Gallery — Math

A brief explanation and some examples on how to compose sequent calculus derivations with Overleaf using bussproofs.

This paper will state and prove the quadratic formula.

The style files were downloaded from the journal's homepage. Note that if your document contains other LaTeX errors, the tables will not be processed correctly. Therefore if you're getting an error message about Missing number and \statsocwidth@b etc, comment out your tables and correct other errors in your code first. Then uncomment your table code, and hit "recompile from scratch" at the bottom of the error/warning message window.

The Schroeder-Bernstein theorem

Zeta functions :-)

Math 206 homework

For an electron moving in a circular path in a magnetic field, if we know the magnetic field strength, accelerating voltage, and radius of the electron's trajectory, then we can make an estimation of the electron's charge to mass ratio. We calculated an average charge to mass ratio of \(2.08 \times 10^{11} \pm 1.81 \times 10^8\) Coulombs per kilogram.

We will study some aspects of the damped driven pendulum. We will see that the trajectory of damped driven pendulum is unpredictable under certain ranges of parameters. Under some conditions, the trajectory behaves like random. A perturbation of initial condition will lead to different result. Several mathematical tools will be introduced in this study.

hw3