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@@ -0,0 +1,83 @@
+\documentclass{report}
+
+\input{preamble}
+\input{macros}
+\input{letterfonts}
+
+\title{\Huge{CMOS VLSI Design}}
+\author{\huge{Aidan Sharpe}}
+\date{}
+
+\begin{document}
+
+\maketitle
+\newpage% or \cleardoublepage
+% \pdfbookmark[<level>]{<title>}{<dest>}
+\pdfbookmark[section]{\contentsname}{toc}
+\tableofcontents
+\pagebreak
+
+\chapter{CMOS Circuits, Fabrication, and Layout Design Rules}
+\section{A Brief History}
+First transistor developed at Bell Labs in 1947. 
+
+\section{MOSFET Overview}
+MOSFETs are four-pin devices (source, gate, drain, body). The gate and body are conductors, while the source and drain are semiconductors. For nMOS devices, the body pin should always be tied to the lowest potential. For a pMOS device, the body pin is tied to the highest potential.
+
+\nt{For CMOS circuits, the output power always comes from the rails, not the gate.}
+
+\subsection{Power Supply Voltage}
+\begin{itemize}
+	\item GND = 0V
+	\item In 1980's $V_{DD}$ = 5V
+	\item $V_{DD}$ has decreased over time
+	\item 3.3V and 1.2V CMOS circuits are common today
+\end{itemize}
+
+\section{CMOS Transistor Theory}
+A transistor that is on passes a finite amount of current dependent on terminal voltages. The gate, source, and drain all have capacitance. Capacitance and current determines the speed and timing of these devices.
+\begin{equation}
+	I = C \frac{dv}{dt}
+\end{equation}
+
+\begin{figure}
+	\centering
+	\includegraphics[width=0.5\textwidth]{nmos-dimensions.png}
+	\caption{nMOS dimensions}
+	\label{fig:nmos-dimensions}
+\end{figure}
+
+MOSFETs have operation modes: accumulation, depletion, and inversion. These modes depend on the voltages $V_g$, $V_d$, and $V_s$. Source and drain are symmetric diffusion terminals, but by convention, the source is the terminal at lower voltage; hence, $V_{ds} \ge 0$. The body of an nMOS should be grounded, and, at this point, it is safe to assume that the source terminal is also grounded.
+
+MOSFETs also have regions of operation: cutoff, linear, and saturation. During cutoff, $I_{ds} \approx 0$. During the linear region, $I_{ds} \propto V_{gs}$, and during the saturation regions, increasing voltage no longer increases current.
+
+\begin{equation}
+	Q_\text{channel} = CV
+\end{equation}
+
+\begin{equation}
+	C = C_g = \veps_\text{oxide} \frac{WL}{t_\text{oxide}} = C_\text{oxide} WL
+\end{equation}
+
+\begin{equation}
+	C_\text{oxide} = \frac{\veps_\text{oxide}}{t_\text{oxide}}
+\end{equation}
+
+Electrons are propelled by the lateral electric field between source and drain $E = V_{ds} / L$.
+
+If $V_{gd} < V_t$, the channel pinches off near the drain, meaning that an increase in voltage does not cause an increase in current.
+
+\begin{equation}
+	I_{ds} = \begin{cases}
+		0 & V_{gs} < V_t \\
+		\beta\lt(V_{gs} - V_t - \frac{V_{ds}}{2}\rt)V_{ds} & V_{ds} < V_\text{saturation} \\
+		\frac{\beta}{2}\lt(V_{gs} - V_{t}\rt)^2 & V_{ds} > V_\text{saturation} 
+	\end{cases}
+\end{equation}
+
+Since pMOS transistors pass power rather than creating a ground connection, they must be larger than nMOS transistors. For the case of this class: $\mu_p = 2\mu_n$.
+
+\section{Capacitance}
+The gate capacitance per micron is typically about 2fF.
+
+\end{document}
diff --git a/7th-Semester-Fall-2024/VLSI/notes/VLSI.toc b/7th-Semester-Fall-2024/VLSI/notes/VLSI.toc
new file mode 100644
index 0000000..92af51b
--- /dev/null
+++ b/7th-Semester-Fall-2024/VLSI/notes/VLSI.toc
@@ -0,0 +1,7 @@
+\contentsline {chapter}{\numberline {1}CMOS Circuits, Fabrication, and Layout Design Rules}{2}{chapter.1}%
+\contentsline {section}{\numberline {1.1}A Brief History}{2}{section.1.1}%
+\contentsline {section}{\numberline {1.2}MOSFET Overview}{2}{section.1.2}%
+\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}%
+\contentsfinish 
diff --git a/7th-Semester-Fall-2024/VLSI/notes/citations.bib b/7th-Semester-Fall-2024/VLSI/notes/citations.bib
new file mode 100644
index 0000000..ddb9b70
--- /dev/null
+++ b/7th-Semester-Fall-2024/VLSI/notes/citations.bib
@@ -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}
+}
diff --git a/7th-Semester-Fall-2024/VLSI/notes/letterfonts.tex b/7th-Semester-Fall-2024/VLSI/notes/letterfonts.tex
new file mode 100644
index 0000000..e28675f
--- /dev/null
+++ b/7th-Semester-Fall-2024/VLSI/notes/letterfonts.tex
@@ -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}}
diff --git a/7th-Semester-Fall-2024/VLSI/notes/macros.tex b/7th-Semester-Fall-2024/VLSI/notes/macros.tex
new file mode 100644
index 0000000..8bbdb96
--- /dev/null
+++ b/7th-Semester-Fall-2024/VLSI/notes/macros.tex
@@ -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}
diff --git a/7th-Semester-Fall-2024/VLSI/notes/nmos-dimensions.png b/7th-Semester-Fall-2024/VLSI/notes/nmos-dimensions.png
new file mode 100644
index 0000000..a856311
Binary files /dev/null and b/7th-Semester-Fall-2024/VLSI/notes/nmos-dimensions.png differ
diff --git a/7th-Semester-Fall-2024/VLSI/notes/preamble.tex b/7th-Semester-Fall-2024/VLSI/notes/preamble.tex
new file mode 100644
index 0000000..a0b59f6
--- /dev/null
+++ b/7th-Semester-Fall-2024/VLSI/notes/preamble.tex
@@ -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}
+\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,
+	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,
+			size=fbox,
+			boxrule=1pt,
+			boxsep=2pt,
+			underlay={%
+					\coordinate (dotA) at ($(interior.west) + (-0.5pt,0)$);
+					\coordinate (dotB) at ($(interior.east) + (0.5pt,0)$);
+					\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}}
+\newcommand{\dfn}[2]{\begin{Definition}[colbacktitle=red!75!black]{#1}{}#2\end{Definition}}
+\newcommand{\dfnc}[2]{\begin{definition}[colbacktitle=red!75!black]{#1}{}#2\end{definition}}
+\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}}
+\newenvironment{myclaim}[1][\claimname]{\proof[\bfseries #1: ]}{}
+
+\newcounter{mylabelcounter}
+
+\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}{%
+      \IfNoValueTF{#1}{%
+        \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
+