Gallery — Math

Spring-Mass

Just another Factor Analysis derivation. Refer to Stanford Lecture Notes CS229.

A template and examples for upper level physics students taking quantum mechanics at St. Mary's College of Maryland. Includes examples of kets and column vectors.

episode 9

This research is a mathematical model based upon the human influence on the predator-prey relationship between Red Panda and Snow Leopard, which are the major species in the mountain ecosystem. This research explores if these species get extinct in a certain area due to imbalance in their interaction. Firstly, simple model of the species is discussed with no interaction between the species. Interactive model is then introduced to simulate their population when they interact with each other. The human influence is then introduced to the interactive model to observe if the species get extinct. This research is a mathematical model based upon the human influence on the predator-prey relationship between Red Panda and Snow Leopard, which are the major species in the mountain ecosystem. This research explores if these species get extinct in a certain area due to imbalance in their interaction. Firstly, simple model of the species is discussed with no interaction between the species. Interactive model is then introduced to simulate their population when they interact with each other. The human influence is then introduced to the interactive model to observe if the species get extinct. All the models are simulated in python programs using Euler's method. The data in this research are approximated for a certain area based upon the population density and habitat of the two species. All the models are simulated in python programs using Euler's method.

A note on gradient-based optimization.

Template para os relatórios da disciplina Laboratório de Matemática

In this paper, we talk about Euler's famous solution to the Basel problem and his advantage over other mathematicians of the time.

Solutions to Chapter 0 of Dummit and Foote's Abstract Algebra text.