Posts Tagged ‘variable’
Friday, October 9th, 2009
Introduction to Linear Regression
Description
A detailed tutorial on linear regression. Step by step tutorial including several example problems of linear regression for reference.
Overview
Regression is a type of analysis that is used for analyzing several variables when the focus is on a dependent variable and one or more independent variables. Linear regression is when the dependent variable is a linear combination of the parameters. It can be used for both straight lines and parabolas, and each has a different formula.
Straight Line: 
Parabola: 
Tags: algebra, analyzing, combination, dependent, focus, independent, line, linear, Math, parabola, parameters, regression, straight, variable
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Overview of the Zero-Factor Property
Description
A detailed tutorial on solving problems using the zero-factor property. Step by step tutorial including several examples of the zero-factor property for reference.
Overview
The zero-factor property is very closely linked to solving quadratic equations by factoring. The zero-factor property takes place very close to the end of the problem. Once you have finished factoring, you are usually left with two binomials that are being multiplied. The zero-factor property involves setting each of these binomials equal to zero separately. This allowes you to solve for two different values of x. This works on anything that has more than one term with the same variable being multiplied together. The reason it works is that if you multiply anything by zero, the answer is zero. So all you need to do is set the separate parts equal to zero, and it is just as good as solving for the whole thing at one time.
Tags: algebra, binomials, equation, factor, factoring, Math, multiplication, Polynomials, property, quadratic, variable, zero, zero-factor
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Definition of a Semiperimeter
Description
A detailed tutorial of what a semiperimeter is. Step by step tutorial including a visual example of a semiperimeter for reference.
Overview
In geometry, a semiperimeter of a polygon (squares, rectangles, triangles, or any closed and none-rounded shape) is simply half a perimeter – like a radius would be for a circle, almost. If you already have the perimeter of the figure, you can easily obtain the semiperimeter by dividing it in half. The semiperimeter is given its own seperate variable and identity because it is used sometimes in mathematical equations, such as Heron’s formula.
Tags: divide, Geometry, Heron's Formula, identity, Math, perimeter, polygon, semiperimeter, side, variable
Posted in Geometry | No Comments »
Friday, October 9th, 2009
Notation in Set Theory
Description
A detailed tutorial of the notation in set theory. Step by step tutorial including several examples of the notation in set theory for reference.
Overview
The notation for set theory, also called set notation or set-builder notation, is simple. It consists of a special curled bracket enclosing the elements of the set. It also includes a variable, x. When using the notation for set theory, your elements will be arranged such as {x|x = …}. You could have what x is equal to, what x in not equal to, you could say that x is less than or greater than something, or that x must be something. Whatever x is, is part of your set. If x is a natural number less than 2, then your only element is 1. Reading the set and writing the set is not difficult, but can be confusing if you don’t understand that all x stands for is all the elements of the set, and has no significance outside of that.
Tags: bracket, discrete math, elements, equals, Math, notation, set, set-builder, theory, variable, x
Posted in Discrete Math | No Comments »
Friday, October 9th, 2009
How to Solve Literal Equations
Description
A detailed tutorial on solving literal equations. Step by step tutorial including several examples of how to solve literal equations for reference.
Overview
A literal equation is any mathematical equation that contains more than one variable. This can mean an equation that just has 2 variables, or one that has more than two – this can also include equations that only have variables, and no real numbers. This usually involves a technique called replacing. This is when you solve for one variable, and find the answer which will have other variables in it. Then replace that variable in the equation. Eventually you will be left with one variable, and you can then put the number value for it in your equation, and find the answer for all of your variables. This technique only works if you have at least one real number in your equation.
Tags: algebra, equation, literal, Math, more than one, order of operations, real number, repeat, replace, replacing, variable
Posted in Algebra | No Comments »
Thursday, October 8th, 2009
Inverse Variation Explained
Description
A detailed tutorial on inverse variation. Step by step tutorial including several examples of inverse variation and what inverse variation is for reference.
Overview
Inverse variation states that two variables are inversely proportional if one of the variables is directly proportional with the multiplicative inverse of the other, or equivilently if their product is a constant. Inverse variation can be expressed mathematically as y = k / x, where x and y are the variables and k is a nonzero constant
Tags: constant, direct, division, inverse, k, Math, multiplicative inverse, non-zero, proportionality, reciprocal, statistics, variable, variation, x, y
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Direct Variation Explained
Description
A detailed tutorial on direct variation. Step by step tutorial including several examples of direct variation and what direct variation is for reference.
Overview
Direct variation states that given two variables x and y, y is directly proportional to x if there is a non-zero constant k such that y = k * x. The variable k is referred to as the proportionality constant or the constant of proportionality.
Tags: constant, direct, inverse, k, Math, non-zero, proportionality, statistics, variable, variation, x, y
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Combined Variation Explained
Description
A detailed tutorial on combined variation. Step by step tutorial including several examples of combined variation and what combined variation is for reference.
Overview
Combined variation refers to using both direct variation and inverse variation at the same time. Combined variation can be expressed as y = (k * x) / (z^2). Typically when both direct and inverse variation are being used, the same variable will variate directly at one point and inversely at another.
Tags: combine, combined variation, direct, inverse, k, Math, point, statistics, variable, variation, x, y, z
Posted in Statistics | No Comments »
Thursday, October 8th, 2009
Joint Variation Explained
Description
A detailed tutorial on joint variation. Step by step tutorial including several examples of joint variation and what joint variation is for reference.
Overview
Joint variation is the same as direct variation, only it is occuring for more than one variable, while direct variation only deals with one variable. Because of the similarities, joint variation is performed in the same way as direct variation, although for two variables and not one. Joint variation can be expressed as d = r * t.
Tags: d, direct, joint, joint variation, Math, one, r, similar, similarties, statistics, t, two, variable, variation
Posted in Statistics | No Comments »
Tuesday, October 6th, 2009
Fourier Transforms Explained
Description
A detailed tutorial on Fourier transforms. Step by step tutorial including several examples of Fourier transforms for reference.
Overview
A Fourier transform is an operation that transforms one complex-valued function of a real variable into another. The domain of the original function is typically referred to as the time domain, because it is a representation of time. The domain of the new function represetns frequency. The Fourier transform itself is often called the frequency domain representation of the original function because of this.
Tags: complex, differential equations, domain, Fourier, frequency, function, Math, Physics, real, Science, time, tranform, value, variable
Posted in Differential Equations | No Comments »
