Gallery — Math

In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!

CS 155 HW 9

The dual of constrained KL-Divergence is the MLE of the log-linear model

A leaflet created for a Math class that I conduct during this term.

Math Homework simple template

This is a set of notes for the first two chapters of an Abstract Algebra course, following the Hungerford textbook table of contents. One notable feature is the use of a couple of commands that allow one to show only definitions, or only the examples, etc., and another command that allows one to format examples for making handouts.

Mathematical Rings

В данной работе представлено экспериментальное получение коэффициента поверхностного натяжения(КПН) жидкости. Также проверяется зависимость КПН от температуры. Устанавливается рабочий диапазон установки. В работе приводится разбор экспериментов проведанных автором работы. Исследовалось несколько видов жидкостей. Неорганические жидкости: Вода, Органические жидкости: Глицерин. Измерения проводились при температурах: 25 и 45, 50 градусов Цельсия.

HW 0