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Experiment on events
Peng

Homework Template/ LaTeX intro
This is a math homework template
pignov

Series Representation of Power Function
In this paper, we derive and prove, by means of Binomial theorem and Faulhaber's formula, the following identity
between $m$-order polynomials in \(T\)
\(\sum_{k=1}^{\ell}\sum_{j=0}^m A_{m,j}k^j(T-k)^j=\sum_{k=0}^{m}(-1)^{m-k}U_m(\ell,k)\cdot T^k=T^{2m+1}, \ \ell=T\in\mathbb{N}.\)
Kolosov Petro

Ejercicio 11 del 78, Baldor
Resuelva la ecuación
Wilson

On Proving the Integral Definition of the Gamma Function for Non-Negative Real Numbers
A proof of the improper integral that defines the gamma function that I have derived for \(R \geq 0\).
Ivan V. Morozov

Matrices
En este documento se explican qué son las matrices, los distintos tipos que hay, algunas operaciones que se hacen con ellas con ellas (y sus respectivas propiedades), además de enseñar cómo realizar estas operaciones en programación. Incluye el concepto de relación binaria, y se explica cómo se pueden representar éstas (si son homogéneas) mediante grafos. y los distintos tipos de éstos últimos. Se recalca la "matriz jacobiana", explicando su función escalar y vectorial
Victoria

Lagrange's Theorem
Lagrange's Theorem
Shateil French

The Parallelization and Optimization of the N-Body Problem using OpenMP and Cuda
This research paper aims at exploiting efficient ways of implementing the N-Body problem. The N-Body problem, in the field of physics, predicts the movements and planets and their gravitational interactions. In this paper, the efficient execution of heavy computational work through usage of different cores in CPU and GPU is looked into; achieved by integrating the OpenMP parallelization API and the Nvidia CUDA into the code. The paper also aims at performance analysis of various algorithms used to solve the same problem. This research not only aids as an alternative to complex simulations but also for bigger data that requires work distribution and computationally expensive procedures.
Tushaar Gangarapu

Project 3 template for CSI500
A solution for CSI500 project 3
Francis Nsafoah Opoku