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Topic: Exponential (category theory)


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  Algorithm - Wikipedia, the free encyclopedia
A divide and conquer algorithm repeatedly reduces an instance of a problem to one or more smaller instances of the same problem (usually recursively), until the instances are small enough to solve easily.
A greedy algorithm is similar to a dynamic programming algorithm, but the difference is that solutions to the subproblems do not have to be known at each stage; instead a "greedy" choice can be made of what looks best for the moment.
This category also includes the search algorithms and backtracking.
en.wikipedia.org /wiki/Algorithm   (5894 words)

  
 Encyclopedia :: encyclopedia : Exponential object   (Site not responding. Last check: 2007-10-22)
In mathematics, specifically in category theory, an exponential object the categorical equivalent of a function space in set theory.
Categories with all finite products and exponential objects are called cartesian closed categories
For this reason the category of topological spaces fails to be cartesian closed.
www.hallencyclopedia.com /Exponential_object   (265 words)

  
 The Philosopher's Stone
Exponentials (also known as yeast growth laws, or compound interest laws, or geometric progressions) are among the most dramatic growth laws known to mathematics.
Exponential growth at differing rates would easily reconcile the testimony of geniuses with the gulf between them and the rest of mankind.
The labor theory partisans and their dupes commit the most complete of all logical sins; they mistake "anything" for "nothing." Leisure which you have won free from drudgery is not a means to nothing; it is a means to anything.
www.quackgrass.com /stone.html   (4829 words)

  
 Concurrency Abstracts   (Site not responding. Last check: 2007-10-22)
The category Chu is concretely universal for much of concrete mathematics; in particular it concretely represents or realizes all categories of relational structures and their homomorphisms, as well as all topological such.
The category C is realized in Chu(Set,K) where K is the disjoint union of the underlying sets of objects of C. Each object is realized as the normal Chu space (A,X) where X consists of all functions from A in C astricted to K. Chu Spaces and their Interpretation as Concurrent Objects
The motivating application is a uniform theory of abstract or parametrized time in which to any given notion of time there corresponds an algebra of concurrent behaviors and their operations, always the same operations but interpreted automatically and appropriately for that notion of time.
boole.stanford.edu /abstracts.html   (9716 words)

  
 Major Religions Ranked by Size
Many Far Eastern ways of thought, in fact, were given the status of "world religion" while equally advanced religious cultures in technologically less developed or pre-literate societies (such as in Australia, Africa, South America, and Polynesia) were grouped together as pagans or "animists," regardless of their actual theology.
While there is certainly overlap between this category and non-African primal-indigenous religious adherents, there are reasons for separating the two, best illustrated by focusing specifically on Yoruba, which is probably the largest African traditional religious/tribal complex.
The number does not represent an exponential explosion the number of actual Zoroastrians (although there has been some growth in numbers), but is a result of re-evaluation of the existing population.
www.adherents.com /Religions_By_Adherents.html   (11821 words)

  
 CERT® Coordination Center Reports
Vulnerabilities in the category of system and network configurations are not caused by problems inherent in protocols or software programs.
A person who places their cryptographic digital signature on an electronic document cannot later claim that they did not sign it, since in theory they are the only one who could have created the correct signature.
New internetworking protocols are under development which use cryptography to authenticate the originator of a packet and to protect the integrity and confidentiality of data.
www.cert.org /encyc_article/tocencyc.html   (9542 words)

  
 The Math Forum - Math Library - Calculus (MV)   (Site not responding. Last check: 2007-10-22)
Bright Ideas Software was formed in 2001 with the goal of producing high quality educational software for the college and university market, with particular focus on graphical visualization tools for the physical sciences.
A computer-based course about calculus, differential equations, and matrix theory, which the instructor can use as soon as the computers are unloaded at the classroom door.
Maple worksheets for courses in single- and multi-variable calculus, linear algebra, abstract algebra, and cryptography and coding theory may be downloaded here.
www.mathforum.org /library/topics/mvcalc   (2219 words)

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