user202729

\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{array}
\usepackage{makecell}
\newcolumntype{x}[1]{>{\centering\arraybackslash}p{#1}}
\usepackage{tikz}

\begin{document}
\newcommand\diag[4]{%
  \multicolumn{1}{@{}p{#2}@{}|}{%

user202729

If you see [unknown], the following might be useful assuming you're using --call-stack dwarf:

• Note that --call-graph dwarf,1024 (where 1024 is the stack size) dumps first 1024 bytes of the stack to the record file, then use DWARF debug information to deduce the frames later.

  This is quite inefficient (because it dumps the whole stack instead of just the addresses for each sample), but more importantly, if the stack is too deep (1024 bytes is insufficient) then the result is [unknown] frames.

  So, either try increasing it to dwarf,65528 (which is the maximum on my machine), or if it still doesn't work, --call-graph lbr or --call-graph fp (the last one may need recompile).

Other things to try:

user202729

Resource for answer in https://tex.stackexchange.com/questions/109467/footnote-in-tabular-environment .

Packages to be tested:

• footnote credit to https://tex.stackexchange.com/a/109471/250119
• footnotehyper package --- direct replacement for footnote package.
• tablefootnote credit to https://tex.stackexchange.com/a/35327/250119 or https://tex.stackexchange.com/a/35328/250119 or https://tex.stackexchange.com/a/35327/250119
• longtable package. (it has native footnote support. As mentioned in the documentation, \footnote will not work in the head or foot sections of the table.)
• ftnxtra package credit to https://tex.stackexchange.com/a/35276/250119
• threeparttable package credit to https://tex.stackexchange.com/a/327385/250119 or https://tex.stackexchange.com/a/1590/250119

user202729

Commands to rasterize PDF

Resources for answers in https://unix.stackexchange.com/a/767380/296692 and https://superuser.com/a/1826641/577463 .

source_file.pdf

This file was generated by:

curl -o "CS3210 Reference.pdf" "https://raw.githubusercontent.com/btzy/homepage/master/nus/CS3210%20Reference.pdf"

user202729

user202729

Some SVG images used in https://math.stackexchange.com/a/4811325/261710 .

user202729

Additional notes for https://codeforces.com/blog/entry/111625 "[Tutorial] On Range LIS Queries, Part 1 - Codeforces".

user202729

Yet another alternative axiomization of a Hausdorff topological space

(or: why does the intuitive axiomation of topological space makes sense)

For Hausdorff space, there's the following alternative definition of a topology, rather than based on "open sets" (typical definition), or touch-axiomization as in this MathOverflow post. (nevertheless, this definition is really close to that.)

Let $A$ be a set. Define an operator $\lim: A^ω → A∪{ε}$ (assume $ε$ is an abstract element not in $A$), which takes an infinite sequence of elements in $A$, and returns an element of $A$ if the sequence converges in $A$, or return $ε$ otherwise.

(observe that if the space is not Hausdorff, it may be the case that a sequence "converges" to multiple points.)

user202729

#!/bin/python3

from pathlib import Path

import re
specially_handled = {
		match[1] for match in 
		re.finditer(r'\\__umi_special_handle{(.)}', Path("unicode-math-input.sty").expanduser().read_text())
		}

user202729

%! TEX program = pdflatex
% vim: ts=2 sw=2 et:
\documentclass[12pt]{article}


\usepackage[mathletters]{ucs}
\usepackage[utf8x]{inputenc}

\ExplSyntaxOn