Posts Tagged ‘row’
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 »
Thursday, November 12th, 2009
An Overview of Magic Squares
Description
A detailed tutorial of magic squares. Step by step tutorial including several examples of magic squares for reference.
Overview
Magic squares are a fun mathematical trick and puzzle. It is an arrangement such as 3×3, 4×4, or any other nxn pattern of numbers. Typically a magic square will contain any of the integers between 1 and n^2. Magic squares are set up so that all rows and columns, and both diagonals, add up to the same constant. It does not matter what constant it is, as long as all rows, columns, and diagonals add up to the same one.
Tags: arithmetic, column, constant, diagonal, integer, magic, n!, normal, number, perfect, real, row, square, sum, word
Posted in Arithmetic | No Comments »
Tuesday, November 10th, 2009
How to Make a Stem-and-Leaf Plot
Description
A detailed tutorial on how to make a stem-and-leaf plot. Step by step tutorial including several examples of how to make a stem-and-leaf plot for reference.
Overview
A stem-and-leaf plot is named for it’s resemblance to a tree branch. The bar down the middle is the branch, and the numbers on either side are the leaves on the branch. Like box-and-whisker plots, stem-and-leaf plots are used to organize statistical data. There should be one number on the left side of the bar, and that number should be the number in the ten’s place. If it is only a one digit number, that number should be zero. If it is a three digit number, then put two numbers on the left. Then you have the bar. On the right side of the bar, are all the numbers that are found in the hundred’s place, put once again in order of smallest to largest. They will all appear in the row with with the matching number in the ten’s place.
Tags: algebra, bar, hundreds, leaf, number, organize, place, plot, row, statistics, stem, stem-and-leaf, stemplot, tens
Posted in Algebra | No Comments »
Tuesday, November 3rd, 2009
Rule of Sarrus Explained
Description
A detailed tutorial on the Rule of Sarrus. Step by step tutorial including several examples of the Rule of Sarrus and determinants for reference.
Overview
The Rule of Sarrus is a method used to compute the determinant of a 3×3 matrix. Mathematically stated, if you are given a 3×3 matrix, you can compute the determinant by repeating the first two columns of the matrix behind the third column, so that you have 5 columns in a row. This forms a 3×5 matrix. Then you add the products of the diagonals going from top to bottom (left to right), and subtract the products going from bottom to top (left to right). This can also be used for 2×2 matrices, but the rule used is a little different.
Tags: 2x2, 3x3, 3x5, add, algebra, bottom, column, determinant, diagonal, left, matrices, matrix, product, right, row, rule, sarrus, scheme, subtract, top
Posted in Algebra | No Comments »
