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Discontinuity (mathematics) Continuous functions are of utmost importance in mathematics, functions and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. The set of all points of discontinuity of a function may be a discrete set, a dense set, or even the entire domain of the function [...More...]  "Discontinuity (mathematics)" on: Wikipedia Yahoo Parouse 

Jump Drive A jump drive is a speculative method of traveling faster than light (FTL) in science fiction. Related concepts are hyperdrive, warp drive and interstellar teleporter. The key characteristic of a jump drive (as the term is usually used) is that it allows a starship to be instantaneously teleported between two points. A jump drive is supposed to make a spaceship (or any matter) go from one point in space to another point, which may be several light years away, in a single instant. Like time travel, a jump drive is often taken for granted in science fiction, but very few science fiction works talk about the mechanics behind a jump drive [...More...]  "Jump Drive" on: Wikipedia Yahoo Parouse 

Special Special Special or specials may refer to:Contents1 Music 2 Film and television 3 Other uses 4 See alsoMusic[edit] Special Special (album), a 1992 [...More...]  "Special" on: Wikipedia Yahoo Parouse 

Rational Point In number theory and algebraic geometry, a rational point of an algebraic variety is a solution of a set of polynomial equations in a given field. If the field is not mentioned, the field of rational numbers may be understood. For example, (3/5, 4/5) is a rational point on the circle x2 + y2 = 1 [...More...]  "Rational Point" on: Wikipedia Yahoo Parouse 

Indicator Function In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A [...More...]  "Indicator Function" on: Wikipedia Yahoo Parouse 

Dirichlet Function In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f is nowhere continuous if for each point x there is an ε > 0 such that for each δ > 0 we can find a point y such that 0 < x − y < δ and f(x) − f(y) ≥ ε [...More...]  "Dirichlet Function" on: Wikipedia Yahoo Parouse 

Nowhere Continuous In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f is nowhere continuous if for each point x there is an ε > 0 such that for each δ > 0 we can find a point y such that 0 < x − y < δ and f(x) − f(y) ≥ ε [...More...]  "Nowhere Continuous" on: Wikipedia Yahoo Parouse 

Mathematical Singularity In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be wellbehaved in some particular way, such as differentiability. For example, the real function f ( x ) = 1 x displaystyle f(x)= frac 1 x has a singularity at x = 0, where it seems to "explode" to ±∞ and is not defined. The function g(x) = x (see absolute value) also has a singularity at x = 0, since it is not differentiable there. The algebraic curve defined by ( x , y ) : y 3 − x 2 = 0 displaystyle (x,y):y^ 3 x^ 2 =0 in the (x, y) coordinate system has a singularity (called a cusp) at (0, 0). See Singular point of an algebraic variety for details on singularities in algebraic geometry [...More...]  "Mathematical Singularity" on: Wikipedia Yahoo Parouse 

International Standard Book Number "ISBN" redirects here. For other uses, see ISBN (other).International Standard Book Book NumberA 13digit ISBN, 9783161484100, as represented by an EAN13 bar codeAcronym ISBNIntroduced 1970; 48 years ago (1970)Managing organisation International ISBN AgencyNo. of digits 13 (formerly 10)Check digit Weighted sumExample 9783161484100Website www.isbninternational.orgThe International Standard Book Book Number (ISBN) is a unique[a][b] numeric commercial book identifier. Publishers purchase ISBNs from an affiliate of the International ISBN Agency.[1] An ISBN is assigned to each edition and variation (except reprintings) of a book. For example, an ebook, a paperback and a hardcover edition of the same book would each have a different ISBN. The ISBN is 13 digits long if assigned on or after 1 January 2007, and 10 digits long if assigned before 2007 [...More...]  "International Standard Book Number" on: Wikipedia Yahoo Parouse 

PlanetMath PlanetMath PlanetMath is a free, collaborative, online mathematics encyclopedia. The emphasis is on rigour, openness, pedagogy, realtime content, interlinked content, and also community of about 24,000 people with various maths interests. Intended to be comprehensive, the project is currently hosted by the University of Waterloo [...More...]  "PlanetMath" on: Wikipedia Yahoo Parouse 

Continuous Function In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Otherwise, a function is said to be a discontinuous function. A continuous function with a continuous inverse function is called a homeomorphism. Continuity of functions is one of the core concepts of topology, which is treated in full generality below. The introductory portion of this article focuses on the special case where the inputs and outputs of functions are real numbers. A stronger form of continuity is uniform continuity. In addition, this article discusses the definition for the more general case of functions between two metric spaces. In order theory, especially in domain theory, one considers a notion of continuity known as Scott continuity. Other forms of continuity do exist but they are not discussed in this article. As an example, consider the function h(t), which describes the height of a growing flower at time t [...More...]  "Continuous Function" on: Wikipedia Yahoo Parouse 

Ed Pegg, Jr. Ed Pegg Jr. Ed Pegg Jr. (born December 7, 1963) is an expert on mathematical puzzles and is a selfdescribed recreational mathematician. He wrote an online puzzle column called Ed Pegg Jr.'s Math Games for the Mathematical Association of America Mathematical Association of America during the years 2003–2007. His puzzles have also been used by Will Shortz Will Shortz on the puzzle segment of NPR's Weekend Edition Weekend Edition Sunday. In 2000, he left NORAD NORAD to join Wolfram Research, where he collaborated on A New Kind of Science A New Kind of Science (NKS). In 2004 he started assisting Eric W. Weisstein at Wolfram MathWorld.[1] He has made contributions to several hundred MathWorld articles.[2] He was one of the chief consultants for Numb3rs. References[edit]^ MathWorld Headline News and About MathWorld [...More...]  "Ed Pegg, Jr." on: Wikipedia Yahoo Parouse 

The Wolfram Demonstrations Project The Wolfram Demonstrations Project Wolfram Demonstrations Project is an organized, opensource[1] collection of small (or mediumsize) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields. It is hosted by Wolfram Research, whose stated goal is to bring computational exploration to the widest possible audience. At its launch, it contained 1300 demonstrations[2] but has grown to over 10,000 [...More...]  "The Wolfram Demonstrations Project" on: Wikipedia Yahoo Parouse 

Eric W. Weisstein Eric Wolfgang Weisstein (born March 18, 1969) is an encyclopedist who created and maintains MathWorld and Eric Weisstein's World of Science (ScienceWorld). He is the author of the CRC Concise Encyclopedia of Mathematics. He currently works for Wolfram Research, Inc.Contents1 Education 2 Career2.1 Academic research 2.2 MathWorld, ScienceWorld ScienceWorld and Wolfram Research 2.3 Further scientific activities3 Footnotes 4 References 5 External linksEducation[edit] Weisstein holds a Ph.D. in planetary astronomy which he obtained from the California Institute of Technology's (Caltech) Division of Geological and Planetary Sciences in 1996 as well as an M.S. in planetary astronomy in 1993 also from Caltech. Weisstein graduated Cum Laude from Cornell University Cornell University with a B.A. in physics and a minor in astronomy in 1990 [...More...]  "Eric W. Weisstein" on: Wikipedia Yahoo Parouse 

MathWorld MathWorld is an online mathematics reference work, created and largely written by Eric W. Weisstein. It is sponsored by and licensed to Wolfram Research, Inc. Wolfram Research, Inc. and was partially funded by the National Science Foundation's National Science Digital Library grant to the University of Illinois at Urbana–Champaign.Contents1 History 2 CRC lawsuit 3 See also 4 References 5 External linksHistory[edit] Eric W. Weisstein, the creator of the site, was a physics and astronomy student who got into the habit of writing notes on his mathematical readings. In 1995 he put his notes online and called it "Eric's Treasure Trove of Mathematics." It contained hundreds of pages/articles, covering a wide range of mathematical topics. The site became popular as an extensive single resource on mathematics on the web. Weisstein continuously improved the notes and accepted corrections and comments from online readers [...More...]  "MathWorld" on: Wikipedia Yahoo Parouse 

Michiel Hazewinkel Michiel Hazewinkel Michiel Hazewinkel (born June 22, 1943) is a Dutch mathematician, and Emeritus Professor of Mathematics Mathematics at the Centre for Mathematics Mathematics and Computer and the University of Amsterdam, particularly known for his 1978 book Formal groups and applications and as editor of the Encyclopedia of Mathematics.Contents1 Biography 2 Publications 3 References 4 External linksBiography[edit] Born in Amsterdam Amsterdam to Jan Hazewinkel and Geertrude Hendrika Werner, Hazewinkel studied at the University of Amsterdam [...More...]  "Michiel Hazewinkel" on: Wikipedia Yahoo Parouse 