Gallery — Math

Quiz-exam template

Problem set template with instructions

Riemann多様体上の発散には幾つかの等価な定義が存在します. それらについて証明も含めてまとめました.

Presentation for Senior Research Capstone at Northeastern University

Ficheiro para registar os resultados das experiências realizadas na disciplina Seminário II - módulo funções em 2019/20

A proof of an integral over the interval from 0 to infinity of the function \(\frac{1}{x^{\ln x}}\) that I have derived.

Suppose we have some topological spaces lying around. How can we build new topological spaces using the old ones? There are four fundamental constructions: subspaces, disjoint unions, products, and quotients. Defining the topologies on each can be done in two ways. One way is through ad hoc definitions. These definitions make some intuitive sense, but look very different from one construction to the next. The other way uses canonical maps. Canonical maps provide a single framework in which all constructions obey the same unifying principle.

For Dr. Dunmyre's Math 315 Class.

HW 0