Posts Tagged ‘common’
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 19th, 2009
Overview of Vector Transformations
Description
A detailed tutorial of vector transformations. Step by step tutorial including several examples of vector transformations for reference.
Overview
Vector transformations are not as difficult as one mught think – they are done just like ordinary transformations, except in terms of vectors. Rotation is one of the main types of vector transformations, and is the most common one that is done. In order for a vector to be properly transformed, they must satisfy the orthogonality condition.
Tags: algebra, angle, common, condition, cosine, degrees, linear, orthogonality, properly, ray, rotation, solution, tranformations, vector
Posted in Algebra | No Comments »
Thursday, November 19th, 2009
How to Find the Common Ratio of a Geometric Series
Description
A detailed tutorial on how to find the common ratio of a geometric series. Step by step tutorial including several examples of the common ratio for reference.
Overview
The common ratio is part of a geometric series, used commonly in calculus. The common ratio is the ratio of each term to the next – in other words, the common ratio is the pattern that the series or sequence follows. This is possible because in a geometric series, terms are only being multiplied by one number to get the next number, and it is always the same number. If a series is not geometric, it will not have a common ratio.
Tags: Calculus, common, geometric, multiplication, multiply, number, pattern, ratio, sequence, series, term
Posted in Calculus | No Comments »
Friday, November 13th, 2009
Overview of Polyhedrons
Description
A detailed tutorial on polyhedrons. Step by step tutorial including several examples and a visual example of polyhedrons for reference.
Overview
Mathematicians have not yet decided what truely makes something a polyhedron, but in general they are accepted to be some 3D geometrical figure that has sides or faces, and usually at least one base. There are regular polyhedrons, which have all the same polygon making up their faces, and irregular polyhedrons – which are actually more common – where there are 2 or more shapes in them.
Tags: base, common, decagon, face, figure, geometrical, Geometry, hexagon, irregular, pentagon, polygon, polyhedron, regular, shape, side, square, triangle
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
Definition of Skew Lines
Description
A detailed tutorial on skew lines. Step by step tutorial including several examples and a visual example of skew lines and what they are for reference.
Overview
Skew lines are two lines that do not intersect and are not parallel. In general, these lines have nothing in common. Think of dropping two sticks on the ground from high up. Provided they do not intersect each other (cross or touch each other in any way), those sticks are now a perfect example of skew lines. Typically, these lines are also not found in the same plane. Skew lines can only exist in three or more dimensions.
Tags: arithmetic, common, cross, different, dimension, Geometry, intersect, line, lines, nothing, parallel, plane, skew, three, touch
Posted in Arithmetic | No Comments »
Thursday, November 12th, 2009
How to Estimate Values
Description
A detailed tutorial on how to estimate values. Step by step tutorial including several examples of estimating values for reference. Knowledge of estimation is required throughout your mathematical education.
Overview
Estimation is when someone makes an educated guess about something. In mathematics, that something is often the true value of a number. It is usually best to find the exact answer, instead of using estimation, but if there is no way to find an exact answer, then estimation can come in very useful. There are several techniques that make estimation a little easier; most of them are simply common knowledge that you just need to look for. Many people accurately give the nickname “guesstimation” to estimation.
Tags: answer, arithmetic, common, educated, estimate, estimation, exact, guess, guesstimate, guesstimation, knowledge, number, techniques, true, value
Posted in Arithmetic | No Comments »
Friday, October 30th, 2009
Introduction to the Euclidean Algorithm
Description
A detailed tutorial on the Euclidean algorithm. Step by step tutorial including several examples of the Euclidean algorithm for reference.
Overview
The Euclidean algorithm, sometimes referred to as Euclid’s algorithm, is the most efficient way of determining the greatest common factor of two numbers. The greatest common factor of two numbers is the largest number that divides them both evenly. The Euclidean algorithm is used in a series of steps – it follows a pattern that helps to find numbers and their factors with accuracy.
Tags: algebra, algorithm, common, divides, divisor, Euclid, Euclidean, evenly, factor, greatest, highest, negative, pattern, positive, remainder, steps
Posted in Algebra | No Comments »
Thursday, October 29th, 2009
How to Identify Coprime Numbers
Description
A detailed tutorial on identifying coprime numbers. Step by step tutorial including several examples of how to identify coprime numbers for reference.
Overview
Two numbers are considered to be coprime, or relatively prime, if they have no common positive factor other than 1, or if their greatest common divisor is 1. Sometimes the notation for perpendicular is used to say that a number A is coprime to another number B. The term coprime was invented because the numbers are prime together, but are not prime themselves. A prime number can be coprime with any number.
Tags: arithmetic, common, coprime, divisor, factor, greatest, notation, number, one, perpendicular, positive, prime, relatively
Posted in Arithmetic | No Comments »
Friday, October 23rd, 2009
Overview of the Dot Product
Description
A detailed tutorial of the dot product. Step by step tutorial including several examples of the dot product of a vector for reference.
Overview
The dot product of two vectors always ends up being a scalar. In mathematical terms, this is ![<span style="font-size: x-small;">\mathbf{a}\cdot\mathbf{b}=\left\|\mathbf{a}\right\|\left\|\mathbf{b}\right\|\cos\theta[</span>/latex]. In this case, theta is the measure of the angle between a and b. The definition of a dot product given geometrically is that a and b have a common starting point and that the length of a is multiplied by the component in b that points in the same direction as a. Algebraically, it can be said that [latex]<span style="font-size: x-small;">\mathbf{a} \cdot \mathbf{b} = a_1 b_1 + a_2 b_2 + a_3 b_3.</span>](http://s.wordpress.com/latex.php?latex=%3Cspan%20style%3D%22font-size%3A%20x-small%3B%22%3E%5Cmathbf%7Ba%7D%5Ccdot%5Cmathbf%7Bb%7D%3D%5Cleft%5C%7C%5Cmathbf%7Ba%7D%5Cright%5C%7C%5Cleft%5C%7C%5Cmathbf%7Bb%7D%5Cright%5C%7C%5Ccos%5Ctheta%5B%3C%2Fspan%3E%2Flatex%5D.%20In%20this%20case%2C%20theta%20is%20the%20measure%20of%20the%20angle%20between%20a%20and%20b.%20The%20definition%20of%20a%20dot%20product%20given%20geometrically%20is%20that%20a%20and%20b%20have%20a%20common%20starting%20point%20and%20that%20the%20length%20of%20a%20is%20multiplied%20by%20the%20component%20in%20b%20that%20points%20in%20the%20same%20direction%20as%20a.%20Algebraically%2C%20it%20can%20be%20said%20that%20%5Blatex%5D%3Cspan%20style%3D%22font-size%3A%20x-small%3B%22%3E%5Cmathbf%7Ba%7D%20%5Ccdot%20%5Cmathbf%7Bb%7D%20%3D%20a_1%20b_1%20%2B%20a_2%20b_2%20%2B%20a_3%20b_3.%3C%2Fspan%3E&bg=ffffff&fg=000000&s=0 "<span style=\"font-size: x-small;\">\mathbf{a}\cdot\mathbf{b}=\left\|\mathbf{a}\right\|\left\|\mathbf{b}\right\|\cos\theta[</span>/latex]. In this case, theta is the measure of the angle between a and b. The definition of a dot product given geometrically is that a and b have a common starting point and that the length of a is multiplied by the component in b that points in the same direction as a. Algebraically, it can be said that [latex]<span style=\"font-size: x-small;\">\mathbf{a} \cdot \mathbf{b} = a_1 b_1 + a_2 b_2 + a_3 b_3.</span>")
Tags: algebra, algebraically, angle, common, component, cosine, direction, dot, geometrically, initial, inner, length, mulitplied, point, product, scalar, starting, vector
Posted in Algebra | No Comments »
