http://www.netvouz.com/narky/tag/uni?feed=rss narky's bookmarks tagged "uni" on Netvouz http://en.wikipedia.org/w/index.php?title=Vector_calculus&oldid=81357662 Vector calculus (also called vector analysis) is a field of mathematics concerned with multivariate real analysis of vectors in two or more dimensions. It consists of a suite of formulas and problem solving techniques very useful for engineering and physics. Vector analysis has its origin in quaternion analysis, and was formulated by the American scientist, J. Willard Gibbs [1]. It concerns vector fields, which associate a vector to every point in space, and scalar fields, which associate a scalar to every point in space. For example, the temperature of a swimming pool is a scalar field: to each point we associate a scalar value of temperature. The water flow in the same pool is a vector field: to each point we associate a velocity vector. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 24 Oct 2006 08:44:56 GMT http://en.wikipedia.org/wiki/Bijection In mathematics, a bijection, or a bijective function is a function f from a set X to a set Y with the property that, for every y in Y, there is exactly one x in X such that f(x) = y. Alternatively, f is bijective if it is a one-to-one correspondence between those sets; i.e., both one-to-one (injective) and onto (surjective).[1] (See also Bijection, injection and surjection.) Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Mon, 30 Apr 2007 02:38:51 GMT http://en.wikipedia.org/wiki/Bijection%2C_injection_and_surjection In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:47:52 GMT http://www.endnote.com/ Software tool for publishing and managing bibliographies. EndNote will search online bibliographic databases, organize references, images and PDFs in any language, and create bibliographies and figure lists instantly. Integrates the following tasks into one program: * Search bibliographic databases on the Internet * Organize references, images and PDFs * Construct your paper with built-in manuscript templates * Watch the bibliography and figure list appear as you write! Computing > Software narky Tue, 01 May 2007 08:47:13 GMT http://en.wikipedia.org/wiki/Fixed_point_property In mathematics, a topological space X has the fixed point property if all continuous mappings from X to X have a fixed point. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:50:22 GMT http://en.wikipedia.org/wiki/Fixed-point_theorem In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some conditions on F that can be stated in general terms. Results of this kind are amongst the most generally useful in mathematics. The Banach fixed point theorem gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed point theorem is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (See also Sperner's lemma). Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:51:32 GMT http://www.law.unimelb.edu.au/lawlib/ Educational > Libraries narky Fri, 11 Nov 2005 22:28:29 GMT http://en.wikipedia.org/wiki/Range_%28mathematics%29 In mathematics, the range of a function is the set of all "output" values produced by that function. Sometimes it is called the image, or more precisely, the image of the domain of the function....The range should not be confused with the codomain B. The range is a subset of the codomain, but is not necessarily equal to the codomain, since there may be elements of the codomain which are not elements of the range. The codomain is sometimes taken to be the range, but more often is some standard set, such as the real numbers or the complex numbers, which contains the range. A function whose range equals its codomain is called onto or surjective. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:49:09 GMT