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- ...ame is associated with a [[List of topics named after Leonhard Euler|large number of topics]]. ...e'' for the base of the [[natural logarithm]] (now also known as [[Euler's number]]), the Greek letter [[Sigma|Σ]] for summations and the letter <math>i</mat ...47 KB (6,597 words) - 20:37, 30 July 2009
- .... While these are familiar from many [[mathematical structure]]s, such as number systems—for example, the [[integer]]s endowed with the [[addition]] operati ...]]s and [[simple group]]s. In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely ...88 KB (12,980 words) - 01:52, 12 August 2009
- ...he Laplacian nebular model dominated in the 19th century, it encountered a number of difficulties. The main problem was [[angular momentum]] distribution bet ...ied only to our own [[Solar System]], the SNDM was subsequently thought by theorists to be at work throughout the [[universe]]; over 340 [[extrasolar planet]]s ...50 KB (7,534 words) - 17:00, 23 June 2009
- [[Image:PascalTriangleAnimated2.gif|thumb|[[Pascal's triangle]]. Each number is the sum of the two directly above it. The triangle demonstrates many mat |}He defines the numbers in the triangle by [[recursion]]: Call the number in the (m+1)st row and (n+1)st column t<sub>mn</sub>. Then t<sub>mn</sub> ...44 KB (6,555 words) - 07:01, 18 August 2009
- ...of infinities". He defined the [[cardinal number|cardinal]] and [[ordinal number|ordinal]] numbers and their arithmetic. Cantor's work is of great philosoph Cantor's theory of [[transfinite number]]s was originally regarded as so counter-intuitive—even shocking—that it en ...51 KB (7,413 words) - 20:20, 19 August 2009
- ...the same [[neurochemistry]] as humans. Putnam concluded that type-identity theorists had been making an "ambitious" and "highly implausible" conjecture which co ...ressions of the language.<ref name="MLR" /> Since there is no limit to the number of such expressions which must be considered, Putnam embraced a form of [[s ...57 KB (8,511 words) - 23:53, 31 July 2009
- ...between the increasing redshifts and the increasing distance of galaxies. Theorists almost immediately realized that these observations could be explained by a ...cope]]s and improvements in [[astronomical spectroscopy|spectroscopes]], a number of collaborations have been made to map the universe in redshift space. By ...66 KB (9,812 words) - 01:07, 12 August 2009
- ...of the [[Solar System]] is estimated to have begun 4.6 [[1000000000 (number)|billion]] years ago with the [[gravitation]]al collapse of a small part of ...0]] which only form in exploding, short-lived stars. This indicates that a number of [[supernova]]e occurred near the Sun while it was forming. A [[shock wav ...85 KB (12,829 words) - 17:09, 18 August 2009
- ...solar day]]s.<ref group=note>The number of solar days is one less than the number of [[sidereal day]]s because the orbital motion of the Earth about the Sun }}</ref> Some theorists believe that without this stabilization against the [[torque]]s applied by ...115 KB (16,384 words) - 01:33, 18 August 2009