overleaf template galleryLaTeX templates and examples — Recent

Discover LaTeX templates and examples to help with everything from writing a journal article to using a specific LaTeX package.

University of Pennsylvania Ph.D. Dissertation LaTeX Template Official

The University of Pennsylvania Ph.D. Dissertation LaTeX Template aims to fulfill University typesetting requirements. Please consult the Office of the Provost and your graduate group for detailed requirements and policies. Open the template in Overleaf or download the template source code (.zip). Visit the Penn Libraries Overleaf portal to claim your Overleaf Professional account or to upgrade your personal account courtesy of the Penn Libraries.

Lauren Gala (Penn Libraries)

A Beamer Theme for the Technology Transfer Office at the Masaryk University in Brno

A template for mubeamer, a beamer theme for the typesetting of presentations at the Masaryk University (Brno, Czech Republic).

Vít Novotný, Aleš Křenek

A Beamer Theme for CERIT at the Masaryk University in Brno

A template for mubeamer, a beamer theme for the typesetting of presentations at the Masaryk University (Brno, Czech Republic).

Vít Novotný, Aleš Křenek

Verslagen van Vergaderingen (Meeting minutes)

Ook studentenraden gebruiken LaTeX voor hun verslagen van vergaderingen. (Downloaded from LaTeX templates en logo's)

Studentenraden, Universiteit Gent (uploaded by LianTze Lim)

Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum

The differential wave equation can be used to describe electromagnetic waves in a vacuum. In the one dimensional case, this takes the form $\frac{\partial^2\phi}{\partial x^2}-\frac{1}{c^2}\frac{\partial^2\phi}{\partial t^2} = 0$. A general function $f(x,t) = x \pm ct$ will propagate with speed c. To represent the properties of electromagnetic waves, however, the function $\phi(x,t) = \phi _0 sin(kx-\omega t)$ must be used. This gives the Electric and Magnetic field equations to be $E (z,t) = \hat{x} E _0 sin(kz-\omega t)$ and $B (z,t) = \hat{y} B _0 sin(kz-\omega t)$. Using this solution as well as Maxwell's equations the relation $\frac{E_0}{B_0} = c$ can be derived. In addition, the average rate of energy transfer can be found to be $\bar{S} = \frac{E_0 ^2}{2 c \mu _0} \hat{z}$ using the poynting vector of the fields.

Eric Minor