Support function

Support function

In mathematics, for an oriented regular surface, "M", with a unit normal vector, "N", defined everywhere on its surface, the support function h:M o mathbb{R} is defined by: h(mathbf{x})=mathbf{x}cdot N(mathbf{x})quadforall mathbf{x} on the perimeter of "M".

In other words, the support function of a set is an alternate representation of the set in terms of the position of all tangent planes that enclose the set. That is, mathbf{x}cdot N(mathbf{x}) defines a plane that intersects x with a normal "N".

External links

* [http://mathworld.wolfram.com/SupportFunction.html MathWorld on Support Function]


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Function pointer — A function pointer is a type of pointer in C, C++, D, and other C like programming languages, and Fortran 2003.[1] When dereferenced, a function pointer can be used to invoke a function and pass it arguments just like a normal function. In… …   Wikipedia

  • Support vector machine — Support vector machines (SVMs) are a set of related supervised learning methods used for classification and regression. Viewing input data as two sets of vectors in an n dimensional space, an SVM will construct a separating hyperplane in that… …   Wikipedia

  • Support — may refer to the following:* Sympathy, emotional support; * Technical support (a.k.a tech support) in computer hardware, software or electronic goods; * Support (mathematics), a kind of subset of the domain of a function; * Support (measure… …   Wikipedia

  • Support Lesbiens — is a Czech musical group. It was founded in 1992 by Brittany Nobles. Their single CLICHÉ was the first single of a Czech English singing group that reached first position in an official radio chart IFPI.The band is considered to be a part of the… …   Wikipedia

  • support — late 14c., from O.Fr. supporter, from L. supportare convey, carry, bring up, from sub up from under + portare to carry (see PORT (Cf. port) (1)). Related: Supported; supporting. The noun meaning act of assistance, backing is recorded from late… …   Etymology dictionary

  • support — ► VERB 1) bear all or part of the weight of. 2) give assistance, encouragement, or approval to. 3) be actively interested in (a sports team). 4) provide with a home and the necessities of life. 5) be capable of sustaining (life). 6) confirm or… …   English terms dictionary

  • Support (mathematics) — In mathematics, the support of a function is the set of points where the function is not zero, or the closure of that set [1]:678. This concept is used very widely in mathematical analysis. In the form of functions with support that is bounded,… …   Wikipedia

  • Function space — In mathematics, a function space is a set of functions of a given kind from a set X to a set Y . It is called a space because in many applications, it is a topological space or a vector space or both. ExamplesFunction spaces appear in various… …   Wikipedia

  • Function object — A function object, also called a functor or functional, is a computer programming construct allowing an object to be invoked or called as if it were an ordinary function, usually with the same syntax.Function objects are unrelated to functors in… …   Wikipedia

  • Support (measure theory) — In mathematics, the support (sometimes topological support or spectrum) of a measure μ on a measurable topological space ( X , Borel( X )) is a precise notion of where in the space X the measure lives . It is defined to be the largest (closed)… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”