This project was used as a tool to familiarize myself with very basic group theory (for abstract algebra/MA407@ncsu) and python (for programming languages and modeling/CSC495-002@ncsu) during the 2018 ...

This field examines the interplay between algebraic systems—such as groups, rings, fields and modules—and the powerful analytical framework provided by local-global principles. These principles offer ...

在 :numref:`proving_identities_in_algebraic_structures` 中，我们看到许多关于实数的常见恒等式适用于更一般的代数结构类，比如交换环 ...

Abstract: Among probabilistic graphical models, the class of algebraic Bayesian networks stands out. The theory of algebraic Bayesian networks is based on the decomposition of knowledge into knowledge ...

Removing brackets is to multiply the term outside the brackets by each term inside - also known as the distributive law. Use FOIL to remove a pair of brackets then simplify by collecting like terms.

Before taking a look at simplifying algebraic fractions, let's remind ourselves how to simplify numerical fractions. Sometimes the top and bottom of a fraction can be divided by the same number. This ...

An algebraic distance graph is defined to be a graph with vertices in E n in which two vertices are adjacent if and only if the distance between them is an algebraic number. It is proved that an ...

The American Journal of Psychology, Vol. 107, No. 3 (Autumn, 1994), pp. 423-439 (17 pages) Students in 11th grade (N = 208) were assessed twice on the solution of algebraic word problems that ...