Posts Tagged ‘parameter’
Thursday, November 5th, 2009
How to Use Parametrization
Description
A detailed tutorial on how to use parametrization. Step by step tutorial including several examples of how to use parametrization for reference.
Overview
Parametrization can be used in many different branches of math, including algebra and calculus. Parametrization involves setting up parameters necessary for the complete or relevent specification of a geometric object. This means it is only used when calculating a shape or part of a shape, because that is what a geometric object is. Sometimes, this is nothing more than identifying the parameters. Other times it becomes an involved mathematical process that is used to find out what the parameters are.
Tags: Calculus, complete, decide, deciding, define, defining, differential equations, geometric, identify, identifying, parameter, parametrization, relevent, set, setting, shape, specification, vector
Posted in Differential Equations | No Comments »
Tuesday, September 29th, 2009
Definition of a Hypocycloid
Description
A detailed tutorial on the definition of a hypocycloid. Step by step tutorial including a visual example of the definition of a hypocycloid for reference.
Overview
A hypocycloid is not really an equation, or a graph, or any true function. A hypocycloid is simply a representation of the edge of a wheel or other circular item rolling on the inside of a circle to form curves. What is more noticeable than the curves it forms is the shape enclosed by the curves, which is almost like a stretched out diamond. This stretched out shape is the real hypocycloid.
Tags: brachistochrone problem, Calculus, circle, circular wheel, curves, cycloid, epicycloid, hypocycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, round, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »
Tuesday, September 29th, 2009
Definition of an Epicycloid
Description
A detailed tutorial on the definition of an epicycloid. Step by step tutorial including a visual example of the definition of an epicycloid for reference.
Overview
An epicycloid is not really an equation, or a graph, or any true function. An epicycloid is simply a representation of the edge of a wheel or other circular item rolling along the edge of a circle to form curves. The curve it forms is really several concave down curves side by side, in a circular pattern.
Tags: brachistochrone problem, Calculus, circle, circular wheel, curves, cycloid, epicycloid, hypocycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, round, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »
Tuesday, September 29th, 2009
Definition of a Cycloid
Description
A detailed tutorial on the definition of a cycloid. Step by step tutorial including a visual example of the definition of a cycloid for reference.
Overview
A cycloid is not really an equation, or a graph, or any true function. A cycloid is simply a representation of the edge of a wheel or other circular item rolling in a straight line to form curves. The curve it forms is really several concave down curves side by side.
Tags: brachistochrone problem, Calculus, circle, circular wheel, cycloid, Math, parameter, polar coordinates, polar graph, radians, roulette, tautochrone problem, The Helen of Geometers
Posted in Calculus | No Comments »