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 »
Friday, November 20th, 2009
Overview of the Vertices of a Graph
Description
A detailed tutorial on the vertices of a grpah. Step by step tutorial including several examples of the vertices of a graph for reference.
Overview
The vertices of a graph are the number of lines extending from points on the graph. This is not the total number of edges – it is the number of edges extending from each point all added together. Each point has at least one vertex. Not every single point can have an odd number of vertices, and all the vertices cannot add up to an odd number, or it is not considered to be the graph of a function.
Tags: add, discrete math, edges, even, extending, function, graph, line, odd, point, vertex, vertices
Posted in Discrete Math | No Comments »
Tuesday, October 13th, 2009
Overview of Superelevation
Description
A detailed tutorial on superelevation. Step by step tutorial including a visual example of superelevation of a road for reference.
Overview
The superelevation of a road or of a railway is the difference in elevation between the two edges. A non-zero superelevation – meaning that the edges of the road or railway are at different heights – allows for a bank turn, letting vehicles traverse the turns at higher speeds than would otherwise be possible. Superelevation is sometimes referred to as the cant of a road or railway. An important calculation in superelevation is the maximum speed of a vehicle on a curved road. It is determined by the formula 
.
Tags: algebra, banked turn, camber, cant, cross slope, curved, edges, elevation, height, Math, railway, road, speed, superelevation, track, train, vehicle, zero
Posted in Algebra | No Comments »
