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# What is PARAMETERIZATION IN MATH?

Parameter (from the Ancient Greek παρά, "para", meaning "beside, subsidiary" and μέτρον, "metron", meaning "measure") can be interpreted in mathematics, logic, linguistics, environmental science and other disciplines. In its common meaning, the term is used to identify a characteristic ...
http://en.wikipedia.org/wiki/Parameter
Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.
http://www.mathsisfun.com/definitions/parameter.html
Parametrization invariance implies that either the dimensionality or the volume of the parameter space is larger than that which is necessary to describe the physics in ... (mathematics) Vector-valued function; Retrieved from "http://en.wikipedia.org/w/index.php?title=Parametrization&oldid ...
http://en.wikipedia.org/wiki/Parametrization
Introduction to how one can parametrize a line. Interactive graphics illustrate basic concepts.
http://mathinsight.org/line_parametrization
Question from stephanie, a student: Give parameterizations r(t)=x(t)i + y(t)j for the part of the parabola y=2x-x^2, from (2,0) to (0,0). Sketch the curve using arrows to show direction for increasing t.
http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/stephanie3.html
In mathematics, a variable for which the range of possible values identifies a collection of distinct cases in a problem. Any equation expressed in terms of parameters is a parametric equation. The general...
http://www.britannica.com/EBchecked/topic/442983/parameter
Surface Plot of . This is the Surface Plot of . However, this is not a parametrization. Instead, this is the explicit representation of the surface, that is expressing one space variable in terms of two other variables.
http://mathforum.org/mathimages/index.php/Parameterization_of_lines%2C_surfaces_and_solids
pa·ram·e·ter (p-r m-t r) n. 1. Mathematics. a. A constant in an equation that varies in other equations of the same general form, especially such a constant in the equation of a curve or surface that can be varied to represent a family of curves or surfaces.
http://www.thefreedictionary.com/parameter
Paul's Online Math Notes Online Notes / Calculus III (Notes) / Line ... The parameterization , will then determine an orientation for the curve where the positive direction is the direction that is traced out as t increases.
http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx
Examples demonstrating how to calculate parametrizations of a line. ... Example 1. Find a parametrization of the line through the points \$(3,1,2)\$ and \$(1,0,5)\$.
http://mathinsight.org/line_parametrization_examples
noun 1. Mathematics . a. a constant or variable term in a function that determines the specific form of the function but not its general nature , as a in f ( x ) = ax, where a ...
http://dictionary.reference.com/browse/parameter
Q: What is a parametrization? A: This is a way to write a function so that all the coordinates (or variables) depend on the same variable.
http://socrates.math.osu.edu/students/help/param.php
The term parameter is used in a number of ways in mathematics. In general, a parameter is a variable that can be varied or changed. In the theory of elliptic integrals, "the" parameter is denoted m and is defined to be m=k^2, (1) where k is the elliptic modulus. An elliptic integral is written I ...
http://mathworld.wolfram.com/Parameter.html
A parameterization of a surface x(u,v) in u and v is regular if the tangent vectors (partialx)/(partialu) and (partialx)/(partialv) are always linearly independent.
http://mathworld.wolfram.com/RegularParameterization.html
Its 1- x^3.I want an explanation.-He explains it on the first page of that section.Then all you have to to obtain the parametrization is to let x = t.So in that example, we let x = t.....
http://www.science-mathematics.com/Mathematics/201106/8053.htm
Math. a quantity or constant whose value varies with the circumstances of its application, as the radius line of a group of concentric circles, which varies with the circle ...
http://www.yourdictionary.com/parameter
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.
http://math.stackexchange.com/questions/22116/parametrization-of-a-line
what is parameterization e.g., (x(u,v),y(u,v),z(u,v)), of the Trefoil knot surface in R³ whose cross section of the surface can be circular, or in general elliptic?
http://mathoverflow.net/questions/91444/what-is-parameterization-of-the-trefoil-knot-surface-in-r
We eliminated the parameter but not in a direct way by solving one of the equations. This technique is useful in many parametric equations involving sine and cosine. That is, solve the equations for sin(t) and cos(t) then square and add the equations.
http://colalg.math.csusb.edu/~devel/precalcdemo/param/src/param.html
Parameter can also mean a distinguishing feature or a characteristic. Blurtit. Ask; Topics; Discover; Sign in; All Topics; ... The world of mathematics defines a parameter as a constant in the equation of a curve that can be varied to give a field of similar curves.
http://www.blurtit.com/q912015.html
Date: 7/7/96 at 23:25:30 From: Doctor Pete Subject: Re: Parametric Sphere Formula As you may already know, the parameterization of a surface in 3-space requires two parameters.
http://mathforum.org/library/drmath/view/51726.html
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.
http://math.stackexchange.com/questions/375118/what-will-be-the-parameterization-of-cone
Topic: Math. Question: What is difference between parameters and variables?this question is realated... - Question #92867
http://www.enotes.com/homework-help/what-difference-betwen-parameters-variables-92867
Parameter \Pa*ram"e*ter\, n. [Pref. para- + -meter: cf. F. param[`e]tre.] 1. ... (Math.) A term applied to some characteristic magnitude whose value, invariable as long as one and the same function, curve, surface, etc., is considered, serves to distinguish that function ...
http://definitions.dictionary.net/parameter
Paul's Online Math Notes Online Notes / Calculus III (Notes) / Line Integrals / Line Integrals of Vector Fields. Internet ... We saw how to get the parameterization of line segments in the first section on line integrals.
http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsVectorFields.aspx
noun 1. Mathematics . a. a constant or variable term in a function that determines the specific form of the function but not its general nature , as a in f ( x ) = ax, where a ...
http://dictionary.reference.com/browse/parameters
pa·ram·e·ter (p-r m-t r) n. 1. Mathematics. a. A constant in an equation that varies in other equations of the same general form, especially such a constant in the equation of a curve or surface that can be varied to represent a family of curves or surfaces.
http://www.thefreedictionary.com/Parameters
Question from Shawna, a student: I am having problems finding the parameterization of a parabola. The question I was given is: Find the work done if a particle moves from the points (-2,4) to (1,1) along the parabola y=x^2, while subject to the vector force of F=(x^3y,x-y).
http://mathcentral.uregina.ca/QQ/database/QQ.09.11/h/shawna1.html
Understand what a parameter is (as opposed to an input and output) in a functional form and its role in determining a specific function and also as the result of attempting to fit a functional form to data.
http://mathvids.com/lesson/mathhelp/1317-the-role-of-parameters
Summary Returns the angle whose sine is the specified Double. Parameters d A Double representing a sine, where -1 <= d <= 1. Return Value A Double containing the value of an angle, , measured in radians, for which d is the sine, such that -/2 <= <= /2.
http://www.gnu.org/software/dotgnu/pnetlib-doc/System/Math.html
Free homework help in math and other subjects. Different types of parameters are used in mathematics. Variables and coefficients as well as constants are found in algebra and other math courses.
http://algebra.freehomeworkmathhelp.com/Parameters/parameters.html
Mathematics > General Math ... Can anyone recommend an online reference or book on line integrals and ... I don't know of an online reference, but the Schaum's outline ...
We’re all familiar with the usual trigonometric parameterization of the unit circle: Each point on is given by for some real . Less well-known is the parameterization of the unit circle by rational functions. The line through the point with slope is given by . This line intersects ...
http://mathnow.wordpress.com/2009/11/06/a-rational-parameterization-of-the-unit-circle/
... and the math is simple enough either way. S-parameter magnitudes are presented in one of two ways, linear magnitude or decibels (dB). Because S-parameters are a voltage ratio, the formula ...
http://www.microwaves101.com/encyclopedia/sparameters.cfm
If a subroutine is a black box, then a parameter is something that provides a mechanism for passing information from the outside world into the box.
http://math.hws.edu/javanotes/c4/s3.html
Determining a Position Vector-Valued Function for a Parametrization of Two Parameters Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
Mathematics > General Math ... could someone explain to me what exactly parametrization of a function in more than ... Quote by soandos could someone explain to me what ...
In information technology a parameter pronounced puhRAAmehtuhr from Greek for roughly through measure is an item of information such as a name a numb...
http://whatis.techtarget.com/definition/parameter
Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.
http://www.mathsisfun.com/definitions/perimeter.html
This page describes the term parameter and lists other pages on the Web where you can find additional information.
http://www.webopedia.com/TERM/P/parameter.html
Math Wiki Navigation. On the Wiki. Wiki Activity; Random page; Videos; Photos; Chat; Browse content. Categories; Mathematics; Project pages; most_popular; most_visited. Multiplication table (natural numbers up to 20) ... (This parameterization is used in the infobox and the plots.)
http://math.wikia.com/wiki/Gamma_distribution
parameter. 1. in mathematics and statistics, an arbitrary constant, such as a population mean or standard deviation. It wholly or partly determines a probability distribution. 2. a property of a system that can be measured numerically. parameter.
http://medical-dictionary.thefreedictionary.com/parameter
Video explanation on solving for a parameter in a linear equation. Time-saving video explanation and example problems on how to solve for a parameter in a simple linear equation.
http://www.brightstorm.com/math/algebra-2/linear-equations/solving-for-a-parameter-in-a-linear-equation/
Definition of PARAMETER. 1. a: an arbitrary constant whose value characterizes a member of a system ... Other Mathematics and Statistics Terms. abscissa, denominator, divisor, equilateral, exponent, hypotenuse, logarithm, oblique, radii, rhomb.
http://www.merriam-webster.com/dictionary/parameter
Note that the value of Math.ceil(x) is exactly the value of -Math.floor(-x). Parameters: a - a value. Returns: the smallest (closest to negative infinity) floating-point value that is greater than or equal to the argument and is equal to a mathematical integer. floor public ...
A little math… Parameters along the leading diagonal, S11 & S22, of the S-matrix are referred to as reflection coefficients because they refer to the reflection occurring at one port only. A little math…
http://www.polarinstruments.com/support/cits/s_parameters.ppt
We will look at the Math class, and how to write methods that return values. The Math Class. The Math class defines the constants Math.E (2.7182818 ... Math.methodName(parameters) Activity: Evaluate the following expressions: Math.abs(-1.23) Math.pow(3, 2) Math.pow(10, -2)
http://cs.utsa.edu/~cs1063/lectures/ch03.html
Objectives: In this tutorial, we define a function with parameter c and a family of functions with parameter c. We illustrate two ways to graph a family of functions with parameter c.
http://archives.math.utk.edu/visual.calculus/0/parameters.6/index.html
Open problems have always driven mathematics. Due to the risk of producing frustration, they need to be introduced with care. They are the salt in the dish. ... Parametrization might be a harder concept to master, but it is worth the effort.
http://www.math.harvard.edu/~knill/pedagogy/harvardcalculus/
on a rectifiable curve. A parameter for a curve with parametric representation such that the arc length on the curve between two points and is equal to .
http://www.encyclopediaofmath.org/index.php/Natural_parameter

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