Posts Tagged ‘pair’
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 17th, 2009
Introduction to Orthogonal Vectors
Description
A detailed tutorial on orthogonal vectors. Step by step tutorial including several examples of orthogonal vectors for reference.
Overview
Orthogonal vectors are vectors that are perpendicular. You can determine if vectors are perpendicular by finding the dot product. If the dot product is equal to zero, then the vectors are perpendicular. In certain dimensions, it is possible for three vectors to be perpendicular to each other. In this case, all three of those vectors are considered to be orthogonal. However, in general, orthogonal vectors is a term used to describe a pair of vectors.
Tags: algebra, dot, linear, pair, perpendicular, product, space, three, three-space, two, vectors, zero
Posted in Algebra | No Comments »
Thursday, November 12th, 2009
Zero Pairs Explained
Description
A detailed tutorial on zero pairs. Step by step tutorial including several examples of how to solve equations using zero pairs for reference.
Overview
Zero pairs are a method of adding and subtracting integers, and simplifying expressions with addition and subtraction in them. A zero pair is any pair of numbers that when added or subtracted, equal zero. Based on this definition, the only numbers that can form a zero pair, besides two zeros, are a negative number n and a positive number n. When in equations, zero pairs can be cancelled out, therefore simplifying the expression. This is very useful when more complicated equations are given.
Tags: adding, arithmetic, cancelled, difference, equation, expression, integer, negative, number, pair, positive, simplification, simply, subtracting, sum, zero
Posted in Arithmetic | 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 »
Thursday, October 1st, 2009
Definition of an Abscissa
Description
A detailed tutorial of the definition of an abscissa. Step by step tutorial including several examples of the definition of an abscissa for reference.
Overview
An abscissa is not a term commonly heard in math, but it is something that most of us are familar with. An abscissa is the first number or element in an ordered pair – pair implying that there are only two values. A well known example is a Cartesian coordinate (x, y). “x” is the abscissa in this case.
Tags: abscissa, cartesian, coordinate, element, First, Geometry, graph, Math, number, ordered, pair, term, value, x
Posted in Geometry | No Comments »
Friday, September 18th, 2009
How to Solve Telegrapher’s Equations
Description
A detailed tutorial on the solving of Telegrapher’s Equations. Step by step tutorial including several examples of how to solve Telegrapher’s Equations for reference.
Overview
Telegrapher’s Equations, sometimes referred to simply as telegraph equations, are a pair of differential equations which meausre the voltage and current on a transmission line with regard to distance and time. An example would be a telegraph, hence the name. Instead of having an actual set of equations, Telegrapher’s Equations tend to more oftenbe expressed as a schematic, with the equations only being used for things such as loops and transmissions.
Tags: attenuation constant, differential equations, distance, loops, magnetic field, pair, phase constant, Physics, primary line constants, propagation constant, Science, telegraph, telegraph equations, telegrapher's equations, time, transmission
Posted in Differential Equations | No Comments »
