Posts Tagged ‘arrow’
Thursday, December 24th, 2009
Finding the Function of a Directed Graph
Description
A detailed tutorial on finding the function of a directed graph. Step by step tutorial including several examples of finding functions of digraphs for reference.
Overview
A directed graph, more commonly known as a digraph, is the visual representation of a function or of a relation. As in any graph, there are points and lines – called vertices and edges in a digraph. Each edge has an arrow pointing to a vertex. The first vertex – the one the arrow comes from – is the x coordinate of an ordered pair. The second vertex – the one the arrow is pointing to – is the y coordinate of an ordered pair. In the case of double-sided arrows, two ordered pairs are made, with the x and y coordinates switching. This is done for every single vertex and edge on the graph.
Tags: arrow, coordinate. ordered, digraph, directed, discrete math, double, edges, expression, First, function, graph, lines, pair, points, relation, representation, second, side, vertex, vertices, visual, x, y
Posted in Discrete Math | No Comments »
Tuesday, November 10th, 2009
Identifying Concave Polygons
Description
A detailed tutorial on identifying concave polygons. Step by step tutorial including several examples of how to identify concave polygons for reference.
Overview
Concave polygons are polygons that seem to curve inwards. They may appear rather small compared to convex polygons. The best way to identify a concave polygon is to check for a reflex angle. A reflex angle looks like an obtuse angle, or an arrow cutting into the figure. Concave polygons have reflex angles, convex polygons don’t.
Tags: angle, arrow, concave, curve, Geometry, in, obtuse, polygon, reflex, small
Posted in Geometry | No Comments »
Thursday, November 5th, 2009
Transpose of a Vector Explained
Description
A detailed tutorial on the transpose of a vector. Step by step tutorial including several examples of the transpose of a vector for reference.
Overview
The transpose of a vector is very similar to the transpose of a matrix, because even though the function the operation is being performed on changes, the operation itself doesn’t change. When you transpose a vector, it is just a way of saying the the column of your vector becomes a row, or the row of your vector becomes a column. Transposing vectors is not done very often, but it is still an important part of linear algebra.
Tags: algebra, angle, arrow, change, columns, flip, function, operation, ray, reflect, rows, transpose, vector
Posted in Algebra | No Comments »
Thursday, October 29th, 2009
Definition of a Terminal Point
Description
A detailed tutorial on the definition of a terminal point. Step by step tutorial including several examples of terminal points for reference.
Overview
A terminal point is just a way of saying the ending point. The terminal point of a line or a figure is the point where it ends. The term terminal point is used often when talking about vectors – they end at the terminal point. The terminal point is referred as the head of the vector.
Tags: arithmetic, arrow, direct, ending, figure, head, initial, line, point, ray, segment, starting, tail, terminal, vector
Posted in Arithmetic | No Comments »
Thursday, October 29th, 2009
Definition of an Initial Point
Description
A detailed tutorial on the definition of an initial point. Step by step tutorial including several examples of initial points for reference.
Overview
An initial point is just a way of saying the starting point. The initial point of a line or a figure is the point where it begin. The term initial point is used often when talking about vectors – they start at the initial point. The initial point is referred as the tail of the vector.
Tags: arithmetic, arrow, direct, ending, figure, head, initial, line, point, ray, segment, starting, tail, terminal, vector
Posted in Arithmetic | 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
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 »
