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墨者实验室：使用英文目录，上传在北京大学的slides

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<TeXmacs|2.1.2>
<style|<tuple|metropolis|doc>>
<\body>
<screens|<\shown>
<tit|<strong|Architecture and Implementation>>
<\big-table*>
<\wide-tabular>
<tformat|<cwith|2|4|1|1|cell-halign|c>|<cwith|2|2|1|1|cell-valign|c>|<cwith|3|3|1|1|cell-valign|c>|<cwith|6|6|2|2|cell-row-span|1>|<cwith|6|6|2|2|cell-col-span|2>|<cwith|5|5|1|1|cell-row-span|1>|<cwith|5|5|1|1|cell-col-span|2>|<cwith|2|2|2|2|cell-row-span|2>|<cwith|2|2|2|2|cell-col-span|1>|<cwith|2|2|2|2|cell-halign|c>|<cwith|2|2|2|2|cell-valign|c>|<cwith|4|4|2|2|cell-halign|c>|<cwith|6|6|2|2|cell-halign|c>|<cwith|6|6|1|1|cell-halign|c>|<cwith|5|5|1|1|cell-halign|c>|<cwith|2|2|3|3|cell-row-span|3>|<cwith|2|2|3|3|cell-col-span|1>|<cwith|2|2|3|3|cell-halign|c>|<cwith|2|2|3|3|cell-valign|c>|<cwith|6|6|2|2|cell-background|#faa>|<cwith|2|2|3|3|cell-background|pastel
red>|<cwith|5|5|3|3|cell-background|pastel
green>|<cwith|4|4|2|2|cell-background|pastel
green>|<cwith|5|5|1|1|cell-background|pastel
green>|<cwith|6|6|1|1|cell-background|#afa>|<cwith|4|4|1|1|cell-background|#ffa>|<cwith|2|2|2|2|cell-background|#aff>|<cwith|2|3|1|1|cell-background|pastel
red>|<cwith|1|1|2|2|cell-row-span|1>|<cwith|1|1|2|2|cell-col-span|2>|<cwith|1|1|1|-1|cell-halign|c>|<cwith|1|1|1|1|cell-background|pastel
magenta>|<cwith|1|1|2|2|cell-background|pastel
magenta>|<table|<row|<\cell>
What you see
</cell>|<\cell>
What you type or click
</cell>|<\cell>
\;
</cell>>|<row|<\cell>
Renderer
</cell>|<\cell>
Editor
</cell>|<\cell>
Widget
</cell>>|<row|<\cell>
Typesetter
</cell>|<\cell>
\;
</cell>|<\cell>
\;
</cell>>|<row|<\cell>
<TeXmacs> Style Sheet
</cell>|<\cell>
Scheme API
</cell>|<\cell>
\;
</cell>>|<row|<\cell>
Data Model as a tree in <TeXmacs> scheme data
</cell>|<\cell>
\;
</cell>|<\cell>
Scheme API
</cell>>|<row|<\cell>
Standard S7 Scheme
</cell>|<\cell>
Qt Framework in C++
</cell>|<\cell>
\;
</cell>>>>
</wide-tabular>
\;
<|big-table*>
Architecture of GNU <TeXmacs>
</big-table*>
<\itemize-dot>
<item>Content Model: How does <TeXmacs> document stored and rendered?
<item>Code Structure: How is <TeXmacs> code organized?
<item>Example: What happens when we type in the editor?
<item>Ongoing Work: Can <TeXmacs> run in browser?
</itemize-dot>
</shown>|<\hidden>
<\tit>
<strong|Content Model: Documet as a tree>
</tit>
<\equation*>
x+y+<frac|1|2>+<sqrt|y+z>
</equation*>
A <TeXmacs> document can be serialized in <name|TM> formart:\
<\verbatim-code>
\<less\>\\equation*\<gtr\>
\ \ x+y+\<less\>frac\|1\|2\<gtr\>+\<less\>sqrt\|y+z\<gtr\>
\<less\>/equation*\<gtr\>
</verbatim-code>
or <TeXmacs> <name|Scheme> format:
<\scm-code>
(equation*
\ (document
\ \ (concat "x+y+" (frac "1" "2") "+" (sqrt "y+z"))))\
</scm-code>
</hidden>|<\hidden>
<tit|<strong|Content Model: Documet as a tree>>
<TeXmacs> can load the document and store it as a tree in the memory:
<\equation*>
<tree|<markup|document><around*|[|0|]>|<tree|<markup|equation*><around*|[|0,0|]>|<tree|<markup|document><around*|[|0,0,0|]>|<tree|<markup|concat><around*|[|0,0,0,0|]>|<scm|"x+y"><around*|[|0,0,0,0,0|]>|<tree|<markup|frac><around*|[|1,0,0,0,0|]>|1<around*|[|0,1,0,0,0,0|]>|2<around*|[|1,1,0,0,0,0|]>>|<scm|"+">|<tree|<markup|sqrt>|<scm|"y+z">>>>>>
</equation*>
</hidden>|<\hidden>
<tit|<strong|Content Model: From tree to boxes>>
The Typesetter converts the <TeXmacs> tree into graphical Boxes, which
contains rendering and other auxiliary information. e.g. physical
bounding boxes, computing the positions of cursors and selections, etc.
<\equation*>
<tree|concat box|<tree|text box|<scm|"x+y+">>|<tree|math box
<around*|(|<frac|\<box\>|\<box\>>|)>|<tree|text
box|<scm|"1">>|<tree|text box|<scm|"2">>>|<tree|math box
<around*|(|<sqrt|\<box\>>|)>|<tree|text box|<scm|"y+z">>>>
</equation*>
</hidden>|<\hidden>
<tit|<strong|Content Model: Rendering boxes>>
The last step is using render to draw the boxes:
<\itemize-dot>
<item>Qt implements the rendering on screen canvas
<item>Hummus PDF implements the export to PDF
<item>etc
</itemize-dot>
</hidden>|<\hidden>
<\tit>
<strong|Code Structure: Overview of Scheme modules>
</tit>
<big-figure|<with|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|10|none>>|gr-mode|<tuple|group-edit|edit-props>|gr-fill-color|black|gr-line-width|1ln|gr-frame|<tuple|scale|0.707101cm|<tuple|0.5gw|0.499999gh>>|magnify|0.7071067807598522|gr-grid-aspect|<tuple|<tuple|axes|#808080>|<tuple|1|#c0c0c0>|<tuple|10|#e0e0ff>>|gr-grid-aspect-props|<tuple|<tuple|axes|#808080>|<tuple|1|#c0c0c0>|<tuple|10|#e0e0ff>>|gr-edit-grid|<tuple|cartesian|<point|0|0>|1>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|1>|gr-auto-crop|true|<graphics||<with|fill-color|grey|<cline|<point|-6.5|-0.5>|<point|6.5|-0.5>|<point|6.5|-4>|<point|-6.5|-4>>>|<with|fill-color|pastel
grey|<cline|<point|-4|-2>|<point|4|-2>|<point|4|-1>|<point|-4|-1>>>|<with|fill-color|#afa|<cline|<point|-6|-1>|<point|-4.5|-1>|<point|-4.5|-2.5>|<point|-0.25|-2.5>|<point|-0.25|-3.5>|<point|-6|-3.5>>>|<with|fill-color|#faa|<cline|<point|0.25|-2.5>|<point|4.5|-2.5>|<point|4.5|-1>|<point|6|-1>|<point|6|-3.5>|<point|0.25|-3.5>>>|<with|text-at-halign|center|text-at-valign|center|<text-at|<scheme>
routines from glue|<point|3.25|-3>>>|<with|text-at-halign|center|text-at-valign|center|<text-at|Standard
<scheme> language|<point|-3.25|-3>>>|<line|<point|-2.25|-2>>|<line|<point|-2.25|-2>>|<with|fill-color|black|color|none|<cline|<point|-2.5|-2.25>|<point|-2.25|-2>|<point|-2|-2.25>>>|<with|fill-color|black|color|none|<cline|<point|1.75|-2.25>|<point|2|-2>|<point|2.25|-2.25>>>|<with|fill-color|black|color|none|<cline|<point|-0.25|-0.75>|<point|0|-0.5>|<point|0.25|-0.75>>>|<with|fill-color|black|color|none|<cline|<point|-5.5|-0.75>|<point|-5.25|-0.5>|<point|-5|-0.75>>>|<with|fill-color|black|color|none|<cline|<point|5|-0.75>|<point|5.25|-0.5>|<point|5.5|-0.75>>>|<with|line-width|2ln|<line|<point|-2.25|-2.5>|<point|-2.25|-2.25>>>|<with|line-width|2ln|<line|<point|2|-2.5>|<point|2|-2.25>>>|<with|line-width|2ln|<line|<point|0|-1>|<point|0|-0.75>>>|<with|line-width|2ln|<line|<point|-5.25|-1>|<point|-5.25|-0.75>>>|<with|line-width|2ln|<line|<point|5.25|-1>|<point|5.25|-0.75>>>|<with|fill-color|pastel
grey|<cline|<point|-6.5|0>|<point|6.5|0>|<point|6.5|-0.5>|<point|-6.5|-0.5>>>|<with|fill-color|grey|<cline|<point|-6.5|1>|<point|-6.5|3.5>|<point|-0.5|3.5>|<point|-0.5|1>>>|<with|fill-color|grey|<cline|<point|0.5|3.5>|<point|6.5|3.5>|<point|6.5|1>|<point|0.5|1>>>|<with|fill-color|pastel
grey|<cline|<point|-6|2.5>|<point|-6|1.5>|<point|-4.5|1.5>|<point|-4.5|2.5>>>|<with|fill-color|pastel
grey|<cline|<point|-4.25|1.5>|<point|-2.75|1.5>|<point|-2.75|2.5>|<point|-4.25|2.5>>>|<with|fill-color|pastel
grey|<cline|<point|-2.5|1.5>|<point|-1|1.5>|<point|-1|2.5>|<point|-2.5|2.5>>>|<with|fill-color|pastel
grey|<cline|<point|1|2.5>|<point|1|1.5>|<point|2.5|1.5>|<point|2.5|2.5>>>|<with|fill-color|pastel
grey|<cline|<point|2.75|2.5>|<point|2.75|1.5>|<point|4.25|1.5>|<point|4.25|2.5>>>|<with|fill-color|pastel
grey|<cline|<point|4.5|1.5>|<point|6|1.5>|<point|6|2.5>|<point|4.5|2.5>>>|<with|text-at-halign|center|text-at-valign|center|<text-at|Plug-ins|<point|3.5|3>>>|<with|text-at-halign|center|text-at-valign|center|<text-at|Internal
modules|<point|-3.5|3>>>|<with|line-width|2ln|<line|<point|-3.5|0>|<point|-3.5|1>>>|<with|line-width|2ln|<line|<point|3.5|0>|<point|3.5|1>>>|<with|line-width|2ln|<line|<point|-0.5|2.25>|<point|0.5|2.25>>>|<with|fill-color|black|color|none|<cline|<point|-3.75|0.75>|<point|-3.5|1>|<point|-3.25|0.75>>>|<with|fill-color|black|color|none|<cline|<point|3.25|0.75>|<point|3.5|1>|<point|3.75|0.75>>>|<with|fill-color|black|color|none|<cline|<point|0.25|2.5>|<point|0.5|2.25>|<point|0.25|2>>>|<with|text-at-halign|center|text-at-valign|center|<text-at|Language
extensions, utilities and libraries|<point|0|-1.5>>>>>|Schematic
organization of the <scheme> API.>
</hidden>|<\hidden>
<tit|<strong|Code Structure: Scheme routines from glue>>
<\itemize>
<item>C++ (Typesetter, UI Frameworks)
<item>Exported to Scheme via glue
<\itemize-minus>
<item>Operations on Data Model
<item>User Interface: Keyboard/Mouse events, Scheme bindings of Qt.
e.g.\
<\session|scheme|default>
<\input>
Scheme]\
<|input>
(open-window)
</input>
</session>
<item>many others, you can find the full list in following files:
<\itemize-arrow>
<item>src/Scheme/Glue/build-glue-basic.scm
<item>src/Scheme/Glue/build-glue-editor.scm
<item>src/Scheme/Glue/build-glue-server.scm
</itemize-arrow>
</itemize-minus>
</itemize>
</hidden>|<\hidden>
<tit|<strong|Code Structure: Scheme utils and modules>>
<\itemize-dot>
<item><marked|Extensions to Scheme and utilities> provide frequently
used functionalities. Corresponding files can be found in following
folders:
<\itemize-arrow>
<item>TeXmacs/progs/kernel
<item>TeXmacs/progs/utils
</itemize-arrow>
<item><marked|Internal modules and plugins> are very similar, they
usually correspond to a particular type of content, e.g.
<\itemize-arrow>
<item>TeXmacs/progs/source
<item>TeXmacs/progs/math
<item>TeXmacs/progs/table
</itemize-arrow>
or correspond to a particular type of functionality, e.g.
<\itemize-arrow>
<item>TeXmacs/progs/fonts
</itemize-arrow>
</itemize-dot>
</hidden>|<\hidden>
<tit|<strong|Example: Type in the editor>>
<\equation*>
\<alpha\>+x+y+<frac|1|2>+<sqrt|y+z>
</equation*>
<\itemize>
<item>Qt UI Frameworks: Keyboard Press Event
<item><tabular|<tformat|<cwith|1|1|1|1|cell-background|#afa>|<table|<row|<cell|Scheme:
<scm|key-press>>>>>> (C++: Cursor Path, Buffering Shortcuts)
<\itemize>
<item><tabular|<tformat|<cwith|1|1|1|1|cell-background|#afa>|<table|<row|<cell|<TeXmacs>
tree changes>>>>> <math|\<rightarrow\>>
<tabular|<tformat|<cwith|1|1|1|1|cell-background|#faa>|<table|<row|<cell|Typeset
Boxes changes>>>>> <math|\<rightarrow\>>
<tabular|<tformat|<cwith|1|1|1|1|cell-background|#faa>|<table|<row|<cell|Qt
Renderer re-render>>>>>
<item><tabular|<tformat|<cwith|1|1|1|1|cell-background|#afa>|<table|<row|<cell|UI
Changes>>>>> (Menu/Tool Bars/Status Bars/Context Menu)
</itemize>
</itemize>
</hidden>|<\hidden>
<tit|<strong|Future: the WASM port>>
<strong|What is Webassembly?> (https://webassembly.org)
<\quotation>
WebAssembly (abbreviated<nbsp><with|font-shape|italic|Wasm>) is a
binary instruction format for a stack-based virtual machine. Wasm is
designed as a portable compilation target for programming languages,
enabling deployment on the web for client and server applications.
</quotation>
Webassembly is now shipped with all four major browser engines, it has
almost native performance.
Emscripten is a toolchain for comipling C++ code to Wasm.
</hidden>|<\hidden>
<tit|<strong|Future: the WASM port>>
Mogan has been successfully compiled to Wasm. <hlink|try it
now|https://yufeng-shen.github.io>
Future improvements:
<\itemize-dot>
<item>make executable file and data file smaller to reduce loading time
<item>fix browser specific issues (some version of browser/ os has
rendering issue)
<item>add workarounds for functionalities that not directly supported
by Wasm (e.g. upload files, hyperlinks, clipboard etc.)
<item>more
</itemize-dot>
</hidden>>
</body>
<\initial>
<\collection>
<associate|font|roman>
<associate|font-base-size|12>
<associate|font-family|rm>
<associate|math-font|roman>
<associate|page-medium|beamer>
<associate|preamble|false>
</collection>
</initial>
<\references>
<\collection>
<associate|auto-1|<tuple|?|?>>
<associate|auto-2|<tuple|1|?>>
</collection>
</references>
<\auxiliary>
<\collection>
<\associate|figure>
<tuple|normal|<surround|<hidden-binding|<tuple>|1>||Schematic
organization of the <with|font-family|<quote|rm>|font-shape|<quote|small-caps>|Scheme>
API.>|<pageref|auto-2>>
</associate>
<\associate|table>
<\tuple|normal>
Architecture of GNU T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>
</tuple|<pageref|auto-1>>
</associate>
</collection>
</auxiliary>

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@misc{Zhang22,
author = {Zhang, Yitang},
copyright = {Creative Commons Attribution 4.0 International},
doi = {10.48550/ARXIV.2211.02515},
keywords = {Number Theory (math.NT), FOS: Mathematics, FOS: Mathematics},
publisher = {arXiv},
title = {Discrete mean estimates and the Landau-Siegel zero},
url = {https://arxiv.org/abs/2211.02515},
year = {2022},
bdsk-url-1 = {https://arxiv.org/abs/2211.02515},
bdsk-url-2 = {https://doi.org/10.48550/ARXIV.2211.02515}
}

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<TeXmacs|2.1.2>
<style|<tuple|metropolis|libertine-font|doc|number-long-article|preview-ref|smart-ref>>
<\body>
<\hide-preamble>
<assign|p|<macro|x|<with|color|magenta|<arg|x>>>>
</hide-preamble>
<screens|<\shown>
<strong|<tabular|<tformat|<cwith|1|1|1|1|cell-background|#aff>|<table|<row|<cell|Math>>>>>
mode>
<\title-slide|<with|font|Linux Biolinum|font-family|rm|font-series|bold|font-base-size|20|Typing
Math with GNU <TeXmacs>>>
<\padded-right-aligned>
<person|Yiqi Xu>
</padded-right-aligned>
<\padded-right-aligned>
<name|LCPU <math|<text|\<times\>>> USTCLUG Salon>
</padded-right-aligned>
<\padded-right-aligned>
<date|27 Nov. 2022>
</padded-right-aligned>
\;
</title-slide|>
</shown>|<\hidden>
<tit|<strong|GNU <TeXmacs> v. <LaTeX>>>
\;
<\folded-explain>
<paragraph|Why do we need <TeXmacs> other than <LaTeX>?>
<|folded-explain>
<\folded>
<LaTeX> is far from satisfactory for scientific writing.
<|folded>
<\quote-env>
You know Leslie Lamport, \ ACM Turing Award laureate, if you are
using <LaTeX>. He is actually surprised <LaTeX> is still being used
and no-one has invented something better :)
<with|color|#5195d9|#HLF22>
<hlink|RT @DrHouriehKh|https://twitter.com/drhouriehkh/status/1572194337781325824?s=61&t=Sd8hLzqu4lLQeZwkGjWxGg>
</quote-env>
<LaTeX> is a tool, and it empowers you as well as limit you, in many
ways.\
<TeXmacs> is designed for those who are not satisfied by the usual
<LaTeX> workflow and dreamt of something different. With <TeXmacs>
you will have time to develop more interesting skills in college.
<\quote-env>
The best latex code is no latex code :) and <TeXmacs> allows you to
write your best latex no-code.
<hlink|RT @gnu_texmacs|https://twitter.com/gnu_texmacs/status/1593978848965804032?s=61&t=Sd8hLzqu4lLQeZwkGjWxGg>
</quote-env>
</folded>
<\folded-std>
<TeXmacs> makes scientific writing intuitive (truly <abbr|WYSIWYG>)
and structured (so <abbr|WYSIWYM>) in comparison to <LaTeX>.
<|folded-std>
<TeXmacs> is driven by the very philosophy of making technical
document editing both innovative and more humane, beautiful and
conceptually correct.
No waste of screen estate, uncluttered UIs, structured editing and
pixel-perfect typesetting. <TeXmacs> allows you to focus on your work
without distractions.
</folded-std>
<\folded>
All you need is in one place.
<|folded>
<TeXmacs> has slide tools, graphics tools, an internal bibliographic
database, interactive sessions in a variety of engines, various
plugins and allows to export <name|PDF>, <LaTeX>, or <name|HTML>,
etc.
</folded>
</folded-explain>
<\folded-explain>
<paragraph|<math|<TeXmacs>\<neq\><TeX>+<name|<text|Emacs>>>>
<|folded-explain>
The name was chosen early on to pay due respect to the two main sources
of inspiration: the <TeX> system and the <name|Emacs> editor, but does
not share any code with these programs.
<TeXmacs> has a radically different design. It aims neither to be
another <LaTeX> frontend nor to be limited by <LaTeX> in how the output
is produced.
</folded-explain>
<\folded-explain>
<paragraph|Can <TeXmacs> replace <LaTeX> in everyday study and work?>
<|folded-explain>
<\quote-env>
I use <TeXmacs> everyday for lectures, presentations, papers,
exercise sheets and export most of my documents to <LaTeX>. There is
no need of <LaTeX> in my workflow, just to send the final version to
the editors. <person|Joris> and other people I know, including most
of my current students and collaborators use it also for slides and
other stuff.
\V Massimiliano Gubinelli <hlink|@The GNU <TeXmacs>
Forum|http://forum.texmacs.cn/t/is-texmacs-better-than-lyx-for-users-who-need-to-export-to-latex/1151/4>
</quote-env>
</folded-explain>
</hidden>|<\hidden>
<paragraph|Three ways to input math>
<\itemize>
<item>toolbar / menubar
<item><markup|macros / <LaTeX> names> or <markup|internal <TeXmacs>
names>
<item><with|color|magenta|keyboard shortcuts>
</itemize>
<paragraph|Three types of formulae>
<\itemize>
<item>Inline formulae <with|color|magenta|<key|$>>
Let <math|x<rsub|1>,\<ldots\>,x<rsub|n>> be variables.
Let<math|V=\<bbb-R\><rsup|n>> a real vector space.
<item>Displayed formulae <with|color|magenta|<shortcut|(make-equation*)>>
<\equation*>
x<rsup|2>+y<rsup|2>=z<rsup|2>
</equation*>
<item>Several equations <with|color|magenta|<shortcut|(make-eqnarray*)>>
<\eqnarray*>
<tformat|<table|<row|<cell|<around*|\||x-y+z|\|>>|<cell|\<leqslant\>>|<cell|<around*|\||x-y|\|>+<around*|\||z|\|>>>|<row|<cell|>|<cell|\<leqslant\>>|<cell|<around*|\||x|\|>+<around*|\||y|\|>+<around*|\||z|\|>>>>>
</eqnarray*>
</itemize>
<paragraph|Variants><with|color|magenta|<math|<with|color|magenta|<key|var>>>>
\ <with|color|magenta|<key|S-var>>
<\equation*>
\<forall\>\<alpha\>.\<exists\>\<beta\>.\<Delta\>+\<nabla\>\<sqsubset\>\<wp\>
</equation*>
<paragraph|Juxtaposition>
<\equation*>
a\<rightarrow\>b\<twoheadrightarrow\>c\<rightarrowtail\>d\<otimes\>e\<oplus\>f\<boxdot\>x
</equation*>
<paragraph|Special fonts>
<\equation*>
f+\<up-a\>+\<b-V\>+\<cal-A\>+\<frak-M\>+\<b-cal-A\>+\<b-up-a\>
</equation*>
<paragraph|2D math markup>
<\equation*>
<cfrac|a<rsub|1>+\<cdots\>+a<rsub|n>|n>\<leqslant\><sqrt|<frac|a<rsup|2><rsub|1>+\<cdots\>+a<rsup|2><rsub|n>|n>>\<leqslant\><sqrt|<frac|a<rsup|k><rsub|1>+\<cdots\>+a<rsup|k><rsub|n>|n>|k>
</equation*>
<\equation*>
\<phi\>=<frac|<sqrt|5>+1|2>=<frac|1|1+<frac|1|1+<frac|1|1+\<ddots\>>>>
</equation*>
<\equation*>
<wide|a+b|~>,<application-space|2em><wide|c+d|^>
</equation*>
<paragraph|Brackets>
<\equation*>
<around*|(|<frac|x|y>|]>
</equation*>
<paragraph|Large symbols>
\;
<\equation*>
<big|sum><rsub|k=1><rsup|\<infty\>><frac|1|k<rsup|2>>=<frac|\<pi\><rsup|2>|6>
</equation*>
\;
<\equation*>
<big|int><rsup|\<infty\>><rsub|-\<infty\>> <frac|sin(x)|x> <frac|sin(x
/ 3)|x / 3>*\<cdots\>*<frac|sin(x / 13)|x / 13> \<mathd\>x=\<pi\>
</equation*>
\;
<\equation*>
<frac|sin z|z>=<big|prod><rsub|n=1><rsup|\<infty\>><around*|(|1-<frac|z<rsup|2>|n<rsup|2>*z<rsup|2>>|)>
</equation*>
<paragraph|Matrices>
<\equation*>
<det|<tformat|<cwith|1|1|4|4|cell-row-span|3>|<cwith|1|1|4|4|cell-col-span|3>|<cwith|1|1|4|4|cell-valign|c>|<cwith|4|4|1|1|cell-row-span|3>|<cwith|4|4|1|1|cell-col-span|3>|<cwith|4|4|1|1|cell-valign|c>|<cwith|1|3|1|3|cell-background|#aff>|<table|<row|<cell|a<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|1\<nocomma\>n>>|<cell|\<b-0\>>|<cell|>|<cell|>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>|<cell|>|<cell|>|<cell|>>|<row|<cell|a<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|n\<nocomma\>n>>|<cell|>|<cell|>|<cell|>>|<row|<cell|\<b-0\>>|<cell|>|<cell|>|<cell|b<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|1\<nocomma\>n>>>|<row|<cell|>|<cell|>|<cell|>|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|>|<cell|>|<cell|>|<cell|b<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|n\<nocomma\>n>>>>>>=<det|<tformat|<cwith|1|-1|1|-1|cell-background|#aff>|<table|<row|<cell|a<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|1\<nocomma\>n>>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|a<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|n\<nocomma\>n>>>>>>*<det|<tformat|<table|<row|<cell|b<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|1\<nocomma\>n>>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|b<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|n\<nocomma\>n>>>>>>
</equation*>
<paragraph|Commutative diagrams>
<\equation*>
<with|gr-mode|<tuple|edit|math-at>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|8.1cm|3.1cm|center>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|2|none>>|gr-edit-grid|<tuple|empty>|gr-text-at-halign|center|gr-arrow-end|\<gtr\>|gr-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-grid-aspect|<tuple|<tuple|axes|#e0e0ff>|<tuple|1|#e0e0ff>|<tuple|2|#e0e0ff>>|gr-grid-aspect-props|<tuple|<tuple|axes|#e0e0ff>|<tuple|1|#e0e0ff>|<tuple|2|#e0e0ff>>|gr-text-at-valign|center|gr-auto-crop|true|<graphics||<with|text-at-halign|center|text-at-valign|center|<math-at|G|<point|-2|1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|H|<point|1|1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|G/Ker<around*|(|f|)>|<point|-2|-1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|Im<around*|(|f|)>|<point|1|-1>>>|<with|arrow-end|\<gtr\>|<line|<point|-2|0.752361>|<point|-2.0|-0.6952034473702129>>>|<with|arrow-end|\<gtr\>|<line|<point|1|-0.695203>|<point|1.0|0.7565829790959407>>>|<with|arrow-end|\<gtr\>|<arrow-with-text|<point|-1.75446|1>|<point|0.7523515850704746|1.0>|<math-at|f>>>|<with|arrow-end|\<gtr\>|<arrow-with-text|<point|-1.03076|-1>|<point|0.35890975944281783|-1.0>|<math-at|<wide|f|\<bar\>>>>>>>
</equation*>
<paragraph|When a symbol is hard to find>
<\itemize>
<item>System tools (e.g. <markup|Character viewer> in <name|macOS>)
<\equation*>
\<twonotes\><space|2em>\<circlearrowleft\><application-space|2em>\<#3088\><rsub|\<cal-C\>>\<of\>\<cal-C\><rsup|op>\<rightarrow\><around*|[|\<cal-C\>,<math-bf|Set>|]>
</equation*>
<item>Internal <TeXmacs> names <p|<key|math q>>
<\equation*>
\<twonotes\><application-space|2em>\<circlearrowleft\>
</equation*>
<item><name|Unicode> numbers <p|<key|math q #>>
<\equation*>
\<#266B\><application-space|2em>\<#3088\><rsub|\<cal-C\>>\<of\>\<cal-C\><rsup|op>\<rightarrow\><around*|[|\<cal-C\>,<math-bf|Set>|]>
</equation*>
</itemize>
<paragraph|Numbering>
<\equation>
L<around|(|s,\<chi\>|)>=<big|sum><rsub|n=1><rsup|\<infty\>><frac|\<chi\><around*|(|n|)>|n<rsup|s>><label|eq:L>
</equation>
<paragraph|Labels and reference>
<\conjecture>
<dueto|Zhang, <cite-detail|Zhang22|Theorem 1>><label|conj:Zhang>If
<math|\<chi\>> is a real primitive character to the modulus <math|D>,
then
<\equation*>
L<around|(|1,\<chi\>|)>\<gtr\>c<rsub|1><around|(|log D|)><rsup|-2022>
</equation*>
where <math|c<rsub|1>\<gtr\>0> is an absolute, effectively computable
constant, <math|L<around*|(|1,\<chi\>|)>> is defined by
<smart-ref|eq:L>.
</conjecture>
As a direct consequence of Conjecture <smart-ref|conj:Zhang> we have\
<\corollary>
<dueto|<cite-detail|Zhang22|Theorem 2>>If <math|\<chi\>> is a real
primitive character to the modulus <math|D>, then
<\equation*>
L<around|(|\<sigma\>,\<chi\>|)>\<neq\>0
</equation*>
for
<\equation*>
\<sigma\>\<gtr\>1-c<rsub|2><around|(|log D|)><rsup|-2024>
</equation*>
where <math|c<rsub|2>\<gtr\>0> is an absolute, effectively computable
constant.
</corollary>
<\bibliography|bib|tm-plain|LCPU_math.bib>
<\bib-list|1>
<bibitem*|1><label|bib-Zhang22>Yitang Zhang. <newblock>Discrete mean
estimates and the landau-siegel zero. <newblock> 2022.<newblock>
</bib-list>
</bibliography>
<\equation*>
\;
</equation*>
\;
<\equation*>
\;
</equation*>
<\equation*>
\;
</equation*>
\;
\;
</hidden>|<\hidden>
\;
</hidden>>
</body>
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<associate|page-medium|papyrus>
<associate|preamble|false>
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<\db-entry|+1jHgHzqCNhj9fJk|misc|Zhang22>
<db-field|contributor|admin>
<db-field|modus|imported>
<db-field|date|1669543453>
<db-field|newer|+1jHgHzqCNhj9fJp>
<|db-entry>
<db-field|author|Yitang <name|Zhang>>
<db-field|title|Discrete mean estimates and the landau-siegel zero>
<db-field|year|2022>
<db-field|copyright|Creative Commons Attribution 4.0 International>
<db-field|doi|10.48550/ARXIV.2211.02515>
<db-field|keywords|Number Theory (math.NT), FOS: Mathematics, FOS:
Mathematics>
<db-field|publisher|arXiv>
<db-field|url|<slink|https://arxiv.org/abs/2211.02515>>
<db-field|bdsk-url-1|<slink|https://arxiv.org/abs/2211.02515>>
<db-field|bdsk-url-2|<slink|https://doi.org/10.48550/ARXIV.2211.02515>>
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<\collection>
<associate|auto-1|<tuple|1|?>>
<associate|auto-10|<tuple|10|?>>
<associate|auto-11|<tuple|11|?>>
<associate|auto-12|<tuple|12|?>>
<associate|auto-13|<tuple|13|?>>
<associate|auto-14|<tuple|14|?>>
<associate|auto-15|<tuple|15|?>>
<associate|auto-16|<tuple|16|?>>
<associate|auto-17|<tuple|2|?>>
<associate|auto-2|<tuple|2|?>>
<associate|auto-3|<tuple|3|?>>
<associate|auto-4|<tuple|4|?>>
<associate|auto-5|<tuple|5|?>>
<associate|auto-6|<tuple|6|?>>
<associate|auto-7|<tuple|7|?>>
<associate|auto-8|<tuple|8|?>>
<associate|auto-9|<tuple|9|?>>
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<associate|conj:Zhang|<tuple|1|?>>
<associate|eq:L|<tuple|1|?>>
</collection>
</references>
<\auxiliary>
<\collection>
<\associate|bib>
Zhang22
</associate>
<\associate|toc>
<with|par-left|<quote|4tab>|Why do we need
T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>
other than L<rsup|<space|-0.8spc><move|A|0fn|-0.1fn>><space|-0.2spc>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X?
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-1><vspace|0.15fn>>
<with|par-left|<quote|4tab>|<with|color|<quote|#503050>|font-family|<quote|rm>|<with|mode|<quote|math>|T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>\<neq\>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X+<with|font-family|<quote|rm>|font-shape|<quote|small-caps>|<with|mode|<quote|text>|Emacs>>>>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-2><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Can T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>
replace L<rsup|<space|-0.8spc><move|A|0fn|-0.1fn>><space|-0.2spc>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X
in everyday study and work? <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-3><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Three ways to input math
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-4><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Three types of formulae
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-5><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Variants
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-6><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Juxtaposition
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-7><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Special fonts
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-8><vspace|0.15fn>>
<with|par-left|<quote|4tab>|2D math markup
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-9><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Brackets
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-10><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Large symbols
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-11><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Matrices
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-12><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Commutative diagrams
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-13><vspace|0.15fn>>
<with|par-left|<quote|4tab>|When a symbol is hard to find
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-14><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Numbering
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-15><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Labels and reference
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-16><vspace|0.15fn>>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|Bibliography>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-17><vspace|0.5fn>
</associate>
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</auxiliary>

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<TeXmacs|2.1.2>
<style|<tuple|metropolis|libertine-font|doc|preview-ref|smart-ref|number-long-article>>
<\body>
<\hide-preamble>
<assign|p|<macro|x|<with|color|magenta|<arg|x>>>>
</hide-preamble>
<screens|<\shown>
<strong|<tabular|<tformat|<cwith|1|1|1|1|cell-background|#aff>|<table|<row|<cell|Math>>>>>
mode>
<\title-slide|<with|font|Linux Biolinum|font-family|rm|font-series|bold|font-base-size|20|Typing
Math with GNU <TeXmacs>>>
<\padded-right-aligned>
<person|Yiqi Xu>
</padded-right-aligned>
<\padded-right-aligned>
<name|LCPU <math|<text|\<times\>>> USTCLUG Salon>
</padded-right-aligned>
<\padded-right-aligned>
<date|27 Nov. 2022>
</padded-right-aligned>
\;
</title-slide|>
</shown>|<\hidden>
<tit|<strong|GNU <TeXmacs> v. <LaTeX>>>
\;
<\folded-explain>
<paragraph|Why do we need <TeXmacs> other than <LaTeX>?>
<|folded-explain>
<\folded>
<LaTeX> is far from satisfactory for scientific writing.
<|folded>
<\quote-env>
You know Leslie Lamport, \ ACM Turing Award laureate, if you are
using <LaTeX>. He is actually surprised <LaTeX> is still being used
and no-one has invented something better :)
<with|color|#5195d9|#HLF22>
<hlink|RT @DrHouriehKh|https://twitter.com/drhouriehkh/status/1572194337781325824?s=61&t=Sd8hLzqu4lLQeZwkGjWxGg>
</quote-env>
<LaTeX> is a tool, and it empowers you as well as limit you, in many
ways.\
<TeXmacs> is designed for those who are not satisfied by the usual
<LaTeX> workflow and dreamt of something different. With <TeXmacs>
you will have time to develop more interesting skills in college.
<\quote-env>
The best latex code is no latex code :) and <TeXmacs> allows you to
write your best latex no-code.
<hlink|RT @gnu_texmacs|https://twitter.com/gnu_texmacs/status/1593978848965804032?s=61&t=Sd8hLzqu4lLQeZwkGjWxGg>
</quote-env>
</folded>
<\folded-std>
<TeXmacs> makes scientific writing intuitive (truly <abbr|WYSIWYG>)
and structured (so <abbr|WYSIWYM>) in comparison to <LaTeX>.
<|folded-std>
<TeXmacs> is driven by the very philosophy of making technical
document editing both innovative and more humane, beautiful and
conceptually correct.
No waste of screen estate, uncluttered UIs, structured editing and
pixel-perfect typesetting. <TeXmacs> allows you to focus on your work
without distractions.
</folded-std>
<\folded>
All you need is in one place.
<|folded>
<TeXmacs> has slide tools, graphics tools, an internal bibliographic
database, interactive sessions in a variety of engines, various
plugins and allows to export <name|PDF>, <LaTeX>, or <name|HTML>,
etc.
</folded>
</folded-explain>
<\folded-explain>
<paragraph|<math|<TeXmacs>\<neq\><TeX>+<name|<text|Emacs>>>>
<|folded-explain>
The name was chosen early on to pay due respect to the two main sources
of inspiration: the <TeX> system and the <name|Emacs> editor, but does
not share any code with these programs.
<TeXmacs> has a radically different design. It aims neither to be
another <LaTeX> frontend nor to be limited by <LaTeX> in how the output
is produced.
</folded-explain>
<\folded-explain>
<paragraph|Can <TeXmacs> replace <LaTeX> in everyday study and work?>
<|folded-explain>
<\quote-env>
I use <TeXmacs> everyday for lectures, presentations, papers,
exercise sheets and export most of my documents to <LaTeX>. There is
no need of <LaTeX> in my workflow, just to send the final version to
the editors. <person|Joris> and other people I know, including most
of my current students and collaborators use it also for slides and
other stuff.
\V Massimiliano Gubinelli <hlink|@The GNU <TeXmacs>
Forum|http://forum.texmacs.cn/t/is-texmacs-better-than-lyx-for-users-who-need-to-export-to-latex/1151/4>
</quote-env>
</folded-explain>
</hidden>|<\hidden>
<paragraph|Three ways to input math>
<\itemize>
<item>toolbar / menubar
<item><markup|macros / <LaTeX> names> (<inactive|<hybrid|>>) or
\ <markup|internal <TeXmacs> names> (<p|<key|C-q>>)
<item><with|color|magenta|keyboard shortcuts>
</itemize>
<paragraph|Three types of formulae>
<\itemize>
<item>Inline formulae <with|color|magenta|<key|$>>
Let <math|x<rsub|1>,\<ldots\>,x<rsub|n>> be variables.
Let<math|V=\<bbb-R\><rsup|n>> a real vector space.
<item>Displayed formulae <with|color|magenta|<shortcut|(make-equation*)>>
<\equation*>
x<rsup|2>+y<rsup|2>=z<rsup|2>
</equation*>
<item>Several equations\
<with|color|magenta|<shortcut|(make-eqnarray*)>>
<\eqnarray*>
<tformat|<table|<row|<cell|<around*|\||x-y+z|\|>>|<cell|\<leqslant\>>|<cell|<around*|\||x-y|\|>+<around*|\||z|\|>>>|<row|<cell|>|<cell|\<leqslant\>>|<cell|<around*|\||x|\|>+<around*|\||y|\|>+<around*|\||z|\|>>>>>
</eqnarray*>
</itemize>
<paragraph|Variants><with|color|magenta|<math|<with|color|magenta|<key|var>>>>
\ <with|color|magenta|<key|S-var>>
<\equation*>
\<forall\>\<alpha\>.\<exists\>\<beta\>.\<Delta\>+\<nabla\>\<sqsubset\>\<wp\>
</equation*>
<paragraph|Juxtaposition>
<\equation*>
a\<rightarrow\>b\<twoheadrightarrow\>c\<rightarrowtail\>d\<otimes\>e\<oplus\>f\<boxdot\>x
</equation*>
<paragraph|Special fonts><with|color|magenta|<prefix|math:up>>
\ <with|color|magenta|<prefix|math:bold>>
\ <with|color|magenta|<prefix|math:cal>>
\ <with|color|magenta|<prefix|math:frak>> and <with|color|magenta|<key|F6
F7>> \ <with|color|magenta|<key|F6 F5>>
<with|color|magenta|<prefix|math:bbb>>(=type the same capital twice)
\ <with|color|magenta|<key|math:greek>>
<\equation*>
f+\<up-a\>+\<b-V\>+\<cal-A\>+\<frak-M\>+\<b-cal-A\>+\<b-up-a\>
</equation*>
<paragraph|2D math markup>
<with|color|magenta|<key|math f>> \ <with|color|magenta|<key|math s>>
\ <with|color|magenta|<key|math s var>>
<\equation*>
<frac|a<rsub|1>+\<cdots\>+a<rsub|n>|n>\<leqslant\><sqrt|<frac|a<rsub|1><rsup|2>+\<cdots\>+a<rsub|n><rsup|2>|n>>\<leqslant\><sqrt|<frac|a<rsub|1><rsup|k>+\<cdots\>+a<rsub|n><rsup|k>|n>|k>
</equation*>
<\equation*>
\<phi\>=<frac|<sqrt|5>+1|2>=<frac|1|1+<frac|1|1+<frac|1|1+\<ddots\>>>>
</equation*>
<p|<key|math ~>> \ <p|<key|math ^>>
<\equation*>
<wide|a+b|~>,<application-space|2em><wide|c+d|^><application-space|2em>
</equation*>
<paragraph|Brackets><with|color|magenta|<key|A-M-up>>
\ <with|color|magenta|<key|A-M-down>>
\ <with|color|magenta|<key|A-M-delete>> \ <with|color|magenta|<key|escape
*>>
<\equation*>
<around*|(|<frac|x|y>|]>
</equation*>
<paragraph|Large symbols><p|<key|S-F5>>
<p|<key|S-F5 S>>
<\equation*>
<big|sum><rsub|k=1><rsup|\<infty\>><frac|1|k<rsup|2>>=<frac|\<pi\><rsup|2>|6>
</equation*>
<p|<key|S-F5 I>> \ <p|<key|S-F5 I !>>\
<\equation*>
<big|int><rsub|-\<infty\>><rsup|\<infty\>> <frac|sin(x)|x> <frac|sin(x
/ 3)|x / 3> ...<frac|sin(x / 13)|x / 13> \<mathd\>x=\<pi\>
</equation*>
\;
<p|<key|S-F5 P>>
<\equation*>
<frac|sin z|z>=<big|prod><rsub|n=1><rsup|\<infty\>><around*|(|1-<frac|z<rsup|2>|n<rsup|2>*z<rsup|2>>|)>
</equation*>
<paragraph|Matrices><p|<key|M-C-t N m>> \ <p|<key|M-C-t N d>>
<\equation*>
<tabular*|<tformat|<table|<row|<cell|>>>>><det|<tformat|<cwith|1|1|4|4|cell-row-span|4>|<cwith|1|1|4|4|cell-col-span|4>|<cwith|1|1|4|4|cell-valign|c>|<cwith|4|4|1|1|cell-row-span|4>|<cwith|4|4|1|1|cell-col-span|4>|<cwith|4|4|1|1|cell-valign|c>|<cwith|1|3|1|3|cell-background|#aff>|<cwith|5|7|5|7|cell-background|>|<table|<row|<cell|a<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|1\<nocomma\>n>>|<cell|\<b-0\>>|<cell|>|<cell|>|<cell|>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>|<cell|>|<cell|>|<cell|>|<cell|>>|<row|<cell|a<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|n\<nocomma\>n>>|<cell|>|<cell|>|<cell|>|<cell|>>|<row|<cell|<math-bf|0>>|<cell|>|<cell|>|<cell|b<rsub|1\<nocomma\>1>>|<cell|b<rsub|1\<nocomma\>2>>|<cell|\<cdots\>>|<cell|b<rsub|1\<nocomma\>n>>>|<row|<cell|>|<cell|>|<cell|>|<cell|b<rsub|2\<nocomma\>1>>|<cell|b<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|1\<nocomma\>n>>>|<row|<cell|>|<cell|>|<cell|>|<cell|\<vdots\>>|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|>|<cell|>|<cell|>|<cell|b<rsub|n\<nocomma\>1>>|<cell|b<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|n\<nocomma\>n>>>>>>=<det|<tformat|<cwith|1|-1|1|-1|cell-background|#aff>|<table|<row|<cell|a<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|1\<nocomma\>n>>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|a<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|a<rsub|n\<nocomma\>n>>>>>><det|<tformat|<cwith|1|-1|1|-1|cell-background|>|<table|<row|<cell|b<rsub|1\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|1\<nocomma\>n>>>|<row|<cell|\<vdots\>>|<cell|\<ddots\>>|<cell|\<vdots\>>>|<row|<cell|b<rsub|n\<nocomma\>1>>|<cell|\<cdots\>>|<cell|b<rsub|n\<nocomma\>n>>>>>>
</equation*>
<paragraph|Commutative diagrams>
<\equation*>
<with|gr-mode|<tuple|edit|math-at>|gr-frame|<tuple|scale|1cm|<tuple|0.5gw|0.5gh>>|gr-geometry|<tuple|geometry|8.1cm|3.1cm|center>|gr-grid|<tuple|empty>|gr-edit-grid-aspect|<tuple|<tuple|axes|none>|<tuple|1|none>|<tuple|2|none>>|gr-edit-grid|<tuple|empty>|gr-text-at-halign|center|gr-arrow-end|\<gtr\>|gr-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-edit-grid-old|<tuple|cartesian|<point|0|0>|2>|gr-grid-aspect|<tuple|<tuple|axes|#e0e0ff>|<tuple|1|#e0e0ff>|<tuple|2|#e0e0ff>>|gr-grid-aspect-props|<tuple|<tuple|axes|#e0e0ff>|<tuple|1|#e0e0ff>|<tuple|2|#e0e0ff>>|gr-text-at-valign|center|gr-auto-crop|true|<graphics||<with|text-at-halign|center|text-at-valign|center|<math-at|G|<point|-2|1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|H|<point|1|1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|G/Ker<around*|(|f|)>|<point|-2|-1>>>|<with|text-at-halign|center|text-at-valign|center|<math-at|Im<around*|(|f|)>|<point|1|-1>>>|<with|arrow-end|\<gtr\>|<line|<point|-2|0.752361>|<point|-2.0|-0.6952034473702129>>>|<with|arrow-end|\<gtr\>|<line|<point|1|-0.695203>|<point|1.0|0.7565829790959407>>>|<with|arrow-end|\<gtr\>|<arrow-with-text|<point|-1.75446|1>|<point|0.7523515850704746|1.0>|<math-at|f>>>|<with|arrow-end|\<gtr\>|<arrow-with-text|<point|-1.03076|-1>|<point|0.35890975944281783|-1.0>|<math-at|<wide|f|\<wide-bar\>>>>>>>
</equation*>
\;
<paragraph|When a symbol is hard to find>
<\itemize>
<item>System tools (e.g. <markup|Character viewer> in <name|macOS>)
<\equation*>
\<twonotes\><space|2em>\<circlearrowleft\><application-space|2em>\<#3088\><rsub|\<cal-C\>>\<of\>\<cal-C\><rsup|op>\<rightarrow\><around*|[|\<cal-C\>,<math-bf|Set>|]>
</equation*>
<item>Internal <TeXmacs> names <p|<key|math q>>
<\equation*>
\<twonotes\><application-space|2em>\<circlearrowleft\>
</equation*>
<item><name|Unicode> numbers <p|<key|math q>>
<\equation*>
\<#266B\><application-space|2em>\<#3088\><rsub|\<cal-C\>>\<of\>\<cal-C\><rsup|op>\<rightarrow\><around*|[|\<cal-C\>,<math-bf|Set>|]>
</equation*>
</itemize>
<paragraph|Numbering><p|<key|A-#>>
<\equation>
L<around|(|s,\<chi\>|)>=<big|sum><rsub|n=1><rsup|\<infty\>><frac|\<chi\><around*|(|n|)>|n<rsup|s>><label|eq:L>
</equation>
<paragraph|Labels and reference><p|<shortcut|(make-label)>>
\ <p|<key|C-?>> \ <markup|smart-ref> and <markup|preview-ref>
<\conjecture>
<dueto|Zhang, <cite-detail|Zhang22|Theorem 1>><label|conj:Zhang>If
<math|\<chi\>> is a real primitive character to the modulus <math|D>,
then
<\equation*>
L<around|(|1,\<chi\>|)>\<gtr\>c<rsub|1><around|(|log D|)><rsup|-2022>
</equation*>
where <math|c<rsub|1>\<gtr\>0> is an absolute, effectively computable
constant and <math|L<around*|(|s,\<chi\>|)>> is defined in
<smart-ref|eq:L>
</conjecture>
As a direct consequence of <smart-ref|conj:Zhang> we have\
<\corollary>
<dueto|<cite-detail|Zhang22|Theorem 2>>If <math|\<chi\>> is a real
primitive character to the modulus <math|D>, then
<\equation*>
L<around|(|\<sigma\>,\<chi\>|)>\<neq\>0
</equation*>
for
<\equation*>
\<sigma\>\<gtr\>1-c<rsub|2><around|(|log D|)><rsup|-2024>
</equation*>
where <math|c<rsub|2>\<gtr\>0> is an absolute, effectively computable
constant.
</corollary>
<\bibliography|bib|tm-plain|LCPU_math.bib>
<\bib-list|1>
<bibitem*|1><label|bib-Zhang22>Yitang Zhang. <newblock>Discrete mean
estimates and the landau-siegel zero. <newblock> 2022.<newblock>
</bib-list>
</bibliography>
<\equation*>
\;
</equation*>
\;
<\equation*>
\;
</equation*>
<\equation*>
\;
</equation*>
\;
\;
</hidden>|<\hidden>
\;
</hidden>>
</body>
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<\db-entry|+2InaPNNd2GsDQNCb|misc|Zhang22>
<db-field|contributor|admin>
<db-field|modus|imported>
<db-field|date|1669849110>
<|db-entry>
<db-field|author|Yitang <name|Zhang>>
<db-field|title|Discrete mean estimates and the landau-siegel zero>
<db-field|year|2022>
<db-field|copyright|Creative Commons Attribution 4.0 International>
<db-field|doi|10.48550/ARXIV.2211.02515>
<db-field|keywords|Number Theory (math.NT), FOS: Mathematics, FOS:
Mathematics>
<db-field|publisher|arXiv>
<db-field|url|<slink|https://arxiv.org/abs/2211.02515>>
<db-field|bdsk-url-1|<slink|https://arxiv.org/abs/2211.02515>>
<db-field|bdsk-url-2|<slink|https://doi.org/10.48550/ARXIV.2211.02515>>
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<associate|auto-1|<tuple|1|?>>
<associate|auto-10|<tuple|10|?>>
<associate|auto-11|<tuple|11|?>>
<associate|auto-12|<tuple|12|?>>
<associate|auto-13|<tuple|13|?>>
<associate|auto-14|<tuple|14|?>>
<associate|auto-15|<tuple|15|?>>
<associate|auto-16|<tuple|16|?>>
<associate|auto-17|<tuple|2|?>>
<associate|auto-2|<tuple|2|?>>
<associate|auto-3|<tuple|3|?>>
<associate|auto-4|<tuple|4|?>>
<associate|auto-5|<tuple|5|?>>
<associate|auto-6|<tuple|6|?>>
<associate|auto-7|<tuple|7|?>>
<associate|auto-8|<tuple|8|?>>
<associate|auto-9|<tuple|9|?>>
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</references>
<\auxiliary>
<\collection>
<\associate|bib>
Zhang22
Zhang22
</associate>
<\associate|toc>
<with|par-left|<quote|4tab>|Why do we need
T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>
other than L<rsup|<space|-0.8spc><move|A|0fn|-0.1fn>><space|-0.2spc>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X?
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-1><vspace|0.15fn>>
<with|par-left|<quote|4tab>|<with|color|<quote|#503050>|font-family|<quote|rm>|<with|mode|<quote|math>|T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>\<neq\>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X+<with|font-family|<quote|rm>|font-shape|<quote|small-caps>|<with|mode|<quote|text>|Emacs>>>>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-2><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Can T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X<rsub|<space|-0.4spc><move|<resize|M<space|-0.2spc>A<space|-0.4spc>CS||||0.5fn>|0fn|-0.1fn>>
replace L<rsup|<space|-0.8spc><move|A|0fn|-0.1fn>><space|-0.2spc>T<rsub|<space|-0.4spc><move|<resize|<with|math-level|<quote|0>|E>||||0.5fn>|0fn|-0.1fn>><space|-0.4spc>X
in everyday study and work? <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-3><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Three ways to input math
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-4><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Three types of formulae
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-5><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Variants
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-6><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Juxtaposition
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-7><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Special fonts
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-8><vspace|0.15fn>>
<with|par-left|<quote|4tab>|2D math markup
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-9><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Brackets
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-10><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Large symbols
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-11><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Matrices
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-12><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Commutative diagrams
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-13><vspace|0.15fn>>
<with|par-left|<quote|4tab>|When a symbol is hard to find
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-14><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Numbering
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-15><vspace|0.15fn>>
<with|par-left|<quote|4tab>|Labels and reference
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-16><vspace|0.15fn>>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|Bibliography>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-17><vspace|0.5fn>
</associate>
</collection>
</auxiliary>

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<TeXmacs|2.1.2>
<style|<tuple|metropolis|narrow-multiply|doc>>
<\body>
<\hide-preamble>
<assign|lcpu|北京大学Linux俱乐部>
<assign|ustclug|中国科学技术大学Linux用户协会>
<assign|ustcug|<macro|dep|中国科学技术大学<arg|dep>用户协会>>
<assign|scm-code|<\macro|body>
<with|body-color|pastel green|<\pseudo-code>
<scm|<arg|body>>
</pseudo-code>>
</macro>>
\;
<assign|red-star|<with|color|red|\<heartsuit\>>>
<assign|fake-star|<with|color|red|♡>>
</hide-preamble>
<\slideshow>
<\slide>
<title-slide|Prog mode in GNU <TeXmacs>||>
</slide>
<\slide>
<\section-slide>
Inline Code and Code Block
</section-slide>
</slide>
<\slide>
<tit|How to insert? (1/2)>
\;
<\itemize>
<item>Inline Code
<item>Code Block
</itemize>
<\question>
How to do numbering?
</question>
<\question>
How to change the code hightlighting?
</question>
No answers!
\;
Prog mode status: <value|red-star><value|red-star><value|fake-star><value|fake-star><value|fake-star>
\;
<marked|Join us and make Mogan Code!!!>
</slide>
<\slide>
<tit|How to insert? (2/2)>
\;
<key|‘ ‘ ‘ var>
<\session|scheme|default>
<\unfolded-io|Scheme] >
(kbd-map ("` ` ` p y"
\ \ \ \ \ \ \ \ \ \ (make `python-code)))))
<|unfolded-io>
("` ` ` p y")
</unfolded-io>
<\input|Scheme] >
\;
</input>
</session>
\;
\;
</slide>
<\slide>
<tit|Code Highlighting>
\;
<hlink|plugins/code/progs/dot-lang.scm|https://gitee.com/XmacsLabs/mogan/blob/branch-1.1/plugins/code/progs/dot-lang.scm>
<\scm-code>
(tm-define (parser-feature lan key)
\ \ (:require
\ \ \ (and (== lan "dot") (== key "keyword")))
\ \ `(,(string-\<gtr\>symbol key)
\ \ \ \ (declare_type "graph" "node" "edge" "digraph" "subgraph")))
</scm-code>
<\dot-code>
digraph G {
\ \ \ node A, B C;
\ \ \ A -\<gtr\> B;
\ \ \ A -\<gtr\> C;
}
</dot-code>
</slide>
<\slide>
\;
<\section-slide>
Code Editing
</section-slide>
</slide>
<\slide>
<tit|Bracket>
\;
<\scm-code>
()
(())
[]
{}
</scm-code>
</slide>
<\slide>
<tit|Yasnippet>
\;
<key|\\ l c p u>
<value|lcpu>
\;
<key|\\ u s t c l u g>
<value|ustclug>
\;
<key|\\ u s t c u g>
<ustcug|<LaTeX>>
<ustcug|墨干>
</slide>
<\slide>
<tit|Key Bindings>
\;
<\session|scheme|default>
<\unfolded-io|Scheme] >
(kbd-map
\ \ ("p s v m"
\ \ \ (begin
\ \ \ \ (insert "public static int main() {}")
\ \ \ \ (go-to-previous)
\ \ \ \ (insert-return)
\ \ \ \ (insert-raw-return)
\ \ \ \ (go-to-previous))))
<|unfolded-io>
("p s v m")
</unfolded-io>
<\input|Scheme] >
\;
</input>
</session>
\;
</slide>
</slideshow>
</body>
<\initial>
<\collection>
<associate|font|frak=TeX Gyre Pagella,cal=TeX Gyre
Termes,math=roman,Fira>
<associate|font-family|rm>
<associate|info-flag|minimal>
<associate|item-vsep|<macro|0fn>>
<associate|page-border|attached>
<associate|page-medium|paper>
<associate|page-offset|1>
<associate|page-packet|2>
<associate|par-par-sep|0.2222fn>
<associate|preamble|false>
</collection>
</initial>

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<TeXmacs|2.1.2>
<style|<tuple|generic|doc|british|preview-ref|smart-ref>>
<\body>
<doc-data|<doc-title|Text mode in GNU <TeXmacs>>|<doc-author|<author-data|<author-name|<person|Darcy
Shen>>>>>
<\note*>
Enable <menu|Tool|Keyboard|Show key presses> first!
</note*>
<section|Focus Toolbar>
<\subsection>
<icon|tm_portrait_1col.svg>
</subsection>
<\itemize>
<item>Paper
<item>Paperus
<item>Book (like reading a real Book)
<item>Panorama
</itemize>
<subsection|Style>
<\itemize>
<item>Generic
<item>Book (Interactive_SICP.tm)
<item>Seminar
<item>Beamer
<item>Source<label|source_style>
</itemize>
<subsection|Style packages>
<\itemize>
<item>doc
<item>comment
<item>language
</itemize>
<\question>
How to view the source code of the style package?
</question>
<\subsection>
<icon|tm_focus_help.svg>
</subsection>
<section|<menu|Insert> menu>
<subsection|Presentation Tag>
<underline|Underline> <overline|Overline> <strike-through|Strike through>
<rsub|subscript>body<rsup|supscript>
<subsection|Content Tag (Semantics Tag)>
See <hlink|Source Style|#source_style>.
<strong|Strong> <em|Empasize> <dfn|Definition> <samp|Sample>
<name|Name> <person|Person>
<deleted|Deleted> <fill-out|Fill out>
<\question>
What is semantics?
</question>
<\itemize>
<item>x<rsup|2>
<item><inactive|<math-square|x>>
</itemize>
<subsection|Size tag>
<really-tiny|Really tiny> <tiny|Tiny> <very-small|Very small> <small|Small>
Normal <larger|Large> <very-large|Very Large> <huge|Huge>
<\question>
How to highlight the text?
</question>
<\answer>
<key|\\ m a r k e d>
</answer>
<section|<menu|Format> menu>
<subsection|Color>
<\question>
How to set the background color?
</question>
<\answer>
<key|\\ t a b u l a r>
</answer>
<subsection|Paragraph>
<section|<menu|Document> menu>
<subsection|Informative flags>
<subsection|Part \<rightarrow\> Preamble>
<subsection|Page>
<\question>
How to make page-number right-aligned?
</question>
</body>
<\initial>
<\collection>
<associate|info-flag|detailed>
<associate|page-medium|papyrus>
<associate|page-orientation|landscape>
<associate|par-columns|1>
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<\collection>
<associate|auto-1|<tuple|?|2>>
<associate|auto-10|<tuple|2|3>>
<associate|auto-11|<tuple|2.1|3>>
<associate|auto-12|<tuple|2.2|?>>
<associate|auto-13|<tuple|2.3|?>>
<associate|auto-14|<tuple|3|3>>
<associate|auto-15|<tuple|3|3>>
<associate|auto-16|<tuple|3|3>>
<associate|auto-17|<tuple|3|3>>
<associate|auto-18|<tuple|3.1|3>>
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<associate|auto-20|<tuple|4|?>>
<associate|auto-21|<tuple|4|3>>
<associate|auto-22|<tuple|4|3>>
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<associate|auto-25|<tuple|4.2|?>>
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<associate|auto-3|<tuple|1.1|2>>
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<associate|auto-6|<tuple|1.4|3>>
<associate|auto-7|<tuple|2|?>>
<associate|auto-9|<tuple|2|3>>
<associate|source_style|<tuple|<with|mode|<quote|math>|\<bullet\>>|?>>
</collection>
</references>
<\auxiliary>
<\collection>
<\associate|idx>
<tuple|<tuple|<with|font-family|<quote|ss>|Insert>>|<pageref|auto-9>>
<tuple|<tuple|<with|font-family|<quote|ss>|Document>>|<pageref|auto-14>>
<tuple|<tuple|<with|font-family|<quote|ss>|Format>>|<pageref|auto-21>>
</associate>
<\associate|toc>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|1<space|2spc>Focus
Toolbar> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-1><vspace|0.5fn>
<with|par-left|<quote|1tab>|1.1<space|2spc><image|file:///Applications/Mogan.app/Contents/Resources/share/Xmacs/misc/pixmaps/modern/16x16/focus/tm_portrait_1col.svg||2ex||-0.333ex>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-2>>
<with|par-left|<quote|1tab>|1.2<space|2spc>Style
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-3>>
<with|par-left|<quote|1tab>|1.3<space|2spc>Style packages
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-4>>
<with|par-left|<quote|1tab>|1.4<space|2spc><image|file:///Applications/Mogan.app/Contents/Resources/share/Xmacs/misc/pixmaps/modern/16x16/focus/tm_focus_help.svg||2ex||-0.333ex>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-5>>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|2<space|2spc><with|font-family|<quote|ss>|Insert><assign|auto-nr|7><write|idx|<tuple|<tuple|<with|font-family|<quote|ss>|Insert>>|<pageref|auto-7>>>
menu> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-7><vspace|0.5fn>
<with|par-left|<quote|1tab>|2.1<space|2spc>Content/Size/Presentation
Tag <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-10>>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|3<space|2spc><with|font-family|<quote|ss>|Document><assign|auto-nr|12><write|idx|<tuple|<tuple|<with|font-family|<quote|ss>|Document>>|<pageref|auto-12>>>
menu> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-12><vspace|0.5fn>
<with|par-left|<quote|1tab>|3.1<space|2spc>Informative flags
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-15>>
<with|par-left|<quote|1tab>|3.2<space|2spc>Part \<rightarrow\> Preamble
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-16>>
<with|par-left|<quote|1tab>|3.3<space|2spc>Page
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-17>>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|4<space|2spc><with|font-family|<quote|ss>|Format><assign|auto-nr|19><write|idx|<tuple|<tuple|<with|font-family|<quote|ss>|Format>>|<pageref|auto-19>>>
menu> <datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-19><vspace|0.5fn>
<with|par-left|<quote|1tab>|4.1<space|2spc>Color
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-22>>
<with|par-left|<quote|1tab>|4.2<space|2spc>Font
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-23>>
<with|par-left|<quote|1tab>|4.3<space|2spc>Paragraph
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-24>>
</associate>
</collection>
</auxiliary>

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<TeXmacs|2.1.2>
<style|generic>
<\body>
This is the first line.
<\equation*>
x+y+<frac|1|2>+<sqrt|y+\<alpha\>>
</equation*>
This is the line after the formula.
<\session|scheme|default>
<\unfolded-io|Scheme] >
(use-modules (utils library tree))
<|unfolded-io>
(#1=(inlet 'primitive-symbol? symbol? 'boot-start 724
'remote-client-list () 'original-display #_display 'original-write
#_write 'write write 'current-module current-module 'provide-public
provide-public 'module-available? module-available? 'list-\<gtr\>module
list-\<gtr\>module 'module-provide module-provide 'resolve-module
resolve-module 're-export re-export 'inherit-modules inherit-modules
'texmacs-module texmacs-module 'quit-TeXmacs-scheme quit-TeXmacs-scheme
'on-entry on-entry 'on-exit on-exit 'curried-define curried-define '1-
1- 'delq delq 'seed-\<gtr\>random-state seed-\<gtr\>random-state
'assoc-set! assoc-set! 'force-output force-output 'string-null?
string-null? 'append! append! 'string-split string-split
'make-record-type make-record-type 'record-constructor
record-constructor 'record-accessor record-accessor 'record-predicate
record-predicate 'make-promise make-promise ...))
</unfolded-io>
<\unfolded-io|Scheme] >
(tm-define t (buffer-tree))
<|unfolded-io>
((texmacs-user))
</unfolded-io>
<\input|Scheme] >
\;
</input>
</session>
</body>
<\initial>
<\collection>
<associate|page-medium|paper>
</collection>
</initial>

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<TeXmacs|2.1.2>
<style|generic>
<\body>
<\session|scheme|default>
<\unfolded-io|Scheme] >
(tree-ref t 1)
<|unfolded-io>
<text|<\equation*>
x+y+<frac|1|2>+<sqrt|y+\<alpha\>>
</equation*>>
</unfolded-io>
<\unfolded-io|Scheme] >
(tree-set t 3 "")
<|unfolded-io>
<text|>
</unfolded-io>
<\unfolded-io|Scheme] >
(tree-ref (tree-ref (tree-ref t 1) 0) 0)
<|unfolded-io>
<text|x+y+<frac|1|2>+<sqrt|y+\<alpha\>>>
</unfolded-io>
<\unfolded-io|Scheme] >
(tree-ref (tree-ref (tree-ref (tree-ref t 1) 0) 0) 1)
<|unfolded-io>
<text|<frac|1|2>>
</unfolded-io>
<\unfolded-io|Scheme] >
(tree-set (tree-ref (tree-ref (tree-ref (tree-ref t 1) 0) 0) 1) 1
'(sqrt "y"))
<|unfolded-io>
<text|<sqrt|y>>
</unfolded-io>
<\input|Scheme] >
\;
</input>
</session>
</body>
<\initial>
<\collection>
<associate|page-medium|paper>
</collection>
</initial>

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<TeXmacs|2.1.2>
<style|<tuple|generic|chinese>>
<\body>
<\show-preamble>
<assign|myspace|http://git.tmml.wiki/XmacsLabs/planet/raw/main/XmacsLabs/>
<assign|gitlink|<macro|name|<hlink|<arg|name>|<merge|<value|myspace>|<arg|name>|.tm>>>>
</show-preamble>
<\ignore>
<doc-data|<doc-title|墨者实验室>>
<section*|文档列表>
<\itemize>
<item><gitlink|财务公开>
</itemize>
<section*|会议记录>
<\itemize>
<item><gitlink|第十一次研讨会>（2022/11/27晚上八点，LCPU\<times\>USTCLUG联合沙龙）
<item><gitlink|第十次研讨会>（2022/11/13晚上八点）
<item><gitlink|第九次研讨会>（<hlink|B站回放|https://www.bilibili.com/video/BV1oR4y1Q7ad/>）
<item><gitlink|第八次研讨会>（<hlink|B站回放|https://www.bilibili.com/video/BV1Pe411V7to>）
<item><gitlink|第七次研讨会>（2022/09/18晚上八点）
<item><gitlink|第六次研讨会>
<item><gitlink|第五次研讨会>
<item><gitlink|第四次研讨会>
<item><gitlink|第三次研讨会>
<item><gitlink|第二次研讨会>
<item><gitlink|第一次研讨会>
</itemize>
<section*|联系我们>
<\strong>
衷心欢迎大家通过以下方式联系我们，交流经验、提供建议或报告问题。
也热情欢迎感兴趣的开发者和志愿贡献者加入墨者实验室。
</strong>
<\padded-center>
<tabular|<tformat|<cwith|1|-1|1|-1|cell-halign|c>|<cwith|2|2|1|-1|cell-background|#f0f0f0>|<cwith|4|4|1|-1|cell-background|#f0f0f0>|<cwith|6|6|1|-1|cell-background|#f0f0f0>|<cwith|8|8|1|-1|cell-background|#f0f0f0>|<table|<row|<cell|<name|Bilibili>>|<cell|<hlink|<with|font|FandolSong|沈浪熊猫儿>|https://space.bilibili.com/28058658>>>|<row|<cell|<name|Gitee>>|<cell|<hlink|<with|font|FandolSong|墨者实验室>|https://gitee.com/XmacsLabs/>>>|<row|<cell|<name|GitHub>>|<cell|<hlink|<name|XmacsLabs>|https://github.com/XmacsLabs>>>|<row|<cell|豆瓣小组>|<cell|<hlink|GNU
<TeXmacs>|https://www.douban.com/group/texmacs/>>>|<row|<cell|知乎>|<cell|<hlink|<with|font|FandolSong|墨干编辑器>|https://www.zhihu.com/people/xmacs>>>|<row|<cell|微信公众号>|<cell|<with|font|FandolSong|墨者实验室>
(<name|xmacs2020>)>>|<row|<cell|微信群>|<cell|<with|font|FandolSong|墨客社区>
(通过微信号 <name|XmacsLabs> 入群)>>|<row|<cell|QQ群>|<cell|GNU
<TeXmacs> 中文社区 (934456971)>>>>>
</padded-center>
</ignore>
</body>
<\initial>
<\collection>
<associate|page-medium|papyrus>
</collection>
</initial>
<\references>
<\collection>
<associate|auto-1|<tuple|?|1>>
<associate|auto-2|<tuple|<with|mode|<quote|math>|\<bullet\>>|?>>
<associate|auto-3|<tuple|<with|mode|<quote|math>|\<bullet\>>|?>>
</collection>
</references>
<\auxiliary>
<\collection>
<\associate|toc>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|文档列表>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-1><vspace|0.5fn>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|会议记录>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-2><vspace|0.5fn>
<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|联系我们>
<datoms|<macro|x|<repeat|<arg|x>|<with|font-series|medium|<with|font-size|1|<space|0.2fn>.<space|0.2fn>>>>>|<htab|5mm>>
<no-break><pageref|auto-3><vspace|0.5fn>
</associate>
</collection>
</auxiliary>

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<TeXmacs|1.99.19>
<style|<tuple|source|british>>
<\body>
<active*|<\src-title>
<src-package-dtd|metropolis|0.1|metropolis|0.1>
<\src-purpose>
A clone of the Beamer Metropolis theme.
</src-purpose>
<src-copyright|2021|Jeroen Wouters>
<\src-license>
This software falls under the <hlink|GNU general public license,
version 3 or later|$TEXMACS_PATH/LICENSE>. It comes WITHOUT ANY
WARRANTY WHATSOEVER. You should have received a copy of the license
which the software. If not, see <hlink|http://www.gnu.org/licenses/gpl-3.0.html|http://www.gnu.org/licenses/gpl-3.0.html>.
</src-license>
</src-title>>
<use-package|fira-font|beamer>
<apply-theme|dark-vador>
<assign|page-even|20mm>
<assign|page-odd|20mm>
<assign|page-right|20mm>
<assign|font-base-size|14>
<assign|font-series|light>
<assign|title-color|white>
<assign|ornament-colored-background|true>
<assign|ornament-color|<if|<value|ornament-colored-background>|#e4e7e7|white>>
<assign|ornament-border|0ln>
<assign|ornament-shadow-color|white>
<assign|example-color|#14b03d>
<assign|example*|<macro|body|<compound|ornamented-titled|<arg|body>|<with|color|<value|example-color>|Example>>>>
<assign|ornament-sunny-color|white>
<assign|ornament-extra-color|<if|<value|ornament-colored-background>|#cfd3d4|white>>
<assign|ornament-title-color|black>
<assign|ornament-render-title|<macro|body|<with|color|<value|ornament-title-color>|font-series|medium|<arg|body>>>>
<assign|decorated-hook|<macro|body|<with|bg-color|<value|ornament-extra-color>|old-color|<value|color>|old-math-color|<value|math-color>|old-strong-color|<value|strong-color>|<with|ornament-extra-color|<value|bg-color>|color|<value|old-color>|math-color|<value|old-math-color>|strong-color|<value|old-strong-color>|<with|bg-color|<value|ornament-color>|<ornament-render-body|<with|ornament-color|<value|bg-color>|<arg|body>>>>>>>>
<assign|title-bar-color|#23373b>
<assign|strong-color|black>
<assign|alert|<macro|body|<with|color|#eb811b|<arg|body>>>>
<assign|title-slide|<\macro|title|author|institute>
<\wide-tabular>
<tformat|<cwith|1|-1|1|1|cell-lsep|1em>|<cwith|1|-1|1|1|cell-rsep|1em>|<cwith|3|4|1|1|cell-bsep|0.5em>|<cwith|3|4|1|1|cell-tsep|1em>|<cwith|1|1|1|1|cell-bsep|1em>|<cwith|1|1|1|1|cell-tsep|1em>|<cwith|1|1|1|1|cell-height|0.4pag>|<cwith|1|1|1|1|cell-vmode|exact>|<cwith|4|4|1|1|cell-bsep|1.em>|<cwith|4|4|1|1|cell-tsep|1.em>|<table|<row|<cell|<with|font-series|medium|<arg|title>>>>|<row|<cell|<with|color|#eb811b|<hrule>>>>|<row|<cell|<very-small|<arg|author>>>>|<row|<cell|<tiny|<arg|institute>>>>>>
</wide-tabular>
</macro>>
<assign|small-caps|false>
<assign|section-slide|<\macro|title>
<\wide-tabular>
<tformat|<cwith|1|1|1|1|cell-valign|c>|<cwith|1|1|1|1|cell-halign|c>|<cwith|1|1|1|1|cell-height|0.9pag>|<cwith|1|1|1|1|cell-vmode|exact>|<table|<row|<\cell>
<tabular|<tformat|<cwith|2|2|1|1|cell-width|0.7par>|<cwith|2|2|1|1|cell-hmode|exact>|<twith|table-width|0.7par>|<twith|table-hmode|exact>|<table|<row|<cell|<arg|title>>>|<row|<cell|<with|color|#eb811b|<strike-through|<space|0.68par>>>>>>>>
</cell>>>>
</wide-tabular>
</macro>>
<assign|title-font-size|1>
<assign|title-vpadding|0.75em>
<assign|tit|<\macro|body>
<\no-margins>
<style-with|src-compact|none|<\surround|<assign|page-this-top|0mm>|<assign|gpag-length|<macro|<minus|1pag|<plus|<times|2|<value|title-vpadding>>|<times|<value|title-font-size>|1.5fn>|0.8fn|<value|par-par-sep>>>>>>
<style-with|src-compact|none|<with|par-par-sep|0fn|color|<value|title-shadow-color>|font-size|<if|<value|title-old-style>|1|<value|title-font-size>>|<style-with|src-compact|none|<resize|<tabular*|<tformat|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-tsep|<value|title-vpadding>>|<cwith|1|1|1|-1|cell-bsep|<value|title-vpadding>>|<cwith|1|1|1|-1|cell-background|<title-bar-color>>|<cwith|1|1|1|1|cell-halign|l>|<cwith|1|1|1|1|cell-hyphen|t>|<twith|table-valign|T>|<cwith|1|1|1|1|cell-bborder|<value|title-border>>|<cwith|1|1|1|1|cell-lsep|0.75em>|<table|<row|<\cell>
<with-tit-color|<with|font-series|medium|<if|<value|small-caps>|<with|font-shape|small-caps|<arg|body>>|<arg|body>>>>
</cell>>>>>||<plus|1b|0.2fn>||>>>>
</surround>>
</no-margins>
</macro>>
</body>
<\initial>
<\collection>
<associate|page-medium|papyrus>
</collection>
</initial>

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index.tm
View File

@ -19,7 +19,7 @@
<item><hlink|视频集锦|http://git.tmml.wiki/XmacsLabs/planet/raw/main/视频集锦/index.tm>：强烈推荐新用户观看 <item><hlink|视频集锦|http://git.tmml.wiki/XmacsLabs/planet/raw/main/视频集锦/index.tm>：强烈推荐新用户观看
<hlink|B站：A Quick Tour of <TeXmacs>|https://www.bilibili.com/video/BV1bo4y1D7wN> <hlink|B站：A Quick Tour of <TeXmacs>|https://www.bilibili.com/video/BV1bo4y1D7wN>
<item><hlink|墨者实验室|http://git.tmml.wiki/XmacsLabs/planet/raw/main/墨者实验室/index.tm> <item><hlink|墨者实验室|http://git.tmml.wiki/XmacsLabs/planet/raw/main/XmacsLabs/index.tm>
<item><hlink|高考数学|http://git.tmml.wiki/XmacsLabs/planet/raw/main/高考数学/index.tm> <item><hlink|高考数学|http://git.tmml.wiki/XmacsLabs/planet/raw/main/高考数学/index.tm>

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<TeXmacs|2.1.2>
<style|<tuple|generic|chinese>>
<\body>
<\hide-preamble>
<assign|myspace|http://git.tmml.wiki/XmacsLabs/planet/raw/main/墨者实验室/>
<assign|gitlink|<macro|name|<hlink|<arg|name>|<merge|<value|myspace>|<arg|name>|.tm>>>>
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<section*|文档列表>
<\itemize>
<item><gitlink|财务公开>
</itemize>
<section*|会议记录>
<\itemize>
<item><gitlink|第十一次研讨会>（2022/11/27晚上八点，LCPU\<times\>USTCLUG联合沙龙）
<item><gitlink|第十次研讨会>（2022/11/13晚上八点）
<item><gitlink|第九次研讨会>（<hlink|B站回放|https://www.bilibili.com/video/BV1oR4y1Q7ad/>）
<item><gitlink|第八次研讨会>（<hlink|B站回放|https://www.bilibili.com/video/BV1Pe411V7to>）
<item><gitlink|第七次研讨会>（2022/09/18晚上八点）
<item><gitlink|第六次研讨会>
<item><gitlink|第五次研讨会>
<item><gitlink|第四次研讨会>
<item><gitlink|第三次研讨会>
<item><gitlink|第二次研讨会>
<item><gitlink|第一次研讨会>
</itemize>
<section*|联系我们>
<\strong>
衷心欢迎大家通过以下方式联系我们，交流经验、提供建议或报告问题。
也热情欢迎感兴趣的开发者和志愿贡献者加入墨者实验室。
</strong>
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<TeXmacs>|https://www.douban.com/group/texmacs/>>>|<row|<cell|知乎>|<cell|<hlink|<with|font|FandolSong|墨干编辑器>|https://www.zhihu.com/people/xmacs>>>|<row|<cell|微信公众号>|<cell|<with|font|FandolSong|墨者实验室>
(<name|xmacs2020>)>>|<row|<cell|微信群>|<cell|<with|font|FandolSong|墨客社区>
(通过微信号 <name|XmacsLabs> 入群)>>|<row|<cell|QQ群>|<cell|GNU
<TeXmacs> 中文社区 (934456971)>>>>>
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<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|会议记录>
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<vspace*|1fn><with|font-series|<quote|bold>|math-font-series|<quote|bold>|联系我们>
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