Se pretende describir el decaimiento de una partícula α encontrando los niveles de energía Eα correspondientes a los estados ligados de la partícula producto de la desintegración. Los niveles de energía y los estados ligados se encuentran mediante dos métodos de aproximación: WKB y diferencias finitas. Posteriormente se halla el tiempo de vida medio τ, se comparan los resultados con los de la literatura y se decide el mejor método de solución acorde con la literatura.
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Dicas para a preparação de listas de exercícios da disciplina MAC0239 (Introdução à Lógica e Verificação de Programas) no IME-USP.
Tips for preparing exercises for MAC0239 (Introduction to Logic and Program Verification) at IME-USP.
In this project, students create a two-dimensional shape with nonuniform density, finds its center of mass, and hang it from a mobile. The various portion of the project address the differences and relationships between computing the center of mass of a discrete set of point masses and a lamina.
Included here is also a sample solution to help students formulate their own well-written solutions. Also, in the LaTeX code are a few comments to address some of the basics of LaTeX and Overleaf.
It's easy to find out how many combinations you can have if you know the total number of items, and the number of items you are combining.
It's a little harder to do that in reverse. This document shows how to find the total number of items if you know how many are combined at a time, and the total number of combinations.
In this paper, we derive and prove, by means of Binomial theorem and Faulhaber's formula, the following identity
between $m$-order polynomials in \(T\)
\(\sum_{k=1}^{\ell}\sum_{j=0}^m A_{m,j}k^j(T-k)^j=\sum_{k=0}^{m}(-1)^{m-k}U_m(\ell,k)\cdot T^k=T^{2m+1}, \ \ell=T\in\mathbb{N}.\)