Posts Tagged ‘Euclidean’
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 »
Tuesday, October 27th, 2009
Introduction to Minkowski Space
Description
A detailed tutorial of the application of Minkowski space. Step by step tutorial including several examples of Minkowski space for reference.
Overview
Minkowski space, sometimes referred to as Minkowski spacetime, is the setting in which Einstein’s theory of relativity was formed. Three ordinary dimensions of space are combined with a single dimension of time. This makes Minkowski space a four-dimensional manifold for representing spacetime. Minkowski space is often contrasted with Euclidean space because they are the same, except that Euclidean space has no dimension of time, and Minkowski space does.
Tags: algebra, dimension, Einstein, Euclidean, manifold, Minkowski, relativity, space, spacetime, theory, time
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
Definition of a Null Vector
Description
A detailed tutorial on the definition of a null vector. Step by step tutorial including several examples of null vectors for reference.
Overview
A null vector is a vector that has no direction. It is placed at the coordinates (0, 0, 0) in Euclidean space. Another name for a null vector is a zero vector. Although the null vector is the only vector that has no direction, we cannot say that the null vector is unique because more than one vector has the possibility of being null.
Tags: 0, algebra, arrow, coordinates, direction, Euclidean, length, magnitude, null, space, vector, zero
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
Overview of Euclidean Vectors
Description
A detailed tutorial on Euclidean vectors. Step by step tutorial including several examples and visual examples of Euclidean vectors for reference.
Overview
A vector is a geometric object that has both a magnitude (also known as the length) and a direction. They are usually drawn as arrows that have a similar starting point and connect two points together. The difference between different kinds of vectors is what coordinate system is used to describe them. Euclidean vectors are vectors that are described by the Cartesian coordinate system.
Tags: algebra, arrow, cartesian, coordinate, direction, Euclidean, geometric, graph, initial, length, magnitude, point, system, terminal, vector
Posted in Algebra | No Comments »
Friday, October 23rd, 2009
How to Find the Length of a Vector
Description
A detailed tutorial on finding the length of a vector. Step by step tutorial including several examples of how to find the length of a vector for reference.
Overview
The length of a vector is also known as the magnitude of a vector. This can be compared to the absolute value of a real number. In order to find the length of a vector, you need to use the Euclidean norm:
The Euclidean norm is a consequence of the Pythagorean theorem.
Tags: absolute value, algebra, consequence, Euclidean, length, magnitude, norm, pythagorean, theorem, vector
Posted in Algebra | No Comments »
