Posts Tagged ‘addition’
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 »
Tuesday, November 24th, 2009
How to Find the Absolute Value of a Complex Number
Description
A detailed tutorial on the absolute value of a complex number. Step by step tutorial including several examples on the absolute value of a complex number for reference.
Overview
The absolute value of a complex number is a little different than the absolute value of a real number, because complex numbers deal with imaginary numbers. However, the answer is still a non-negative real number, just like the numbers you deal with in other math classes every day. Say that a complex number z is equal to a + bi, where i is an imaginary number. The |z| is equal to the square root of a^2 plus b^2. In other words, square both a and b, add them together, and find the square root in order to have to absolute value of a complex number z.
Tags: a, absolute, add, addition, b, complex, imaginary, number, real, root, square, squareroot, sum, trigonometry, z
Posted in Trigonometry | No Comments »
Thursday, November 19th, 2009
Overview of Computation Methods
Description
A detailed tutorial on the four basic computation methods. Step by step tutorial including several examples of the four basic computation methods for reference.
Overview
Computation methods are the way you solve expressions and equations. The four basic ones are addition, subtraction, multiplication, and division. Addition and subtraction are inverses of each other, and multiplication and division are inverses of each other. All of them are extensions of counting and can easily be solved without too much effort.
Tags: add, addition, arithmetic, basic, computate, computation, counting, divide, division, method, multiplication, multiply, subtract, subtraction
Posted in Arithmetic | No Comments »
Thursday, November 12th, 2009
How to Use Algebra Tiles
Description
A detailed tutorial on how to use algebra tiles. Step by step tutorial including several examples of how to use algebra tiles for reference.
Overview
Algebra tiles are a visual expression of polynomials and polynomial equations. Each tile is meant to represent a different polynomial. A large square tile represents the squared variable, a smaller square tile represents a single number, with no variable, and a rectangle represents the single variable. The tiles are red and green. Green represents positive monomials, and red represents negative monomials. Tiles can be combined to create equations, or the same tiles can be combined to express the coefficient. Addition and subtraction can be performed by adding and removing tiles.
Tags: addition, algebra, coefficient, cubed, green, large, negative, polynomial, positive, rectangle, red, small, square, squared, subtraction, tiles, variable
Posted in Algebra | No Comments »
Thursday, November 12th, 2009
How to Identify Perfect Numbers
Description
A detailed tutorial on how to identify perfect numbers. Step by step tutorial including several examples of perfect numbers for reference.
Overview
A perfect number is a number that is the sum of all it’s divisors (excluding the number itself, which is also a proper divisor). The way that you identify a perfect number is to find all of its divisors. Once you have them all, add them together. If they equal the number, then it is a perfect number. If they don’t, then it is not a perfect number.
Tags: add, addition, arithmetic, division, divisor, excluding, identify, integer, natural, number, perfect, proper, real, sum
Posted in Arithmetic | No Comments »
Tuesday, November 10th, 2009
Identifying Zero Polynomials
Description
A detailed tutorial on identifying zero polynomials. Step by step tutorial including several examples of identifying zero polynomials for reference.
Overview
A zero polynomial is the additive identity of an additive group of polynomials. So this means it is not a unique polynomial, even though it may seem like it. In order to identify a zero polynomial, you need to be aware of the two properties that zero polynomials possess. The first one is that all coefficients of a zero polynomial are zero, and add up to zero. The second is that a zero polynomial doesn’t have a degree – it is an undefined degree. Typically people will write this as a degree of -1, or more common, of negative infinity.
Tags: addition, additive, algebra, coefficient, degree, group, identity, infinity, negative, one, polynomial, properties, property, undefined, zero
Posted in Algebra | No Comments »
Thursday, November 5th, 2009
Definition of an Operand
Description
A detailed tutorial on the definition of an operand. Step by step tutorial including several examples of an operand for reference.
Overview
An operand can be any number. However, a number is only called an operand when there is some kind of operation being performed on it. There are simple operands and complex operands. A simple operand is what people call an operand – just one number. A complex operand is an operand that consists of an operation inside it, and therefore has at least 2 operands inside the first operand.
Tags: addition, arithmetic, complex, division, exponents, multiplication, number, operand, operation, order, parenthesis, simple, subtraction
Posted in Arithmetic | No Comments »
Friday, October 23rd, 2009
How to Solve Vectors Using Vector Subtraction
Description
A detailed tutorial on how to solve vectors using vector subtraction. Step by step tutorial including several examples of vector subtraction for reference.
Overview
Vector subtraction involves two vectors that do not have to be equal, and could have different magnitudes and directions. The vectors are referred to as a and b. The formula for vector subtraction is:
In general, vector subtraction is defined geomtrically instead of algebraically, so it is not used quite as often as vector addition is.
Tags: addition, algebra, algebraically, direction, equal, formula, geometrically, Geometry, magnitude, subtraction, vector
Posted in Algebra | No Comments »
Friday, October 23rd, 2009
How to Solve Vectors Using Vector Addition
Description
A detailed tutorial on how to solve vectors using vector addition. Step by step tutorial including several examples of vector addition for reference.
Overview
Vector addition involves two vectors that do not have to be equal, and could have different magnitudes and directions. The vectors are referred to as a and b. The formula for vector addition is:
Vector addition is also occassionally referred to as the parallelogram rule, because on a picture diagram of vector addition the shape of a parallelogram is formed.
Tags: addition, algebra, direction, equal, formula, graph, magnitude, parallelogram, picture, rule, vector
Posted in Algebra | No Comments »
Friday, October 23rd, 2009
Introduction to Vector Space
Description
A detailed tutorial on vector space. Step by step tutorial including several examples of vector space and how to solve for vector space for reference.
Overview
Vector space is simply a structure in mathematics that is formed by a collection of vectors. Vector space can be calculated using vector addition and scalar multiplication. Vector space is very dependent on the definition of a vector. Some vectors are simply arrows on a fixed plane. But in general, the term vector just means there is an object for which two operations can be performed. The definition of vector space is defined in algebraic terms, as opposed to the geometric terms that can sometimes be applied.
Tags: addition, algebra, arrow, collection, definition, Geometry, multiplication, object, operation, plane, scalar, space, vector
Posted in Algebra | No Comments »
