Tuesday, October 20th, 2009
Families of Sets in Set Theory
Description
A detailed tutorial on families of sets. Step by step tutorial including several examples of families or collections of sets for reference.
Overview
Families of sets are closely linked with indexed sets – the only sets that can be indexed are families of sets. A family of sets is basically a set of sets. An example would be a power set (the set of all subsets of a set). Unions and intersections can also be performed with families of sets. Instead of concerning just two sets, they concern every single set in the family of sets. The union and intersection over a family of sets are known as extended set operations.
Tags: collections, discrete math, elements, extended, families, index, indexed, intersection, operations, power set, set, set theory, subset, union
Posted in Discrete Math | No Comments »
Friday, October 2nd, 2009
Definition of the Index of a Radical Expression
Description
A detailed tutorial on the definition of the index of a radical expression. Step by step tutorial including several examples of the index of a radical expression for reference.
Overview
A radical expression is what most people know as a square root. The number, variable, or expression inside the square root symbol is referred to as the radicand. What some of you may not realize is that not only are there square roots, there are cube roots, and several other types of roots. These are the exact opposite functions of the exponents. A square root should technically have a little number two on the outside left of the square root symbol. A cube root would have a three there – any number can go there. That is the index.
Tags: arithmetic, cube root, exponent, expression, index, Math, radical, radicand, root, square root, symbol
Posted in Arithmetic | No Comments »
