Tuesday, December 29th, 2009
How to Construct a Cayley Table
Description
A detailed tutorial on how to construct a Cayley table. Step by step tutorial including several examples of how to construct a Cayley table for reference.
Overview
A Cayley table is a table that expresses the structure of a finite set. A Cayley table is set up by having the elements of the set across the first row, and numbers going in a numerical order of n + 1 starting at 1 down the first column. Sometimes the table is simply different ways the elements can be ordered. Other times is is a true table, where an operation is performed between two numbers in the space where they cross each other. However, a true Cayley table must be constructed using an identity skeleton. Once an identity skeleton for the finite set has been decided on, the Cayley table can be filled out using the identity skeleton. Since there is more than one possible identity skeleton for a finite set, you may have to go through a trial and error process until you find the right one.
Tags: addition, Cayley, chart, column, cross, discrete math, division, elements, error, finite, graph, identity, multiplication, operation, order, process, row, set, skeleton, subtraction, table, trial
Posted in Discrete Math | No Comments »
Thursday, December 10th, 2009
How to Join Tables and Charts
Description
A detailed tutorial on how to join tables and charts. Step by step tutorial including several examples on how to join tables and charts for reference.
Overview
A table, also referred to as a chart, is a way to record certain information so you can match it up quickly. They are very useful and are used in business all the time. It is possible to join certain tables. Provided that the tables share at least one common element, it is possible to combine them to form a new chart. Typically when you join tables you will either increase your columns and decrease your rows, or increase your rows and decrease your columns, depending on what way your graph is oriented and what elements are the same. Sometimes rows or columns may remain the same, but if both remain the same, then that means there is no join – it means you have the same exact chart.
Tags: algebra, business, chart, column, combine, common, decrease, element, graph, increase, information, join, record, row, table
Posted in Algebra | No Comments »