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Topic: Combinatorial principle


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  Appetizers and Lessons for Mathematics and Reason
Inductive principles for the communication of ideas and skills require effective methods for directly and clearly developing skills and concepts.
Fairness principles for instruction (met in a recent course on educational measurement) also demand that skills be developed directly and clearly before being required and tested.
The development employs the counting principle principle that two different ways to number or count the of elements of a set must lead to the same total, and on a measurement principle that the choice of units in computing a sum does not affect the result.
whyslopes.com /index.html?PHPSESSID=7cfc073df31f0b5421225757a2f94c0f   (5670 words)

  
 The Church-Turing Thesis
In practice, of course, this test is unworkable for formulae containing a large number of propositional variables, but in principle one could apply it successfully to any formula of the propositional calculus, given sufficient time, tenacity, paper, and pencils.
Statements that there is an effective method for achieving such-and-such a result are commonly expressed by saying that there is an effective method for obtaining the values of such-and-such a mathematical function.
I can now state the physical version of the Church-Turing principle: "Every finitely realizable physical system can be perfectly simulated by a universal model computing machine operating by finite means." This formulation is both better defined and more physical than Turing's own way of expressing it.
plato.stanford.edu /entries/church-turing   (4930 words)

  
 CSC - Intelligent Design: The Origin of Biological Information and the Higher Taxonomic Categories
Their notion of information associated both biochemical contingency and combinatorial complexity with DNA sequences (allowing DNA's carrying capacity to be calculated), but it also affirmed that sequences of nucleotides and amino acids in functioning macromolecules possessed a high degree of specificity relative to the maintenance of cellular function.
Transitions from a single cell to colonies of cells to complex animals represent significant (and, in principle, measurable) increases in CSI.
The scenario has an overriding problem, however: the size of the combinatorial space (i.e., the number of possible amino acid sequences) and the extreme rarity and isolation of the functional sequences within that space of possibilities.
www.discovery.org /scripts/viewDB/index.php?command=view&id=2177&progr...   (14205 words)

  
 Diamond Theory: Symmetry in Binary Spaces   (Site not responding. Last check: 2007-10-13)
Hartshorne's principle: "Whenever one approaches a subject from two different directions, there is bound to be an interesting theorem expressing their relation." - Robin Hartshorne, AMS Notices, April 2000, p.
A new combinatorial concept that illustrates symplectic polarities in PG(3,2).
Walsh series and transforms Transitive Erweiterungen endlicher Permutationsgruppen Combinatorial theory Permutation groups Permutation groups and combinatorial structures (London Math.
m759.freeservers.com   (1917 words)

  
 Office of Communications   (Site not responding. Last check: 2007-10-13)
July 3, 2005 The Washington Post When The Washington Post invited a litany of people from various backgrounds, professions, ideology and geographical locations to revise or rewrite the Pledge of Allegiance, one of those they turned to was mathematics' John Allen Paulos.
The Philadelphia Inquirer Speaking of Eagles wide-receiver Terrell Owens and his bid to get his contract renegotiated, "he is paid an obscene amount of money," said Michael Leeds, an associate professor of economics at the Fox School of Business at Temple University and a Giants fan.
The Guardian Mathematics' John Allen Paulos analyzes combinatorial literature, both past efforts by Oulipo (a small group of primarily French writers, mathematicians and academics devoted to exploring mathematical and combinatorial techniques in literature) and technologically aided ones using Google, in his recent "Last Word" column in the UK's "The Guardian."
www.temple.edu /news_media/in_news.html   (15825 words)

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