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244
.gitignore
vendored
Normal file
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|
|||||||
|
## Core latex/pdflatex auxiliary files:
|
||||||
|
*.aux
|
||||||
|
*.lof
|
||||||
|
*.log
|
||||||
|
*.lot
|
||||||
|
*.fls
|
||||||
|
*.out
|
||||||
|
*.toc
|
||||||
|
*.fmt
|
||||||
|
*.fot
|
||||||
|
*.cb
|
||||||
|
*.cb2
|
||||||
|
.*.lb
|
||||||
|
elegant*-cn.pdf
|
||||||
|
elegant*-en.pdf
|
||||||
|
|
||||||
|
## Intermediate documents:
|
||||||
|
*.dvi
|
||||||
|
*.xdv
|
||||||
|
*-converted-to.*
|
||||||
|
# these rules might exclude image files for figures etc.
|
||||||
|
# *.ps
|
||||||
|
# *.eps
|
||||||
|
# *.pdf
|
||||||
|
|
||||||
|
## Generated if empty string is given at "Please type another file name for output:"
|
||||||
|
.pdf
|
||||||
|
|
||||||
|
## Bibliography auxiliary files (bibtex/biblatex/biber):
|
||||||
|
*.bbl
|
||||||
|
*.bcf
|
||||||
|
*.blg
|
||||||
|
*-blx.aux
|
||||||
|
*-blx.bib
|
||||||
|
*.run.xml
|
||||||
|
|
||||||
|
## Build tool auxiliary files:
|
||||||
|
*.fdb_latexmk
|
||||||
|
*.synctex
|
||||||
|
*.synctex(busy)
|
||||||
|
*.synctex.gz
|
||||||
|
*.synctex.gz(busy)
|
||||||
|
*.pdfsync
|
||||||
|
|
||||||
|
## Auxiliary and intermediate files from other packages:
|
||||||
|
# algorithms
|
||||||
|
*.alg
|
||||||
|
*.loa
|
||||||
|
|
||||||
|
# achemso
|
||||||
|
acs-*.bib
|
||||||
|
|
||||||
|
# amsthm
|
||||||
|
*.thm
|
||||||
|
|
||||||
|
# beamer
|
||||||
|
*.nav
|
||||||
|
*.pre
|
||||||
|
*.snm
|
||||||
|
*.vrb
|
||||||
|
|
||||||
|
# changes
|
||||||
|
*.soc
|
||||||
|
|
||||||
|
# cprotect
|
||||||
|
*.cpt
|
||||||
|
|
||||||
|
# elsarticle (documentclass of Elsevier journals)
|
||||||
|
*.spl
|
||||||
|
|
||||||
|
# endnotes
|
||||||
|
*.ent
|
||||||
|
|
||||||
|
# fixme
|
||||||
|
*.lox
|
||||||
|
|
||||||
|
# feynmf/feynmp
|
||||||
|
*.mf
|
||||||
|
*.mp
|
||||||
|
*.t[1-9]
|
||||||
|
*.t[1-9][0-9]
|
||||||
|
*.tfm
|
||||||
|
|
||||||
|
#(r)(e)ledmac/(r)(e)ledpar
|
||||||
|
*.end
|
||||||
|
*.?end
|
||||||
|
*.[1-9]
|
||||||
|
*.[1-9][0-9]
|
||||||
|
*.[1-9][0-9][0-9]
|
||||||
|
*.[1-9]R
|
||||||
|
*.[1-9][0-9]R
|
||||||
|
*.[1-9][0-9][0-9]R
|
||||||
|
*.eledsec[1-9]
|
||||||
|
*.eledsec[1-9]R
|
||||||
|
*.eledsec[1-9][0-9]
|
||||||
|
*.eledsec[1-9][0-9]R
|
||||||
|
*.eledsec[1-9][0-9][0-9]
|
||||||
|
*.eledsec[1-9][0-9][0-9]R
|
||||||
|
|
||||||
|
# glossaries
|
||||||
|
*.acn
|
||||||
|
*.acr
|
||||||
|
*.glg
|
||||||
|
*.glo
|
||||||
|
*.gls
|
||||||
|
*.glsdefs
|
||||||
|
|
||||||
|
# gnuplottex
|
||||||
|
*-gnuplottex-*
|
||||||
|
|
||||||
|
# gregoriotex
|
||||||
|
*.gaux
|
||||||
|
*.gtex
|
||||||
|
|
||||||
|
# htlatex
|
||||||
|
*.4ct
|
||||||
|
*.4tc
|
||||||
|
*.idv
|
||||||
|
*.lg
|
||||||
|
*.trc
|
||||||
|
*.xref
|
||||||
|
|
||||||
|
# hyperref
|
||||||
|
*.brf
|
||||||
|
|
||||||
|
# knitr
|
||||||
|
*-concordance.tex
|
||||||
|
# TODO Comment the next line if you want to keep your tikz graphics files
|
||||||
|
*.tikz
|
||||||
|
*-tikzDictionary
|
||||||
|
|
||||||
|
# listings
|
||||||
|
*.lol
|
||||||
|
|
||||||
|
# makeidx
|
||||||
|
*.idx
|
||||||
|
*.ilg
|
||||||
|
*.ind
|
||||||
|
*.ist
|
||||||
|
|
||||||
|
# minitoc
|
||||||
|
*.maf
|
||||||
|
*.mlf
|
||||||
|
*.mlt
|
||||||
|
*.mtc[0-9]*
|
||||||
|
*.slf[0-9]*
|
||||||
|
*.slt[0-9]*
|
||||||
|
*.stc[0-9]*
|
||||||
|
|
||||||
|
# minted
|
||||||
|
_minted*
|
||||||
|
*.pyg
|
||||||
|
|
||||||
|
# morewrites
|
||||||
|
*.mw
|
||||||
|
|
||||||
|
# nomencl
|
||||||
|
*.nlg
|
||||||
|
*.nlo
|
||||||
|
*.nls
|
||||||
|
|
||||||
|
# pax
|
||||||
|
*.pax
|
||||||
|
|
||||||
|
# pdfpcnotes
|
||||||
|
*.pdfpc
|
||||||
|
|
||||||
|
# sagetex
|
||||||
|
*.sagetex.sage
|
||||||
|
*.sagetex.py
|
||||||
|
*.sagetex.scmd
|
||||||
|
|
||||||
|
# scrwfile
|
||||||
|
*.wrt
|
||||||
|
|
||||||
|
# sympy
|
||||||
|
*.sout
|
||||||
|
*.sympy
|
||||||
|
sympy-plots-for-*.tex/
|
||||||
|
|
||||||
|
# pdfcomment
|
||||||
|
*.upa
|
||||||
|
*.upb
|
||||||
|
|
||||||
|
# pythontex
|
||||||
|
*.pytxcode
|
||||||
|
pythontex-files-*/
|
||||||
|
|
||||||
|
# thmtools
|
||||||
|
*.loe
|
||||||
|
|
||||||
|
# TikZ & PGF
|
||||||
|
*.dpth
|
||||||
|
*.md5
|
||||||
|
*.auxlock
|
||||||
|
|
||||||
|
# todonotes
|
||||||
|
*.tdo
|
||||||
|
|
||||||
|
# easy-todo
|
||||||
|
*.lod
|
||||||
|
|
||||||
|
# xmpincl
|
||||||
|
*.xmpi
|
||||||
|
|
||||||
|
# xindy
|
||||||
|
*.xdy
|
||||||
|
|
||||||
|
# xypic precompiled matrices
|
||||||
|
*.xyc
|
||||||
|
|
||||||
|
# endfloat
|
||||||
|
*.ttt
|
||||||
|
*.fff
|
||||||
|
|
||||||
|
# Latexian
|
||||||
|
TSWLatexianTemp*
|
||||||
|
|
||||||
|
## Editors:
|
||||||
|
# WinEdt
|
||||||
|
*.bak
|
||||||
|
*.sav
|
||||||
|
|
||||||
|
# Texpad
|
||||||
|
.texpadtmp
|
||||||
|
|
||||||
|
# Kile
|
||||||
|
*.backup
|
||||||
|
|
||||||
|
# KBibTeX
|
||||||
|
*~[0-9]*
|
||||||
|
|
||||||
|
# auto folder when using emacs and auctex
|
||||||
|
./auto/*
|
||||||
|
*.el
|
||||||
|
|
||||||
|
# expex forward references with \gathertags
|
||||||
|
*-tags.tex
|
||||||
|
|
||||||
|
# standalone packages
|
||||||
|
*.sta
|
||||||
|
|
||||||
|
# generated if using elsarticle.cls
|
||||||
|
*.spl
|
||||||
416
License
Normal file
@@ -0,0 +1,416 @@
|
|||||||
|
The LaTeX Project Public License
|
||||||
|
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
|
||||||
|
|
||||||
|
LPPL Version 1.3c 2008-05-04
|
||||||
|
|
||||||
|
Copyright 1999 2002-2008 LaTeX3 Project
|
||||||
|
Everyone is allowed to distribute verbatim copies of this
|
||||||
|
license document, but modification of it is not allowed.
|
||||||
|
|
||||||
|
|
||||||
|
PREAMBLE
|
||||||
|
========
|
||||||
|
|
||||||
|
The LaTeX Project Public License (LPPL) is the primary license under
|
||||||
|
which the LaTeX kernel and the base LaTeX packages are distributed.
|
||||||
|
|
||||||
|
You may use this license for any work of which you hold the copyright
|
||||||
|
and which you wish to distribute. This license may be particularly
|
||||||
|
suitable if your work is TeX-related (such as a LaTeX package), but
|
||||||
|
it is written in such a way that you can use it even if your work is
|
||||||
|
unrelated to TeX.
|
||||||
|
|
||||||
|
The section `WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE',
|
||||||
|
below, gives instructions, examples, and recommendations for authors
|
||||||
|
who are considering distributing their works under this license.
|
||||||
|
|
||||||
|
This license gives conditions under which a work may be distributed
|
||||||
|
and modified, as well as conditions under which modified versions of
|
||||||
|
that work may be distributed.
|
||||||
|
|
||||||
|
We, the LaTeX3 Project, believe that the conditions below give you
|
||||||
|
the freedom to make and distribute modified versions of your work
|
||||||
|
that conform with whatever technical specifications you wish while
|
||||||
|
maintaining the availability, integrity, and reliability of
|
||||||
|
that work. If you do not see how to achieve your goal while
|
||||||
|
meeting these conditions, then read the document `cfgguide.tex'
|
||||||
|
and `modguide.tex' in the base LaTeX distribution for suggestions.
|
||||||
|
|
||||||
|
|
||||||
|
DEFINITIONS
|
||||||
|
===========
|
||||||
|
|
||||||
|
In this license document the following terms are used:
|
||||||
|
|
||||||
|
`Work'
|
||||||
|
Any work being distributed under this License.
|
||||||
|
|
||||||
|
`Derived Work'
|
||||||
|
Any work that under any applicable law is derived from the Work.
|
||||||
|
|
||||||
|
`Modification'
|
||||||
|
Any procedure that produces a Derived Work under any applicable
|
||||||
|
law -- for example, the production of a file containing an
|
||||||
|
original file associated with the Work or a significant portion of
|
||||||
|
such a file, either verbatim or with modifications and/or
|
||||||
|
translated into another language.
|
||||||
|
|
||||||
|
`Modify'
|
||||||
|
To apply any procedure that produces a Derived Work under any
|
||||||
|
applicable law.
|
||||||
|
|
||||||
|
`Distribution'
|
||||||
|
Making copies of the Work available from one person to another, in
|
||||||
|
whole or in part. Distribution includes (but is not limited to)
|
||||||
|
making any electronic components of the Work accessible by
|
||||||
|
file transfer protocols such as FTP or HTTP or by shared file
|
||||||
|
systems such as Sun's Network File System (NFS).
|
||||||
|
|
||||||
|
`Compiled Work'
|
||||||
|
A version of the Work that has been processed into a form where it
|
||||||
|
is directly usable on a computer system. This processing may
|
||||||
|
include using installation facilities provided by the Work,
|
||||||
|
transformations of the Work, copying of components of the Work, or
|
||||||
|
other activities. Note that modification of any installation
|
||||||
|
facilities provided by the Work constitutes modification of the Work.
|
||||||
|
|
||||||
|
`Current Maintainer'
|
||||||
|
A person or persons nominated as such within the Work. If there is
|
||||||
|
no such explicit nomination then it is the `Copyright Holder' under
|
||||||
|
any applicable law.
|
||||||
|
|
||||||
|
`Base Interpreter'
|
||||||
|
A program or process that is normally needed for running or
|
||||||
|
interpreting a part or the whole of the Work.
|
||||||
|
|
||||||
|
A Base Interpreter may depend on external components but these
|
||||||
|
are not considered part of the Base Interpreter provided that each
|
||||||
|
external component clearly identifies itself whenever it is used
|
||||||
|
interactively. Unless explicitly specified when applying the
|
||||||
|
license to the Work, the only applicable Base Interpreter is a
|
||||||
|
`LaTeX-Format' or in the case of files belonging to the
|
||||||
|
`LaTeX-format' a program implementing the `TeX language'.
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
CONDITIONS ON DISTRIBUTION AND MODIFICATION
|
||||||
|
===========================================
|
||||||
|
|
||||||
|
1. Activities other than distribution and/or modification of the Work
|
||||||
|
are not covered by this license; they are outside its scope. In
|
||||||
|
particular, the act of running the Work is not restricted and no
|
||||||
|
requirements are made concerning any offers of support for the Work.
|
||||||
|
|
||||||
|
2. You may distribute a complete, unmodified copy of the Work as you
|
||||||
|
received it. Distribution of only part of the Work is considered
|
||||||
|
modification of the Work, and no right to distribute such a Derived
|
||||||
|
Work may be assumed under the terms of this clause.
|
||||||
|
|
||||||
|
3. You may distribute a Compiled Work that has been generated from a
|
||||||
|
complete, unmodified copy of the Work as distributed under Clause 2
|
||||||
|
above, as long as that Compiled Work is distributed in such a way that
|
||||||
|
the recipients may install the Compiled Work on their system exactly
|
||||||
|
as it would have been installed if they generated a Compiled Work
|
||||||
|
directly from the Work.
|
||||||
|
|
||||||
|
4. If you are the Current Maintainer of the Work, you may, without
|
||||||
|
restriction, modify the Work, thus creating a Derived Work. You may
|
||||||
|
also distribute the Derived Work without restriction, including
|
||||||
|
Compiled Works generated from the Derived Work. Derived Works
|
||||||
|
distributed in this manner by the Current Maintainer are considered to
|
||||||
|
be updated versions of the Work.
|
||||||
|
|
||||||
|
5. If you are not the Current Maintainer of the Work, you may modify
|
||||||
|
your copy of the Work, thus creating a Derived Work based on the Work,
|
||||||
|
and compile this Derived Work, thus creating a Compiled Work based on
|
||||||
|
the Derived Work.
|
||||||
|
|
||||||
|
6. If you are not the Current Maintainer of the Work, you may
|
||||||
|
distribute a Derived Work provided the following conditions are met
|
||||||
|
for every component of the Work unless that component clearly states
|
||||||
|
in the copyright notice that it is exempt from that condition. Only
|
||||||
|
the Current Maintainer is allowed to add such statements of exemption
|
||||||
|
to a component of the Work.
|
||||||
|
|
||||||
|
a. If a component of this Derived Work can be a direct replacement
|
||||||
|
for a component of the Work when that component is used with the
|
||||||
|
Base Interpreter, then, wherever this component of the Work
|
||||||
|
identifies itself to the user when used interactively with that
|
||||||
|
Base Interpreter, the replacement component of this Derived Work
|
||||||
|
clearly and unambiguously identifies itself as a modified version
|
||||||
|
of this component to the user when used interactively with that
|
||||||
|
Base Interpreter.
|
||||||
|
|
||||||
|
b. Every component of the Derived Work contains prominent notices
|
||||||
|
detailing the nature of the changes to that component, or a
|
||||||
|
prominent reference to another file that is distributed as part
|
||||||
|
of the Derived Work and that contains a complete and accurate log
|
||||||
|
of the changes.
|
||||||
|
|
||||||
|
c. No information in the Derived Work implies that any persons,
|
||||||
|
including (but not limited to) the authors of the original version
|
||||||
|
of the Work, provide any support, including (but not limited to)
|
||||||
|
the reporting and handling of errors, to recipients of the
|
||||||
|
Derived Work unless those persons have stated explicitly that
|
||||||
|
they do provide such support for the Derived Work.
|
||||||
|
|
||||||
|
d. You distribute at least one of the following with the Derived Work:
|
||||||
|
|
||||||
|
1. A complete, unmodified copy of the Work;
|
||||||
|
if your distribution of a modified component is made by
|
||||||
|
offering access to copy the modified component from a
|
||||||
|
designated place, then offering equivalent access to copy
|
||||||
|
the Work from the same or some similar place meets this
|
||||||
|
condition, even though third parties are not compelled to
|
||||||
|
copy the Work along with the modified component;
|
||||||
|
|
||||||
|
2. Information that is sufficient to obtain a complete,
|
||||||
|
unmodified copy of the Work.
|
||||||
|
|
||||||
|
7. If you are not the Current Maintainer of the Work, you may
|
||||||
|
distribute a Compiled Work generated from a Derived Work, as long as
|
||||||
|
the Derived Work is distributed to all recipients of the Compiled
|
||||||
|
Work, and as long as the conditions of Clause 6, above, are met with
|
||||||
|
regard to the Derived Work.
|
||||||
|
|
||||||
|
8. The conditions above are not intended to prohibit, and hence do not
|
||||||
|
apply to, the modification, by any method, of any component so that it
|
||||||
|
becomes identical to an updated version of that component of the Work as
|
||||||
|
it is distributed by the Current Maintainer under Clause 4, above.
|
||||||
|
|
||||||
|
9. Distribution of the Work or any Derived Work in an alternative
|
||||||
|
format, where the Work or that Derived Work (in whole or in part) is
|
||||||
|
then produced by applying some process to that format, does not relax or
|
||||||
|
nullify any sections of this license as they pertain to the results of
|
||||||
|
applying that process.
|
||||||
|
|
||||||
|
10. a. A Derived Work may be distributed under a different license
|
||||||
|
provided that license itself honors the conditions listed in
|
||||||
|
Clause 6 above, in regard to the Work, though it does not have
|
||||||
|
to honor the rest of the conditions in this license.
|
||||||
|
|
||||||
|
b. If a Derived Work is distributed under a different license, that
|
||||||
|
Derived Work must provide sufficient documentation as part of
|
||||||
|
itself to allow each recipient of that Derived Work to honor the
|
||||||
|
restrictions in Clause 6 above, concerning changes from the Work.
|
||||||
|
|
||||||
|
11. This license places no restrictions on works that are unrelated to
|
||||||
|
the Work, nor does this license place any restrictions on aggregating
|
||||||
|
such works with the Work by any means.
|
||||||
|
|
||||||
|
12. Nothing in this license is intended to, or may be used to, prevent
|
||||||
|
complete compliance by all parties with all applicable laws.
|
||||||
|
|
||||||
|
|
||||||
|
NO WARRANTY
|
||||||
|
===========
|
||||||
|
|
||||||
|
There is no warranty for the Work. Except when otherwise stated in
|
||||||
|
writing, the Copyright Holder provides the Work `as is', without
|
||||||
|
warranty of any kind, either expressed or implied, including, but not
|
||||||
|
limited to, the implied warranties of merchantability and fitness for a
|
||||||
|
particular purpose. The entire risk as to the quality and performance
|
||||||
|
of the Work is with you. Should the Work prove defective, you assume
|
||||||
|
the cost of all necessary servicing, repair, or correction.
|
||||||
|
|
||||||
|
In no event unless required by applicable law or agreed to in writing
|
||||||
|
will The Copyright Holder, or any author named in the components of the
|
||||||
|
Work, or any other party who may distribute and/or modify the Work as
|
||||||
|
permitted above, be liable to you for damages, including any general,
|
||||||
|
special, incidental or consequential damages arising out of any use of
|
||||||
|
the Work or out of inability to use the Work (including, but not limited
|
||||||
|
to, loss of data, data being rendered inaccurate, or losses sustained by
|
||||||
|
anyone as a result of any failure of the Work to operate with any other
|
||||||
|
programs), even if the Copyright Holder or said author or said other
|
||||||
|
party has been advised of the possibility of such damages.
|
||||||
|
|
||||||
|
|
||||||
|
MAINTENANCE OF THE WORK
|
||||||
|
=======================
|
||||||
|
|
||||||
|
The Work has the status `author-maintained' if the Copyright Holder
|
||||||
|
explicitly and prominently states near the primary copyright notice in
|
||||||
|
the Work that the Work can only be maintained by the Copyright Holder
|
||||||
|
or simply that it is `author-maintained'.
|
||||||
|
|
||||||
|
The Work has the status `maintained' if there is a Current Maintainer
|
||||||
|
who has indicated in the Work that they are willing to receive error
|
||||||
|
reports for the Work (for example, by supplying a valid e-mail
|
||||||
|
address). It is not required for the Current Maintainer to acknowledge
|
||||||
|
or act upon these error reports.
|
||||||
|
|
||||||
|
The Work changes from status `maintained' to `unmaintained' if there
|
||||||
|
is no Current Maintainer, or the person stated to be Current
|
||||||
|
Maintainer of the work cannot be reached through the indicated means
|
||||||
|
of communication for a period of six months, and there are no other
|
||||||
|
significant signs of active maintenance.
|
||||||
|
|
||||||
|
You can become the Current Maintainer of the Work by agreement with
|
||||||
|
any existing Current Maintainer to take over this role.
|
||||||
|
|
||||||
|
If the Work is unmaintained, you can become the Current Maintainer of
|
||||||
|
the Work through the following steps:
|
||||||
|
|
||||||
|
1. Make a reasonable attempt to trace the Current Maintainer (and
|
||||||
|
the Copyright Holder, if the two differ) through the means of
|
||||||
|
an Internet or similar search.
|
||||||
|
|
||||||
|
2. If this search is successful, then enquire whether the Work
|
||||||
|
is still maintained.
|
||||||
|
|
||||||
|
a. If it is being maintained, then ask the Current Maintainer
|
||||||
|
to update their communication data within one month.
|
||||||
|
|
||||||
|
b. If the search is unsuccessful or no action to resume active
|
||||||
|
maintenance is taken by the Current Maintainer, then announce
|
||||||
|
within the pertinent community your intention to take over
|
||||||
|
maintenance. (If the Work is a LaTeX work, this could be
|
||||||
|
done, for example, by posting to comp.text.tex.)
|
||||||
|
|
||||||
|
3a. If the Current Maintainer is reachable and agrees to pass
|
||||||
|
maintenance of the Work to you, then this takes effect
|
||||||
|
immediately upon announcement.
|
||||||
|
|
||||||
|
b. If the Current Maintainer is not reachable and the Copyright
|
||||||
|
Holder agrees that maintenance of the Work be passed to you,
|
||||||
|
then this takes effect immediately upon announcement.
|
||||||
|
|
||||||
|
4. If you make an `intention announcement' as described in 2b. above
|
||||||
|
and after three months your intention is challenged neither by
|
||||||
|
the Current Maintainer nor by the Copyright Holder nor by other
|
||||||
|
people, then you may arrange for the Work to be changed so as
|
||||||
|
to name you as the (new) Current Maintainer.
|
||||||
|
|
||||||
|
5. If the previously unreachable Current Maintainer becomes
|
||||||
|
reachable once more within three months of a change completed
|
||||||
|
under the terms of 3b) or 4), then that Current Maintainer must
|
||||||
|
become or remain the Current Maintainer upon request provided
|
||||||
|
they then update their communication data within one month.
|
||||||
|
|
||||||
|
A change in the Current Maintainer does not, of itself, alter the fact
|
||||||
|
that the Work is distributed under the LPPL license.
|
||||||
|
|
||||||
|
If you become the Current Maintainer of the Work, you should
|
||||||
|
immediately provide, within the Work, a prominent and unambiguous
|
||||||
|
statement of your status as Current Maintainer. You should also
|
||||||
|
announce your new status to the same pertinent community as
|
||||||
|
in 2b) above.
|
||||||
|
|
||||||
|
|
||||||
|
WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE
|
||||||
|
======================================================
|
||||||
|
|
||||||
|
This section contains important instructions, examples, and
|
||||||
|
recommendations for authors who are considering distributing their
|
||||||
|
works under this license. These authors are addressed as `you' in
|
||||||
|
this section.
|
||||||
|
|
||||||
|
Choosing This License or Another License
|
||||||
|
----------------------------------------
|
||||||
|
|
||||||
|
If for any part of your work you want or need to use *distribution*
|
||||||
|
conditions that differ significantly from those in this license, then
|
||||||
|
do not refer to this license anywhere in your work but, instead,
|
||||||
|
distribute your work under a different license. You may use the text
|
||||||
|
of this license as a model for your own license, but your license
|
||||||
|
should not refer to the LPPL or otherwise give the impression that
|
||||||
|
your work is distributed under the LPPL.
|
||||||
|
|
||||||
|
The document `modguide.tex' in the base LaTeX distribution explains
|
||||||
|
the motivation behind the conditions of this license. It explains,
|
||||||
|
for example, why distributing LaTeX under the GNU General Public
|
||||||
|
License (GPL) was considered inappropriate. Even if your work is
|
||||||
|
unrelated to LaTeX, the discussion in `modguide.tex' may still be
|
||||||
|
relevant, and authors intending to distribute their works under any
|
||||||
|
license are encouraged to read it.
|
||||||
|
|
||||||
|
A Recommendation on Modification Without Distribution
|
||||||
|
-----------------------------------------------------
|
||||||
|
|
||||||
|
It is wise never to modify a component of the Work, even for your own
|
||||||
|
personal use, without also meeting the above conditions for
|
||||||
|
distributing the modified component. While you might intend that such
|
||||||
|
modifications will never be distributed, often this will happen by
|
||||||
|
accident -- you may forget that you have modified that component; or
|
||||||
|
it may not occur to you when allowing others to access the modified
|
||||||
|
version that you are thus distributing it and violating the conditions
|
||||||
|
of this license in ways that could have legal implications and, worse,
|
||||||
|
cause problems for the community. It is therefore usually in your
|
||||||
|
best interest to keep your copy of the Work identical with the public
|
||||||
|
one. Many works provide ways to control the behavior of that work
|
||||||
|
without altering any of its licensed components.
|
||||||
|
|
||||||
|
How to Use This License
|
||||||
|
-----------------------
|
||||||
|
|
||||||
|
To use this license, place in each of the components of your work both
|
||||||
|
an explicit copyright notice including your name and the year the work
|
||||||
|
was authored and/or last substantially modified. Include also a
|
||||||
|
statement that the distribution and/or modification of that
|
||||||
|
component is constrained by the conditions in this license.
|
||||||
|
|
||||||
|
Here is an example of such a notice and statement:
|
||||||
|
|
||||||
|
%% pig.dtx
|
||||||
|
%% Copyright 2005 M. Y. Name
|
||||||
|
%
|
||||||
|
% This work may be distributed and/or modified under the
|
||||||
|
% conditions of the LaTeX Project Public License, either version 1.3
|
||||||
|
% of this license or (at your option) any later version.
|
||||||
|
% The latest version of this license is in
|
||||||
|
% http://www.latex-project.org/lppl.txt
|
||||||
|
% and version 1.3 or later is part of all distributions of LaTeX
|
||||||
|
% version 2005/12/01 or later.
|
||||||
|
%
|
||||||
|
% This work has the LPPL maintenance status `maintained'.
|
||||||
|
%
|
||||||
|
% The Current Maintainer of this work is M. Y. Name.
|
||||||
|
%
|
||||||
|
% This work consists of the files pig.dtx and pig.ins
|
||||||
|
% and the derived file pig.sty.
|
||||||
|
|
||||||
|
Given such a notice and statement in a file, the conditions
|
||||||
|
given in this license document would apply, with the `Work' referring
|
||||||
|
to the three files `pig.dtx', `pig.ins', and `pig.sty' (the last being
|
||||||
|
generated from `pig.dtx' using `pig.ins'), the `Base Interpreter'
|
||||||
|
referring to any `LaTeX-Format', and both `Copyright Holder' and
|
||||||
|
`Current Maintainer' referring to the person `M. Y. Name'.
|
||||||
|
|
||||||
|
If you do not want the Maintenance section of LPPL to apply to your
|
||||||
|
Work, change `maintained' above into `author-maintained'.
|
||||||
|
However, we recommend that you use `maintained', as the Maintenance
|
||||||
|
section was added in order to ensure that your Work remains useful to
|
||||||
|
the community even when you can no longer maintain and support it
|
||||||
|
yourself.
|
||||||
|
|
||||||
|
Derived Works That Are Not Replacements
|
||||||
|
---------------------------------------
|
||||||
|
|
||||||
|
Several clauses of the LPPL specify means to provide reliability and
|
||||||
|
stability for the user community. They therefore concern themselves
|
||||||
|
with the case that a Derived Work is intended to be used as a
|
||||||
|
(compatible or incompatible) replacement of the original Work. If
|
||||||
|
this is not the case (e.g., if a few lines of code are reused for a
|
||||||
|
completely different task), then clauses 6b and 6d shall not apply.
|
||||||
|
|
||||||
|
|
||||||
|
Important Recommendations
|
||||||
|
-------------------------
|
||||||
|
|
||||||
|
Defining What Constitutes the Work
|
||||||
|
|
||||||
|
The LPPL requires that distributions of the Work contain all the
|
||||||
|
files of the Work. It is therefore important that you provide a
|
||||||
|
way for the licensee to determine which files constitute the Work.
|
||||||
|
This could, for example, be achieved by explicitly listing all the
|
||||||
|
files of the Work near the copyright notice of each file or by
|
||||||
|
using a line such as:
|
||||||
|
|
||||||
|
% This work consists of all files listed in manifest.txt.
|
||||||
|
|
||||||
|
in that place. In the absence of an unequivocal list it might be
|
||||||
|
impossible for the licensee to determine what is considered by you
|
||||||
|
to comprise the Work and, in such a case, the licensee would be
|
||||||
|
entitled to make reasonable conjectures as to which files comprise
|
||||||
|
the Work.
|
||||||
|
|
||||||
25
README.md
Normal file
@@ -0,0 +1,25 @@
|
|||||||
|
<!-- Author : Dongsheng Deng & Liam Huang-->
|
||||||
|
<!-- Program Email: elegantlatex2e@gmail.com -->
|
||||||
|
|
||||||
|
# ElegantBook
|
||||||
|
|
||||||
|
[Homepage](https://elegantlatex.org/) | [Github](https://github.com/ElegantLaTeX/ElegantBook) | [CTAN](https://ctan.org/pkg/elegantbook) | [Download](https://github.com/ElegantLaTeX/ElegantBook/releases) | [Wiki](https://github.com/ElegantLaTeX/ElegantBook/wiki) | [Weibo](https://weibo.com/elegantlatex)
|
||||||
|
|
||||||
|

|
||||||
|

|
||||||
|

|
||||||
|

|
||||||
|
|
||||||
|
ElegantBook is designed for books. Just enjoy it! If you have any questions, suggestions or bug reports, you can create issues or contact us at elegantlatex2e@gmail.com.
|
||||||
|
|
||||||
|
如果你有其他问题、建议或者报告 bug,可以提交 issues 或者给我们发邮件:elegantlatex2e@gmail.com。最近我们新建了一个 QQ 用户交流群(Q 群:692108391),欢迎加入。
|
||||||
|
|
||||||
|
**注意:** 由于新版本进行了重构,并且 3.6 版本对于封面进行了改版,3.6 以后的版本并不兼容之前版本,如果你想把之前版本的文件转为 3.6 以后的版本,请查看[跨版本转换](https://github.com/ElegantLaTeX/ElegantBook/wiki/convert)。
|
||||||
|
|
||||||
|
**重要提示:出于某些因素的考虑,ElegantLaTeX 项目自 2019 年 5 月 20 日开始,不再接受任何非作者预约性质的提交(pull request)!如果你想改进模板,你可以给我们提交 issue,或者可以在遵循协议的情况下,克隆到自己仓库下进行修改**。
|
||||||
|
|
||||||
|
# License
|
||||||
|
|
||||||
|
This work is released under the LaTeX Project Public License, v1.3c or later.
|
||||||
|
|
||||||
|
本模板发布遵循 LaTeX 项目公共许可证 1.3 c 或更高版本。
|
||||||
34
base.tex
@@ -1,34 +0,0 @@
|
|||||||
|
|
||||||
%% tikz setting
|
|
||||||
\tikzset{x=1pt,y=1pt}
|
|
||||||
\tikzset{elegant/.style={fill=main,draw=main},
|
|
||||||
null/.style={fill=white,draw=none}}
|
|
||||||
|
|
||||||
%% the triangle shape
|
|
||||||
\newcommand{\triz}[2]{
|
|
||||||
\begin{scope}[xshift=#1,rotate=#2]
|
|
||||||
\draw[elegant] (0,0) -- (105,6) .. controls (119,21) and (132,13) .. (135,12) .. controls (124,15) and (110,8) .. (107,-12) -- cycle;
|
|
||||||
\draw[null] (40,-0.5) -- (101,-4) -- (103,1)--cycle;
|
|
||||||
\end{scope}
|
|
||||||
}
|
|
||||||
|
|
||||||
%% the ellipse shape +127
|
|
||||||
\newcommand{\ellz}[1]{
|
|
||||||
\begin{scope}[xshift=#1,yshift=3]
|
|
||||||
\draw[elegant,rotate around={60:(0,-3)}](0,-3) ellipse (10.5 and 8.5);
|
|
||||||
\draw[null](-3,-10) .. controls (-10,-6) and (-2,6) .. (4.5,4) .. controls (0,3) and (-4,-6) .. (-3,-10)--cycle;
|
|
||||||
\end{scope}
|
|
||||||
}
|
|
||||||
|
|
||||||
%% the integration shape+147
|
|
||||||
\newcommand{\intz}[1]{
|
|
||||||
\begin{scope}[xshift=#1,yshift=2]
|
|
||||||
\draw[elegant,draw=none,very thin] (-31,-14.5) .. controls (-17,-21) and (-9,-8) .. (-3,0) .. controls (10,19) and (22,17) .. (29,9) .. controls (21,13) and (13,13) .. (3,-1) .. controls (-4,-11) and (-18,-27) .. (-31,-14.5) -- cycle ;
|
|
||||||
\end{scope}
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
5
delete-temp-files.bat
Normal file
@@ -0,0 +1,5 @@
|
|||||||
|
@echo off
|
||||||
|
del /q *.aux *.bbl *.blg *.log *.out *.toc *.bcf *.xml *.synctex *.nlo *.nls *.bak *.ind *.idx *.ilg *.lof *.lot *.ent-x *.tmp *.ltx *.los *.lol *.loc *.listing *.gz *.userbak *.nav *.snm *.vrb *.synctex(busy)
|
||||||
|
|
||||||
|
|
||||||
|
del /q *.nav *.snm *.vrb *.fls *.xdv *.fdb_latexmk
|
||||||
726
elegantbook-cn.tex
Normal file
@@ -0,0 +1,726 @@
|
|||||||
|
\documentclass[cn,11pt]{elegantbook}
|
||||||
|
|
||||||
|
\title{ElegantBook:优美的 \LaTeX{} 书籍模板}
|
||||||
|
\subtitle{Elegant\LaTeX{} 经典之作}
|
||||||
|
|
||||||
|
\author{Ethan Deng \& Liam Huang}
|
||||||
|
\institute{Elegant\LaTeX{} Program}
|
||||||
|
\date{\today}
|
||||||
|
\version{3.08}
|
||||||
|
|
||||||
|
\extrainfo{Victory won\rq t come to us unless we go to it. --- M. Moore}
|
||||||
|
|
||||||
|
\logo{logo.png}
|
||||||
|
\cover{cover.jpg}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\maketitle
|
||||||
|
\tableofcontents
|
||||||
|
|
||||||
|
% \thispagestyle{empty}
|
||||||
|
|
||||||
|
\mainmatter
|
||||||
|
\hypersetup{pageanchor=true}
|
||||||
|
|
||||||
|
\chapter{Elegant\LaTeX{} 系列模板介绍}
|
||||||
|
|
||||||
|
|
||||||
|
Elegant\LaTeX{} 项目组致力于打造一系列美观、优雅、简便的模板方便用户使用。目前由 \href{https://github.com/ElegantLaTeX/ElegantNote}{ElegantNote},\href{https://github.com/ElegantLaTeX/ElegantBook}{ElegantBook},\href{https://github.com/ElegantLaTeX/ElegantPaper}{ElegantPaper} 组成,分别用于排版笔记,书籍和工作论文。强烈推荐使用最新正式版本!本文将介绍本模板的一些设置内容以及基本使用方法。如果您有其他问题,建议或者意见,欢迎在 Github 上给我们提交 \href{https://github.com/ElegantLaTeX/ElegantBook/issues}{issues} 或者邮件联系我们。
|
||||||
|
|
||||||
|
我们的相关联系方式:
|
||||||
|
\begin{itemize}
|
||||||
|
\item 官网:\href{https://elegantlatex.org/}{https://elegantlatex.org/}
|
||||||
|
\item Github 网址:\href{https://github.com/ElegantLaTeX/}{https://github.com/ElegantLaTeX/}
|
||||||
|
\item CTAN 地址:\href{https://ctan.org/pkg/elegantbook}{https://ctan.org/pkg/elegantbook}
|
||||||
|
\item 文档 Wiki:\href{https://github.com/ElegantLaTeX/ElegantBook/wiki}{https://github.com/ElegantLaTeX/ElegantBook/wiki}
|
||||||
|
\item 下载地址:\href{https://github.com/ElegantLaTeX/ElegantBook/releases}{正式发行版},\href{https://github.com/ElegantLaTeX/ElegantBook/archive/master.zip}{最新版}
|
||||||
|
\item 微博:ElegantLaTeX
|
||||||
|
\item 微信公众号:ElegantLaTeX
|
||||||
|
\item 用户 QQ 群:692108391
|
||||||
|
\item 邮件:\email{elegantlatex2e@gmail.com}
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
|
||||||
|
\section{ElegantBook 更新说明}
|
||||||
|
此次更新主要涉及
|
||||||
|
\begin{enumerate}
|
||||||
|
\item 修复 \lstinline|\part| 命令;
|
||||||
|
\item 增加 pad 模式;
|
||||||
|
\item 增加 mtpro2 宏包选项支持;
|
||||||
|
\item 修改参考文献默认为 numbers 格式;
|
||||||
|
\item 增加章节介绍 introduction 环境;
|
||||||
|
\item 增加章节习题 problemset 环境;
|
||||||
|
\item 增加旁注,\lstinline{\elegantpar} 命令(测试);
|
||||||
|
\item 减少公式前后距离;
|
||||||
|
\item \lstinline{\equote} 改为 \lstinline{\extrainfo},并且多行显示;
|
||||||
|
\item 完善文档,增加致谢等部分。
|
||||||
|
\end{enumerate}
|
||||||
|
|
||||||
|
\begin{note}
|
||||||
|
由于新版本进行了重构,3.x 版本并不兼容 2.x 版本,并且在 3.06 版本更新过封面,如果你想把 3.06 版本(包括 2.x 版本)之前的文件转为最新版本兼容的文件,请仔细查看\href{https://github.com/ElegantLaTeX/ElegantBook/wiki/convert}{跨版本转换}。今后不再回答关于 2.x 版本的问题。
|
||||||
|
\end{note}
|
||||||
|
|
||||||
|
\section{模板安装与更新}
|
||||||
|
你可以通过免安装的方式使用本模板,也可以通过安装模板的方式使用。
|
||||||
|
|
||||||
|
免安装使用方法如下,从 Github 或者 CTAN 下载最新(正式)版文件,严格意义上只需要类文件 \lstinline{elegantbook.cls}。然后将模板文件放在你的工作目录下即可使用。这样使用的好处是,无需安装,简便;缺点是,当模板进行更新之后,你需要手动替换 \lstinline{cls} 文件。
|
||||||
|
|
||||||
|
如果你是 \TeX{} Live 2019 用户,我们非常推荐你直接进行安装和更新。你可以通过 \TeX{} Live 2019 自带的 \lstinline{tlshell}\footnote{也叫 \TeX{} Live Manager} 进行安装。安装非常简单,步骤如下,搜索并打开 \lstinline{tlshell},然后通过 \lstinline{File -> Load Default Repository} 加载远程仓库,如果你不想使用默认的仓库,你可以通过 \lstinline{Options} 下的菜单设置远程仓库。设置好仓库之后,等待仓库加载完毕,你可以在下面的搜索栏搜索 \lstinline{elegantbook},然后选择进行安装与更新。
|
||||||
|
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.7\textwidth]{tlshell.png}
|
||||||
|
\caption{使用 \TeX{} Live Shell 安装 ElegantBook 模板}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
如果你是 \TeX{} Live 2018 的用户,由于 2018 无法直接更新到 2019,所以你想更新的话,需要卸载 2018 重装 2019。如果你实在不想折腾,那么你仍然可以使用本模板。你可以手动安装模板,将 \lstinline{elegantbook.cls} 复制到你的 \TeX{} Live 目录下,默认安装目录为 \lstinline|C:\texlive\2019\texmf-dist\tex\latex\elegantbook|,然后通过命令行(管理员权限),运行 \lstinline{texhash} 即可。
|
||||||
|
|
||||||
|
啥?你是 C\TeX{} 用户?Sorry,本模板不提供支持。
|
||||||
|
|
||||||
|
更多关于 \TeX{} Live 2019 的安装使用以及 C\TeX{} 与 \TeX{} Live 的兼容、系统路径问题,请参考官方文档以及啸行的\href{https://github.com/OsbertWang/install_latex/releases}{一份简短的安装 \LaTeX{} 的介绍}。
|
||||||
|
|
||||||
|
\section{在线使用模板}
|
||||||
|
考虑到用户的在线合作需求,我们把三套模板全部上传到 \href{https://www.overleaf.com/}{Overleaf} 上了,网络通畅的用户可以直接通过 Overleaf 在线使用我们的模板。这样的好处是无需安装 \TeX{} Live 2019,可以随时随地访问自己的文件。查找模板,请在 Overleaf 模板库里面搜索 \lstinline{elegantlatex} 即可,你也可以直接访问\href{https://www.overleaf.com/latex/templates?addsearch=elegantlatex}{搜索结果}。选择适当的模板之后,将其 \lstinline{Open as Template},即可把模板存到自己账户下,然后可以自由编辑以及与别人一起协作。更多关于 Overleaf 的介绍和使用,请参考 Overleaf 的\href{https://www.overleaf.com/learn}{官方文档}。
|
||||||
|
|
||||||
|
\begin{remark}
|
||||||
|
Overleaf 上,中文需要使用 \lstinline{XeLaTeX} 进行编译,英文可以使用 \lstinline{PDFLaTeX} 与 \lstinline{XeLaTeX} 进行编译。
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
\section{用户作品计划}
|
||||||
|
Elegant\LaTeX{} 系列模板从创立至今已经有 8 年了,我们的模板也受到了很多用户的喜爱,在此,为了促进模板用户之间的交流,了解用户需求,完善本模板,我们将建立一个区域专门展示用户的文档,包括但不限于 Github 和官网等。如果你愿意将自己的作品展示出来,请邮件或者其他方式联系我们。如果自己代码已经传到 Github 或者 Gitee 等网站,可以提供对应网址。
|
||||||
|
|
||||||
|
\section{关于提交}
|
||||||
|
出于某些因素的考虑,Elegant\LaTeX{} 项目自 2019 年 5 月 20 日开始,\textbf{不再接受任何非作者预约性质的提交}(pull request)!如果你想改进模板,你可以给我们提交 issues,或者可以在遵循协议(LPPL-1.3c)的情况下,克隆到自己仓库下进行修改。
|
||||||
|
|
||||||
|
\section{协作人员招募}
|
||||||
|
招募 Elegant\LaTeX{} 的协作人员,没有工资。工作内容:翻译 Elegant\LaTeX{} 系列模板相关的文稿(中文->英文),维护模板的 wiki(主要涉及 Markdown 语法),如果有公众号文稿写作经历的话,也可以帮忙写微信稿。本公告长期有效。
|
||||||
|
|
||||||
|
\section{致谢}
|
||||||
|
2019 年 5 月 20 日,ElegantBook 模板在 Github 上的 star 数达到了 100,并且 21 日上了 Github 网站 \TeX{} 语言的\href{https://github.com/trending/tex?since=daily}{日趋势榜单}。这对于 Elegant\LaTeX{} 系列模板都是一个里程碑!
|
||||||
|
|
||||||
|
在此特别感谢 China\TeX{} 以及 \href{http://www.latexstudio.net/}{\LaTeX{} 工作室}对于本系列模板的大力宣传与推广。\LaTeX{} 工作室网站上有很多精彩的帖子和精致的模板,欢迎大家去挖掘里面的宝藏。这也是国内最全面的 \LaTeX{} 相关的网站。
|
||||||
|
|
||||||
|
特别感谢 \href{https://github.com/muzimuzhi}{muzimuzhi} 对于模板的完善。
|
||||||
|
|
||||||
|
如果你喜欢我们的模板,你可以在 Github 上收藏我们的模板。
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=\textwidth]{star.png}
|
||||||
|
\caption{一键三连求赞}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
之前我们模板从未发布过捐赠/打赏信息,近期有用户反映他们对我们模板非常喜爱,想打赏没有支付码,不禁感叹,这世道变了啊,还有主动打赏的,那么我们就“勉为其难”地发布我们的打赏二维码吧!
|
||||||
|
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.5\textwidth]{donate.jpg}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
赞赏费用的使用解释权归 Elegant\LaTeX{} 所有,并且不接受监督,请自愿理性打赏,10 元以上的赞赏,我们将列入捐赠榜,谢谢各位金主!
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\centering
|
||||||
|
\caption{捐赠榜}
|
||||||
|
\begin{tabular}{cccc}
|
||||||
|
\toprule
|
||||||
|
捐赠者 & 金额 & 时间 & 渠道 \\
|
||||||
|
\midrule
|
||||||
|
Lerh & 10 元 & 2019/5/15 & 微信 \\
|
||||||
|
越过地平线 & 10 元 & 2019/5/15 & 微信 \\
|
||||||
|
大熊 & 20 元 & 2019/5/27 & 微信 \\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}%
|
||||||
|
\end{table}%
|
||||||
|
|
||||||
|
再次感谢大家对于模板的喜爱!
|
||||||
|
|
||||||
|
\chapter{ElegantBook 设置说明}
|
||||||
|
|
||||||
|
本模板基于基础的 book 文类,所以 book 的选项对于本模板也是有效的。默认编码为 UTF-8,推荐使用 \TeX{} Live 编译。本文编写环境为 Win10 (64bit) + \TeX{} Live 2019,支持 \lstinline{PDFLaTeX} 以及 \lstinline{XeLaTeX} 编译。
|
||||||
|
|
||||||
|
|
||||||
|
\section{语言模式}
|
||||||
|
本模板内含两套语言环境,改变语言环境会改变图表标题的引导词(图,表),文章结构词(比如目录,参考文献等),以及定理环境中的引导词(比如定理,引理等)。不同语言模式的启用如下:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[cn]{elegantbook}
|
||||||
|
\documentclass[lang=cn]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\begin{remark}
|
||||||
|
只有中文环境(\lstinline{lang=cn})才可以输入中文。另外如果抄录环境(\lstinline{lstlisting})中有中文字符,请务必使用 \lstinline{XeLaTeX} 编译。
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
\section{设备选项}
|
||||||
|
最早我们在 ElegantNote 模板中加入了设备选项(\lstinline{device}),后来,我们觉得这个设备选项的设置可以应用到 ElegantBook 中\footnote{不过因为 ElegantBook 模板封面图片的存在,在修改页面设计时,需要对图片进行裁剪。},而且 Book 一般内容比较多,如果在 iPad 上看无需切边,放大,那用户的阅读体验将会得到巨大提升。你可以使用下面的选项将版面设置为 iPad 设备模式\footnote{默认为 normal 模式,也即 A4 纸张大小。}
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[pad]{elegantbook} %or
|
||||||
|
\documentclass[device=pad]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{颜色主题}
|
||||||
|
本模板内置 5 组颜色主题,分别为 \textcolor{structure1}{\lstinline{green}}\footnote{为原先默认主题。}、\textcolor{structure2}{\lstinline{cyan}}、\textcolor{structure3}{\lstinline{blue}}(默认)、\textcolor{structure4}{\lstinline{gray}}、\textcolor{structure5}{\lstinline{black}}。另外还有一个自定义的选项 \lstinline{nocolor}。调用颜色主题 \lstinline{green} 的方法为
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[green]{elegantbook} %or
|
||||||
|
\documentclass[color=green]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\caption{ElegantBook 模板中的颜色主题\label{tab:color thm}}
|
||||||
|
\centering
|
||||||
|
\begin{tabular}{ccccccc}
|
||||||
|
\toprule
|
||||||
|
& \textcolor{structure1}{green}
|
||||||
|
& \textcolor{structure2}{cyan}
|
||||||
|
& \textcolor{structure3}{blue}
|
||||||
|
& \textcolor{structure4}{gray}
|
||||||
|
& \textcolor{structure5}{black}
|
||||||
|
& 主要使用的环境\\
|
||||||
|
\midrule
|
||||||
|
structure & \makecell{{\color{structure1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure5}\rule{1cm}{1cm}}}
|
||||||
|
& chapter \ section \ subsection \\
|
||||||
|
|
||||||
|
main & \makecell{{\color{main1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main5}\rule{1cm}{1cm}}}
|
||||||
|
& definition \ exercise \ problem \\
|
||||||
|
|
||||||
|
second & \makecell{{\color{second1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second5}\rule{1cm}{1cm}}}
|
||||||
|
& theorem \ lemma \ corollary\\
|
||||||
|
|
||||||
|
third & \makecell{{\color{third1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third5}\rule{1cm}{1cm}}}
|
||||||
|
& proposition\\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
如果需要自定义颜色的话请选择 \lstinline{nocolor} 选项或者使用 \lstinline{color=none},然后在导言区定义 structurecolor、main、second、third 颜色,具体方法如下:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\definecolor{structurecolor}{RGB}{0,0,0}
|
||||||
|
\definecolor{main}{RGB}{70,70,70}
|
||||||
|
\definecolor{second}{RGB}{115,45,2}
|
||||||
|
\definecolor{third}{RGB}{0,80,80}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\section{章标题显示风格}
|
||||||
|
|
||||||
|
本模板内置 2 套\textit{章标题显示风格},包含 \lstinline{hang}(默认)与 \lstinline{display} 两种风格,区别在于章标题单行显示(\lstinline{hang})与双行显示(\lstinline{display}),本说明使用了 \lstinline{hang}。调用方式为
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[hang]{elegantbook} %or
|
||||||
|
\documentclass[titlestyle=hang]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{数学环境简介}
|
||||||
|
|
||||||
|
在我们这个模板中,我们定义了两种不同的定理模式 \lstinline{mode},包括简单模式(\lstinline{simple})和炫彩模式(\lstinline{fancy}),默认为 \lstinline{fancy} 模式,不同模式的选择为
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[simple]{elegantbook} %or
|
||||||
|
\documentclass[mode=simple]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
本模板定义了四大类环境
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item \textit{定理类环境},包含标题和内容两部分,全部定理类环境的编号均以章节编号。根据格式的不同分为 3 种
|
||||||
|
\begin{itemize}
|
||||||
|
\item \textcolor{main}{\textbf{definition}} 环境,颜色为 \textcolor{main}{main};
|
||||||
|
\item \textcolor{second}{\textbf{theorem、lemma、corollary}} 环境,颜色为 \textcolor{second} {second};
|
||||||
|
\item \textcolor{third}{\textbf{proposition}} 环境,颜色为 \textcolor{third}{third}。
|
||||||
|
\end{itemize}
|
||||||
|
\item \textit{示例类环境},有 \textbf{example、exercise、problem} 环境(对应于例,练习,例题),自动编号,编号以章节为单位。
|
||||||
|
\item \textit{证明类环境},有 \textbf{proof、note} 环境,特点是,有引导符或者结尾符,\textbf{note} 环境有引导符号,\textbf{proof} 环境有证明完毕符号。
|
||||||
|
\item \textit{结论类环境},有 \textbf{conclusion、assumption、property,remark、solution} 环境\footnote{本模板还添加了一个 result 选项,用于隐藏 \lstinline{solution} 和 \lstinline{proof} 环境,默认为显示(\lstinline{result=answer}),隐藏使用 \lstinline{result=noanswer}。},三者均以粗体的引导词为开头,和普通段落格式一致。
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\subsection{定理类环境的使用}
|
||||||
|
由于本模板使用了 \lstinline{tcolorbox} 宏包来定制定理类环境,所以和普通的定理环境的使用有些许区别,定理的使用方法如下:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{theorem}{theorem name}{label}
|
||||||
|
The content of theorem.
|
||||||
|
\end{theorem}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
第一个必选项 \lstinline{theorem name} 是定理的名字,第二个必选项 \lstinline{label} 是交叉引用时所用到的标签,交叉引用的方法为 \verb|\ref{thm:label}|。请注意,交叉引用时必须加上前缀 \lstinline{thm:}。
|
||||||
|
|
||||||
|
其他相同用法的定理类环境有:
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\centering
|
||||||
|
\caption{定理类环境}
|
||||||
|
\begin{tabular}{llll}
|
||||||
|
\toprule
|
||||||
|
环境名 & 标签名 & 前缀 & 交叉引用 \\
|
||||||
|
\midrule
|
||||||
|
definition & label & def & \lstinline|\ref{def:label}| \\
|
||||||
|
theorem & label & thm & \lstinline|\ref{thm:label}| \\
|
||||||
|
lemma & label & lem & \lstinline|\ref{lem:label}| \\
|
||||||
|
corrlary & label & cor & \lstinline|\ref{cor:label}| \\
|
||||||
|
proposition & label & pro & \lstinline|\ref{pro:label}| \\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}%
|
||||||
|
\label{tab:theorem-class}%
|
||||||
|
\end{table}%
|
||||||
|
|
||||||
|
|
||||||
|
\subsection{其他环境的使用}
|
||||||
|
其他三种环境没有选项,可以直接使用,比如 \lstinline{example} 环境的使用方法与效果:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{example}
|
||||||
|
This is the content of example environment.
|
||||||
|
\end{example}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\begin{example}
|
||||||
|
This is the content of example environment.
|
||||||
|
\end{example}
|
||||||
|
|
||||||
|
|
||||||
|
这几个都是同一类环境,区别在于
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item 示例环境(example)、练习(exercise)与例题(problem)章节自动编号;
|
||||||
|
\item 注意(note)环境有提醒引导符,证明(proof)环境有证明结束符;
|
||||||
|
\item 结论(conclusion)等环境都是普通段落环境,引导词加粗。
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\section{装饰物}
|
||||||
|
|
||||||
|
本模板为章节后的装饰物(base)添加了隐藏选项,有 \lstinline{show} 和 \lstinline{hide} 两个选项。
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[hide]{elegantbook} %or
|
||||||
|
\documentclass[base=hide]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{封面和徽标}
|
||||||
|
|
||||||
|
本模板使用的封面图片来源于 \href{https://pixabay.com/en/tea-time-poetry-coffee-reading-3240766/}{pixabay.com}\footnote{感谢 China\TeX{} 提供免费图源网站,另外还推荐 \href{https://www.pexels.com/}{pexels.com}。},图片完全免费,可用于任何场景。封面图片的尺寸为 $1280 \times 1024$, 更换图片的时候请\textbf{严格}按照封面图片尺寸进行裁剪。推荐一个免费的在线图片裁剪网站 \href{https://www.befunky.com/create/crop-photo/}{befunky.com}。
|
||||||
|
|
||||||
|
本文用到的 Logo 比例为 1:1,也即正方形图片,在更换图片的时候请选择合适的图片进行替换。
|
||||||
|
|
||||||
|
\section{列表环境}
|
||||||
|
本模板借助于 \lstinline{tikz} 定制了 \lstinline{itemize} 和 \lstinline{enumerate} 环境,其中 \lstinline{itemize} 环境修改了 3 层嵌套,而 \lstinline{enumerate} 环境修改了 4 层嵌套(仅改变颜色)。示例如下\\[2ex]
|
||||||
|
\begin{minipage}[b]{0.49\textwidth}
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nesti;
|
||||||
|
\item second item of nesti;
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nestii;
|
||||||
|
\item second item of nestii;
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nestiii;
|
||||||
|
\item second item of nestiii.
|
||||||
|
\end{itemize}
|
||||||
|
\end{itemize}
|
||||||
|
\end{itemize}
|
||||||
|
\end{minipage}
|
||||||
|
\begin{minipage}[b]{0.49\textwidth}
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nesti;
|
||||||
|
\item second item of nesti;
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nestii;
|
||||||
|
\item second item of nestii;
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nestiii;
|
||||||
|
\item second item of nestiii.
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
\section{参考文献}
|
||||||
|
|
||||||
|
此模板使用了 \hologo{BibTeX} 来生成参考文献,在中文示例中,使用了 \lstinline{gbt7714} 宏包。参考文献示例:\cite{en1,en2,en3} 使用了中国一个大型的 P2P 平台(人人贷)的数据来检验男性投资者和女性投资者在投资表现上是否有显著差异。
|
||||||
|
|
||||||
|
你可以在谷歌学术,Mendeley,Endnote 中获得文献条目(bib item),然后把它们添加到 \lstinline{reference.bib} 中。在文中引用的时候,引用它们的键值(bib key)即可。注意需要在编译的过程中添加 \hologo{BibTeX} 编译。如果你想添加未引用的文献,可以使用
|
||||||
|
\begin{lstlisting}[frame=single]
|
||||||
|
\nocite{EINAV2010,Havrylchyk2018} %or include some bibitems
|
||||||
|
\nocite{*} %include all the bibitems
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
本模板还添加了 \lstinline{cite=numbers} 和 \lstinline{cite=authoryear} 两个参考文献选项,用于设置参考文献格式的设置,默认为 \lstinline{numbers}。据我们所知,理工科类一般使用 \lstinline{numbers},而文科类使用 \lstinline{authoryear} 比较多,所以我们将 \lstinline{numbers} 作为默认格式。如果需要改为 \lstinline{authoryear} ,可以使用
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[cite=authoryear]{elegantbook} %or
|
||||||
|
\documentclass[authoryear]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{添加序章}
|
||||||
|
|
||||||
|
如果你想在第一章前面添序章,不改变原本章节序号,可以在第一章内容前面使用
|
||||||
|
\begin{lstlisting}
|
||||||
|
\chapter*{Introduction}
|
||||||
|
\addcontentsline{toc}{chapter}{Introduction}
|
||||||
|
\markboth{Introduction}{}
|
||||||
|
The content of introduction.
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{章节摘要}
|
||||||
|
模板新增了一个章节摘要环境(introduction),使用示例
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{introduction}
|
||||||
|
\item Definition of Theorem
|
||||||
|
\item Ask for help
|
||||||
|
\item Optimization Problem
|
||||||
|
\item Property of Cauchy Series
|
||||||
|
\item Angle of Corner
|
||||||
|
\end{introduction}
|
||||||
|
\end{lstlisting}
|
||||||
|
效果如下:
|
||||||
|
\begin{introduction}
|
||||||
|
\item Definition of Theorem
|
||||||
|
\item Ask for help
|
||||||
|
\item Optimization Problem
|
||||||
|
\item Property of Cauchy Series
|
||||||
|
\item Angle of Corner
|
||||||
|
\end{introduction}
|
||||||
|
|
||||||
|
环境的标题文字可以通过这个环境的可选参数进行修改,修改方法为:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{introduction}[Brief Introduction]
|
||||||
|
...
|
||||||
|
\end{introduction}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\section{章后习题}
|
||||||
|
前面我们介绍了例题和练习两个环境,这里我们再加一个,章后习题(\lstinline{problemset})环境,用于在每一章结尾,显示本章的练习。使用方法如下
|
||||||
|
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{problemset}
|
||||||
|
\item exercise 1
|
||||||
|
\item exercise 2
|
||||||
|
\item exercise 3
|
||||||
|
\end{problemset}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
效果如下:
|
||||||
|
\begin{problemset}
|
||||||
|
\item exercise 1
|
||||||
|
\item exercise 2
|
||||||
|
\item exercise 3
|
||||||
|
\end{problemset}
|
||||||
|
|
||||||
|
\begin{remark}
|
||||||
|
如果你想把 \lstinline{problemset} 环境的标题改为其他文字,你可以类似于 introduction 环境修改 problemset 的可选参数。
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
\chapter{ElegantBook 写作示例}
|
||||||
|
|
||||||
|
\begin{introduction}
|
||||||
|
\item 积分定义~\ref{def:int}
|
||||||
|
\item Fubini 定理~\ref{thm:fubi}
|
||||||
|
\item 最优性原理~\ref{pro:max}
|
||||||
|
\item 柯西列性质~\ref{property:cauchy}
|
||||||
|
\item 韦达定理
|
||||||
|
\end{introduction}
|
||||||
|
|
||||||
|
\section{Lebesgue 积分}
|
||||||
|
在前面各章做了必要的准备后,本章开始介绍新的积分。在 Lebesgue 测度理论的基础上建立了 Lebesgue 积分,其被积函数和积分域更一般,可以对有界函数和无界函数统一处理。正是由于 Lebesgue 积分的这些特点,使得 Lebesgue 积分比 Riemann 积分具有在更一般条件下的极限定理和累次积分交换积分顺序的定理,这使得 Lebesgue 积分不仅在理论上更完善,而且在计算上更灵活有效。
|
||||||
|
|
||||||
|
Lebesgue 积分有几种不同的定义方式。我们将采用逐步定义非负简单函数,非负可测函数和一般可测函数积分的方式。
|
||||||
|
|
||||||
|
由于现代数学的许多分支如概率论、泛函分析、调和分析等常常用到一般空间上的测度与积分理论,在本章最后一节将介绍一般的测度空间上的积分。
|
||||||
|
|
||||||
|
\subsection{积分的定义}
|
||||||
|
|
||||||
|
我们将通过三个步骤定义可测函数的积分。首先定义非负简单函数的积分。以下设 $E$ 是 $\mathcal{R}^n$ 中的可测集。
|
||||||
|
|
||||||
|
|
||||||
|
\begin{definition}{可积性}{int}
|
||||||
|
设 $ f(x)=\sum\limits_{i=1}^{k} a_i \chi_{A_i}(x)\oint_{a}^b\ointop_{a}^b\prod_{i=1}^n$ 是 $E$ 上的非负简单函数,其中 $\{A_1,A_2,\ldots,A_k\}$ 是 $E$ 上的一个可测分割,$a_1,a_2,\ldots,a_k$ 是非负实数。定义 $f$ 在 $E$ 上的积分为 $\int_{a}^b f(x)$
|
||||||
|
\begin{equation}
|
||||||
|
\label{inter}
|
||||||
|
\int_{E} f dx = \sum_{i=1}^k a_i m(A_i) \pi \alpha\beta\sigma\gamma\nu\xi\epsilon\varepsilon. \oint_{a}^b\ointop_{a}^b\prod_{i=1}^n
|
||||||
|
\end{equation}
|
||||||
|
一般情况下 $0 \leq \int_{E} f dx \leq \infty$。若 $\int_{E} f dx < \infty$,则称 $f$ 在 $E$ 上可积。
|
||||||
|
\end{definition}
|
||||||
|
|
||||||
|
一个自然的问题是,Lebesgue 积分与我们所熟悉的 Riemann 积分有什么联系和区别?在 4.4 在我们将详细讨论 Riemann 积分与 Lebesgue 积分的关系。这里只看一个简单的例子。设 $D(x)$ 是区间 $[0,1]$ 上的 Dirichlet 函数。即 $D(x)=\chi_{Q_0}(x)$,其中 $Q_0$ 表示 $[0,1]$ 中的有理数的全体。根据非负简单函数积分的定义,$D(x)$ 在 $[0,1]$ 上的 Lebesgue 积分为
|
||||||
|
\begin{equation}
|
||||||
|
\label{inter2}
|
||||||
|
\int_0^1 D(x)dx = \int_0^1 \chi_{Q_0} (x) dx = m(Q_0) = 0
|
||||||
|
\end{equation}
|
||||||
|
即 $D(x)$ 在 $[0,1]$ 上是 Lebesgue 可积的并且积分值为零。但 $D(x)$ 在 $[0,1]$ 上不是 Riemann 可积的。
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
有界变差函数是与单调函数有密切联系的一类函数。有界变差函数可以表示为两个单调递增函数之差。与单调函数一样,有界变差函数几乎处处可导。与单调函数不同,有界变差函数类对线性运算是封闭的,它们构成一线空间。练习题 \ref{exer:43} 是一个性质的证明。
|
||||||
|
|
||||||
|
\begin{exercise}\label{exer:43}
|
||||||
|
设 $f \notin\in L(\mathcal{R}^1)$,$g$ 是 $\mathcal{R}^1$ 上的有界可测函数。证明函数
|
||||||
|
\begin{equation}
|
||||||
|
\label{ex:1}
|
||||||
|
I(t) = \int_{\mathcal{R}^1} f(x+t)g(x)dx \quad t \in \mathcal{R}^1
|
||||||
|
\end{equation}
|
||||||
|
是 $\mathcal{R}^1$ 上的连续函数。
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{problem}
|
||||||
|
即 $D(x)$ 在 $[0,1]$ 上是 Lebesgue 可积的并且积分值为零。但 $D(x)$ 在 $[0,1]$ 上不是 Riemann 可积的。
|
||||||
|
\end{problem}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
即 $D(x)$ 在 $[0,1]$ 上是 Lebesgue 可积的并且积分值为零。但 $D(x)$ 在 $[0,1]$ 上不是 Riemann 可积的。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{theorem}{Fubini 定理}{fubi}
|
||||||
|
(1)若 $f(x,y)$ 是 $\mathcal{R}^p\times\mathcal{R}^q$ 上的非负可测函数,则对几乎处处的 $x\in \mathcal{R}^p$,$f(x,y)$ 作为 $y$ 的函数是 $\mathcal{R}^q$ 上的非负可测函数,$g(x)=\int_{\mathcal{R}^q}f(x,y) dy$ 是 $\mathcal{R}^p$ 上的非负可测函数。并且
|
||||||
|
\begin{equation}
|
||||||
|
\label{eq:461}
|
||||||
|
\int_{\mathcal{R}^p\times\mathcal{R}^q} f(x,y) dxdy=\int_{\mathcal{R}^p}\left(\int_{\mathcal{R}^q}f(x,y)dy\right)dx.
|
||||||
|
\end{equation}
|
||||||
|
(2)若 $f(x,y)$ 是 $\mathcal{R}^p\times\mathcal{R}^q$ 上的可积函数,则对几乎处处的 $x\in\mathcal{R}^p$,$f(x,y)$ 作为 $y$ 的函数是 $\mathcal{R}^q$ 上的可积函数,并且 $g(x)=\int_{\mathcal{R}^q}f(x,y) dy$ 是 $\mathcal{R}^p$ 上的可积函数。而且~\ref{eq:461} 成立。
|
||||||
|
\end{theorem}
|
||||||
|
|
||||||
|
\begin{note}
|
||||||
|
在本模板中,引理(lemma),推论(corollary)的样式和定理~\ref{thm:fubi} 的样式一致,包括颜色,仅仅只有计数器的设置不一样。
|
||||||
|
\end{note}
|
||||||
|
|
||||||
|
我们说一个实变或者复变量的实值或者复值函数是在区间上平方可积的,如果其绝对值的平方在该区间上的积分是有限的。所有在勒贝格积分意义下平方可积的可测函数构成一个希尔伯特空间,也就是所谓的 $L^2$ 空间,几乎处处相等的函数归为同一等价类。形式上,$L^2$ 是平方可积函数的空间和几乎处处为 0 的函数空间的商空间。
|
||||||
|
|
||||||
|
\begin{proposition}{最优性原理}{max}
|
||||||
|
如果 $u^*$ 在 $[s,T]$ 上为最优解,则 $u^*$ 在 $[s, T]$ 任意子区间都是最优解,假设区间为 $[t_0, t_1]$ 的最优解为 $u^*$ ,则 $u(t_0)=u^{*}(t_0)$,即初始条件必须还是在 $u^*$ 上。
|
||||||
|
\end{proposition}
|
||||||
|
|
||||||
|
我们知道最小二乘法可以用来处理一组数据,可以从一组测定的数据中寻求变量之间的依赖关系,这种函数关系称为经验公式。本课题将介绍最小二乘法的精确定义及如何寻求点与点之间近似成线性关系时的经验公式。假定实验测得变量之间的 $n$ 个数据,则在平面上,可以得到 $n$ 个点,这种图形称为 “散点图”,从图中可以粗略看出这些点大致散落在某直线近旁, 我们认为其近似为一线性函数,下面介绍求解步骤。
|
||||||
|
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.6\textwidth]{scatter.pdf}
|
||||||
|
\caption{散点图示例 $\hat{y}=a+bx$ \label{fig:scatter}}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
以最简单的一元线性模型来解释最小二乘法。什么是一元线性模型呢?监督学习中,如果预测的变量是离散的,我们称其为分类(如决策树,支持向量机等),如果预测的变量是连续的,我们称其为回归。回归分析中,如果只包括一个自变量和一个因变量,且二者的关系可用一条直线近似表示,这种回归分析称为一元线性回归分析。如果回归分析中包括两个或两个以上的自变量,且因变量和自变量之间是线性关系,则称为多元线性回归分析。对于二维空间线性是一条直线;对于三维空间线性是一个平面,对于多维空间线性是一个超平面。
|
||||||
|
|
||||||
|
\begin{property}\label{property:cauchy}
|
||||||
|
柯西列的性质
|
||||||
|
\begin{enumerate}
|
||||||
|
\item $\{x_k\}$ 是柯西列,则其子列 $\{x_k^i\}$ 也是柯西列。
|
||||||
|
\item $x_k\in \mathcal{R}^n$,$\rho(x,y)$ 是欧几里得空间,则柯西列收敛,$(\mathcal{R}^n,\rho)$ 空间是完备的。
|
||||||
|
\end{enumerate}
|
||||||
|
\end{property}
|
||||||
|
|
||||||
|
\begin{conclusion}
|
||||||
|
回归分析(regression analysis) 是确定两种或两种以上变量间相互依赖的定量关系的一种统计分析方法。运用十分广泛,回归分析按照涉及的变量的多少,分为一元回归和多元回归分析;按照因变量的多少,可分为简单回归分析和多重回归分析;按照自变量和因变量之间的关系类型,可分为线性回归分析和非线性回归分析。
|
||||||
|
\end{conclusion}
|
||||||
|
|
||||||
|
\begin{problemset}
|
||||||
|
\item 设 $A$ 为数域 $K$ 上的 $n$ 级矩阵。证明:如果 $K^n$ 中任意非零列向量都是 $A$ 的特征向量,则 $A$ 一定是数量矩阵。
|
||||||
|
\item 证明:不为零矩阵的幂零矩阵不能对角化。
|
||||||
|
\item 设 $A = (a_{ij})$ 是数域 $K$ 上的一个 $n$ 级上三角矩阵,证明:如果 $a_{11} = a_{22} = \cdots = a_{nn}$,并且至少有一个 $a_{kl} \not = 0 (k < l)$,则 $A$ 一定不能对角化。
|
||||||
|
\end{problemset}
|
||||||
|
|
||||||
|
\chapter{旁注}
|
||||||
|
在 3.08 版本,我们加入了旁注(边注)等设置以及 \lstinline{\elegantpar} 命令,不过目前处于测试阶段。如果你想整个文档都加入旁注,一般的方法是,重新设置旁注的大小。本模板加入了一个旁注选项 \lstinline{marginpar},如果加入旁注 \lstinline{marginpar=margintrue},则会减少版芯两边的宽度(减少至 1.5cm),如果不加入旁注 \lstinline{marginpar=marginfalse}(默认),则维持两边距离不变。旁注选项仅对 \lstinline{device=normal} 试用,pad 模式并不支持。
|
||||||
|
|
||||||
|
旁注命令可以使用 \LaTeX{} 自带的 \lstinline{\marginpar} 命令或者 \lstinline{marginnote} 宏包的 \lstinline{\marginnote} 命令,旁注的使用,请参考维基百科:\href{https://en.wikibooks.org/wiki/LaTeX/Footnotes_and_Margin_Notes#Margin_Notes}{旁注}或者 \LaTeX {}书籍。
|
||||||
|
|
||||||
|
本模板还添加了一个 \lstinline{\elegantpar} 命令,需要注意的是,由于这个命令使用了 TikZ 中的层叠效果(overlay),所以为了得到正确的旁注显示,你需要多次编译(3 次)。\lstinline{\elegantpar} 命令的效果如下。
|
||||||
|
|
||||||
|
%\setlength{\marginparwidth}{2.5cm}
|
||||||
|
Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod
|
||||||
|
tempor incididunt ut labore et \elegantpar{dolore magna aliqua}{This is Beautiful the elegantpar Style for English Text}. Ut enim ad minim veniam,
|
||||||
|
quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo
|
||||||
|
consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse
|
||||||
|
cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non
|
||||||
|
proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
|
||||||
|
|
||||||
|
\begin{equation}
|
||||||
|
a^{2}+b^{2} = \elegantpar{c^{2}}{勾股定理
|
||||||
|
\begin{equation*}a^2+b^2=c^2\end{equation*}}
|
||||||
|
\end{equation}
|
||||||
|
|
||||||
|
若夫日出而林霏开,云归而岩穴暝,晦明变化者,山间之朝暮也。野芳发而幽香,佳木秀而繁阴,风霜高洁,水落而石出者,山间之四时也。朝而往,暮而归,四时之景不同,而乐亦无穷也。
|
||||||
|
|
||||||
|
至于负者歌于途,行者休于树,前者呼,后者应,\elegantpar{伛偻提携}{指搀扶着走的小孩子},往来而不绝者,滁人游也。临溪而渔,溪深而鱼肥。酿泉为酒,泉香而酒洌;山肴野蔌,杂然而前陈者,太守宴也。宴酣之乐,非丝非竹,射者中,弈者胜,觥筹交错,起坐而喧哗者,众宾欢也。苍颜白发,颓然乎其间者,太守醉也。$2\elegantpar{x}{方程的解与数学符号的选择无关}=3$。
|
||||||
|
|
||||||
|
\chapter{常见问题集}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
有没有办法章节用“第一章,第一节,(一)”这种?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
你可以修改模板中对于章节的设置,利用 ctex 宏集的 \lstinline{\zhnumber} 命令可以把计数器的数字形式转为中文。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
3.07 版本的 cls 的 natbib 加了numbers 编译完了没变化,群主设置了不可更改了?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
3.07 中在 \lstinline{gbt7714} 宏包使用时,加入了 \lstinline{authoryear} 选项,这个使得 \lstinline{natbib} 设置了 \lstinline{numbers} 也无法生效。3.08 版本中,模板增加了 \lstinline{numbers} 和 \lstinline{authoryear} 文献选项,你可以参考前文设置说明。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
大佬,我想把正文字体改为亮色,背景色改为黑灰色。
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
页面颜色可以使用 \lstinline{\pagecolor} 命令设置,文本命令可以参考\href{https://tex.stackexchange.com/questions/278544/xcolor-what-is-the-equivalent-of-default-text-color}{这里}进行设置。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
\lstinline{! LaTeX Error: Unknown option `scheme=plain' for package `ctex'.}
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
你用的 C\TeX{} 套装吧?这个里面的 \lstinline{ctex} 宏包已经是已经是 10 年前的了,与本模板使用的 \lstinline{ctex} 宏集有很大区别。不建议 C\TeX{} 套装了,请卸载并安装 \TeX{} Live 2019。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
我该使用什么版本?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
请务必使用\href{https://github.com/ElegantLaTeX/ElegantBook/releases}{最新正式发行版},发行版间不定期可能会有更新(修复 bug 或者改进之类),如果你在使用过程中没有遇到问题,不需要每次更新\href{https://github.com/ElegantLaTeX/ElegantBook/archive/master.zip}{最新版},但是在发行版更新之后,请尽可能使用最新版(发行版)!最新发行版可以在 Github 或者 \TeX{} Live 2019 内获取。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
我该使用什么编辑器?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
你可以使用 \TeX{} Live 2019 自带的编辑器 \TeX{}works 或者使用 \TeX{}studio,\TeX works 的自动补全,你可以参考我们的总结 \href{https://github.com/EthanDeng/texworks-autocomplete}{\TeX works 自动补全}。推荐使用 \TeX{} Live 2019 + \TeX Studio。我自己用 VS Code 和 Sublime Text,相关的配置说明,请参考 \href{https://github.com/EthanDeng/vscode-latex}{\LaTeX{} 编译环境配置:Visual Studio Code 配置简介} 和 \href{https://github.com/EthanDeng/sublime-text-latex}{Sublime Text 搭建 \LaTeX{} 编写环境}。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
您好,我们想用您的 ElegantBook 模板写一本书。关于机器学习的教材,希望获得您的授权,谢谢您的宝贵时间。
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
模板的使用修改都是自由的,你们声明模板来源以及模板地址(github 地址)即可,其他未尽事宜按照开源协议 LPPL-1.3c。做好之后,如果方便的话,可以给我们一个链接,我把你们的教材放在 ElegantLaTeX 用户作品集里。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
我想要原来的封面!
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
我们计划在未来版本加入封面选择,让用户可以选择旧版封面。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
我想修改中文字体!
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
首先,我们{\heiti 强烈建议你不要去修改字体}!如果你一定坚持修改字体,请在 \lstinline{newtxtext} 宏包加载前加入中文字体设置(\lstinline{xeCJK} 宏包)。如果你选择自定义字体,请设置好 \lstinline{\kaishu},\lstinline{\heiti} 等命令,否则会报错。如果你看不懂我现在说的,请停止你的字体自定义行为。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
请问交叉引用是什么?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
本群和本模板适合有一定 \LaTeX{} 基础的用户使用,新手请先学习 \LaTeX{} 的基础,理解各种概念,否则你将寸步难行。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
定义等环境中无法使用加粗命令么?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
是这样的,默认中文并没加粗命令,如果你想在定义等环境中使用加粗命令,请使用 \lstinline{\heiti} 等字体命令,而不要使用 \lstinline{\textbf}。或者,你可以将 \lstinline{\textbf} 重新定义为 \lstinline{\heiti}。英文模式不存在这个问题。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
代码高亮环境能用其他语言吗?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
可以的,ElegantBook 模板用的是 \lstinline{listings} 宏包,你可以在环境之后加上语言,全局语言修改请使用 \lstinline{\lstset} 命令,更多信息请参考宏包文档。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
群主,什么时候出 Beamer 的模板(主题),ElegantSlide 或者 ElegantBeamer?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
这个问题问的人比较多,我这里给个明确的答案。由于 Beamer 中有一个很优秀的主题 \href{https://github.com/matze/mtheme}{Metropolis}。我觉得在我们找到非常好的创意之前不会发布正式的 Beamer 主题,如果你非常希望得到 Elegant\LaTeX{} “官方”的主题,请在用户 QQ 群内下载我们测试主题 PreElegantSlide(未来不一定按照这个制作)。正式版制作计划在 2020 年之后。
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{问题}
|
||||||
|
群主好棒,想嫁!
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
我取向正常!
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\nocite{*}
|
||||||
|
|
||||||
|
\bibliography{reference}
|
||||||
|
|
||||||
|
\appendix
|
||||||
|
\chapter{基本数学工具}
|
||||||
|
|
||||||
|
本附录包括了计量经济学中用到的一些基本数学,我们扼要论述了求和算子的各种性质,研究了线性和某些非线性方程的性质,并复习了比例和百分数。我们还介绍了一些在应用计量经济学中常见的特殊函数,包括二次函数和自然对数,前 4 节只要求基本的代数技巧,第 5 节则对微分学进行了简要回顾;虽然要理解本书的大部分内容,微积分并非必需,但在一些章末附录和第 3 篇某些高深专题中,我们还是用到了微积分。
|
||||||
|
|
||||||
|
\section{求和算子与描述统计量}
|
||||||
|
|
||||||
|
\textbf{求和算子} 是用以表达多个数求和运算的一个缩略符号,它在统计学和计量经济学分析中扮演着重要作用。如果 $\{x_i: i=1, 2, \ldots, n\}$ 表示 $n$ 个数的一个序列,那么我们就把这 $n$ 个数的和写为:
|
||||||
|
|
||||||
|
\begin{equation}
|
||||||
|
\sum_{i=1}^n x_i \equiv x_1 + x_2 +\cdots + x_n
|
||||||
|
\end{equation}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\chapter{最小示例}
|
||||||
|
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[lang=cn,11pt]{elegantbook}
|
||||||
|
% title info
|
||||||
|
\title{Title}
|
||||||
|
\subtitle{Subtitle is here}
|
||||||
|
% bio info
|
||||||
|
\author{Your Name}
|
||||||
|
\institute{XXX University}
|
||||||
|
\date{\today}
|
||||||
|
% extra info
|
||||||
|
\version{1.00}
|
||||||
|
\extrainfo{Victory won\rq t come to us unless we go to it. --- M. Moore}
|
||||||
|
\logo{logo.png}
|
||||||
|
\cover{cover.jpg}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\maketitle
|
||||||
|
\tableofcontents
|
||||||
|
\mainmatter
|
||||||
|
\hypersetup{pageanchor=true}
|
||||||
|
% add preface chapter here if needed
|
||||||
|
\chapter{Example Chapter Title}
|
||||||
|
The content of chapter one.
|
||||||
|
|
||||||
|
\bibliography{reference}
|
||||||
|
|
||||||
|
\end{document}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\end{document}
|
||||||
642
elegantbook-en.tex
Normal file
@@ -0,0 +1,642 @@
|
|||||||
|
\documentclass[fancy,blue,11pt]{elegantbook}
|
||||||
|
|
||||||
|
\title{An Elegant \LaTeX{} Template for Books}
|
||||||
|
\subtitle{Classic Elegant\LaTeX{} Template}
|
||||||
|
|
||||||
|
\author{Ethan Deng \& Liam Huang}
|
||||||
|
\institute{Elegant\LaTeX{} Program}
|
||||||
|
\date{\today}
|
||||||
|
\version{3.08}
|
||||||
|
|
||||||
|
\extrainfo{Victory won\rq t come to us unless we go to it. }
|
||||||
|
|
||||||
|
\logo{logo.png}
|
||||||
|
\cover{cover.jpg}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\maketitle
|
||||||
|
\tableofcontents
|
||||||
|
\clearpage
|
||||||
|
\thispagestyle{empty}
|
||||||
|
\mainmatter
|
||||||
|
\hypersetup{pageanchor=true}
|
||||||
|
|
||||||
|
\chapter{Elegant\LaTeX{} Templates}
|
||||||
|
Elegant\LaTeX{} Program developers are intended to provide you beautiful, elegant, user-friendly templates. Currently, the Elegant\LaTeX{} is composed of \href{https://github.com/ElegantLaTeX/ElegantNote}{ElegantNote}, \href{https://github.com/ElegantLaTeX/ElegantBook}{ElegantBook}, \href{https://github.com/ElegantLaTeX/ElegantPaper}{ElegantPaper}, designed for typesetting notes, books, and working papers respectively. Latest releases are strongly recommended! This guide is aimed at briefly introducing the 101 of this template. For any other question, suggestion or comment, feel free to contact us on GitHub \href{https://github.com/ElegantLaTeX/ElegantBook/issues}{issues} or email us at \email{elegantlatex2e@gmail.com}.
|
||||||
|
|
||||||
|
Contact Infos:
|
||||||
|
\begin{itemize}
|
||||||
|
\item Homepage: \href{https://elegantlatex.org/}{https://elegantlatex.org/}
|
||||||
|
\item Github: \href{https://github.com/ElegantLaTeX/}{https://github.com/ElegantLaTeX/}
|
||||||
|
\item CTAN: \href{https://ctan.org/pkg/elegantbook}{https://ctan.org/pkg/elegantbook}
|
||||||
|
\item Wiki: \href{https://github.com/ElegantLaTeX/ElegantBook/wiki}{https://github.com/ElegantLaTeX/ElegantBook/wiki}
|
||||||
|
\item Download: \href{https://github.com/ElegantLaTeX/ElegantBook/releases}{release}, \href{https://github.com/ElegantLaTeX/ElegantBook/archive/master.zip}{latest version}
|
||||||
|
\item Weibo: ElegantLaTeX
|
||||||
|
\item Wechat: ElegantLaTeX
|
||||||
|
\item QQ: 692108391
|
||||||
|
\item Email: \email{elegantlatex2e@gmail.com}
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
|
||||||
|
\section{ElegantBook Updates}
|
||||||
|
What\rq s new in this version:
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Fix \lstinline|\part|.
|
||||||
|
\item Introduce pad mode.
|
||||||
|
\item Support mtpro2 package.
|
||||||
|
\item Revise default format of references to numbers.
|
||||||
|
\item Include environment for chapter introduction.
|
||||||
|
\item Include environment for problem set.
|
||||||
|
\item Include margin note using \lstinline{\elegantpar} (beta).
|
||||||
|
\item Reduce line spacing for equations.
|
||||||
|
\item Turn \lstinline{\equote} into \lstinline{\extrainfo}, with multi-line display.
|
||||||
|
\item Polish documentation by including acknowledgement, etc.
|
||||||
|
\end{enumerate}
|
||||||
|
|
||||||
|
\begin{note}
|
||||||
|
Since the latest version has witnessed huge reconstruction (with cover change in version 3.06), 3.x is backward incompatible with 2.x. For those who would like to convert documents compiled with earlier version (3.06 or 2.x) to be compatible with latest version, please refer to \href{https://github.com/ElegantLaTeX/ElegantBook/wiki/convert}{conversion}. Questions about version 2.x will not be answered henceforth.
|
||||||
|
\end{note}
|
||||||
|
|
||||||
|
\section{Installation and Update}
|
||||||
|
Both portable version and installation package are available for this template.
|
||||||
|
|
||||||
|
For portable version, simply download lastest ElegantBook-master from Github or CTAN (to be more accurate, download \lstinline{elegantbook.cls}) and save the file(s) under your working directory. This way of installation is simple and convenient, but you have to manually update \lstinline{cls} now and then.
|
||||||
|
|
||||||
|
If you are a \TeX{} Live 2019 user, using the \lstinline{tlshell}\footnote{namely, \TeX{} Live Manager} of \TeX{} Live 2019 direct installation package is strongly recommended. Simply search and open \lstinline{tlshell}, click on \lstinline{File -> Load Default Repository} or customize repository by \lstinline{Options}. Wait till the repository loads successfully, search \lstinline{elegantbook} by name, installation and update is just a click away.
|
||||||
|
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.7\textwidth]{tlshell.png}
|
||||||
|
\caption{Use \TeX{} Live Shell to Install ElegantBook Template}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
If you are a \TeX{} Live 2018 user and would like to update to \TeX{} Live 2019, the official solution is to uninstall 2018. If you want to save the bother of uninstallation and installation, please copy \lstinline{elegantbook.cls} to the installation directory of \TeX{} Live 2018 (default: \lstinline|C:\texlive\2018\texmf-dist\tex\latex\elegantbook| ), run \lstinline{texhash} in cmd.
|
||||||
|
|
||||||
|
Excuse me? You are a C\TeX{} user? Sorry, this template is incompatible with C\TeX{}.
|
||||||
|
|
||||||
|
For more details about the installation and usage of \TeX{} Live 2019, the compatibility of C\TeX{} and \TeX{} Live, installation directory, etc., please refer to OG (Official Guide).
|
||||||
|
|
||||||
|
\section{Online Usage of Templates}
|
||||||
|
Considering the online usage of the templates, all the templates are available on Overleaf. Those who enjoy smooth network may feel free to use the templates without \TeX{} Live and to visit your documents anywhere anytime. Search \lstinline{elegantlatex} on Overleaf or visit \href{https://www.overleaf.com/latex/templates?addsearch=elegantlatex}{search result}, choose the one you prefer and save it to your account, then you can edit yourself or corporate with others if you like. For more infomation about Overleaf, please refer to Overleaf OG.
|
||||||
|
|
||||||
|
\section{User\rq s Selected Works Plan}
|
||||||
|
Eight years have passed since the found of Elegant\LaTeX{} Program. It\rq s an honor that our templates are preferred by a lot of users. Hence, in order to promote more interactions among our users and know more about what you need, we are planning to provide a platform to display selected works of our users on Github or our homepage. If you want to show us your work(s), contact us via Email or other ways. Or if you have upload your work(s) on Github or Gitee etc., share the URL(s) with us.
|
||||||
|
|
||||||
|
\section{About Pull Request}
|
||||||
|
For some reasons, pull request is unacceptable since May 20, 2019. For those who want to help revise the templates, submit issues or clone to your own repository to modify under the constriction of LPPL-1.3c.
|
||||||
|
|
||||||
|
\section{Recruit Support Members}
|
||||||
|
Recruit Support Members for Elegant\LaTeX{} to translate template OGs(Chinese -> English), maintain wiki entries using MarkDown, update Wechat articles. No deadline for this recruitment.
|
||||||
|
|
||||||
|
Thank our best support members for their selfless work!
|
||||||
|
\begin{itemize}
|
||||||
|
\item OG Translator: \href{https://github.com/peggy2006xzyz}{YPY};
|
||||||
|
\item Wiki Maintainer: \href{https://github.com/izinngo}{Ingo Zinngo};
|
||||||
|
\item QQ Group Manager: \href{https://github.com/sikouhjw}{Sikouhjw}.
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\section{Acknowledgement}
|
||||||
|
The number of stars on Github for ElegantBook reached 100 on May 20, 2019 and was included in the \href{https://github.com/trending/tex?since=daily}{Trending} under the \TeX{} catagory. It is a remarkable moment for Elegant\LaTeX{} !!!
|
||||||
|
|
||||||
|
Thank China\TeX{} and \href{http://www.latexstudio.net/}{\LaTeX{} studio} for their promotion. \LaTeX{} studio offers tons of valuable posts and templates for discovery. It is the most comprehensive website on \LaTeX{} in China.
|
||||||
|
|
||||||
|
Thank muzimuzhi for the revision of the template.
|
||||||
|
|
||||||
|
If you like our template, star on Github.
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=\textwidth]{star.png}
|
||||||
|
\caption{Twinkle, Twinkle, Little Star}
|
||||||
|
\end{figure}
|
||||||
|
Recently some users have expressed their love for our templates and want to tip us. QR code for donation is now available.
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.5\textwidth]{donate.jpg}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
The explanation right of the tip usage belongs to Elegant\LaTeX{} with no supervision. Feel free to tip us. Those who donate more than 10 RMB will be recorded in the Donation List. Thank all the tippers!
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\centering
|
||||||
|
\caption{Donation List}
|
||||||
|
\begin{tabular}{cccc}
|
||||||
|
\toprule
|
||||||
|
Tipper & Amount & Date & Channel \\
|
||||||
|
\midrule
|
||||||
|
Lerh & 10 RMB & 2019/5/15 & Wechat \\
|
||||||
|
Yueguodipingxian & 10 RMB & 2019/5/15 & Wechat \\
|
||||||
|
Dapeng & 20 RMB & 2019/5/27 & Wechat\\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}%
|
||||||
|
\end{table}%
|
||||||
|
|
||||||
|
\chapter{ElegantBook Settings}
|
||||||
|
|
||||||
|
This template is based on the Standard \LaTeX{} book class, so the options of book class work as well. The default encoding is UTF-8 while \TeX{} Live is recommended. The test environment is Win10 + \TeX{} Live 2019.
|
||||||
|
|
||||||
|
|
||||||
|
\section{Languages}
|
||||||
|
We defined one option named \lstinline{lang} which has two alternative values, \lstinline{lang=en} (default) and \lstinline{lang=cn}. Different values will alter the captions of figure/table, abstract name, refname, etc. You can use this option as
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[en]{elegantbook}
|
||||||
|
\documentclass[lang=en]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\begin{remark}
|
||||||
|
Chinese Characters are acceptable whenever \lstinline{lang=en} or \lstinline{lang=cn}. If you would like to include Chinese characters under (\lstinline{lstlisting}) environment, please use \lstinline{XeLaTeX} to compile.
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
\section{Device Mode Option}
|
||||||
|
The option for device (\lstinline{device}) was originally used in ElegantNote, now we include this option in ElegantBook\footnote{Pictures have to be modified accordingly} as well. Activate iPad mode in the following way\footnote{Default size: normal, A4 paper}:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[pad]{elegantbook} %or
|
||||||
|
\documentclass[device=pad]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{Color Themes}
|
||||||
|
This template contains 5 color themes, i.e. \textcolor{structure1}{\lstinline{green}}\footnote{Original default theme.}, \textcolor{structure2}{\lstinline{cyan}}, \textcolor{structure3}{\lstinline{blue}}(default), \textcolor{structure4}{\lstinline{gray}}, \textcolor{structure5}{\lstinline{black}}. You can choose \lstinline{green} with
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[green]{elegantbook} %or
|
||||||
|
\documentclass[color=green]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\caption{ElegantBook Themes\label{tab:color thm}}
|
||||||
|
\centering
|
||||||
|
\begin{tabular}{ccccccc}
|
||||||
|
\toprule
|
||||||
|
& \textcolor{structure1}{green}
|
||||||
|
& \textcolor{structure2}{cyan}
|
||||||
|
& \textcolor{structure3}{blue}
|
||||||
|
& \textcolor{structure4}{gray}
|
||||||
|
& \textcolor{structure5}{black}
|
||||||
|
& Main Environments\\
|
||||||
|
\midrule
|
||||||
|
structure & \makecell{{\color{structure1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{structure5}\rule{1cm}{1cm}}}
|
||||||
|
& chapter section subsection \\
|
||||||
|
main & \makecell{{\color{main1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{main5}\rule{1cm}{1cm}}}
|
||||||
|
& definition exercise problem \\
|
||||||
|
second & \makecell{{\color{second1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{second5}\rule{1cm}{1cm}}}
|
||||||
|
& theorem lemma corollary\\
|
||||||
|
third & \makecell{{\color{third1}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third2}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third3}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third4}\rule{1cm}{1cm}}}
|
||||||
|
& \makecell{{\color{third5}\rule{1cm}{1cm}}}
|
||||||
|
& proposition\\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}
|
||||||
|
\end{table}
|
||||||
|
|
||||||
|
If you want to customize the colors, please select \lstinline{nocolor} or use \lstinline{color=none} and declare the main, second, and third colors in the preamble section as follows:
|
||||||
|
\begin{lstlisting}[frame=single]
|
||||||
|
\definecolor{structurecolor}{RGB}{60,113,183}
|
||||||
|
\definecolor{main}{RGB}{0,166,82}%
|
||||||
|
\definecolor{second}{RGB}{255,134,24}%
|
||||||
|
\definecolor{third}{RGB}{0,174,247}%
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\section{Chapter Title Display Styles}
|
||||||
|
|
||||||
|
This template contains 2 sets of \textit{title display styles},\lstinline{hang}(default) and \lstinline{display} style. For the former, chapter title is displayed on a single line (\lstinline{hang}). For the latter, chapter title is displayed on a double line (\lstinline{display}).In this guide, we use \lstinline{hang} . To change display style
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[hang]{elegantbook} %or
|
||||||
|
\documentclass[titlestyle=hang]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{Theorem Class Environments}
|
||||||
|
We defined two sets of theorem modes, \lstinline{simple} style and \lstinline{fancy} style (default). You may change to \lstinline{simple} mode by
|
||||||
|
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[simple]{elegantbook} %or
|
||||||
|
\documentclass[mode=simple]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
In this template, we defined four different theorem class environments
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item \textit{Theorem Environment}, including title and content, numbering corresponding to chapter. Three types depending on the format:
|
||||||
|
\begin{itemize}
|
||||||
|
\item \textcolor{main}{\textbf{definition}} environment, the color is \textcolor{main}{main};
|
||||||
|
\item \textcolor{second}{\textbf{theorem, lemma, corollary}} environment, the color is \textcolor{second} {second};
|
||||||
|
\item \textcolor{third}{\textbf{proposition}} environment, the color is \textcolor{third}{third}.
|
||||||
|
\end{itemize}
|
||||||
|
\item \textit{Example Environments}, including \textbf{example, exercise, problem} environment, auto-numbering corresponding to chapter.
|
||||||
|
\item \textit{Proof Environment}, including \textbf{proof, note} environment containing introductory symbol (\textbf{note} environment) or ending symbol (\textbf{proof} environment).
|
||||||
|
\item \textit{Conclusion Environments}, including \textbf{conclusion, assumption, property, remark, solution}\footnote{We also define an option \lstinline{result}, which can hide the \lstinline{solution} and \lstinline{proof} environments. You can switch between \lstinline{result=answer} and \lstinline{result=noanswer}} environment, all of which begin with boldfaced words, with format consistent with normal paragraphs.
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\subsection{Theorem Class Environments}
|
||||||
|
Since the template uses the \lstinline{tcolorbox} package to customize the theorem class environments, it is slightly different from the normal theorem environments. The usage is as follows:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{theorem}{<theorem name>}{<label>}
|
||||||
|
The content of theorem.
|
||||||
|
\end{theorem}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
The first parameter \lstinline{<theorem name>} represents the name of the theorem, and the second parameter \lstinline{label} represents the label used in cross-reference with \verb|ref{thm:label}|. Note that cross-references must be prefixed with \lstinline{thm:}.
|
||||||
|
|
||||||
|
Other theorem class environments with the same usage includes:
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\centering
|
||||||
|
\caption{Theorem Class Environments}
|
||||||
|
\begin{tabular}{llll}
|
||||||
|
\toprule
|
||||||
|
Environment & Label text & Prefix & Cross-reference \\
|
||||||
|
\midrule
|
||||||
|
definition & label & def & \lstinline|\ref{def:label}| \\
|
||||||
|
theorem & label & thm & \lstinline|\ref{thm:label}| \\
|
||||||
|
lemma & label & lem & \lstinline|\ref{lem:label}| \\
|
||||||
|
corrlary & label & cor & \lstinline|\ref{cor:label}| \\
|
||||||
|
proposition & label & pro & \lstinline|\ref{pro:label}| \\
|
||||||
|
\bottomrule
|
||||||
|
\end{tabular}%
|
||||||
|
\label{tab:theorem-class}%
|
||||||
|
\end{table}%
|
||||||
|
|
||||||
|
|
||||||
|
\subsection{Other Customized Environments}
|
||||||
|
The other three math environments can be called directly since there are no additional option for them, e.g. \lstinline{example}:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{example}
|
||||||
|
This is the content of example environment.
|
||||||
|
\end{example}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
The effect is as follows:
|
||||||
|
|
||||||
|
\begin{example}
|
||||||
|
This is the content of example environment.
|
||||||
|
\end{example}
|
||||||
|
|
||||||
|
These are all similar environments with slight differences lies in:
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item Example, exercise, problem environments number within chapter;
|
||||||
|
\item Note begins with introductory symbol and proof ends with ending symbol;
|
||||||
|
\item Conclusion environment and so on are normal paragraph environments with boldfaced introductory words.
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\section{Base Hide Option}
|
||||||
|
Hiding the end-of-chapter base is optional, simply type in:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[hide]{elegantbook} %or
|
||||||
|
\documentclass[base=hide]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\section{Cover and Logo}
|
||||||
|
|
||||||
|
The cover image used in this template is from \href{https://pixabay.com/en/tea-time-poetry-coffee-reading-3240766/}{pixabay.com}\footnote{Thank China\TeX{} for providing free image source, \href{https://www.pexels.com/}{pexels.com} is strongly recommended.}. The image is completely free and can be used under any circumstance. The cover image size is $1280 \times 1024$. If you would like to change the cover, please crop it according to the size of the cover picture strictly.One free online image clipping site: \href{https://www.befunky.com/create/crop-photo/}{befunky.com}.
|
||||||
|
|
||||||
|
Aspect ratio of the logo is 1:1 in this guide, i.e. a square picture. To replace the logo, do remember to choose the appropriate picture.
|
||||||
|
|
||||||
|
\section{List Environments}
|
||||||
|
This template uses \lstinline{tikz} to customize \lstinline{itemize} and \lstinline{enumerate} environments, with \lstinline{itemize} environment customized to the third depth and \lstinline{enumerate} environment customized to fourth depth. The effect is as follows\\[2ex]
|
||||||
|
\begin{minipage}[b]{0.49\textwidth}
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nesti;
|
||||||
|
\item second item of nesti;
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nestii;
|
||||||
|
\item second item of nestii;
|
||||||
|
\begin{itemize}
|
||||||
|
\item first item of nestiii;
|
||||||
|
\item second item of nestiii.
|
||||||
|
\end{itemize}
|
||||||
|
\end{itemize}
|
||||||
|
\end{itemize}
|
||||||
|
\end{minipage}
|
||||||
|
\begin{minipage}[b]{0.49\textwidth}
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nesti;
|
||||||
|
\item second item of nesti;
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nestii;
|
||||||
|
\item second item of nestii;
|
||||||
|
\begin{enumerate}
|
||||||
|
\item first item of nestiii;
|
||||||
|
\item second item of nestiii.
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{minipage}
|
||||||
|
|
||||||
|
\section{Bibliography}
|
||||||
|
|
||||||
|
This template uses \hologo{BibTeX} to generate the bibliography, the default bibliography style is \lstinline{aer}. Let's take a glance at the citation effect. ~\cite{en1} use data from a major peer-to-peer lending marketplace in China to study whether female and male investors evaluate loan performance differently.
|
||||||
|
|
||||||
|
If you want to use \hologo{BibTeX}, you must create a file named \lstinline{reference.bib}, add bib items (from Google Scholar, Mendeley, EndNote, and etc.) to \lstinline{reference.bib} file, then cite the bibkey in the \lstinline{tex} file. The Bib\TeX{} will automatically generate the bibliography for the reference you cited. If you want to add some noncited reference to the bibliography, you can use
|
||||||
|
\begin{lstlisting}[frame=single]
|
||||||
|
\nocite{EINAV2010,Havrylchyk2018} %or include some bibitems
|
||||||
|
\nocite{*} %include all the bibitems
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
Two more options \lstinline{cite=numbers} and \lstinline{cite=authoryear} are available in this new version, with the default setting as \lstinline{numbers} since those major in science and technology use \lstinline{numbers} more often. For those who major in liberal arts want to use \lstinline{authoryear}, please type in:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\documentclass[cite=authoryear]{elegantbook} %or
|
||||||
|
\documentclass[authoryear]{elegantbook}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{Preface}
|
||||||
|
|
||||||
|
If you want to add a preface before the first chapter with the number of chapter unchanged, please add the preface in the following way:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\chapter*{Preface}
|
||||||
|
\addcontentsline{toc}{chapter}{Preface}
|
||||||
|
\markboth{Preface}{}
|
||||||
|
The content of Preface.
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{Introduction Environment}
|
||||||
|
We create a introduction environment to display the structure of chapter. The basic useage is as follows
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{introduction}
|
||||||
|
\item Definition of Theorem
|
||||||
|
\item Ask for help
|
||||||
|
\item Optimization Problem
|
||||||
|
\item Property of Cauchy Series
|
||||||
|
\item Angle of Corner
|
||||||
|
\end{introduction}
|
||||||
|
\end{lstlisting}
|
||||||
|
you will get:
|
||||||
|
\begin{introduction}
|
||||||
|
\item Definition of Theorem
|
||||||
|
\item Ask for help
|
||||||
|
\item Optimization Problem
|
||||||
|
\item Property of Cauchy Series
|
||||||
|
\item Angle of Corner
|
||||||
|
\end{introduction}
|
||||||
|
|
||||||
|
You can change the title of this environment by modifying the optional argument of this environment
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{introduction}[Brief Introduction]
|
||||||
|
...
|
||||||
|
\end{introduction}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
\section{Problem Set}
|
||||||
|
The environment \lstinline{problemset} is used at the end of each chapter to display corresponding exercises. Just type in the following sentences:
|
||||||
|
\begin{lstlisting}
|
||||||
|
\begin{problemset}
|
||||||
|
\item exercise 1
|
||||||
|
\item exercise 2
|
||||||
|
\item exercise 3
|
||||||
|
\end{problemset}
|
||||||
|
\end{lstlisting}
|
||||||
|
And you will get:
|
||||||
|
\begin{problemset}
|
||||||
|
\item exercise 1
|
||||||
|
\item exercise 2
|
||||||
|
\item exercise 3
|
||||||
|
\end{problemset}
|
||||||
|
\begin{remark}
|
||||||
|
If you want to customize the title of \lstinline{problemset}, please change the optional argument like introduction environment.
|
||||||
|
\end{remark}
|
||||||
|
|
||||||
|
|
||||||
|
\chapter{ElegantBook Writing Sample}
|
||||||
|
|
||||||
|
\begin{introduction}
|
||||||
|
\item Theorem Class Envrionments
|
||||||
|
\item Cross Reference
|
||||||
|
\item Math Environments
|
||||||
|
\item List Environments
|
||||||
|
\item Logo and Base
|
||||||
|
\item $a^2+b^2=c^2$
|
||||||
|
\end{introduction}
|
||||||
|
|
||||||
|
|
||||||
|
\lipsum[1]
|
||||||
|
% source: https://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/Theorems.html
|
||||||
|
|
||||||
|
\section{Writing Sample}
|
||||||
|
|
||||||
|
We will define the integral of a measurable function in three steps. First, we define the integral of a nonnegative simple function. Let $E$ be the measurable set in $\mathcal{R}^N$.
|
||||||
|
|
||||||
|
\begin{definition}{Left Coset}{}
|
||||||
|
Let $H$ be a subgroup of a group~$G$. A \emph{left coset} of $H$ in $G$ is a subset of $G$ that is of the form $xH$, where $x \in G$ and $xH = \{ xh : h \in H \}$. Similarly a \emph{right coset} of $H$ in $G$ is a subset of $G$ that is of the form $Hx$, where $Hx = \{ hx : h \in H \}$
|
||||||
|
\end{definition}
|
||||||
|
|
||||||
|
\begin{note}
|
||||||
|
Note that a subgroup~$H$ of a group $G$ is itself a left coset of $H$ in $G$.
|
||||||
|
\end{note}
|
||||||
|
|
||||||
|
\lipsum[2]
|
||||||
|
|
||||||
|
\begin{theorem}{Lagrange's Theorem}{}
|
||||||
|
Let $G$ be a finite group, and let $H$ be a subgroup of $G$. Then the order of $H$ divides the order of $G$.
|
||||||
|
\end{theorem}
|
||||||
|
|
||||||
|
\lipsum[3]
|
||||||
|
|
||||||
|
|
||||||
|
\begin{proposition}{Size of Left Coset}{}
|
||||||
|
Let $H$ be a finite subgroup of a group $G$. Then each left coset of $H$ in $G$ has the same number of elements as $H$.
|
||||||
|
\end{proposition}
|
||||||
|
|
||||||
|
\begin{proof}
|
||||||
|
Let $z$ be some element of $xH \cap yH$. Then $z = xa$ for some $a \in H$, and $z = yb$ for some $b \in H$. If $h$ is any element of $H$ then $ah \in H$ and $a^{-1}h \in H$, since $H$ is a subgroup of $G$. But $zh = x(ah)$ and $xh = z(a^{-1}h)$ for all $h \in H$. Therefore $zH \subset xH$ and $xH \subset zH$, and thus $xH = zH$. Similarly $yH = zH$, and thus $xH = yH$, as required.
|
||||||
|
\end{proof}
|
||||||
|
|
||||||
|
\begin{figure}[htbp]
|
||||||
|
\centering
|
||||||
|
\includegraphics[width=0.6\textwidth]{scatter.pdf}
|
||||||
|
\caption{Matplotlib: Scatter Plot Example\label{fig:scatter}}
|
||||||
|
\end{figure}
|
||||||
|
|
||||||
|
Regression analysis is a powerful statistical method that allows you to examine the relationship between two or more variables of interest. While there are many types of regression analysis, at their core they all examine the influence of one or more independent variables on a dependent variable. The process of performing a regression allows you to confidently determine which factors matter most, which factors can be ignored, and how these factors influence each other.
|
||||||
|
|
||||||
|
Let's continue using our application training example. In this case, we'd want to measure the historical levels of satisfaction with the events from the past three years or so, as well as any information possible in regards to the independent variables.
|
||||||
|
|
||||||
|
|
||||||
|
\begin{table}[htbp]
|
||||||
|
\small
|
||||||
|
\centering
|
||||||
|
\caption{Auto MPG and Price \label{tab:reg}}
|
||||||
|
\begin{tabular}{lcc}
|
||||||
|
\toprule
|
||||||
|
& (1) & (2) \\
|
||||||
|
\midrule
|
||||||
|
mpg & -238.90*** & -49.51 \\
|
||||||
|
& (53.08) & (86.16) \\
|
||||||
|
weight & & 1.75*** \\
|
||||||
|
& & (0.641) \\
|
||||||
|
constant & 11,253*** & 1,946 \\
|
||||||
|
& (1,171) & (3,597) \\
|
||||||
|
obs & 74 & 74 \\
|
||||||
|
$R^2$ & 0.220 & 0.293 \\
|
||||||
|
\bottomrule
|
||||||
|
\multicolumn{3}{l}{\scriptsize Standard errors in parentheses} \\
|
||||||
|
\multicolumn{3}{l}{\scriptsize *** p<0.01, ** p<0.05, * p<0.1} \\
|
||||||
|
\end{tabular}%
|
||||||
|
\end{table}%
|
||||||
|
|
||||||
|
\lipsum[1-2]
|
||||||
|
|
||||||
|
\begin{itemize}
|
||||||
|
\item Routing and resource discovery;
|
||||||
|
\begin{itemize}
|
||||||
|
\item Language Models
|
||||||
|
\item Vector Space Models
|
||||||
|
\end{itemize}
|
||||||
|
\item Resilient and scalable computer networks;
|
||||||
|
\item Distributed storage and search.
|
||||||
|
\end{itemize}
|
||||||
|
|
||||||
|
\begin{problemset}
|
||||||
|
\item Solve the equation $5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13$.
|
||||||
|
\item Find the distance between the points (-4 , -5) and (-1 , -1).
|
||||||
|
\item Find the slope of the line $5x - 5y = 7$.
|
||||||
|
\end{problemset}
|
||||||
|
|
||||||
|
\chapter{Margin Notes}
|
||||||
|
For version 3.08, we introduce margin note option and \lstinline{\elegantpar} (Beta). In this template, margin note option \lstinline{marginpar} is included. If \lstinline{marginpar=margintrue}, the width of both sides will reduce at least 1.5cm. If \lstinline{marginpar=marginfalse}, the width of sides will remain unchanged. Margin note option works under \lstinline{device=normal} only.
|
||||||
|
|
||||||
|
Margin note option can be activated using \lstinline{\marginpar} built in \LaTeX{} or \lstinline{\marginnote} command in \lstinline{marginnote}. For more information, refer to \href{https://en.wikibooks.org/wiki/LaTeX/Footnotes_and_Margin_Notes#Margin_Notes}{Margin Notes} or \LaTeX{} books.
|
||||||
|
|
||||||
|
\lstinline{\elegantpar} is introduced in this version. Note that TikZ overlay is used in this command, hence you have to compile three times to get the right display effect.
|
||||||
|
|
||||||
|
%\setlength{\marginparwidth}{2.5cm}
|
||||||
|
Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod
|
||||||
|
tempor incididunt ut labore et \elegantpar{dolore magna aliqua}{This is Beautiful the elegantpar Style for English Text}. Ut enim ad minim veniam,
|
||||||
|
quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo
|
||||||
|
consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse
|
||||||
|
cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non
|
||||||
|
proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
|
||||||
|
|
||||||
|
\begin{equation}
|
||||||
|
E = m\elegantpar{c^{2}}{
|
||||||
|
\begin{equation*}E=mc^2\end{equation*}}
|
||||||
|
\end{equation}
|
||||||
|
|
||||||
|
\chapter{FAQ}
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
I want to customize font and background color.
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
Please use \lstinline{\pagecolor} to change background color, refer to \href{https://tex.stackexchange.com/questions/278544/xcolor-what-is-the-equivalent-of-default-text-color}{this} to customize font.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
Which version should I choose?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
Please use \href{https://github.com/ElegantLaTeX/ElegantBook/releases}{Latest Release} via GitHub or \TeX{} Live 2019.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
Which editor should I choose?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
You can use \TeX{} Live 2019 built-in \TeX works or \TeX Studio. You may refer to \href{https://github.com/EthanDeng/texworks-autocomplete}{\TeX{}works autocomplete}. \TeX{} Live 2019 + \TeX{}studio is strongly recommended. I myself use VS Code and Sublime Text. Related configurations can be found at \href{https://github.com/EthanDeng/vscode-latex}{vscode-latex} and \href{https://github.com/EthanDeng/sublime-text-latex}{sublime-text-latex}.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
Hello, we want to use ElegantBook to write a book about machine learning and would like your authorization.
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
Feel free to use our templates by pointing out our copyright. For other issues, please refer to LPPL-1.3c. If you want to show us your work, share the URL with us afterwards.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
I would like to use the former cover!
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
Cover option is forthcoming.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
What is cross reference?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
This template is aimed at who are not a complete beginner for \LaTeX{}. Please learn more about \LaTeX{} before using this template.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{custom}{Question}
|
||||||
|
Is the language for code highlighting optional?
|
||||||
|
\end{custom}
|
||||||
|
|
||||||
|
\begin{solution}
|
||||||
|
Yes, \lstinline{listings} package is used in ElegantBook, hence language is optional. For global setting, use \lstinline{\lstset}. For more information, please refer to package documentations.
|
||||||
|
\end{solution}
|
||||||
|
|
||||||
|
|
||||||
|
\nocite{en1,en2,en3}
|
||||||
|
\bibliography{reference}
|
||||||
|
|
||||||
|
\appendix
|
||||||
|
\chapter{Mathematical Tools}
|
||||||
|
|
||||||
|
This appendix covers some of the basic mathematics used in econometrics. We briefly discuss the properties of summation operators, study the properties of linear and some nonlinear equations, and review the ratios and percentages. We also introduce some special functions that are common in econometrics applications, including quadratic functions and natural logarithms. The first four sections require only basic algebraic techniques. The fifth section briefly reviews differential Calculus Although Calculus is not necessary to understand much of this book, it is used in some of the end-of-chapter appendices and in some of the more advanced topics in part 3.
|
||||||
|
|
||||||
|
\section{Summation Operator and Description Statistics}
|
||||||
|
|
||||||
|
\textbf{Summation Operator} is an abbreviation used to express the summation of numbers, it plays an important role in statistics and econometrics analysis. If $\{x_i: i=1, 2, \ldots, n\}$ is a sequence of $n$ numbers, the summation of the $n$ numbers is:
|
||||||
|
|
||||||
|
\begin{equation}
|
||||||
|
\sum_{i=1}^n x_i \equiv x_1 + x_2 +\cdots + x_n
|
||||||
|
\end{equation}
|
||||||
|
|
||||||
|
\chapter{A Minimal Example}
|
||||||
|
|
||||||
|
\begin{lstlisting}[frame=single]
|
||||||
|
\documentclass{elegantbook}
|
||||||
|
% title info
|
||||||
|
\title{Title}
|
||||||
|
\subtitle{Subtitle is here}
|
||||||
|
% bio info
|
||||||
|
\author{Your Name}
|
||||||
|
\institute{XXX University}
|
||||||
|
\date{\today}
|
||||||
|
% extra info
|
||||||
|
\version{1.00}
|
||||||
|
\extrainfo{Victory won\rq t come to us unless we go to it. --- M. Moore}
|
||||||
|
\logo{logo.png}
|
||||||
|
\cover{cover.jpg}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\maketitle
|
||||||
|
\tableofcontents
|
||||||
|
\mainmatter
|
||||||
|
\hypersetup{pageanchor=true}
|
||||||
|
% add preface chapter here if needed
|
||||||
|
\chapter{Example Chapter Title}
|
||||||
|
The content of chapter one.
|
||||||
|
|
||||||
|
\bibliography{reference}
|
||||||
|
\end{document}
|
||||||
|
\end{lstlisting}
|
||||||
|
|
||||||
|
|
||||||
|
\end{document}
|
||||||
1167
elegantbook.cls
BIN
figure/cover.jpg
Normal file
|
After Width: | Height: | Size: 416 KiB |
BIN
figure/cover.pdf
BIN
figure/icon.png
|
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\documentclass{elegantbook}
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\author{ddswhu \& Liam Huang}
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\email{ddswhu@outlook.com}
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\zhtitle{优美的 \LaTeX{} 书籍}
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\zhend{模板}
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\entitle{Elegant\LaTeX{} Book}
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\enend{Template}
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\version{3.03}
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\myquote{Victory won\rq t come to us unless we go to it.}
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\logo{ElegantLaTeX_green.pdf}
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\cover{cover.pdf}
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%green color
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\definecolor{main1}{RGB}{0,120,2}
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\definecolor{second1}{RGB}{230,90,7}
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\definecolor{third1}{RGB}{0,160,152}
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%cyan color
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\definecolor{main2}{RGB}{0,175,152}
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\definecolor{second2}{RGB}{239,126,30}
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\definecolor{third2}{RGB}{120,8,13}
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%blue color
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\definecolor{main3}{RGB}{20,50,104}
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\definecolor{second3}{RGB}{180,50,131}
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\definecolor{third3}{RGB}{7,127,128}
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\usepackage{makecell}
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\usepackage{lipsum}
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\usepackage{texnames}
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\begin{document}
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\maketitle
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\tableofcontents
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\mainmatter
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\chapter{Elegant\LaTeX{} 系列模板介绍}
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值此版本发行之际,我们 Elegant\LaTeX{} 项目组向大家重新介绍一下我们的工作,我们致力于打造一系列美观、优雅、简便的模板方便用户使用。Elegant\LaTeX{} 系列模板目前由 ElegantNote,ElegantBook,ElegantPaper,ElegantBeamer 组成,分别用于排版笔记,书籍,工作论文和幻灯片讲稿。这些子项目的名词是一体的,请在使用这些名词的时候不要将其断开(如 Elegant Note 是不正确的写法)。并且,Elegant\LaTeX{} Book 指的即是 ElegantBook。
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请用户在作者的主页下载最新版本,下载地址:\href{https://ddswhu.me/resource/}{https://ddswhu.me/resource/}。本文将介绍本模板的一些设置内容以及基本使用方法。如果您在使用此模板,欢迎把您使用此模板制作的成品发一份给我们,谢谢!如果您有其他问题,建议或者意见,欢迎联系我:\mailto{ddswhu@outlook.com}。
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\section{ElegantBook 更新说明}
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在这几年间,我们收到了很多用户的反馈,主要的问题涉及到字体安装,编码支持,定理浮动,定理跨页,交叉引用等等。我们思前想后,原先让用户安装字体以追求视觉上的美观并不完美,用户陷入了巨大的麻烦,这违背了我们的模板初衷。因此我们在新版中删除了这部分,用户无需安装任何字体。让我们来看下此次 ElegantBook 模板 3.0 更新的主要内容有:
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\begin{enumerate}[noitemsep]
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\item 删除了自定义字体设置,改用 \texttt{ctex} 宏包用以支持中文。
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\item 使用 \texttt{tcolorbox} 宏包改写了原先的定理类环境,目前定理环境等均可以跨页。
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\item 重新命名了定理类环境的名称(theorem,definition,proposition 等)。
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\item 重新命名了颜色的名字(first,second,third)。
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\end{enumerate}
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\section{未来更新计划}
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\begin{enumerate}[noitemsep]
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\item 设计一个适合的 LOGO;
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\item 重新设计 base 图标;
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\item 重新设计一个好看的封面。
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\item 将基础模板改为英文模板,添加选项使其支持中文。
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\item 将最早的 ElegantNote 重新设计为简版发布。
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\item 添加一个简化风格(plain)的颜色主题。
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\end{enumerate}
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\chapter{ElegantBook 设置说明}
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\section{编译方式}
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本模板基于基础的 book 文类,所以 book 的选项对于本模板也是有效的。默认编码为 UTF-8,推荐使用 \TeX{} Live 编译。作者编写环境为 Win10(64bit) + \TeX{} Live 2018。由于使用的是 \texttt{ctex} 宏包,所以支持 \texttt{pdflatex} 以及 \texttt{xelatex} 编译。
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\section{选项设置}
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本文特殊选项设置共有 2 类,分为 {\color{main}主题颜色}设置 以及 {\color{main}章标题显示风格}设置。
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第 1 类为{\color{main}主题颜色}设置,内置 3 组颜色主题,分别为 \verb|green|(默认)、\verb|cyan|、\verb|blue|,另外还有一个自定义的选项 \verb|nocolor|。调用颜色主题 \verb|green| 的方法为 \\
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\verb|\documentclass[green]{elegantbook}| 或者 \verb|\documentclass[color=green]{elegantbook}|。需要改变颜色的话请选择 \verb|nocolor| 选项或者使用 \verb|color=none|,然后在导言区定义 main、second、third 颜色,具体的方法如下:
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\begin{verbatim}
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\definecolor{main}{RGB}{70,70,70} %定义 main 颜色值
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\definecolor{second}{RGB}{115,45,2} %定义 second 颜色值
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\definecolor{third}{RGB}{0,80,80} %定义 third 颜色值
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\end{verbatim}
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\begin{table}[htp]
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\caption{ElegantBook 模板中的三套颜色主题\label{tab:color thm}}
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\centering
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\begin{tabular}{ccccc}
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\toprule
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& green & cyan & blue & 主要使用的环境\\
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\midrule
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main & \makecell{{\color{main1}\rule{1cm}{1cm}}}& \makecell{{\color{main2}\rule{1cm}{1cm}}}&\makecell{ {\color{main3}\rule{1cm}{1cm}}}& definition \\
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second &\makecell{ {\color{second1}\rule{1cm}{1cm}}}& \makecell{{\color{second2}\rule{1cm}{1cm}}}&\makecell{ {\color{second3}\rule{1cm}{1cm}}}&theorem \ lemma \ corollary\\
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third &\makecell{ {\color{third1}\rule{1cm}{1cm}}}& \makecell{{\color{third2}\rule{1cm}{1cm}}}&\makecell{ {\color{third3}\rule{1cm}{1cm}}}&proposition\\
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\bottomrule
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\end{tabular}
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\end{table}
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第 2 类为{\color{main} 章标题显示风格},包含 \verb|hang|(默认)与 \verb|display| 两种风格,区别在于章标题单行显示(\verb|hang|)与双行显示(\verb|display|),本说明使用了 \verb|hang|。调用方式为 \verb|\documentclass[hang]{elegantbook}| 或者 \verb|\documentclass[titlestyle=hang]{elegantbook}|。
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综合起来,同时调用三个选项使用 \verb|\documentclass[color=X,titlestyle=Y]{elegantbook}|。其中 \verb|X| 可以选择 \verb|green|,\verb|cyan|,\verb|blue|,\verb|none|;\verb|Z| 可以选择 \verb|hang| 或者 \verb|display|。
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\section{数学环境简介}
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在我们这个模板中,定义了三大类环境
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\begin{enumerate}[noitemsep]
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\item 定理类环境,包含标题和内容两部分。根据格式的不同分为3种
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\begin{itemize}[noitemsep]
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\item {\color{main}\bfseries definition} 环境,含有一个可选项,编号以章节为单位,颜色为 {\color{main}main};
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\item {\color{second}\bfseries theorem、lemma、corollary} 环境,颜色为主颜色 {\color{second}second},编号均以章节为单位;
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\item {\color{third}\bfseries proposition} 环境,含有一个可选项,编号以章节为单位,颜色为 {\color{third}{third}}。
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\end{itemize}
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\item 示例类环境,有 \textbf{example、exercise} 环境,自动编号,编号以章节为单位。
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\item 证明类环境,有 \textbf{proof、note} 环境,特点是,有引导符或者结尾符,\textbf{note} 环境有引导符号,\textbf{proof} 环境有证明完毕标志。
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\item 结论类环境,有\textbf{conclusion、assumption、property,remark、solution} 环境,三者均以粗体的引导词为开头,和普通段落格式一致。
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\end{enumerate}
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\section{可编辑的字段}
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在模板中,可以编辑的字段分别为作者 \verb|\author|、邮箱 \verb|\email|、中文标题 \verb|\zhtitle|、中文标题结尾 \verb|\zhend|、英文标题\verb| \entitle|、英文标题结尾 \verb|\enend|、名言 \verb|\myquote|、版本号 \verb|\version|。并且,可以根据自己的喜好把封面水印效果的 \verb|cover.pdf| 替换掉,以及封面中用到的 \verb|logo.png|。
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\section{参考文献}
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此模板使用了 Bib\TeX{} 来生成参考文献,默认使用的文献样式 aer 样式。参考文献示例:~\cite{Chen2018} 使用了中国一个大型的 P2P 平台(人人贷)的数据来检验男性投资者和女性投资者在投资表现上是否有显著差异。你可以在谷歌学术,Mendeley,Endnote 中获得文献条目(bib item),然后把它们添加到 \verb|reference.bib| 中。在文中引用的时候,引用它们的键值(bib key)即可。注意需要在编译的过程中添加 Bib\TeX{} 编译。
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\chapter{ElegantBook 写作示例}
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\section{Lebesgue 积分}
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在前面各章做了必要的准备后,本章开始介绍新的积分。在 Lebesgue 测度理论的基础上建立了 Lebesgue 积分,其被积函数和积分域更一般,可以对有界函数和无界函数统一处理。正是由于 Lebesgue 积分的这些特点,使得 Lebesgue 积分比 Riemann 积分具有在更一般条件下的极限定理和累次积分交换积分顺序的定理,这使得 Lebesgue 积分不仅在理论上更完善,而且在计算上更灵活有效。
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Lebesgue 积分有几种不同的定义方式。我们将采用逐步定义非负简单函数,非负可测函数和一般可测函数积分的方式。
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由于现代数学的许多分支如概率论、泛函分析、调和分析等常常用到一般空间上的测度与积分理论,在本章最后一节将介绍一般的测度空间上的积分。
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\subsection{积分的定义}
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我们将通过三个步骤定义可测函数的积分。首先定义非负简单函数的积分。以下设 $E$ 是 $\mathcal{R}^n$ 中的可测集。
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\begin{definition}{可积性}{inter}
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设 $ f(x)=\sum\limits_{i=1}^{k} a_i \chi_{A_i}(x)$ 是 $E$ 上的非负简单函数,其中 $\{A_1,A_2,\ldots,A_k\}$ 是 $E$ 上的一个可测分割,$a_1,a_2,\ldots,a_k$ 是非负实数。定义 $f$ 在 $E$ 上的积分为
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\begin{equation}
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\label{inter}
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\int_{E} f dx = \sum_{i=1}^k a_i m(A_i).
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\end{equation}
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一般情况下 $0 \leq \int_{E} f dx \leq \infty$。若 $\int_{E} f dx < \infty$,则称 $f$ 在 $E$ 上可积。
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\end{definition}
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一个自然的问题是,Lebesgue 积分与我们所熟悉的 Riemann 积分有什么联系和区别?在 4.4 在我们将详细讨论 Riemann 积分与 Lebesgue 积分的关系。这里只看一个简单的例子。设 $D(x)$ 是区间 $[0,1]$ 上的 Dirichlet 函数。即 $D(x)=\chi_{Q_0}(x)$,其中 $Q_0$ 表示 $[0,1]$ 中的有理数的全体。根据非负简单函数积分的定义,$D(x)$ 在 $[0,1]$ 上的 Lebesgue 积分为
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\begin{equation}
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\label{inter2}
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\int_0^1 D(x)dx = \int_0^1 \chi_{Q_0} (x) dx = m(Q_0) = 0
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\end{equation}
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即 $D(x)$ 在 $[0,1]$ 上是 Lebesgue 可积的并且积分值为零。但 $D(x)$ 在 $[0,1]$ 上不是 Riemann 可积的。
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有界变差函数是与单调函数有密切联系的一类函数。有界变差函数可以表示为两个单调递增函数之差。与单调函数一样,有界变差函数几乎处处可导。与单调函数不同,有界变差函数类对线性运算是封闭的,它们构成一线空间。
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\begin{exercise}
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设 $f\in L(\mathcal{R}^1)$,$g$ 是 $\mathcal{R}^1$ 上的有界可测函数。证明函数
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\begin{equation}
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\label{ex:1}
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I(t) = \int_{\mathcal{R}^1} f(x+t)g(x)dx \quad t \in \mathcal{R}^1
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\end{equation}
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是 $\mathcal{R}^1$ 上的连续函数。
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\end{exercise}
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\begin{theorem}{Fubini 定理}{31}
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(1)若 $f(x,y)$ 是 $\mathcal{R}^p\times\mathcal{R}^q$ 上的非负可测函数,则对几乎处处的 $x\in \mathcal{R}^p$,$f(x,y)$ 作为 $y$ 的函数是 $\mathcal{R}^q$ 上的非负可测函数,$g(x)=\int_{\mathcal{R}^q}f(x,y) dy$ 是 $\mathcal{R}^p$ 上的非负可测函数。并且
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\begin{equation}
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\label{eq:461}
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\int_{\mathcal{R}^p\times\mathcal{R}^q} f(x,y) dxdy=\int_{\mathcal{R}^p}\left(\int_{\mathcal{R}^q}f(x,y)dy\right)dx.
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\end{equation}
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(2)若 $f(x,y)$ 是 $\mathcal{R}^p\times\mathcal{R}^q$ 上的可积函数,则对几乎处处的 $x\in\mathcal{R}^p$,$f(x,y)$ 作为 $y$ 的函数是 $\mathcal{R}^q$ 上的可积函数,并且 $g(x)=\int_{\mathcal{R}^q}f(x,y) dy$ 是 $\mathcal{R}^p$ 上的可积函数。而且~\ref{eq:461} 成立。
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\end{theorem}
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\begin{note}
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在本模板中,引理(lemma),推论(corollary )的样式和定理的样式一致,包括颜色,仅仅只有计数器的设置不一样。
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\end{note}
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我们说一个实变或者复变量的实值或者复值函数是在区间上平方可积的,如果其绝对值的平方在该区间上的积分是有限的。所有在勒贝格积分意义下平方可积的可测函数构成一个希尔伯特空间,也就是所谓的 $L^2$ 空间,几乎处处相等的函数归为同一等价类。形式上,$L^2$ 是平方可积函数的空间和几乎处处为 0 的函数空间的商空间。
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\begin{proposition}{最优性原理}{max}
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如果 $u^*$ 在 $[s,T]$ 上为最优解,则 $u^*$ 在 $[s,T]$ 任意子区间都是最优解,假设区间为 $[t_0,t_1]$ 的最优解为 $u^*$ ,则 $u(t_0)=u^{*}(t_0)$,即初始条件必须还是在 $u^*$ 上。
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\end{proposition}
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我们知道最小二乘法可以用来处理一组数据,可以从一组测定的数据中寻求变量之间的依赖关系,这种函数关系称为经验公式。本课题将介绍最小二乘法的精确定义及如何寻求点与点之间近似成线性关系时的经验公式。假定实验测得变量之间的 $n$ 个数据,则在平面上,可以得到 $n$ 个点,这种图形称为 “散点图”,从图中可以粗略看出这些点大致散落在某直线近旁, 我们认为其近似为一线性函数,下面介绍求解步骤。
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考虑函数 $y=a+bx$, 其中 $a$ 和 $b$ 是待定常数。如果离散点完全的在一直线上,可以认为变量之间的关系为一元函数。但一般说来,这些点不可能在同一直线上。但是它只能用直线来描述时,计算值与实际值会产生偏差。当然要求偏差越小越好,但由于偏差可正可负,因此不能认为总偏差时,拟合函数很好地反映了变量之间的关系,但是因为此时每个偏差的绝对值可能很大。为了改进这一缺陷,就考虑用平均值来代替。但是由于绝对值不易作解析运算,因此,进一步用残差平方和函数来度量总偏差。偏差的平方和最小可以保证每个偏差都不会很大。于是问题归结为确定拟合函数中的常数和使残差平方和函数最小。
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||||||
\begin{figure}[!htbp]
|
|
||||||
\centering
|
|
||||||
\includegraphics[width=0.6\textwidth]{mpg.png}
|
|
||||||
\caption{MPG 和 Weight 的关系图\label{fig:mpg}}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
以最简单的一元线性模型来解释最小二乘法。什么是一元线性模型呢?监督学习中,如果预测的变量是离散的,我们称其为分类(如决策树,支持向量机等),如果预测的变量是连续的,我们称其为回归。回归分析中,如果只包括一个自变量和一个因变量,且二者的关系可用一条直线近似表示,这种回归分析称为一元线性回归分析。如果回归分析中包括两个或两个以上的自变量,且因变量和自变量之间是线性关系,则称为多元线性回归分析。对于二维空间线性是一条直线;对于三维空间线性是一个平面,对于多维空间线性是一个超平面。
|
|
||||||
|
|
||||||
|
|
||||||
\begin{property}
|
|
||||||
柯西列的性质
|
|
||||||
\begin{enumerate}[noitemsep]
|
|
||||||
\item $\{x_k\}$ 是柯西列,则其子列 $\{x_k^i\}$ 也是柯西列。
|
|
||||||
\item $x_k\in \mathcal{R}^n$,$\rho(x,y)$ 是欧几里得空间,则柯西列是收敛的,$(\mathcal{R}^n,\rho)$ 空间是完备的。
|
|
||||||
\end{enumerate}
|
|
||||||
\end{property}
|
|
||||||
|
|
||||||
|
|
||||||
\begin{conclusion}
|
|
||||||
回归分析(regression analysis) 是确定两种或两种以上变量间相互依赖的定量关系的一种统计分析方法。运用十分广泛,回归分析按照涉及的变量的多少,分为一元回归和多元回归分析;按照因变量的多少,可分为简单回归分析和多重回归分析;按照自变量和因变量之间的关系类型,可分为线性回归分析和非线性回归分析。如果在回归分析中,只包括一个自变量和一个因变量,且二者的关系可用一条直线近似表示,这种回归分析称为一元线性回归分析。如果回归分析中包括两个或两个以上的自变量,且自变量之间存在线性相关,则称为多重线性回归分析。
|
|
||||||
\end{conclusion}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\nocite{EINAV2010,Havrylchyk2018}
|
|
||||||
|
|
||||||
\bibliographystyle{aer}
|
|
||||||
\bibliography{reference}
|
|
||||||
|
|
||||||
\appendix
|
|
||||||
\chapter{线性代数}
|
|
||||||
|
|
||||||
\section{矩阵的分块}
|
|
||||||
|
|
||||||
\begin{equation}
|
|
||||||
\begin{vmatrix}
|
|
||||||
A_1 & 0\\
|
|
||||||
C & A_2
|
|
||||||
\end{vmatrix}
|
|
||||||
=|A_1|\times |A_2|
|
|
||||||
\end{equation}
|
|
||||||
|
|
||||||
由矩阵 $A$ 的若干行、若干列的交叉位置元素按照原来顺序排成的矩阵称为 $A$ 的一个\textbf{子矩阵}。
|
|
||||||
|
|
||||||
\end{document}
|
|
||||||
BIN
image/donate.jpg
Normal file
|
After Width: | Height: | Size: 138 KiB |
BIN
image/mpg.png
|
Before Width: | Height: | Size: 91 KiB |
BIN
image/scatter.pdf
Normal file
27
image/scatter.py
Normal file
@@ -0,0 +1,27 @@
|
|||||||
|
# This file is the source file of the scatter.pdf
|
||||||
|
# source page: https://matplotlib.org/gallery/shapes_and_collections/scatter.html
|
||||||
|
import numpy as np
|
||||||
|
import matplotlib.pyplot as plt
|
||||||
|
|
||||||
|
# Fixing random state for reproducibility
|
||||||
|
np.random.seed(19680801)
|
||||||
|
|
||||||
|
|
||||||
|
N = 50
|
||||||
|
x = np.random.rand(N)
|
||||||
|
y = np.random.rand(N)
|
||||||
|
colors = np.random.rand(N)
|
||||||
|
area = (30 * np.random.rand(N))**2 # 0 to 15 point radii
|
||||||
|
|
||||||
|
ax = plt.subplot(111)
|
||||||
|
ax.scatter(x, y, s=area, c=colors, alpha=0.5)
|
||||||
|
|
||||||
|
# Hide the right and top spines
|
||||||
|
ax.spines['right'].set_visible(False)
|
||||||
|
ax.spines['top'].set_visible(False)
|
||||||
|
|
||||||
|
# Only show ticks on the left and bottom spines
|
||||||
|
ax.yaxis.set_ticks_position('left')
|
||||||
|
ax.xaxis.set_ticks_position('bottom')
|
||||||
|
|
||||||
|
plt.savefig('scatter.pdf', transparent=True)
|
||||||
BIN
image/star.png
Normal file
|
After Width: | Height: | Size: 45 KiB |
BIN
image/tlshell.png
Normal file
|
After Width: | Height: | Size: 218 KiB |
127
reference.bib
@@ -1,68 +1,71 @@
|
|||||||
@article{Zeng2017,
|
|
||||||
abstract = {{\textcopyright} 2017 Zeng et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Peer-to-peer (P2P) lending, as a novel economic lending model, has triggered new challenges on making effective investment decisions. In a P2P lending platform, one lender can invest N loans and a loan may be accepted by M investors, thus forming a bipartite graph. Basing on the bipartite graph model, we built an iteration computation model to evaluate the unknown loans. To validate the proposed model, we perform extensive experiments on real-world data from the largest American P2P lending marketplace - Prosper. By comparing our experimental results with those obtained by Bayes and Logistic Regression, we show that our computation model can help borrowers select good loans and help lenders make good investment decisions. Experimental results also show that the Logistic classification model is a good complement to our iterative computation model, which motivates us to integrate the two classification models. The experimental results of the hybrid classification model demonstrate that the logistic classification model and our iteration computation model are complementary to each other. We conclude that the hybrid model (i.e., the integration of iterative computation model and Logistic classification model) is more efficient and stable than the individual model alone.},
|
@article{en3,
|
||||||
author = {Zeng, Xiangxiang and Liu, Li and Leung, Stephen and Du, Jiangze and Wang, Xun and Li, Tao},
|
title={{The Mechanism and Effectiveness of Credit Scoring of P2P Lending Platform: Evidence from Renrendai.com}},
|
||||||
doi = {10.1371/journal.pone.0184242},
|
author={Li, Qiang and Chen, Liwen and Zeng, Yong},
|
||||||
file = {:D$\backslash$:/Nuts/Reference/A decision support model for investment on P2P lending platform - Zeng et al. - 2017.pdf:pdf;:D$\backslash$:/Nuts/Reference/A decision support model for investment on P2P lending platform - Zeng et al. - 2017(2).pdf:pdf},
|
journal={China Finance Review International},
|
||||||
isbn = {1111111111},
|
volume={8},
|
||||||
issn = {19326203},
|
number={3},
|
||||||
journal = {PLoS ONE},
|
pages={256--274},
|
||||||
number = {9},
|
year={2018},
|
||||||
pages = {1--18},
|
publisher={Emerald Publishing Limited}
|
||||||
title = {{A decision support model for investment on P2P lending platform}},
|
|
||||||
volume = {12},
|
|
||||||
year = {2017}
|
|
||||||
}
|
|
||||||
@article{EINAV2010,
|
|
||||||
author = {Einav, Liran And Cullen, Amy Finkelstein Mark R.},
|
|
||||||
file = {:D$\backslash$:/Nuts/Reference/Estimating Welfare in Insurance Markets Using Variation in Prices - EINAV, CULLEN - 2010.pdf:pdf},
|
|
||||||
isbn = {1932-6203 (Electronic) 1932-6203 (Linking)},
|
|
||||||
issn = {19326203},
|
|
||||||
journal = {Quarterly Journal of Economics},
|
|
||||||
number = {August},
|
|
||||||
pages = {877--921},
|
|
||||||
pmid = {24710357},
|
|
||||||
title = {{Estimating Welfare in Insurance Markets Using Variation in Prices}},
|
|
||||||
volume = {CXXV},
|
|
||||||
year = {2010}
|
|
||||||
}
|
|
||||||
@article{Veiga2018,
|
|
||||||
abstract = {Would consumer surplus increase if annuity rates were age-neutral? This paper characterizes the socially optimal contractibility of a given signal in markets with adverse selection. A signal (e.g., age) partitions consumers into subsets (e.g., young and old). A regulator restricts price-discrimination on the basis of the signal if the consumer subsets where the level of cost is higher are also the subsets where there is greater deadweight loss due to adverse selection. Such signals are empirically common. To illustrate the welfare benefit of price discrimination policy, I use a structural model to estimate its impact on the UK annuities market. The model is estimated using proprietary data that include the annuity seller's estimate of each individual's longevity. I find that restricting price discrimination can increase consumer surplus by the equivalent of about {\pounds}6.5 million per year.},
|
|
||||||
author = {Veiga, Andr{\'{e}}},
|
|
||||||
file = {:D$\backslash$:/Nuts/Reference/The Impact of Price Discrimination in Markets with Adverse Selection - Veiga - 2018.pdf:pdf},
|
|
||||||
keywords = {Adverse Selection,D41,L52,Price Discrimination,Structural Estimation JEL Classification Codes: D8},
|
|
||||||
title = {{The Impact of Price Discrimination in Markets with Adverse Selection}},
|
|
||||||
year = {2018}
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@article{Chen2018,
|
|
||||||
abstract = {We use data from a major peer-to-peer lending marketplace in China to study whether female and male investors evaluate loan performance differently. Controlling for variables of investor demographics, investor experience, and loan characteristics, we find that loans invested by female investors are more likely to default and have lower loan return in the future than loans invested by male investors. We define abnormal default or abnormal loan return as the part of the loan default or the part of loan return that is not explained by loan characteristics and find that the loans invested by female investors have higher abnormal default and lower abnormal loan return than the loans invested by male investors. Furthermore, female investors perform similarly to male investors in abnormal default or abnormal loan return when investors have high levels of education or income or when investors work in finance or information technology industries.},
|
@article{en2,
|
||||||
author = {Chen, Jia and Jiang, Jiajun and jane Liu, Yu},
|
author = {Carlstrom, Charles T and Fuerst, Timothy S},
|
||||||
doi = {10.1016/j.jempfin.2018.06.004},
|
title = {{Agency Costs, Net Worth, and Business Fluctuations: A Computable General Equilibrium Analysis}},
|
||||||
file = {:D$\backslash$:/Nuts/Reference/Financial literacy and gender difference in loan performance - Chen, Jiang, Liu - 2018.pdf:pdf},
|
journal = {The American Economic Review},
|
||||||
issn = {09275398},
|
pages = {893-910},
|
||||||
journal = {Journal of Empirical Finance},
|
ISSN = {0002-8282},
|
||||||
keywords = {Financial Literacy, Gender Difference, Loan Default, Loan Return,Peer-to-peer Lending},
|
year = {1997},
|
||||||
number = {71673007},
|
type = {Journal Article}
|
||||||
pages = {307--320},
|
|
||||||
title = {{Financial Literacy and Gender Difference in Loan Performance}},
|
|
||||||
volume = {48},
|
|
||||||
year = {2018}
|
|
||||||
}
|
}
|
||||||
|
|
||||||
@article{Havrylchyk2018,
|
@article{en1,
|
||||||
abstract = {The objective of our paper is to explore the role of P2P lending platforms through the prism of the theory of financial intermediation. P2P lending platforms perform the brokerage function of financial intermediaries by matching lenders' supply and borrowers' demand of funding, according to the risk and the maturity of their needs. Unlike banks, P2P lending platforms do not create money and do not perform risk and maturity transformation. However, they can organize secondary markets to trade loan contracts before maturity and some P2P lending platforms aim at providing a fixed income to lenders. To ensure efficient and sustainable financial intermediation, P2P lending platforms need to ensure that they are not subject to principal-agent problems and that their incentives coincide with those of lenders. The possibility of orderly resolution of P2P lending platforms failures might decrease moral hazard problems that are inherent in the modern financial intermediation.},
|
author = {Quadrini, Vincenzo},
|
||||||
author = {Havrylchyk, Olena and Verdier, Marianne},
|
title = {{Financial Frictions in Macroeconomic Fluctuations}},
|
||||||
doi = {10.1057/s41294-017-0045-1},
|
journal = {FRB Richmond Economic Quarterly},
|
||||||
file = {:D$\backslash$:/Nuts/Reference/The Financial Intermediation Role of the P2P Lending Platforms - Havrylchyk, Verdier - 2018.pdf:pdf},
|
volume = {97},
|
||||||
issn = {14783320},
|
number = {3},
|
||||||
journal = {Comparative Economic Studies},
|
pages = {209-254},
|
||||||
keywords = {Access to finance,Financial crisis,Information and communication technologies,Internet,Market structure,Online lenders,Peer-to-peer lending},
|
year = {2011},
|
||||||
number = {1},
|
type = {Journal Article}
|
||||||
pages = {115--130},
|
}
|
||||||
publisher = {Palgrave Macmillan UK},
|
|
||||||
title = {{The Financial Intermediation Role of the P2P Lending Platforms}},
|
@article{cn1,
|
||||||
url = {https://doi.org/10.1057/s41294-017-0045-1},
|
author = {方军雄},
|
||||||
volume = {60},
|
key = {fang1 jun1 xiong2},
|
||||||
year = {2018}
|
title = {{所有制、制度环境与信贷资金配置}},
|
||||||
|
journal = {经济研究},
|
||||||
|
number = {12},
|
||||||
|
pages = {82-92},
|
||||||
|
ISSN = {0577-9154},
|
||||||
|
year = {2007},
|
||||||
|
type = {Journal Article}
|
||||||
|
}
|
||||||
|
|
||||||
|
@article{cn2,
|
||||||
|
author = {刘凤良 and 章潇萌 and 于泽},
|
||||||
|
key = {liu2 feng4 liang2 zhang1 xiao1 meng2 yu2 ze2},
|
||||||
|
title = {{高投资、结构失衡与价格指数二元分化}},
|
||||||
|
journal = {金融研究},
|
||||||
|
number = {02},
|
||||||
|
pages = {54-69},
|
||||||
|
ISSN = {1002-7246},
|
||||||
|
year = {2017},
|
||||||
|
type = {Journal Article}
|
||||||
|
}
|
||||||
|
|
||||||
|
@article{cn3,
|
||||||
|
author = {吕捷 and 王高望},
|
||||||
|
key = {lv3 jie2 wang2 gao1 wang4},
|
||||||
|
title = {{CPI 与 PPI “背离”的结构性解释}},
|
||||||
|
journal = {经济研究},
|
||||||
|
volume = {50},
|
||||||
|
number = {04},
|
||||||
|
pages = {136-149},
|
||||||
|
ISSN = {0577-9154},
|
||||||
|
year = {2015},
|
||||||
|
type = {Journal Article}
|
||||||
}
|
}
|
||||||
|
|
||||||
|
|||||||