One can see further that the space of homogeneous polynomials of degree " k " can be identified with the symmetric tensor power S ^ k \ mathbb { C } ^ n of the standard representation \ mathbb C ^ n.
32.
Constructed the automorphic L-functions for general linear groups with " r " the standard representation ( so-called standard L-functions ) and verified analytic continuation and the functional equation, by using a generalization of the method in Tate's thesis.
33.
See CIE for the standard representation of color space, where the border is composed of a horseshoe curve representing the pure spectral colors, with a straight line completing the perimeter along the bottom and representing the mixtures of extreme red and blue / violet that give the pure purples.
34.
:: : To make a long story short, there is a non-standard representation for every terminating decimal number wherein the final digit is reduced by one and then an infinite string of 9s is appended ( after a decimal point if initially dealing with an integer ).
35.
The 4 dimensional representation decomposes into the sum of a one-dimensional trivial representation ( singlet, a scalar, spin zero ) and a three-dimensional representation ( triplet, spin 1 ) that is nothing more than the standard representation of SO ( 3 ) on R ^ 3.
36.
Carey retired from business in 1838 while publishing his 4-volume treatise ( 1837 1840 ) " Principles of Political Economy ", which soon became the standard representation of the American school of economic thought, and was translated into Swedish, with some variance, dominating the U . S . economic system until 1973.
37.
However, it is the two large statues of simian figures shaking rattles ( see fig . ), found on both sides of the'Reviewing Stand'of Copan's temple 11, that approach much more closely the standard representation of this animal in Maya art and in Long Count inscriptions ( including the snakes in the corners of the mouth ).
38.
:Wouldn't it make more sense to use http : / / www . wikicities . com / skins / common / images / gnu-fdl . png this image since it's more of a standard representation of the GFDL, and one which is included by default in MediaWiki installations ? . 02 : 17, Jun 20, 2005 ( UTC)
39.
:There are a couple of sounds it mentions as not having a standard representation, such as a glottal stop, plus there are a few older ( now otherwise disused ) hiragana that represent some of the other syllables, such as we, wi, ye, etc . Some modern sounds are written with standard hiragana / katakana but are read with non-standard pronunciation . talk ) 05 : 54, 31 January 2008 ( UTC)
40.
While the above algorithm is correct, it is slower than multiplication in the standard representation because of the need to multiply by " R " & prime; and divide by " N " . "'Montgomery reduction "', also known as REDC, is an algorithm that simultaneously computes the product by " R " & prime; and reduces modulo " N " more quickly than the naive method.
