Posts Tagged ‘Math’
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
Indentifying Prime Polynomials
Description
A detailed tutorial on how to identify prime polynomials. Step by step tutorial including several examples of identifying prime polynomials for reference.
Overview
Prime polynomials are any polynomial that cannot be factored. Just like a number is prime if you can not break it down into two seperate whole numbers to multiply, a polynomial is prime if you cannot break it down into two separate binomials with whole numbers to multiply. When you run into a prime polynomial when trying to solve a quadratic equation, you cannot use the factoring method. what the factoring method does is split the polynomials into a binomial, which cannot be done to a prime polynomial. If you have a prime polynomial, you have to use the quadratic formula to solve it. At first, you can spot prime polynomials by attempting to factor it, but eventually you will be able to do it just by looking at it.
Tags: algebra, binomial, equation, factoring, formula, Math, multiply, number, polynomial, prime, quadratic, whole
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
Introduction to Zero and Undefined Slopes
Description
Detailed tutorial on undefined and zero slopes. Step by step tutorial including several examples of zero and undefined slopes for reference.
Overview
Zero and undefined slopes are both slopes that do have a definite value to them. They represent very uinigue graphs and lines. A zero slope is a slope of zero over anything – meaning it has a run, but no rise. It is a zero slope because zero divided by anything is simply zero. Zero slopes form horizontal lines. An undefined slope is a slope of anything over zero – meaning it has a rise, but no run. It is an undefined slope because nothing can be divided by zero. Undefined slopes form vertical lines.
Tags: arithmetic, graph, horizontal, line, Math, rise, run, slope, undefined, value, vertical, zero
Posted in Arithmetic | 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
Witch of Agnesi Explained
Description
A detailed tutorial of the Witch of Agnesi. Step by step tutorial including a visual example of the Witch of Agnesi for reference.
Overview
The Witch of Agnesi is actually a curve. This curve can be a circle, or it can be a regular curve. The movement of the curve flows up and down, and the curve itself changes as it moves. This curve is defined by the Cartesian equation 
.
It is called the Witch of Agnesi by a simple mistranslation into English. This curve was named in Italian – la versiera di Agnesi, which means the Curve of Agnesi. When translating the name, “la versiera” was accidentally read as “l’awersiera”, which means a woman who is contrary to God, or a demon or witch. Hence it was called the Witch of Agnesi.
Tags: Calculus, cartesian, circle, curve, equation, l'awersiera di Agnesi, la versiera di Agnesi, Maria Agnesi, Math, Witch of Agnesi, Witch of Maria Agnesi
Posted in Calculus | No Comments »
Friday, October 9th, 2009
Mathematical Application of the Queueing Theory
Description
A detailed tutorial on the queueing theory. Step by step tutorial including several examples of the queueing theory for reference.
Overview
The queueing theory is the study of waiting lines – from a mathematical point of view. Because of this, it is sometimes called the waiting-line theory. It is the mathematical process of arriving at the back of the line, waiting in the line, and getting to the front of the line. We should be familiar with this – it happens every time we go out shopping. But by using the queueing theory, you will be able to tell how long you will be stuck in that line for – instead of waiting to find out! In a mathematical sense, you will be able to figure out the probability of how many people are waiting in line, and how long you will be waiting in line.
Tags: algebra, line, Math, mathematical, probability, queue, queueing, queuing, theory, time, waiting
Posted in Algebra | 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 »
Friday, October 9th, 2009
Ordered Pairs Explained
Description
A detailed tutorial on ordered pairs. Step by step tutorial including several examples of how to solve problems using ordered pairs for reference.
Overview
An ordered pair is a set of two elements that is in a specific order, that is, (a, b) would be different from (b, a), unless a = b. In ordered pairs, the order of the elements are extremely important. And example of a well-known ordered pair would be a Cartesian coordinate.
Tags: a, arithmetic, b, cartesian, coordinate, element, equals, graph, Math, order, ordered pair, pair, set
Posted in Arithmetic | No Comments »
