diff --git a/.gitignore b/.gitignore
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diff --git a/document.toc b/document.toc
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diff --git a/mme-essay/document.blg b/mme-essay/document.blg
deleted file mode 100644
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+++ /dev/null
@@ -1,18 +0,0 @@
-[0] Config.pm:328> INFO - This is Biber 2.21
-[0] Config.pm:331> INFO - Logfile is 'document.blg'
-[34] biber:342> INFO - === Sat Sep 13, 2025, 13:58:46
-[44] Biber.pm:421> INFO - Reading 'document.bcf'
-[80] Biber.pm:1002> INFO - Found 2 citekeys in bib section 0
-[88] Biber.pm:4487> INFO - Processing section 0
-[92] Biber.pm:4678> INFO - Looking for bibtex file 'references.bib' for section 0
-[93] bibtex.pm:1713> INFO - LaTeX decoding ...
-[97] bibtex.pm:1519> INFO - Found BibTeX data source 'references.bib'
-[100] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable'
-[100] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized'
-[100] Biber.pm:4307> INFO - Sorting list 'nty/global//global/global/global' of type 'entry' with template 'nty' and locale 'en-US'
-[100] Biber.pm:4313> INFO - No sort tailoring available for locale 'en-US'
-[101] bbl.pm:676> INFO - Writing 'document.bbl' with encoding 'UTF-8'
-[101] bbl.pm:779> INFO - Output to document.bbl
-[101] Biber.pm:132> WARN - I didn't find a database entry for 'Kavanaugh1976' (section 0)
-[101] Biber.pm:132> WARN - I didn't find a database entry for 'Saussure1995' (section 0)
-[101] Biber.pm:134> INFO - WARNINGS: 2
diff --git a/mme-essay/document.pdf b/mme-essay/document.pdf
index 8234f8d..504cb75 100644
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deleted file mode 100644
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diff --git a/mme-essay/document.tex b/mme-essay/document.tex
index fcb5b5b..da037a1 100644
--- a/mme-essay/document.tex
+++ b/mme-essay/document.tex
@@ -7,13 +7,14 @@
% you remove the example text.
\usepackage{blindtext}
\usepackage{lipsum}
+
\usepackage{amsmath}
-\title{Example Paper Title} % Title for the paper
-\firstname{John} % Author's first name
-\lastname{Smith} % Author's last name
-\professor{Dr. Doctore} % Last Name of the professor
-\class{Example Class} % Name of the class
-%\date{10 April 2017} % Uncomment to change due-date
+\title{Mathematical Me} % Title for the paper
+\firstname{Krishna} % Author's first name
+\lastname{Ayyalasomayajula} % Author's last name
+\professor{Foresee} % Last Name of the professor
+\class{MATH 2415.008: Calculus III} % Name of the class
+\date{21 September 2025} % Uncomment to change due-date
\sources{references.bib} % File holding all the sources
\begin{document}
@@ -22,23 +23,31 @@
\newpage
% Then create the table of contents on its own.
-\tableofcontents
+%\tableofcontents
\newpage
-
-% Finally create the abstract on its own.
-\begin{abstract}
- \blindtext[3] % Replace this line with the abstract.
-\end{abstract}
-\newpage
-
% Paper content begins here.
\makeheader % Adds the MLA-Style information
\maketitle % Redefined to use MLA-Style
% Put paper here.
% Begin example text.
-This is here just so I can cite this thingy \cite{Kavanaugh1976} and also this thingy \cite{Saussure1995} so there can be some examples of bibliography and such. Usually this is where you'd put your introduction or something.
-\blinddocument
+
+The following equations encapsulate my life rather completely:
+\begin{align}
+K_{n+1} &= K_n + \alpha P_n + \beta C_n + \gamma R_n \label{eq:knowledge} \\[6pt]
+S(T,E) &= S_{\max}\!\left(1-e^{-\lambda T}\right) + \mu E \label{eq:skill} \\[6pt]
+\text{Premium} &= BS(S,K,r,\sigma,t) + \eta \cdot \mathcal{N}(0,1),
+ \qquad \eta \to \infty \label{eq:trading} \\[6pt]
+I &= \kappa\cdot\mathrm{Skill}\cdot\mathrm{Intent} - \delta\cdot\mathrm{Risk}^2 \label{eq:impact} \\[6pt]
+F &= \int \frac{\partial \,\text{Immersion}}{\partial \,\text{Pages}}\,\mathrm{d}(\text{Pages})
+ + \int \frac{\partial \,\text{Immersion}}{\partial \,\text{Prose}}\,\mathrm{d}(\text{Prose}) \notag \\
+ &\quad + \int \frac{\partial \,\text{Immersion}}{\partial \,\text{World}}\,\mathrm{d}(\text{World})
+ + \int \frac{\partial \,\text{Immersion}}{\partial \,\text{Characters}}\,\mathrm{d}(\text{Characters})
+ \label{eq:fun}
+\end{align}
+In equation~\ref{eq:knowledge}, I am looking at my cumulative knowledge growth, which models how practical coding, challenges, and research accumulate over time. Mathematically, each component contributes linearly, so balancing them according to their weights maximizes overall growth, reflecting my approach to learning efficiently. In equation~\ref{eq:skill}, I am examining my skill as a function of time and efficiency. The partial derivatives \(\frac{\partial S}{\partial T}\) and \(\frac{\partial S}{\partial E}\) and the limit \(\lim_{T \to \infty} \frac{\partial S}{\partial T} = 0\) show that efficiency drives growth more than time, guiding me to focus on deliberate effort rather than long hours. In equation~\ref{eq:trading}, I am analyzing quantitative analysis premiums through a Black–Scholes model with an added stochastic noise term. The limit \(\lim_{\eta \to \infty} \text{Premium}\) demonstrates that randomness dominates, illustrating how real outcomes feel unpredictable despite understanding the formulas. In equation~\ref{eq:impact}, I am quantifying my real-world impact, combining skill, intent, and risk. The quadratic risk term shows nonlinear penalties, so I must carefully calibrate my actions to maximize meaningful contributions in projects like my research paper and work with the IT Army of Ukraine. Finally, in equation~\ref{eq:fun}, I am modeling fun as immersion derived from reading progression fantasy. Evaluating partial derivatives with respect to Pages, Prose, World, and Characters reveals which books provide the strongest engagement per axis, with \textit{Cradle} excelling in Pages and Characters, \textit{The Stormlight Archive} in World, and the \textit{Azura Ghost} series in Prose, allowing me to quantify and prioritize my enjoyment mathematically.
+
+
% End example text.
% Put the works-cited on a separate page.
diff --git a/mme-essay/document.toc b/mme-essay/document.toc
index 46f778d..aa6dd12 100644
--- a/mme-essay/document.toc
+++ b/mme-essay/document.toc
@@ -1,14 +1,2 @@
\babel@toc {american}{}\relax
-\contentsline {section}{Abstract}{3}{}%
-\contentsline {section}{\numberline {1.}Heading on level\xspace 1 (section)}{4}{}%
-\contentsline {subsection}{\numberline {1.1}Heading on level\xspace 2 (subsection)}{4}{}%
-\contentsline {subsubsection}{\numberline {1.1.1}Heading on level\xspace 3 (subsubsection)}{4}{}%
-\contentsline {paragraph}{Heading on level\xspace 4 (paragraph)}{5}{}%
-\contentsline {section}{\numberline {2.}Lists}{5}{}%
-\contentsline {subsection}{\numberline {2.1}Example for list\xspace (itemize)}{5}{}%
-\contentsline {subsubsection}{\numberline {2.1.1}Example for list\xspace (4*itemize)}{5}{}%
-\contentsline {subsection}{\numberline {2.2}Example for list\xspace (enumerate)}{6}{}%
-\contentsline {subsubsection}{\numberline {2.2.1}Example for list\xspace (4*enumerate)}{6}{}%
-\contentsline {subsection}{\numberline {2.3}Example for list\xspace (description)}{6}{}%
-\contentsline {subsubsection}{\numberline {2.3.1}Example for list\xspace (4*description)}{7}{}%
-\contentsline {section}{Works Cited}{8}{}%
+\contentsline {section}{Works Cited}{4}{}%
diff --git a/mme-essay/references.bib b/mme-essay/references.bib
index 989eb77..e69de29 100755
--- a/mme-essay/references.bib
+++ b/mme-essay/references.bib
@@ -1,98 +0,0 @@
-@misc{unWater,
- organization={United Nations},
- title="We Can End Poverty 2015",
- year="2010",
- month=oct,
-}
-@Article{planetArk,
- author={{Planet Ark}},
- title={Greywater: The Basics},
- year={2007},
- annotation={Work baby work}
-}
-@Article{pacificInst2010,
- author={Allen, Lucy},
- organization={Pacific Institute},
- title={Overview of Greywater Reuse: The potential of Greywater Systems to Aid Sustainable Water Management},
- month=nov,
- year={2010},
- annotation = {Will this work like a charm or will it not?}
-}
-@Article{usaToday2012,
- author={Keen, Judy},
- publisher={USA Today},
- title={Midwest drought and heat increase water supply worries},
- month=jul,
- year={2012},
-}
-@Article{mcgill2008,
- author={Finley, Sara},
- publisher={McGill University},
- title={Reuse of Domestic Greywater for the Irrigation of Food Crops},
- month=aug,
- year={2008},
-}
-@Article{twente2011,
- author={Ercin, Ertug and Aldaya, Maite and Hoekstra, Arjen},
- publisher={United Nations Environment Programme},
- title={The water footprint of soy milk and soy burger and equivalent animal products},
- month=dec,
- year={2011},
-}
-@Article{inspect2012,
- author={Gromicko, Nick and London, Elise},
- publisher={International Association of Certified Home Inspectors},
- title={Greywater Inspection},
- year={2012},
-}
-@Article{sustainLaw2011,
- author={Unger, Lysan},
- publisher={Lewis & Clark Law School},
- title={Greywater is Great Water for your Plants},
- year={2011},
- month=apr,
-}
-@Article{ucdavis,
- author={Reschke, Erin},
- publisher={UC Davis},
- title={Greywater Systems - Benefits, Drawbacks and Uses of greywater},
- year={2003},
-}
-@Article{graywaterguide,
- author={Little, Val},
- publisher={Water Conservation Alliance},
- title={Gray Water Guide},
- year={2004},
-}
-@Article{newTimes,
- author={Johnston, Kathy},
- publisher={New Times Los Angeles},
- title={From laundry to landscaping},
- year={2009},
- month=jul,
-}
-@Article{worldWaterCouncil,
- organization={World Water Council},
- title={Water Crisis},
- year={2012},
-}
-@Article{nytimes,
- author={Marlow, Jeffery},
- publisher={The New York Times},
- title={The Pursuit of Cost-Effective Desalination},
- year={2009},
- month=sep,
-}
-@Article{epa,
- author={McGovern, Cheryl},
- publisher={Environmental Protection Agency},
- title={Water Recycling and Reuse: The Environmental Benefits},
- year={2011},
- month=sep,
-}
-@Article{rcap,
- author={Adams, Randolph},
- publisher={Rural Community Assistance Partnership},
- title={Still Living Without the Basics in the 21st Century},
- year={2009},
-}