Curated LaTeX Templates
Production-ready LaTeX starters for journal papers, engineering CVs, homework problem sets, and slides. Preview and open directly in the editor.
Quadratic Formula & Discriminant
Standard solution for quadratic equations ax^2 + bx + c = 0 with discriminant analysis.
% Quadratic Formula & Roots
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\quad \text{where } \Delta = b^2 - 4ac…Time-Dependent Schrödinger Equation
Fundamental equation of quantum mechanics describing quantum wave function evolution.
% Time-Dependent Schrödinger Equation
i\hbar \frac{\partial}{\partial t} \Psi(\mathbf{r}, t) = \left[ -\frac{\hbar^2}{2m}\nabla^2 + V(\mathbf{r}, t) \right] \Psi(\mathbf{r}, t)…Maxwell's Equations (Differential Form)
The four classical electromagnetism laws unified in vector calculus differential form.
% Maxwell's Equations (Differential Form)
\begin{aligned}
\nabla \cdot \mathbf{E} &= \frac{\rho}{\varepsilon_0} && \text{(Gauss's law)} \\[6pt]
\nabla \cdot \mathbf{B} &= 0 && \text{(Gauss's law for magnetism)} \\[6pt]
\…Euler's Identity & Complex Exponential
Often called the most beautiful theorem in mathematics, linking e, i, pi, 1, and 0.
% Euler's Identity
e^{i\pi} + 1 = 0
% Generalized Formula
e^{ix} = \cos x + i \sin x…Softmax & Cross-Entropy Loss
Multiclass classification activation function and categorical cross-entropy loss formulation.
% Softmax Activation & Cross-Entropy Loss
\sigma(\mathbf{z})_i = \frac{e^{z_i}}{\sum_{j=1}^{K} e^{z_j}}
\mathcal{L}_{\mathrm{CE}} = -\sum_{i=1}^{K} y_i \log\left( \hat{y}_i \right)…Matrix Multiplication & Determinant
Matrix product representation with eigenvalues and determinant notation.
% Matrix Transformation
\mathbf{A} \mathbf{x} =
\begin{pmatrix}
a_{11} & a_{12} & a_{13} \\
a_{21} & a_{22} & a_{23} \\
a_{31} & a_{32} & a_{33}
\end{pmatrix}
\begin{pmatrix}
x_1 \\
x_2 \\
x_3
\end{pmatrix}
= \lambda \m…Academic Research Paper Starter
Complete research paper structure with title, abstract, sections, equations, and references.
\documentclass[11pt,a4paper]{article}
\title{Quantum Coherence in Macroscopic Biological Systems}
\author{Dr. Elena Vance, Department of Physics, MIT}
\date{October 2026}
\begin{document}
\begin{abstract}
We present em…Modern Software Engineer Resume / CV
Clean, ATS-friendly modern resume template formatted for tech and engineering roles.
\documentclass[10pt,letterpaper]{article}
\title{Your Name - Staff Systems Engineer}
\author{you@example.com | portfolio.example.com | City, Country}
\date{Curriculum Vitae}
\begin{document}
\section{Summary}
Staff Eng…LaTeX Templates FAQ
How do I open a template in the LaTeX editor?▼
Click the "Open in Editor" button on any template card. The template source code will load directly into the live Equation Editor with instant KaTeX preview.
Can I download the template or copy its code?▼
Yes. Once opened in the editor, you can copy the full LaTeX source code with 1-click, or export rendered formulas to MathML, SVG, and PNG.
Are these LaTeX templates compatible with Overleaf and TeX Live?▼
Yes, all templates use standard packages (article, amsmath, booktabs) and are 100% compatible with Overleaf, TeX Live, and MacTeX.