http://netvouz.com/narky/tag/maths?feed=rss&pg=1 narky's bookmarks tagged "maths" on Netvouz http://at.yorku.ca/cgi-bin/bbqa?forum=ask_a_topologist_2001;task=show_msg;msg=0302 Does a space which has the finite closed topology have the fixed-point property? I really don't know how to go about this, but my initial thoughts are: - This should be related to continuous functions and connectedness. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Tue, 01 May 2007 02:24:24 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://graph.seriesmathstudy.com/ A handy online java tool for drawing single variable graphs, you can chuck 'em on top of each other too! Educational > Mathematics > Software narky Thu, 06 Sep 2007 04:46:34 GMT http://en.wikipedia.org/wiki/Implicit_function_theorem In multivariable calculus of mathematics the implicit function theorem says that for a suitable set of equations, some of the variables are defined as functions of the others. Educational > Mathematics > Ideas/Explanations/Wiki or Mathworld lookups narky Wed, 24 May 2006 23:40:28 GMT http://www.amazon.com/Littlewoods-Miscellany-B%C3%A9la-Bollob%C3%A1s/dp/052133702X/ref=cm_sylt_fullview_prod_pl_1/104-3434805-1037567/104-3434805-1037567 Academic life in Cambridge especially in Trinity College is viewed through the eyes of one of its greatest figures. Most of Professor Littlewood's earlier work is presented along with a wealth of new material. Educational > Mathematics > Textbooks/Books narky Wed, 27 Dec 2006 23:15:50 GMT http://www.livingreviews.org/ 'Living Reviews' is a unique editorial concept for the publication of high-quality scientific content. 'Living' review articles are 1. as the name suggests, review articles, providing insightful surveys on research progress in the fields they cover and guiding readers to the most important literature in the field, 2. solicited from experts in the field by an international Editorial Board, 3. subject to peer-review, 4. open access publications 5. and, most important, 'living' which means that the articles are regularly being updated by their authors to incorporate the latest developments in the field. Educational > Cosmology narky Wed, 24 May 2006 09:19:04 GMT http://www.latrobe.edu.au/mathstats/maths/ Educational > University > LaTrobe > Departments narky Sun, 16 Jan 2005 04:57:25 GMT http://www.astro.ucla.edu/%7Ewright/cosmolog.htm Cosmology is the study of the origin, current state, and future of our Universe. This field has been revolutionized by many discoveries made during the past century. My cosmology tutorial is an attempt to summarize these discoveries. Educational > Cosmology narky Wed, 24 May 2006 09:17:31 GMT http://www.optimnem.co.uk/blog/index.php The Blog of Daniel Tammet. (wiki) Daniel Paul Tammet (born January 31, 1979) is a British autistic savant (though he has learnt how to manage social interaction) gifted with a facility for mathematics problems, sequence memory, and natural language learning. He was born with congenital childhood epilepsy. Experiencing numbers as colors or sensations is a well-documented form of synesthesia, but Tammet is unique in how specific and detailed his mental imagery of numbers is. He claims that in his mind each number, up to 10,000, has its own unique shape and feel, and he can "sense" whether a number is prime or composite and "see" results of calculations as landscapes in his mind. Computing > Blogs narky Wed, 13 Sep 2006 11:39:00 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