VLSI notes week 1 lecture 2
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Aidan Sharpe
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7th-Semester-Fall-2024/ECOMMS/notes/citations.bib
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@misc{xie2021symmetric,
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title={On Symmetric Invertible Binary Pairing Functions},
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author={Jianrui Xie},
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year={2021},
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volume={2105.10752},
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journal={arXiv},
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primaryClass={math.CO}
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}
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@misc{moosavidezfooli2016deepfool,
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title={DeepFool: a simple and accurate method to fool deep neural networks},
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author={Seyed-Mohsen Moosavi-Dezfooli and Alhussein Fawzi and Pascal Frossard},
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year={2016},
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volume={1511.04599},
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journal={arXiv},
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primaryClass={cs.LG}
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}
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@misc{goodfellow2015explaining,
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title={Explaining and Harnessing Adversarial Examples},
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author={Ian J. Goodfellow and Jonathon Shlens and Christian Szegedy},
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year={2015},
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volume={1412.6572},
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journal={arXiv},
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primaryClass={stat.ML}
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}
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@article{bartyzel2015signal,
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author = {Bartyzel, Krzysztof},
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year = {2015},
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month = {07},
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pages = {1-8},
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title = {Adaptive Kuwahara filter},
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volume = {10},
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journal = {Signal, Image and Video Processing},
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doi = {10.1007/s11760-015-0791-3}
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}
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@misc{carlini2017evaluating,
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title={Towards Evaluating the Robustness of Neural Networks},
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author={Nicholas Carlini and David Wagner},
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year={2017},
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volume={1608.04644},
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journal={arXiv},
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primaryClass={cs.CR}
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}
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@misc{xie2019feature,
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title={Feature Denoising for Improving Adversarial Robustness},
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author={Cihang Xie and Yuxin Wu and Laurens van der Maaten and Alan Yuille and Kaiming He},
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year={2019},
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volume={1812.03411},
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journal={arXiv},
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primaryClass={cs.CV}
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}
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@article{nair2019robust,
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title={A robust anisotropic diffusion filter with low arithmetic complexity for images},
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author={Nair, Resmi R and David, Ebenezer and Rajagopal, Sivakumar},
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journal={EURASIP Journal on Image and Video Processing},
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volume={2019},
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pages={1--14},
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year={2019},
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publisher={Springer}
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}
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7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.aux
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\relax
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\providecommand{\transparent@use}[1]{}
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\providecommand\hyper@newdestlabel[2]{}
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\AtEndDocument{\ifx\hyper@anchor\@undefined
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\global\let\hyper@last\relax
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7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.fdb_latexmk
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||||
"/usr/share/texlive/texmf-dist/tex/latex/tcolorbox/tcbexternal.code.tex" 1656107635 9035 4057c03f3e68bd5199cad399b7ed35cb ""
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||||
"/usr/share/texlive/texmf-dist/tex/latex/tcolorbox/tcbfitting.code.tex" 1656107635 16500 0e96bf329424e4ffac8ed9198baf08d8 ""
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||||
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|
||||
"/usr/share/texlive/texmf-dist/tex/latex/tcolorbox/tcblistings.code.tex" 1656107635 3414 5ddf9e25d1c361e5fd4b8027ffce69ae ""
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
"/usr/share/texlive/texmf-dist/tex/latex/tools/shellesc.sty" 1654720880 4118 0aa319c56935d7d217b6a8bf300b81b7 ""
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||||
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||||
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||||
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|
||||
"/usr/share/texlive/texmf-dist/tex/latex/transparent/transparent.sty" 1667073146 1918 c8d1ecb3722721d6f624992cbc042b70 ""
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||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
"ecomms-notes.aux" 1725457087.79584 882 008de7139324a7ba715b30cbaad20f20 "pdflatex"
|
||||
"ecomms-notes.tex" 1725457080.63581 349 7e4929782d061128182578a9dcfb4c0f ""
|
||||
"ecomms-notes.toc" 1725457087.79684 17 a67c51215264c290e9436746d1527cb8 "pdflatex"
|
||||
"letterfonts.tex" 1725456946.26335 8702 ef32ca12e97530ef5734ca4adcb1f6b1 ""
|
||||
"macros.tex" 1725456946.26335 3389 93000260d2aea292d29c76d4ace77a29 ""
|
||||
"preamble.tex" 1725456946.26335 20093 c61167ffdfcf8fcdcced7706f26bc5ca ""
|
||||
(generated)
|
||||
"ecomms-notes.aux"
|
||||
"ecomms-notes.log"
|
||||
"ecomms-notes.pdf"
|
||||
"ecomms-notes.toc"
|
||||
(rewritten before read)
|
||||
1548
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.fls
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1292
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.log
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7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.pdf
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7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.synctex.gz
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20
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.tex
Normal file
20
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.tex
Normal file
@ -0,0 +1,20 @@
|
||||
\documentclass{report}
|
||||
|
||||
\input{preamble}
|
||||
\input{macros}
|
||||
\input{letterfonts}
|
||||
|
||||
\title{\Huge{Electrical Communication Systems}}
|
||||
\author{\huge{Aidan Sharpe}}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
\newpage% or \cleardoublepage
|
||||
% \pdfbookmark[<level>]{<title>}{<dest>}
|
||||
\pdfbookmark[section]{\contentsname}{toc}
|
||||
\tableofcontents
|
||||
\pagebreak
|
||||
|
||||
\end{document}
|
||||
1
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.toc
Normal file
1
7th-Semester-Fall-2024/ECOMMS/notes/ecomms-notes.toc
Normal file
@ -0,0 +1 @@
|
||||
\contentsfinish
|
||||
178
7th-Semester-Fall-2024/ECOMMS/notes/letterfonts.tex
Normal file
178
7th-Semester-Fall-2024/ECOMMS/notes/letterfonts.tex
Normal file
@ -0,0 +1,178 @@
|
||||
% Things Lie
|
||||
\newcommand{\kb}{\mathfrak b}
|
||||
\newcommand{\kg}{\mathfrak g}
|
||||
\newcommand{\kh}{\mathfrak h}
|
||||
\newcommand{\kn}{\mathfrak n}
|
||||
\newcommand{\ku}{\mathfrak u}
|
||||
\newcommand{\kz}{\mathfrak z}
|
||||
\DeclareMathOperator{\Ext}{Ext} % Ext functor
|
||||
\DeclareMathOperator{\Tor}{Tor} % Tor functor
|
||||
\newcommand{\gl}{\opname{\mathfrak{gl}}} % frak gl group
|
||||
\renewcommand{\sl}{\opname{\mathfrak{sl}}} % frak sl group chktex 6
|
||||
|
||||
% More script letters etc.
|
||||
\newcommand{\SA}{\mathcal A}
|
||||
\newcommand{\SB}{\mathcal B}
|
||||
\newcommand{\SC}{\mathcal C}
|
||||
\newcommand{\SF}{\mathcal F}
|
||||
\newcommand{\SG}{\mathcal G}
|
||||
\newcommand{\SH}{\mathcal H}
|
||||
\newcommand{\OO}{\mathcal O}
|
||||
|
||||
\newcommand{\SCA}{\mathscr A}
|
||||
\newcommand{\SCB}{\mathscr B}
|
||||
\newcommand{\SCC}{\mathscr C}
|
||||
\newcommand{\SCD}{\mathscr D}
|
||||
\newcommand{\SCE}{\mathscr E}
|
||||
\newcommand{\SCF}{\mathscr F}
|
||||
\newcommand{\SCG}{\mathscr G}
|
||||
\newcommand{\SCH}{\mathscr H}
|
||||
|
||||
% Mathfrak primes
|
||||
\newcommand{\km}{\mathfrak m}
|
||||
\newcommand{\kp}{\mathfrak p}
|
||||
\newcommand{\kq}{\mathfrak q}
|
||||
|
||||
% number sets
|
||||
\newcommand{\RR}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{R}}{\mathbb{R}^{#1}}}}
|
||||
\newcommand{\NN}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{N}}{\mathbb{N}^{#1}}}}
|
||||
\newcommand{\ZZ}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{Z}}{\mathbb{Z}^{#1}}}}
|
||||
\newcommand{\QQ}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{Q}}{\mathbb{Q}^{#1}}}}
|
||||
\newcommand{\CC}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{C}}{\mathbb{C}^{#1}}}}
|
||||
\newcommand{\PP}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{P}}{\mathbb{P}^{#1}}}}
|
||||
\newcommand{\HH}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{H}}{\mathbb{H}^{#1}}}}
|
||||
\newcommand{\FF}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{F}}{\mathbb{F}^{#1}}}}
|
||||
% expected value
|
||||
\newcommand{\EE}{\ensuremath{\mathbb{E}}}
|
||||
\newcommand{\charin}{\text{ char }}
|
||||
\DeclareMathOperator{\sign}{sign}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Inn}{Inn}
|
||||
\DeclareMathOperator{\Syl}{Syl}
|
||||
\DeclareMathOperator{\Gal}{Gal}
|
||||
\DeclareMathOperator{\GL}{GL} % General linear group
|
||||
\DeclareMathOperator{\SL}{SL} % Special linear group
|
||||
|
||||
%---------------------------------------
|
||||
% BlackBoard Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\bbA}{\mathbb{A}} \newcommand{\bbB}{\mathbb{B}}
|
||||
\newcommand{\bbC}{\mathbb{C}} \newcommand{\bbD}{\mathbb{D}}
|
||||
\newcommand{\bbE}{\mathbb{E}} \newcommand{\bbF}{\mathbb{F}}
|
||||
\newcommand{\bbG}{\mathbb{G}} \newcommand{\bbH}{\mathbb{H}}
|
||||
\newcommand{\bbI}{\mathbb{I}} \newcommand{\bbJ}{\mathbb{J}}
|
||||
\newcommand{\bbK}{\mathbb{K}} \newcommand{\bbL}{\mathbb{L}}
|
||||
\newcommand{\bbM}{\mathbb{M}} \newcommand{\bbN}{\mathbb{N}}
|
||||
\newcommand{\bbO}{\mathbb{O}} \newcommand{\bbP}{\mathbb{P}}
|
||||
\newcommand{\bbQ}{\mathbb{Q}} \newcommand{\bbR}{\mathbb{R}}
|
||||
\newcommand{\bbS}{\mathbb{S}} \newcommand{\bbT}{\mathbb{T}}
|
||||
\newcommand{\bbU}{\mathbb{U}} \newcommand{\bbV}{\mathbb{V}}
|
||||
\newcommand{\bbW}{\mathbb{W}} \newcommand{\bbX}{\mathbb{X}}
|
||||
\newcommand{\bbY}{\mathbb{Y}} \newcommand{\bbZ}{\mathbb{Z}}
|
||||
|
||||
%---------------------------------------
|
||||
% MathCal Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\mcA}{\mathcal{A}} \newcommand{\mcB}{\mathcal{B}}
|
||||
\newcommand{\mcC}{\mathcal{C}} \newcommand{\mcD}{\mathcal{D}}
|
||||
\newcommand{\mcE}{\mathcal{E}} \newcommand{\mcF}{\mathcal{F}}
|
||||
\newcommand{\mcG}{\mathcal{G}} \newcommand{\mcH}{\mathcal{H}}
|
||||
\newcommand{\mcI}{\mathcal{I}} \newcommand{\mcJ}{\mathcal{J}}
|
||||
\newcommand{\mcK}{\mathcal{K}} \newcommand{\mcL}{\mathcal{L}}
|
||||
\newcommand{\mcM}{\mathcal{M}} \newcommand{\mcN}{\mathcal{N}}
|
||||
\newcommand{\mcO}{\mathcal{O}} \newcommand{\mcP}{\mathcal{P}}
|
||||
\newcommand{\mcQ}{\mathcal{Q}} \newcommand{\mcR}{\mathcal{R}}
|
||||
\newcommand{\mcS}{\mathcal{S}} \newcommand{\mcT}{\mathcal{T}}
|
||||
\newcommand{\mcU}{\mathcal{U}} \newcommand{\mcV}{\mathcal{V}}
|
||||
\newcommand{\mcW}{\mathcal{W}} \newcommand{\mcX}{\mathcal{X}}
|
||||
\newcommand{\mcY}{\mathcal{Y}} \newcommand{\mcZ}{\mathcal{Z}}
|
||||
|
||||
|
||||
%---------------------------------------
|
||||
% Bold Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\bmA}{\boldsymbol{A}} \newcommand{\bmB}{\boldsymbol{B}}
|
||||
\newcommand{\bmC}{\boldsymbol{C}} \newcommand{\bmD}{\boldsymbol{D}}
|
||||
\newcommand{\bmE}{\boldsymbol{E}} \newcommand{\bmF}{\boldsymbol{F}}
|
||||
\newcommand{\bmG}{\boldsymbol{G}} \newcommand{\bmH}{\boldsymbol{H}}
|
||||
\newcommand{\bmI}{\boldsymbol{I}} \newcommand{\bmJ}{\boldsymbol{J}}
|
||||
\newcommand{\bmK}{\boldsymbol{K}} \newcommand{\bmL}{\boldsymbol{L}}
|
||||
\newcommand{\bmM}{\boldsymbol{M}} \newcommand{\bmN}{\boldsymbol{N}}
|
||||
\newcommand{\bmO}{\boldsymbol{O}} \newcommand{\bmP}{\boldsymbol{P}}
|
||||
\newcommand{\bmQ}{\boldsymbol{Q}} \newcommand{\bmR}{\boldsymbol{R}}
|
||||
\newcommand{\bmS}{\boldsymbol{S}} \newcommand{\bmT}{\boldsymbol{T}}
|
||||
\newcommand{\bmU}{\boldsymbol{U}} \newcommand{\bmV}{\boldsymbol{V}}
|
||||
\newcommand{\bmW}{\boldsymbol{W}} \newcommand{\bmX}{\boldsymbol{X}}
|
||||
\newcommand{\bmY}{\boldsymbol{Y}} \newcommand{\bmZ}{\boldsymbol{Z}}
|
||||
%Small Letters
|
||||
\newcommand{\bma}{\boldsymbol{a}} \newcommand{\bmb}{\boldsymbol{b}}
|
||||
\newcommand{\bmc}{\boldsymbol{c}} \newcommand{\bmd}{\boldsymbol{d}}
|
||||
\newcommand{\bme}{\boldsymbol{e}} \newcommand{\bmf}{\boldsymbol{f}}
|
||||
\newcommand{\bmg}{\boldsymbol{g}} \newcommand{\bmh}{\boldsymbol{h}}
|
||||
\newcommand{\bmi}{\boldsymbol{i}} \newcommand{\bmj}{\boldsymbol{j}}
|
||||
\newcommand{\bmk}{\boldsymbol{k}} \newcommand{\bml}{\boldsymbol{l}}
|
||||
\newcommand{\bmm}{\boldsymbol{m}} \newcommand{\bmn}{\boldsymbol{n}}
|
||||
\newcommand{\bmo}{\boldsymbol{o}} \newcommand{\bmp}{\boldsymbol{p}}
|
||||
\newcommand{\bmq}{\boldsymbol{q}} \newcommand{\bmr}{\boldsymbol{r}}
|
||||
\newcommand{\bms}{\boldsymbol{s}} \newcommand{\bmt}{\boldsymbol{t}}
|
||||
\newcommand{\bmu}{\boldsymbol{u}} \newcommand{\bmv}{\boldsymbol{v}}
|
||||
\newcommand{\bmw}{\boldsymbol{w}} \newcommand{\bmx}{\boldsymbol{x}}
|
||||
\newcommand{\bmy}{\boldsymbol{y}} \newcommand{\bmz}{\boldsymbol{z}}
|
||||
|
||||
%---------------------------------------
|
||||
% Scr Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
\newcommand{\sA}{{\mathscr{A}}} \newcommand{\sB}{{\mathscr{B}}}
|
||||
\newcommand{\sC}{{\mathscr{C}}} \newcommand{\sD}{{\mathscr{D}}}
|
||||
\newcommand{\sE}{{\mathscr{E}}} \newcommand{\sF}{{\mathscr{F}}}
|
||||
\newcommand{\sG}{{\mathscr{G}}} \newcommand{\sH}{{\mathscr{H}}}
|
||||
\newcommand{\sI}{{\mathscr{I}}} \newcommand{\sJ}{{\mathscr{J}}}
|
||||
\newcommand{\sK}{{\mathscr{K}}} \newcommand{\sL}{{\mathscr{L}}}
|
||||
\newcommand{\sM}{{\mathscr{M}}} \newcommand{\sN}{{\mathscr{N}}}
|
||||
\newcommand{\sO}{{\mathscr{O}}} \newcommand{\sP}{{\mathscr{P}}}
|
||||
\newcommand{\sQ}{{\mathscr{Q}}} \newcommand{\sR}{{\mathscr{R}}}
|
||||
\newcommand{\sS}{{\mathscr{S}}} \newcommand{\sT}{{\mathscr{T}}}
|
||||
\newcommand{\sU}{{\mathscr{U}}} \newcommand{\sV}{{\mathscr{V}}}
|
||||
\newcommand{\sW}{{\mathscr{W}}} \newcommand{\sX}{{\mathscr{X}}}
|
||||
\newcommand{\sY}{{\mathscr{Y}}} \newcommand{\sZ}{{\mathscr{Z}}}
|
||||
|
||||
|
||||
%---------------------------------------
|
||||
% Math Fraktur Font
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\mfA}{\mathfrak{A}} \newcommand{\mfB}{\mathfrak{B}}
|
||||
\newcommand{\mfC}{\mathfrak{C}} \newcommand{\mfD}{\mathfrak{D}}
|
||||
\newcommand{\mfE}{\mathfrak{E}} \newcommand{\mfF}{\mathfrak{F}}
|
||||
\newcommand{\mfG}{\mathfrak{G}} \newcommand{\mfH}{\mathfrak{H}}
|
||||
\newcommand{\mfI}{\mathfrak{I}} \newcommand{\mfJ}{\mathfrak{J}}
|
||||
\newcommand{\mfK}{\mathfrak{K}} \newcommand{\mfL}{\mathfrak{L}}
|
||||
\newcommand{\mfM}{\mathfrak{M}} \newcommand{\mfN}{\mathfrak{N}}
|
||||
\newcommand{\mfO}{\mathfrak{O}} \newcommand{\mfP}{\mathfrak{P}}
|
||||
\newcommand{\mfQ}{\mathfrak{Q}} \newcommand{\mfR}{\mathfrak{R}}
|
||||
\newcommand{\mfS}{\mathfrak{S}} \newcommand{\mfT}{\mathfrak{T}}
|
||||
\newcommand{\mfU}{\mathfrak{U}} \newcommand{\mfV}{\mathfrak{V}}
|
||||
\newcommand{\mfW}{\mathfrak{W}} \newcommand{\mfX}{\mathfrak{X}}
|
||||
\newcommand{\mfY}{\mathfrak{Y}} \newcommand{\mfZ}{\mathfrak{Z}}
|
||||
%Small Letters
|
||||
\newcommand{\mfa}{\mathfrak{a}} \newcommand{\mfb}{\mathfrak{b}}
|
||||
\newcommand{\mfc}{\mathfrak{c}} \newcommand{\mfd}{\mathfrak{d}}
|
||||
\newcommand{\mfe}{\mathfrak{e}} \newcommand{\mff}{\mathfrak{f}}
|
||||
\newcommand{\mfg}{\mathfrak{g}} \newcommand{\mfh}{\mathfrak{h}}
|
||||
\newcommand{\mfi}{\mathfrak{i}} \newcommand{\mfj}{\mathfrak{j}}
|
||||
\newcommand{\mfk}{\mathfrak{k}} \newcommand{\mfl}{\mathfrak{l}}
|
||||
\newcommand{\mfm}{\mathfrak{m}} \newcommand{\mfn}{\mathfrak{n}}
|
||||
\newcommand{\mfo}{\mathfrak{o}} \newcommand{\mfp}{\mathfrak{p}}
|
||||
\newcommand{\mfq}{\mathfrak{q}} \newcommand{\mfr}{\mathfrak{r}}
|
||||
\newcommand{\mfs}{\mathfrak{s}} \newcommand{\mft}{\mathfrak{t}}
|
||||
\newcommand{\mfu}{\mathfrak{u}} \newcommand{\mfv}{\mathfrak{v}}
|
||||
\newcommand{\mfw}{\mathfrak{w}} \newcommand{\mfx}{\mathfrak{x}}
|
||||
\newcommand{\mfy}{\mathfrak{y}} \newcommand{\mfz}{\mathfrak{z}}
|
||||
88
7th-Semester-Fall-2024/ECOMMS/notes/macros.tex
Normal file
88
7th-Semester-Fall-2024/ECOMMS/notes/macros.tex
Normal file
@ -0,0 +1,88 @@
|
||||
%From M275 "Topology" at SJSU
|
||||
\newcommand{\id}{\mathrm{id}}
|
||||
\newcommand{\taking}[1]{\xrightarrow{#1}}
|
||||
\newcommand{\inv}{^{-1}}
|
||||
|
||||
%From M170 "Introduction to Graph Theory" at SJSU
|
||||
\DeclareMathOperator{\diam}{diam}
|
||||
\DeclareMathOperator{\ord}{ord}
|
||||
\newcommand{\defeq}{\overset{\mathrm{def}}{=}}
|
||||
|
||||
%From the USAMO .tex files
|
||||
\newcommand{\ts}{\textsuperscript}
|
||||
\newcommand{\dg}{^\circ}
|
||||
\newcommand{\ii}{\item}
|
||||
|
||||
% % From Math 55 and Math 145 at Harvard
|
||||
% \newenvironment{subproof}[1][Proof]{%
|
||||
% \begin{proof}[#1] \renewcommand{\qedsymbol}{$\blacksquare$}}%
|
||||
% {\end{proof}}
|
||||
|
||||
\newcommand{\liff}{\leftrightarrow}
|
||||
\newcommand{\lthen}{\rightarrow}
|
||||
\newcommand{\opname}{\operatorname}
|
||||
\newcommand{\surjto}{\twoheadrightarrow}
|
||||
\newcommand{\injto}{\hookrightarrow}
|
||||
\newcommand{\On}{\mathrm{On}} % ordinals
|
||||
\DeclareMathOperator{\img}{im} % Image
|
||||
\DeclareMathOperator{\Img}{Im} % Image
|
||||
\DeclareMathOperator{\coker}{coker} % Cokernel
|
||||
\DeclareMathOperator{\Coker}{Coker} % Cokernel
|
||||
\DeclareMathOperator{\Ker}{Ker} % Kernel
|
||||
\DeclareMathOperator{\rank}{rank}
|
||||
\DeclareMathOperator{\Spec}{Spec} % spectrum
|
||||
\DeclareMathOperator{\Tr}{Tr} % trace
|
||||
\DeclareMathOperator{\pr}{pr} % projection
|
||||
\DeclareMathOperator{\ext}{ext} % extension
|
||||
\DeclareMathOperator{\pred}{pred} % predecessor
|
||||
\DeclareMathOperator{\dom}{dom} % domain
|
||||
\DeclareMathOperator{\ran}{ran} % range
|
||||
\DeclareMathOperator{\Hom}{Hom} % homomorphism
|
||||
\DeclareMathOperator{\Mor}{Mor} % morphisms
|
||||
\DeclareMathOperator{\End}{End} % endomorphism
|
||||
|
||||
\newcommand{\eps}{\epsilon}
|
||||
\newcommand{\veps}{\varepsilon}
|
||||
\newcommand{\ol}{\overline}
|
||||
\newcommand{\ul}{\underline}
|
||||
\newcommand{\wt}{\widetilde}
|
||||
\newcommand{\wh}{\widehat}
|
||||
\newcommand{\vocab}[1]{\textbf{\color{blue} #1}}
|
||||
\providecommand{\half}{\frac{1}{2}}
|
||||
\newcommand{\dang}{\measuredangle} %% Directed angle
|
||||
\newcommand{\ray}[1]{\overrightarrow{#1}}
|
||||
\newcommand{\seg}[1]{\overline{#1}}
|
||||
\newcommand{\arc}[1]{\wideparen{#1}}
|
||||
\DeclareMathOperator{\cis}{cis}
|
||||
\DeclareMathOperator*{\lcm}{lcm}
|
||||
\DeclareMathOperator*{\argmin}{arg min}
|
||||
\DeclareMathOperator*{\argmax}{arg max}
|
||||
\newcommand{\cycsum}{\sum_{\mathrm{cyc}}}
|
||||
\newcommand{\symsum}{\sum_{\mathrm{sym}}}
|
||||
\newcommand{\cycprod}{\prod_{\mathrm{cyc}}}
|
||||
\newcommand{\symprod}{\prod_{\mathrm{sym}}}
|
||||
\newcommand{\Qed}{\begin{flushright}\qed\end{flushright}}
|
||||
\newcommand{\parinn}{\setlength{\parindent}{1cm}}
|
||||
\newcommand{\parinf}{\setlength{\parindent}{0cm}}
|
||||
% \newcommand{\norm}{\|\cdot\|}
|
||||
\newcommand{\inorm}{\norm_{\infty}}
|
||||
\newcommand{\opensets}{\{V_{\alpha}\}_{\alpha\in I}}
|
||||
\newcommand{\oset}{V_{\alpha}}
|
||||
\newcommand{\opset}[1]{V_{\alpha_{#1}}}
|
||||
\newcommand{\lub}{\text{lub}}
|
||||
\newcommand{\del}[2]{\frac{\partial #1}{\partial #2}}
|
||||
\newcommand{\Del}[3]{\frac{\partial^{#1} #2}{\partial^{#1} #3}}
|
||||
\newcommand{\deld}[2]{\dfrac{\partial #1}{\partial #2}}
|
||||
\newcommand{\Deld}[3]{\dfrac{\partial^{#1} #2}{\partial^{#1} #3}}
|
||||
\newcommand{\lm}{\lambda}
|
||||
\newcommand{\uin}{\mathbin{\rotatebox[origin=c]{90}{$\in$}}}
|
||||
\newcommand{\usubset}{\mathbin{\rotatebox[origin=c]{90}{$\subset$}}}
|
||||
\newcommand{\lt}{\left}
|
||||
\newcommand{\rt}{\right}
|
||||
\newcommand{\bs}[1]{\boldsymbol{#1}}
|
||||
\newcommand{\exs}{\exists}
|
||||
\newcommand{\st}{\strut}
|
||||
\newcommand{\dps}[1]{\displaystyle{#1}}
|
||||
|
||||
\newcommand{\sol}{\setlength{\parindent}{0cm}\textbf{\textit{Solution:}}\setlength{\parindent}{1cm} }
|
||||
\newcommand{\solve}[1]{\setlength{\parindent}{0cm}\textbf{\textit{Solution: }}\setlength{\parindent}{1cm}#1 \Qed}
|
||||
780
7th-Semester-Fall-2024/ECOMMS/notes/preamble.tex
Normal file
780
7th-Semester-Fall-2024/ECOMMS/notes/preamble.tex
Normal file
@ -0,0 +1,780 @@
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% PACKAGE IMPORTS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
\usepackage[tmargin=2cm,rmargin=1in,lmargin=1in,margin=0.85in,bmargin=2cm,footskip=.2in]{geometry}
|
||||
\usepackage{amsmath,amsfonts,amsthm,amssymb,mathtools}
|
||||
\usepackage{listings}
|
||||
\usepackage{circuitikz}
|
||||
\usepackage[varbb]{newpxmath}
|
||||
\usepackage{xfrac}
|
||||
\usepackage[makeroom]{cancel}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{bookmark}
|
||||
\usepackage{enumitem}
|
||||
\usepackage{hyperref,theoremref}
|
||||
\hypersetup{
|
||||
pdftitle={Assignment},
|
||||
colorlinks=true, linkcolor=doc!90,
|
||||
bookmarksnumbered=true,
|
||||
bookmarksopen=true
|
||||
}
|
||||
\usepackage[most,many,breakable]{tcolorbox}
|
||||
\usepackage{xcolor}
|
||||
\usepackage{varwidth}
|
||||
\usepackage{varwidth}
|
||||
\usepackage{etoolbox}
|
||||
%\usepackage{authblk}
|
||||
\usepackage{nameref}
|
||||
\usepackage{multicol,array}
|
||||
\usepackage{tikz-cd}
|
||||
\usepackage[ruled,vlined,linesnumbered]{algorithm2e}
|
||||
\usepackage{comment} % enables the use of multi-line comments (\ifx \fi)
|
||||
\usepackage{import}
|
||||
\usepackage{xifthen}
|
||||
\usepackage{pdfpages}
|
||||
\usepackage{transparent}
|
||||
|
||||
\newcommand\mycommfont[1]{\footnotesize\ttfamily\textcolor{blue}{#1}}
|
||||
\SetCommentSty{mycommfont}
|
||||
\newcommand{\incfig}[1]{%
|
||||
\def\svgwidth{\columnwidth}
|
||||
\import{./figures/}{#1.pdf_tex}
|
||||
}
|
||||
|
||||
\usepackage{tikzsymbols}
|
||||
\renewcommand\qedsymbol{$\Laughey$}
|
||||
|
||||
|
||||
%\usepackage{import}
|
||||
%\usepackage{xifthen}
|
||||
%\usepackage{pdfpages}
|
||||
%\usepackage{transparent}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% SELF MADE COLORS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
|
||||
\definecolor{myg}{RGB}{56, 140, 70}
|
||||
\definecolor{myb}{RGB}{45, 111, 177}
|
||||
\definecolor{myr}{RGB}{199, 68, 64}
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||||
\definecolor{mytheorembg}{HTML}{F2F2F9}
|
||||
\definecolor{mytheoremfr}{HTML}{00007B}
|
||||
\definecolor{mylenmabg}{HTML}{FFFAF8}
|
||||
\definecolor{mylenmafr}{HTML}{983b0f}
|
||||
\definecolor{mypropbg}{HTML}{f2fbfc}
|
||||
\definecolor{mypropfr}{HTML}{191971}
|
||||
\definecolor{myexamplebg}{HTML}{F2FBF8}
|
||||
\definecolor{myexamplefr}{HTML}{88D6D1}
|
||||
\definecolor{myexampleti}{HTML}{2A7F7F}
|
||||
\definecolor{mydefinitbg}{HTML}{E5E5FF}
|
||||
\definecolor{mydefinitfr}{HTML}{3F3FA3}
|
||||
\definecolor{notesgreen}{RGB}{0,162,0}
|
||||
\definecolor{myp}{RGB}{197, 92, 212}
|
||||
\definecolor{mygr}{HTML}{2C3338}
|
||||
\definecolor{myred}{RGB}{127,0,0}
|
||||
\definecolor{myyellow}{RGB}{169,121,69}
|
||||
\definecolor{myexercisebg}{HTML}{F2FBF8}
|
||||
\definecolor{myexercisefg}{HTML}{88D6D1}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% TCOLORBOX SETUPS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\setlength{\parindent}{1cm}
|
||||
%================================
|
||||
% THEOREM BOX
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Theorem}{Theorem}
|
||||
{%
|
||||
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|
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|
||||
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|
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separator sign none,
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|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{theorem}{Theorem}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
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|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
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|
||||
sharp corners,
|
||||
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|
||||
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|
||||
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|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mytheoremfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcolorbox{Theoremcon}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = mytheorembg
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{mytheoremfr}
|
||||
,sharp corners
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
}
|
||||
|
||||
%================================
|
||||
% Corollery
|
||||
%================================
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Corollary}{Corollary}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = myp!10
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{myp!85!black}
|
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,sharp corners
|
||||
,detach title
|
||||
,before upper = \tcbtitle\par\smallskip
|
||||
,coltitle = myp!85!black
|
||||
,fonttitle = \bfseries\sffamily
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,segmentation style={solid, myp!85!black}
|
||||
}
|
||||
{th}
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{corollary}{Corollary}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = myp!10
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{myp!85!black}
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper = \tcbtitle\par\smallskip
|
||||
,coltitle = myp!85!black
|
||||
,fonttitle = \bfseries\sffamily
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,segmentation style={solid, myp!85!black}
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% LENMA
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Review}{Review}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mylenmabg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mylenmafr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
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|
||||
fonttitle = \bfseries\sffamily,
|
||||
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|
||||
separator sign none,
|
||||
segmentation style={solid, mylenmafr},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{review}{Review}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mylenmabg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mylenmafr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mylenmafr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mylenmafr},
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% METHOD
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Method}{Method}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
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|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
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|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mypropfr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
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|
||||
separator sign none,
|
||||
segmentation style={solid, mypropfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{method}{Method}
|
||||
{%
|
||||
enhanced,
|
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breakable,
|
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|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
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|
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
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|
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|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% CLAIM
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{claim}{Claim}
|
||||
{%
|
||||
enhanced
|
||||
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|
||||
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|
||||
,frame hidden
|
||||
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|
||||
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|
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,sharp corners
|
||||
,detach title
|
||||
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|
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|
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|
||||
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|
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|
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|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Exercise
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Exercise}{Exercise}
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{exercise}{Exercise}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
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|
||||
frame hidden,
|
||||
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|
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|
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|
||||
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|
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|
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|
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|
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|
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|
||||
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|
||||
{th}
|
||||
|
||||
%================================
|
||||
% EXAMPLE BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Example}{Example}
|
||||
{%
|
||||
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|
||||
,breakable
|
||||
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|
||||
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|
||||
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|
||||
,sharp corners
|
||||
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|
||||
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|
||||
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|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
\newtcbtheorem[number within=chapter]{example}{Example}
|
||||
{%
|
||||
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|
||||
,breakable
|
||||
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|
||||
,coltitle = myexampleti
|
||||
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|
||||
,sharp corners
|
||||
,detach title
|
||||
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|
||||
,fonttitle = \bfseries
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
%================================
|
||||
% DEFINITION BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Definition}{Definition}{enhanced,
|
||||
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|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
\newtcbtheorem[number within=chapter]{definition}{Definition}{enhanced,
|
||||
before skip=2mm,after skip=2mm, colback=red!5,colframe=red!80!black,boxrule=0.5mm,
|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Solution BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{question}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=myb!80!black,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
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|
||||
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|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% SOLUTION BOX
|
||||
%================================
|
||||
|
||||
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|
||||
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|
||||
breakable,
|
||||
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|
||||
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|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
title=Solution,
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
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|
||||
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|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% Question BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{qstion}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=mygr,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
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|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
\newtcbtheorem[number within=chapter]{wconc}{Wrong Concept}{
|
||||
breakable,
|
||||
enhanced,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
attach boxed title to top left={},
|
||||
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|
||||
enhanced,
|
||||
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|
||||
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|
||||
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|
||||
interior style={fill=myr}
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% NOTE BOX
|
||||
%================================
|
||||
|
||||
\usetikzlibrary{arrows,calc,shadows.blur}
|
||||
\tcbuselibrary{skins}
|
||||
\newtcolorbox{note}[1][]{%
|
||||
enhanced jigsaw,
|
||||
colback=gray!20!white,%
|
||||
colframe=gray!80!black,
|
||||
size=small,
|
||||
boxrule=1pt,
|
||||
title=\textbf{Note:},
|
||||
halign title=flush center,
|
||||
coltitle=black,
|
||||
breakable,
|
||||
drop shadow=black!50!white,
|
||||
attach boxed title to top left={xshift=1cm,yshift=-\tcboxedtitleheight/2,yshifttext=-\tcboxedtitleheight/2},
|
||||
minipage boxed title=1.5cm,
|
||||
boxed title style={%
|
||||
colback=white,
|
||||
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|
||||
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|
||||
boxsep=2pt,
|
||||
underlay={%
|
||||
\coordinate (dotA) at ($(interior.west) + (-0.5pt,0)$);
|
||||
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|
||||
\begin{scope}
|
||||
\clip (interior.north west) rectangle ([xshift=3ex]interior.east);
|
||||
\filldraw [white, blur shadow={shadow opacity=60, shadow yshift=-.75ex}, rounded corners=2pt] (interior.north west) rectangle (interior.south east);
|
||||
\end{scope}
|
||||
\begin{scope}[gray!80!black]
|
||||
\fill (dotA) circle (2pt);
|
||||
\fill (dotB) circle (2pt);
|
||||
\end{scope}
|
||||
},
|
||||
},
|
||||
#1,
|
||||
}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% SELF MADE COMMANDS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
\newcommand{\thm}[2]{\begin{Theorem}{#1}{}#2\end{Theorem}}
|
||||
\newcommand{\cor}[2]{\begin{Corollary}{#1}{}#2\end{Corollary}}
|
||||
\newcommand{\rvw}[2]{\begin{Review}{#1}{}#2\end{Review}}
|
||||
\newcommand{\mthd}[2]{\begin{Method}{#1}{}#2\end{Method}}
|
||||
\newcommand{\clm}[3]{\begin{claim}{#1}{#2}#3\end{claim}}
|
||||
\newcommand{\wc}[2]{\begin{wconc}{#1}{}\setlength{\parindent}{1cm}#2\end{wconc}}
|
||||
\newcommand{\thmcon}[1]{\begin{Theoremcon}{#1}\end{Theoremcon}}
|
||||
\newcommand{\ex}[2]{\begin{Example}{#1}{}#2\end{Example}}
|
||||
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|
||||
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|
||||
\newcommand{\qs}[2]{\begin{question}{#1}{}#2\end{question}}
|
||||
\newcommand{\pf}[2]{\begin{myproof}[#1]#2\end{myproof}}
|
||||
\newcommand{\nt}[1]{\begin{note}#1\end{note}}
|
||||
|
||||
\newcommand*\circled[1]{\tikz[baseline=(char.base)]{
|
||||
\node[shape=circle,draw,inner sep=1pt] (char) {#1};}}
|
||||
\newcommand\getcurrentref[1]{%
|
||||
\ifnumequal{\value{#1}}{0}
|
||||
{??}
|
||||
{\the\value{#1}}%
|
||||
}
|
||||
\newcommand{\getCurrentSectionNumber}{\getcurrentref{section}}
|
||||
\newenvironment{myproof}[1][\proofname]{%
|
||||
\proof[\bfseries #1: ]%
|
||||
}{\endproof}
|
||||
|
||||
\newcommand{\mclm}[2]{\begin{myclaim}[#1]#2\end{myclaim}}
|
||||
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|
||||
|
||||
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|
||||
|
||||
\makeatletter
|
||||
\newcommand{\setword}[2]{%
|
||||
\phantomsection
|
||||
#1\def\@currentlabel{\unexpanded{#1}}\label{#2}%
|
||||
}
|
||||
\makeatother
|
||||
|
||||
|
||||
|
||||
|
||||
\tikzset{
|
||||
symbol/.style={
|
||||
draw=none,
|
||||
every to/.append style={
|
||||
edge node={node [sloped, allow upside down, auto=false]{$#1$}}}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
% deliminators
|
||||
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}
|
||||
\DeclarePairedDelimiter{\norm}{\lVert}{\rVert}
|
||||
|
||||
\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
|
||||
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
|
||||
\DeclarePairedDelimiter{\round}{\lfloor}{\rceil}
|
||||
|
||||
\newsavebox\diffdbox
|
||||
\newcommand{\slantedromand}{{\mathpalette\makesl{d}}}
|
||||
\newcommand{\makesl}[2]{%
|
||||
\begingroup
|
||||
\sbox{\diffdbox}{$\mathsurround=0pt#1\mathrm{#2}$}%
|
||||
\pdfsave
|
||||
\pdfsetmatrix{1 0 0.2 1}%
|
||||
\rlap{\usebox{\diffdbox}}%
|
||||
\pdfrestore
|
||||
\hskip\wd\diffdbox
|
||||
\endgroup
|
||||
}
|
||||
\newcommand{\dd}[1][]{\ensuremath{\mathop{}\!\ifstrempty{#1}{%
|
||||
\slantedromand\@ifnextchar^{\hspace{0.2ex}}{\hspace{0.1ex}}}%
|
||||
{\slantedromand\hspace{0.2ex}^{#1}}}}
|
||||
\ProvideDocumentCommand\dv{o m g}{%
|
||||
\ensuremath{%
|
||||
\IfValueTF{#3}{%
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||||
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|
||||
\frac{\dd #2}{\dd #3}%
|
||||
}{%
|
||||
\frac{\dd^{#1} #2}{\dd #3^{#1}}%
|
||||
}%
|
||||
}{%
|
||||
\IfNoValueTF{#1}{%
|
||||
\frac{\dd}{\dd #2}%
|
||||
}{%
|
||||
\frac{\dd^{#1}}{\dd #2^{#1}}%
|
||||
}%
|
||||
}%
|
||||
}%
|
||||
}
|
||||
\providecommand*{\pdv}[3][]{\frac{\partial^{#1}#2}{\partial#3^{#1}}}
|
||||
% - others
|
||||
\DeclareMathOperator{\Lap}{\mathcal{L}}
|
||||
\DeclareMathOperator{\Var}{Var} % varience
|
||||
\DeclareMathOperator{\Cov}{Cov} % covarience
|
||||
\DeclareMathOperator{\E}{E} % expected
|
||||
|
||||
% Since the amsthm package isn't loaded
|
||||
|
||||
% I prefer the slanted \leq
|
||||
\let\oldleq\leq % save them in case they're every wanted
|
||||
\let\oldgeq\geq
|
||||
\renewcommand{\leq}{\leqslant}
|
||||
\renewcommand{\geq}{\geqslant}
|
||||
|
||||
% % redefine matrix env to allow for alignment, use r as default
|
||||
% \renewcommand*\env@matrix[1][r]{\hskip -\arraycolsep
|
||||
% \let\@ifnextchar\new@ifnextchar
|
||||
% \array{*\c@MaxMatrixCols #1}}
|
||||
|
||||
|
||||
%\usepackage{framed}
|
||||
%\usepackage{titletoc}
|
||||
%\usepackage{etoolbox}
|
||||
%\usepackage{lmodern}
|
||||
|
||||
|
||||
%\patchcmd{\tableofcontents}{\contentsname}{\sffamily\contentsname}{}{}
|
||||
|
||||
%\renewenvironment{leftbar}
|
||||
%{\def\FrameCommand{\hspace{6em}%
|
||||
% {\color{myyellow}\vrule width 2pt depth 6pt}\hspace{1em}}%
|
||||
% \MakeFramed{\parshape 1 0cm \dimexpr\textwidth-6em\relax\FrameRestore}\vskip2pt%
|
||||
%}
|
||||
%{\endMakeFramed}
|
||||
|
||||
%\titlecontents{chapter}
|
||||
%[0em]{\vspace*{2\baselineskip}}
|
||||
%{\parbox{4.5em}{%
|
||||
% \hfill\Huge\sffamily\bfseries\color{myred}\thecontentspage}%
|
||||
% \vspace*{-2.3\baselineskip}\leftbar\textsc{\small\chaptername~\thecontentslabel}\\\sffamily}
|
||||
%{}{\endleftbar}
|
||||
%\titlecontents{section}
|
||||
%[8.4em]
|
||||
%{\sffamily\contentslabel{3em}}{}{}
|
||||
%{\hspace{0.5em}\nobreak\itshape\color{myred}\contentspage}
|
||||
%\titlecontents{subsection}
|
||||
%[8.4em]
|
||||
%{\sffamily\contentslabel{3em}}{}{}
|
||||
%{\hspace{0.5em}\nobreak\itshape\color{myred}\contentspage}
|
||||
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% TABLE OF CONTENTS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\usepackage{tikz}
|
||||
\definecolor{doc}{RGB}{0,60,110}
|
||||
\usepackage{titletoc}
|
||||
\contentsmargin{0cm}
|
||||
\titlecontents{chapter}[3.7pc]
|
||||
{\addvspace{30pt}%
|
||||
\begin{tikzpicture}[remember picture, overlay]%
|
||||
\draw[fill=doc!60,draw=doc!60] (-7,-.1) rectangle (-0.9,.5);%
|
||||
\pgftext[left,x=-3.5cm,y=0.2cm]{\color{white}\Large\sc\bfseries Chapter\ \thecontentslabel};%
|
||||
\end{tikzpicture}\color{doc!60}\large\sc\bfseries}%
|
||||
{}
|
||||
{}
|
||||
{\;\titlerule\;\large\sc\bfseries Page \thecontentspage
|
||||
\begin{tikzpicture}[remember picture, overlay]
|
||||
\draw[fill=doc!60,draw=doc!60] (2pt,0) rectangle (4,0.1pt);
|
||||
\end{tikzpicture}}%
|
||||
\titlecontents{section}[3.7pc]
|
||||
{\addvspace{2pt}}
|
||||
{\contentslabel[\thecontentslabel]{2pc}}
|
||||
{}
|
||||
{\hfill\small \thecontentspage}
|
||||
[]
|
||||
\titlecontents*{subsection}[3.7pc]
|
||||
{\addvspace{-1pt}\small}
|
||||
{}
|
||||
{}
|
||||
{\ --- \small\thecontentspage}
|
||||
[ \textbullet\ ][]
|
||||
|
||||
\makeatletter
|
||||
\renewcommand{\tableofcontents}{%
|
||||
\chapter*{%
|
||||
\vspace*{-20\p@}%
|
||||
\begin{tikzpicture}[remember picture, overlay]%
|
||||
\pgftext[right,x=15cm,y=0.2cm]{\color{doc!60}\Huge\sc\bfseries \contentsname};%
|
||||
\draw[fill=doc!60,draw=doc!60] (13,-.75) rectangle (20,1);%
|
||||
\clip (13,-.75) rectangle (20,1);
|
||||
\pgftext[right,x=15cm,y=0.2cm]{\color{white}\Huge\sc\bfseries \contentsname};%
|
||||
\end{tikzpicture}}%
|
||||
\@starttoc{toc}}
|
||||
\makeatother
|
||||
|
||||
Binary file not shown.
65
7th-Semester-Fall-2024/Ethical-Hacking/notes/citations.bib
Normal file
65
7th-Semester-Fall-2024/Ethical-Hacking/notes/citations.bib
Normal file
@ -0,0 +1,65 @@
|
||||
@misc{xie2021symmetric,
|
||||
title={On Symmetric Invertible Binary Pairing Functions},
|
||||
author={Jianrui Xie},
|
||||
year={2021},
|
||||
volume={2105.10752},
|
||||
journal={arXiv},
|
||||
primaryClass={math.CO}
|
||||
}
|
||||
|
||||
@misc{moosavidezfooli2016deepfool,
|
||||
title={DeepFool: a simple and accurate method to fool deep neural networks},
|
||||
author={Seyed-Mohsen Moosavi-Dezfooli and Alhussein Fawzi and Pascal Frossard},
|
||||
year={2016},
|
||||
volume={1511.04599},
|
||||
journal={arXiv},
|
||||
primaryClass={cs.LG}
|
||||
}
|
||||
|
||||
@misc{goodfellow2015explaining,
|
||||
title={Explaining and Harnessing Adversarial Examples},
|
||||
author={Ian J. Goodfellow and Jonathon Shlens and Christian Szegedy},
|
||||
year={2015},
|
||||
volume={1412.6572},
|
||||
journal={arXiv},
|
||||
primaryClass={stat.ML}
|
||||
}
|
||||
|
||||
@article{bartyzel2015signal,
|
||||
author = {Bartyzel, Krzysztof},
|
||||
year = {2015},
|
||||
month = {07},
|
||||
pages = {1-8},
|
||||
title = {Adaptive Kuwahara filter},
|
||||
volume = {10},
|
||||
journal = {Signal, Image and Video Processing},
|
||||
doi = {10.1007/s11760-015-0791-3}
|
||||
}
|
||||
|
||||
@misc{carlini2017evaluating,
|
||||
title={Towards Evaluating the Robustness of Neural Networks},
|
||||
author={Nicholas Carlini and David Wagner},
|
||||
year={2017},
|
||||
volume={1608.04644},
|
||||
journal={arXiv},
|
||||
primaryClass={cs.CR}
|
||||
}
|
||||
|
||||
@misc{xie2019feature,
|
||||
title={Feature Denoising for Improving Adversarial Robustness},
|
||||
author={Cihang Xie and Yuxin Wu and Laurens van der Maaten and Alan Yuille and Kaiming He},
|
||||
year={2019},
|
||||
volume={1812.03411},
|
||||
journal={arXiv},
|
||||
primaryClass={cs.CV}
|
||||
}
|
||||
|
||||
@article{nair2019robust,
|
||||
title={A robust anisotropic diffusion filter with low arithmetic complexity for images},
|
||||
author={Nair, Resmi R and David, Ebenezer and Rajagopal, Sivakumar},
|
||||
journal={EURASIP Journal on Image and Video Processing},
|
||||
volume={2019},
|
||||
pages={1--14},
|
||||
year={2019},
|
||||
publisher={Springer}
|
||||
}
|
||||
@ -0,0 +1,22 @@
|
||||
\relax
|
||||
\providecommand{\transparent@use}[1]{}
|
||||
\providecommand\hyper@newdestlabel[2]{}
|
||||
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
|
||||
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
|
||||
\global\let\oldnewlabel\newlabel
|
||||
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
|
||||
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
|
||||
\AtEndDocument{\ifx\hyper@anchor\@undefined
|
||||
\let\newlabel\oldnewlabel
|
||||
\fi}
|
||||
\fi}
|
||||
\global\let\hyper@last\relax
|
||||
\gdef\HyperFirstAtBeginDocument#1{#1}
|
||||
\providecommand\HyField@AuxAddToFields[1]{}
|
||||
\providecommand\HyField@AuxAddToCoFields[2]{}
|
||||
\providecommand\BKM@entry[2]{}
|
||||
\providecommand \oddpage@label [2]{}
|
||||
\BKM@entry{id=1,open,dest={746F632E73656374696F6E},srcline={16}}{5C3337365C3337375C303030435C3030306F5C3030306E5C303030745C303030655C3030306E5C303030745C30303073}
|
||||
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||||
"ethical-hacking-notes.aux" 1725402460.20207 882 008de7139324a7ba715b30cbaad20f20 "pdflatex"
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||||
"ethical-hacking-notes.tex" 1725402452.94601 339 e96de6f707fcbac89b5ce5f05576f140 ""
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||||
"ethical-hacking-notes.toc" 1725402460.20307 17 a67c51215264c290e9436746d1527cb8 "pdflatex"
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||||
"letterfonts.tex" 1725402401.69665 8702 ef32ca12e97530ef5734ca4adcb1f6b1 ""
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||||
"macros.tex" 1725402401.69665 3389 93000260d2aea292d29c76d4ace77a29 ""
|
||||
"preamble.tex" 1725402401.69665 20093 c61167ffdfcf8fcdcced7706f26bc5ca ""
|
||||
(generated)
|
||||
"ethical-hacking-notes.aux"
|
||||
"ethical-hacking-notes.log"
|
||||
"ethical-hacking-notes.pdf"
|
||||
"ethical-hacking-notes.toc"
|
||||
(rewritten before read)
|
||||
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
Binary file not shown.
Binary file not shown.
@ -0,0 +1,22 @@
|
||||
\documentclass{report}
|
||||
|
||||
\input{preamble}
|
||||
\input{macros}
|
||||
\input{letterfonts}
|
||||
|
||||
\title{\Huge{Ethical Hacking in ECE}}
|
||||
\author{\huge{Aidan Sharpe}}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
\newpage% or \cleardoublepage
|
||||
% \pdfbookmark[<level>]{<title>}{<dest>}
|
||||
\pdfbookmark[section]{\contentsname}{toc}
|
||||
\tableofcontents
|
||||
\pagebreak
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
@ -0,0 +1 @@
|
||||
\contentsfinish
|
||||
178
7th-Semester-Fall-2024/Ethical-Hacking/notes/letterfonts.tex
Normal file
178
7th-Semester-Fall-2024/Ethical-Hacking/notes/letterfonts.tex
Normal file
@ -0,0 +1,178 @@
|
||||
% Things Lie
|
||||
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||||
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||||
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||||
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||||
% Mathfrak primes
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
%---------------------------------------
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||||
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||||
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||||
%Captital Letters
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
|
||||
%---------------------------------------
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||||
% MathCal Fonts :-
|
||||
%---------------------------------------
|
||||
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||||
%Captital Letters
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
|
||||
|
||||
%---------------------------------------
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||||
% Bold Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
\newcommand{\bmW}{\boldsymbol{W}} \newcommand{\bmX}{\boldsymbol{X}}
|
||||
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||||
%Small Letters
|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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||||
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||||
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||||
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||||
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||||
%---------------------------------------
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||||
% Scr Math Fonts :-
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||||
%---------------------------------------
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
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|
||||
|
||||
|
||||
%---------------------------------------
|
||||
% Math Fraktur Font
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
%Small Letters
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
\newcommand{\mfm}{\mathfrak{m}} \newcommand{\mfn}{\mathfrak{n}}
|
||||
\newcommand{\mfo}{\mathfrak{o}} \newcommand{\mfp}{\mathfrak{p}}
|
||||
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|
||||
\newcommand{\mfs}{\mathfrak{s}} \newcommand{\mft}{\mathfrak{t}}
|
||||
\newcommand{\mfu}{\mathfrak{u}} \newcommand{\mfv}{\mathfrak{v}}
|
||||
\newcommand{\mfw}{\mathfrak{w}} \newcommand{\mfx}{\mathfrak{x}}
|
||||
\newcommand{\mfy}{\mathfrak{y}} \newcommand{\mfz}{\mathfrak{z}}
|
||||
88
7th-Semester-Fall-2024/Ethical-Hacking/notes/macros.tex
Normal file
88
7th-Semester-Fall-2024/Ethical-Hacking/notes/macros.tex
Normal file
@ -0,0 +1,88 @@
|
||||
%From M275 "Topology" at SJSU
|
||||
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|
||||
\newcommand{\taking}[1]{\xrightarrow{#1}}
|
||||
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|
||||
|
||||
%From M170 "Introduction to Graph Theory" at SJSU
|
||||
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|
||||
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|
||||
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|
||||
|
||||
%From the USAMO .tex files
|
||||
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|
||||
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|
||||
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|
||||
|
||||
% % From Math 55 and Math 145 at Harvard
|
||||
% \newenvironment{subproof}[1][Proof]{%
|
||||
% \begin{proof}[#1] \renewcommand{\qedsymbol}{$\blacksquare$}}%
|
||||
% {\end{proof}}
|
||||
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
% \newcommand{\norm}{\|\cdot\|}
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
|
||||
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|
||||
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|
||||
780
7th-Semester-Fall-2024/Ethical-Hacking/notes/preamble.tex
Normal file
780
7th-Semester-Fall-2024/Ethical-Hacking/notes/preamble.tex
Normal file
@ -0,0 +1,780 @@
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% PACKAGE IMPORTS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
\usepackage[tmargin=2cm,rmargin=1in,lmargin=1in,margin=0.85in,bmargin=2cm,footskip=.2in]{geometry}
|
||||
\usepackage{amsmath,amsfonts,amsthm,amssymb,mathtools}
|
||||
\usepackage{listings}
|
||||
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|
||||
\usepackage[varbb]{newpxmath}
|
||||
\usepackage{xfrac}
|
||||
\usepackage[makeroom]{cancel}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{bookmark}
|
||||
\usepackage{enumitem}
|
||||
\usepackage{hyperref,theoremref}
|
||||
\hypersetup{
|
||||
pdftitle={Assignment},
|
||||
colorlinks=true, linkcolor=doc!90,
|
||||
bookmarksnumbered=true,
|
||||
bookmarksopen=true
|
||||
}
|
||||
\usepackage[most,many,breakable]{tcolorbox}
|
||||
\usepackage{xcolor}
|
||||
\usepackage{varwidth}
|
||||
\usepackage{varwidth}
|
||||
\usepackage{etoolbox}
|
||||
%\usepackage{authblk}
|
||||
\usepackage{nameref}
|
||||
\usepackage{multicol,array}
|
||||
\usepackage{tikz-cd}
|
||||
\usepackage[ruled,vlined,linesnumbered]{algorithm2e}
|
||||
\usepackage{comment} % enables the use of multi-line comments (\ifx \fi)
|
||||
\usepackage{import}
|
||||
\usepackage{xifthen}
|
||||
\usepackage{pdfpages}
|
||||
\usepackage{transparent}
|
||||
|
||||
\newcommand\mycommfont[1]{\footnotesize\ttfamily\textcolor{blue}{#1}}
|
||||
\SetCommentSty{mycommfont}
|
||||
\newcommand{\incfig}[1]{%
|
||||
\def\svgwidth{\columnwidth}
|
||||
\import{./figures/}{#1.pdf_tex}
|
||||
}
|
||||
|
||||
\usepackage{tikzsymbols}
|
||||
\renewcommand\qedsymbol{$\Laughey$}
|
||||
|
||||
|
||||
%\usepackage{import}
|
||||
%\usepackage{xifthen}
|
||||
%\usepackage{pdfpages}
|
||||
%\usepackage{transparent}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% SELF MADE COLORS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
|
||||
\definecolor{myg}{RGB}{56, 140, 70}
|
||||
\definecolor{myb}{RGB}{45, 111, 177}
|
||||
\definecolor{myr}{RGB}{199, 68, 64}
|
||||
\definecolor{mytheorembg}{HTML}{F2F2F9}
|
||||
\definecolor{mytheoremfr}{HTML}{00007B}
|
||||
\definecolor{mylenmabg}{HTML}{FFFAF8}
|
||||
\definecolor{mylenmafr}{HTML}{983b0f}
|
||||
\definecolor{mypropbg}{HTML}{f2fbfc}
|
||||
\definecolor{mypropfr}{HTML}{191971}
|
||||
\definecolor{myexamplebg}{HTML}{F2FBF8}
|
||||
\definecolor{myexamplefr}{HTML}{88D6D1}
|
||||
\definecolor{myexampleti}{HTML}{2A7F7F}
|
||||
\definecolor{mydefinitbg}{HTML}{E5E5FF}
|
||||
\definecolor{mydefinitfr}{HTML}{3F3FA3}
|
||||
\definecolor{notesgreen}{RGB}{0,162,0}
|
||||
\definecolor{myp}{RGB}{197, 92, 212}
|
||||
\definecolor{mygr}{HTML}{2C3338}
|
||||
\definecolor{myred}{RGB}{127,0,0}
|
||||
\definecolor{myyellow}{RGB}{169,121,69}
|
||||
\definecolor{myexercisebg}{HTML}{F2FBF8}
|
||||
\definecolor{myexercisefg}{HTML}{88D6D1}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% TCOLORBOX SETUPS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\setlength{\parindent}{1cm}
|
||||
%================================
|
||||
% THEOREM BOX
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Theorem}{Theorem}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mytheorembg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mytheoremfr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mytheoremfr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mytheoremfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{theorem}{Theorem}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mytheorembg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mytheoremfr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mytheoremfr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mytheoremfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcolorbox{Theoremcon}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = mytheorembg
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{mytheoremfr}
|
||||
,sharp corners
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
}
|
||||
|
||||
%================================
|
||||
% Corollery
|
||||
%================================
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Corollary}{Corollary}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = myp!10
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{myp!85!black}
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper = \tcbtitle\par\smallskip
|
||||
,coltitle = myp!85!black
|
||||
,fonttitle = \bfseries\sffamily
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,segmentation style={solid, myp!85!black}
|
||||
}
|
||||
{th}
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{corollary}{Corollary}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = myp!10
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{myp!85!black}
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper = \tcbtitle\par\smallskip
|
||||
,coltitle = myp!85!black
|
||||
,fonttitle = \bfseries\sffamily
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,segmentation style={solid, myp!85!black}
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% LENMA
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Review}{Review}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mylenmabg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mylenmafr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mylenmafr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mylenmafr},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{review}{Review}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mylenmabg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mylenmafr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mylenmafr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mylenmafr},
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% METHOD
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Method}{Method}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mypropbg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mypropfr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mypropfr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mypropfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{method}{Method}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = mypropbg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{mypropfr},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = mypropfr,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, mypropfr},
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
%================================
|
||||
% CLAIM
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{claim}{Claim}
|
||||
{%
|
||||
enhanced
|
||||
,breakable
|
||||
,colback = myg!10
|
||||
,frame hidden
|
||||
,boxrule = 0sp
|
||||
,borderline west = {2pt}{0pt}{myg}
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper = \tcbtitle\par\smallskip
|
||||
,coltitle = myg!85!black
|
||||
,fonttitle = \bfseries\sffamily
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,segmentation style={solid, myg!85!black}
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Exercise
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Exercise}{Exercise}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = myexercisebg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{myexercisefg},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = myexercisefg,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, myexercisefg},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{exercise}{Exercise}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = myexercisebg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{myexercisefg},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = myexercisefg,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, myexercisefg},
|
||||
}
|
||||
{th}
|
||||
|
||||
%================================
|
||||
% EXAMPLE BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Example}{Example}
|
||||
{%
|
||||
colback = myexamplebg
|
||||
,breakable
|
||||
,colframe = myexamplefr
|
||||
,coltitle = myexampleti
|
||||
,boxrule = 1pt
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper=\tcbtitle\par\smallskip
|
||||
,fonttitle = \bfseries
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
\newtcbtheorem[number within=chapter]{example}{Example}
|
||||
{%
|
||||
colback = myexamplebg
|
||||
,breakable
|
||||
,colframe = myexamplefr
|
||||
,coltitle = myexampleti
|
||||
,boxrule = 1pt
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper=\tcbtitle\par\smallskip
|
||||
,fonttitle = \bfseries
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
%================================
|
||||
% DEFINITION BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Definition}{Definition}{enhanced,
|
||||
before skip=2mm,after skip=2mm, colback=red!5,colframe=red!80!black,boxrule=0.5mm,
|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
\newtcbtheorem[number within=chapter]{definition}{Definition}{enhanced,
|
||||
before skip=2mm,after skip=2mm, colback=red!5,colframe=red!80!black,boxrule=0.5mm,
|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Solution BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{question}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=myb!80!black,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% SOLUTION BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcolorbox{solution}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=myg!80!black,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
title=Solution,
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% Question BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{qstion}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=mygr,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
\newtcbtheorem[number within=chapter]{wconc}{Wrong Concept}{
|
||||
breakable,
|
||||
enhanced,
|
||||
colback=white,
|
||||
colframe=myr,
|
||||
arc=0pt,
|
||||
outer arc=0pt,
|
||||
fonttitle=\bfseries\sffamily\large,
|
||||
colbacktitle=myr,
|
||||
attach boxed title to top left={},
|
||||
boxed title style={
|
||||
enhanced,
|
||||
skin=enhancedfirst jigsaw,
|
||||
arc=3pt,
|
||||
bottom=0pt,
|
||||
interior style={fill=myr}
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% NOTE BOX
|
||||
%================================
|
||||
|
||||
\usetikzlibrary{arrows,calc,shadows.blur}
|
||||
\tcbuselibrary{skins}
|
||||
\newtcolorbox{note}[1][]{%
|
||||
enhanced jigsaw,
|
||||
colback=gray!20!white,%
|
||||
colframe=gray!80!black,
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@ -1 +0,0 @@
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|
||||
29 named destinations out of 1000 (max. 500000)
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254 words of extra memory for PDF output out of 10000 (max. 10000000)
|
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|
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|
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@ -41,7 +41,7 @@ A transistor that is on passes a finite amount of current dependent on terminal
|
||||
\end{equation}
|
||||
|
||||
\begin{figure}
|
||||
\centering
|
||||
\center
|
||||
\includegraphics[width=0.5\textwidth]{nmos-dimensions.png}
|
||||
\caption{nMOS dimensions}
|
||||
\label{fig:nmos-dimensions}
|
||||
@ -80,4 +80,48 @@ Since pMOS transistors pass power rather than creating a ground connection, they
|
||||
\section{Capacitance}
|
||||
The gate capacitance per micron is typically about 2fF.
|
||||
|
||||
\section{Logical Gate Truth Tables}
|
||||
\begin{table}[!h]
|
||||
\caption{Truth table of a NOT gate}
|
||||
%\label{tbl:truth-not}
|
||||
\begin{center}
|
||||
\begin{tabular}{c | c}
|
||||
in & out \\
|
||||
\hline
|
||||
1 & 0 \\
|
||||
0 & 1 \\
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
\end{table}
|
||||
\begin{table}[!h]
|
||||
\caption{Truth table of a NAND gate}
|
||||
\begin{center}
|
||||
\begin{tabular}{c c | c}
|
||||
A & B & Y \\
|
||||
\hline
|
||||
0 & 0 & 1 \\
|
||||
0 & 1 & 1 \\
|
||||
1 & 0 & 1 \\
|
||||
1 & 1 & 0 \\
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
\end{table}
|
||||
|
||||
With the goal to set the correct output to $V_{DD}$ and GND, shorts must be avoided.
|
||||
Simple guides:
|
||||
\begin{enumerate}
|
||||
\item nMOS can only pass "0"
|
||||
\item pMOS can only pass "1"
|
||||
\item Always use pMOS in a pull-up network and nMOS in a pull-down network, with the output between them
|
||||
\item Only one of the two networks should be on at any given time
|
||||
\end{enumerate}
|
||||
|
||||
\subsection{Implementing Arbitrary Functions}
|
||||
Realize the pull-down network by inspection (looking at the truth table), and then use deMorgan's theorem to manipulate.
|
||||
\ex{}
|
||||
{
|
||||
Given the function $F = \overline{A + BC}$, the pull-down network implements $A$ OR $B$ AND $C$. Keep in mind that MOSFETs in series have the effect of AND, and MOSFETs in parallel have the effect of OR. Next, use deMorgan's theorem to implement $\overline{A + BC}$ as a non-inverted function. This becomes $\bar{A} \cdot (\bar{B} + \bar{C})$. Finally, combine the pull-up and pull down networks.
|
||||
}
|
||||
|
||||
\section{Nonideal Transistor Theory}
|
||||
\end{document}
|
||||
|
||||
@ -4,4 +4,7 @@
|
||||
\contentsline {subsection}{\numberline {1.2.1}Power Supply Voltage}{2}{subsection.1.2.1}%
|
||||
\contentsline {section}{\numberline {1.3}CMOS Transistor Theory}{2}{section.1.3}%
|
||||
\contentsline {section}{\numberline {1.4}Capacitance}{3}{section.1.4}%
|
||||
\contentsline {section}{\numberline {1.5}Logical Gate Truth Tables}{3}{section.1.5}%
|
||||
\contentsline {subsection}{\numberline {1.5.1}Implementing Arbitrary Functions}{4}{subsection.1.5.1}%
|
||||
\contentsline {section}{\numberline {1.6}Nonideal Transistor Theory}{4}{section.1.6}%
|
||||
\contentsfinish
|
||||
|
||||
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Reference in New Issue
Block a user