Posts Tagged ‘point’
Friday, December 18th, 2009
An Overview of Topology
Description
A detailed tutorial on the mathematical study of topology. Step by step tutorial including several examples of topology for reference.
Overview
Topology is a study in mathematics that deals with space and spatial properties of objects. There are several different types of topology. The most common topics, called subtopics, are point-set topology, algebraic topology, geometric topology, and low dimensional topology. Topology may be a familiar sounding name to you – doubtless you have heard of a “topographical map,” used in science classes. However, the way the topographic map is created is with the study of math known as topology.
Tags: algebra, algebraic, dimensional, geometric, low, map, point, point-set, set, study, subtopic, topic, topological, topology
Posted in Algebra | No Comments »
Tuesday, November 24th, 2009
How to Calculate the Angle of Depression
Description
A detailed tutorial on calculating the angle of depression. Step by step tutorial including several examples of the angle of depression for reference.
Overview
The angle of depression is the angle at which a person must be looking in order to see an object that is lower than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base, when the base of the triangle is actually located at the top of the figure. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.
Tags: angle, calculate, cosine, depression, horizontal, line, lower, object, point, right, sine, SOHCAHTOA, tangent, triangle, trig, trigonometry
Posted in Trigonometry | No Comments »
Tuesday, November 24th, 2009
How to Calculate the Angle of Elevation
Description
A detailed tutorial on how to calculate the angle of elevation. Step by step tutorial including several examples of the angle of elevation for reference.
Overview
The angle of elevation is the angle at which a person must be looking in order to see an object that is higer than the observer. Typically, the angle of elevation is a term used in trigonometry, when calculating angles of a right triangle. In a right triangle, the angle of elevation is the angle between the hypotenuse and the base. It can be calculated by using SOHCAHTOA and solving for the sine, cosine, or tangent.
Tags: angle, calculate, cosine, elevation, higher, horizontal, line, object, point, right, sine, SOHCAHTOA, tangent, triangle, trig, trigonometry
Posted in Trigonometry | 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 »
Thursday, November 19th, 2009
How to Determine the Center of a Circle
Description
A detailed tutorial on how to determine the center of a circle. Step by step tutorial including several examples of the center of a circle for reference.
Overview
The center of the circle is very easy to find. It is one of the endpoints of the radius and the midpoint of the diameter. The video shows you how to find it based on a series of accurate drawing. However, there is a mathematical way to find the center of the circle, which is also sometimes called the origin of the circle. Just use the midpoint formula with the diameter. If you have the radius just multiply it by two, because you cannot use the distance formula without already having the coordinates of the origin.
Tags: center, circle, coordinates, diameter, distance, endpoint, formula, mathematical, midpoint, origin, point, radius
Posted in Algebra | No Comments »
Thursday, November 19th, 2009
Finding the Altitude of a Triangle
Description
A detailed tutorial on how to find the altitude of a triangle. Step by step tutorial including several examples of how to find the altitude of a triangle for reference.
Overview
The altitude is just a way of saying the height of something. Typically, the term altitude is only used to refer to triangles. In triangles, the altitude is a little different from the height. Unlike the height, the altitude can be taken from three points of the triangle – it can be taken through the center of any of the three vertexes of the triangle. The altitude goes from the vertex to the line across from it, forming a right angle with that line. All three altitudes should intersect at a common point in the center of the triangle, known as the orthocenter.
Tags: altitude, angle, center, edge, Geometry, height, intersect, line, orthocenter, perpendicular, point, triangle, vertex
Posted in Geometry | No Comments »
Tuesday, November 17th, 2009
Overview of the Break-Even Point
Description
A detailed tutorial on the break-even point. Step by step tutorial including several examples of the break-even point for reference.
Overview
The break-even point is used very often in business math and accounting, and first appears in basic algebra classes. The break-even point is where the cost of something equals the revenue. In other words, the break-even point is where there is no profit lost or gained on a transaction. Most businesses aim to get above the break-even point, although they will at least aim for it so they do not fall below it.
Tags: accounting, algebra, break, break-even, business, cost, equals, even, fixed, function, gained, lost, point, price, profit, revenue, variable
Posted in Algebra | No Comments »
Thursday, November 5th, 2009
Saddle-Point Approximation Explained
Description
A detailed tutorial on saddle-point approximation. Step by step tutorial including several examples of saddle-point approximation for reference.
Overview
Saddle-point approximation is also referred to as the method of steepest descent and Laplace’s method. It is a way of approximating integrals in the form 
. f(x) is some twice-differentiable function, M is a large number, and the integral endpoints a and b have a possibilty of being infinite.
Tags: a, approximation, b, Calculus, descent, differentiable, function, infinite, infinity, integral, Laplace, large, m, method, number, point, saddle, saddle-point, steepest, twice, twice-differentiable
Posted in Calculus | No Comments »
Thursday, November 5th, 2009
Introduction to Projections
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Description
A detailed tutorial on projections. Step by step tutorial including several examples of what a projection is for reference.
Overview
A projection is another term for a transformation. But a projection is a different kind of transformation than a real transformation is. A projection is a transformation of points and lines from one plane to another plane. This is done by connecting corresponding points on the planes with parallel lines. Typically projections are used with vectors, which are entirely composed of points and lines.
Tags: corresponding, dot, infinity, lines, parallel, plane, point, product, projection, transformation, vector
Posted in Algebra | No Comments »
Friday, October 30th, 2009
How to Determine the Point of Discontinuity
Description
A detailed tutorial on determining the point of discontinuity. Step by step tutorial including several examples of how to determine the point of discontinuity for reference.
Overview
A point of discontinuity is where the graph of a function is discontinuous – this means the graph has a breaking point in it, it break off for a while and starts again somewhere else, or there is a small open circle somewhere on the graph, which would be an actual point of discontinuity. In mathematical terms, the point of discontinuity is the point at which the graph of the function is undefined. Simply look a value of x that will make the function undefined, and that is your point of discontinuity. This is easiest to determine when your function is a fraction.
Tags: a, algebra, break, discontinuity, discontinuous, fraction, function, graph, point, start, stop, undefined, x
Posted in Algebra | No Comments »
