\documentclass[11pt]{report} \usepackage{setspace} \doublespacing \usepackage[toc,page]{appendix} \usepackage[]{amsmath} \usepackage[]{amsthm} \usepackage{mathtools} \numberwithin{equation}{section} \usepackage[]{amssymb} \usepackage[margin=1in]{geometry} \usepackage[]{soul} \usepackage[]{bbm} \usepackage[]{cancel} \usepackage[]{xcolor} \usepackage[]{enumitem} \usepackage{mathrsfs} \usepackage{hyperref} \usepackage[capitalise]{cleveref} \usepackage{natbib} \usepackage{neuralnetwork} \usepackage{witharrows} \usepackage{listings} \usepackage{graphicx} \DeclareMathAlphabet{\mymathbb}{U}{BOONDOX-ds}{m}{n} % \usepackage[]{enumerate} \setlength\parindent{0pt} \DeclareMathOperator{\Trace}{Trace} \DeclareMathOperator{\Hess}{Hess} \DeclareMathOperator{\supp}{supp} \DeclareMathOperator{\domain}{Domain} \DeclareMathOperator{\lip}{Lip} \usepackage{tikz-cd} \DeclareMathOperator{\rect}{Rect} \DeclareMathOperator{\param}{Param} \DeclareMathOperator{\inn}{In} \DeclareMathOperator{\out}{Out} \DeclareMathOperator{\neu}{NN} \DeclareMathOperator{\hid}{Hid} \DeclareMathOperator{\lay}{Lay} \DeclareMathOperator{\dep}{Dep} \DeclareMathOperator{\we}{Weight} \DeclareMathOperator{\bi}{Bias} \DeclareMathOperator{\aff}{Aff} \DeclareMathOperator{\act}{Act} \DeclareMathOperator{\real}{Rlz} \DeclareMathOperator{\id}{Id} \DeclareMathOperator{\mult}{Mult} \DeclareMathOperator{\wid}{Wid} \DeclareMathOperator{\sm}{Sum} \DeclareMathOperator{\trn}{Trn} \DeclareMathOperator{\cpy}{Copy} \DeclareMathOperator{\ex}{Ex} \DeclareMathOperator{\lin}{Lin} \DeclareMathOperator{\relu}{ReLU} \DeclareMathOperator{\zero}{Zr} \DeclareMathOperator{\obj}{obj} \DeclareMathOperator{\dom}{dom} \DeclareMathOperator{\cod}{cod} \newcommand{\bbP}{\mathbb{P}} \newcommand{\E}{\mathbb{E}} \newcommand{\R}{\mathbb{R}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\N}{\mathbb{N}} \newcommand{\p}{\mathfrak{p}} \newcommand{\mft}{\mathfrak{t}} \newcommand{\f}{\mathfrak{f}} \newcommand{\C}{\mathfrak{C}} \newcommand{\n}{\mathscr{N}} \newcommand{\lp}{\left(} \newcommand{\rp}{\right)} \newcommand{\rb}{\right]} \newcommand{\lb}{\left[} \newcommand{\lv}{\left|} \newcommand{\rv}{\right|} \newcommand{\la}{\langle} \newcommand{\ra}{\rangle} \newcommand{\ve}{\varepsilon} \newcommand{\les}{\leqslant} \newcommand{\ges}{\geqslant} % Input layer neurons'number \newcommand{\inputnum}{3} % Hidden layer neurons'number \newcommand{\hiddennum}{5} % Output layer neurons'number \newcommand{\outputnum}{2} \newtheorem{theorem}{Theorem}[section] \newtheorem{corollary}{Corollary}[theorem] \newtheorem{lemma}[theorem]{Lemma} \newtheorem{definition}[theorem]{Definition} \newtheorem{remark}[theorem]{Remark} \newtheorem{claim}[theorem]{Claim} \title{Reformulation without f} \author{Shakil Rafi} \begin{document} \maketitle \begin{theorem} Consider the following diffeq: \begin{align} \lp \frac{\partial }{\partial t} u \rp \lp t,x \rp + \la \mu \lp t,x \rp, \nabla_x \lp t,x \rp \ra + \frac{1}{2} \lp \Trace \lp \Hess_x u_d \rp \lp x \rp \rp -V\lp t,x \rp u \lp t,x\rp +f\lp t,x \rp = 0 \end{align} \end{theorem} \end{document}