Winston Spree Simon 1930 18 April 1976 was an inventor , Innovator pioneer and musician of the Steel Pan . Life Simon was born in Rosehill, East Dry River, Port of Spain , Trinidad . He is credited with the invention of the Ping Pong Steel Pan instrument. Simon also was part of TASPO Steelband TASPO , the Trinidad All Steel Percussion Orchestra and visited Great Britain in 1951. ref www.tobago.org trinidad pan sr sr00024.htm ref Winston Spree Simon worked closely with Anthony Williams who later on invented the fourth and fifth Soprano Pan. Simon also gave Bertie Marshall significant impulses for his work in developing harmonical tuning. The American musician and composer Van Dyke Parks celebrated the life of Winston Simon in the song Tribute to Spree on his album Clang of the Yankee Reaper written and first recorded by Lord Kitchener calypsonian Lord Kitchener . Further reading Felix I. R. Blake The Trinidad and Tobago Steel Pan. History and Evolution . ISBN 0 952 55280 9 The Steelband Movement The Forging of a National Art in Trinidad and Tobago. By Stephen Stuempfle. Philadelphia University of Pennsylvania Press, 1995 Ring of Steel Pan Sound and Symbol by Cy Grant, MacMillan 1999 Notes reflist See also Steelpan Ellie Mannette External links http www.nalis.gov.tt Biography history PanPioneers WinstonSimonEllieMannette.htm http www.trinisoca.com steelpan spree.html Persondata Metadata see Wikipedia Persondata . NAME Simon, Winston ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1930 PLACE OF BIRTH DATE OF DEATH 18 April 1976 PLACE OF DEATH DEFAULTSORT Simon, Winston Category 1930 births Category 1976 deaths Category Steelpan musicians Category Trinidad and Tobago musicians Category Date of birth missing Category Place of death missing de Winston Simon ... more details
System Analysis OSA Harmonical Two level ARIMAD Multiplicative Additive MAA Objective Computer Clusterization OCC Pointing Finger PF clusterization algorithm Analogues Complexing AC Harmonical Rediscretization ... more details
About the expansion of the determinant of a square matrix as a weighted sum of determinants of sub matrices the expansion of an 1 r potential using spherical harmonical functions Laplace expansion potential In linear algebra , the Laplace expansion , named after Pierre Simon Laplace , also called cofactor expansion , is an expression for the determinant B of an n × n square Matrix mathematics matrix B that is a weighted sum of the determinants of n sub matrices of B , each of size n 1 × n 1 . The Laplace expansion is of theoretical interest as one of several ways to view the determinant, as well as of practical use in determinant computation. The i , j cofactor linear algebra cofactor of B is the scalar C sub ij sub defined by math C ij 1 i j M ij ,, math where M sub ij sub is the i , j minor linear algebra minor matrix of B , that is, the determinant of the n 1 × n 1 matrix that results from deleting the i th row and the j th column of B . Then the Laplace expansion is given by the following Theorem . Suppose B b sub ij sub is an n × n matrix and i , j 1, 2, ..., n . Then its determinant B is given by math begin align B & b i1 C i1 b i2 C i2 cdots b in C in & b 1j C 1j b 2j C 2j cdots b nj C nj . end align math Examples Consider the matrix math B begin bmatrix 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 end bmatrix . math The determinant of this matrix can be computed by using the Laplace expansion along the first row math B 1 cdot begin vmatrix 5 & 6 8 & 9 end vmatrix 2 cdot begin vmatrix 4 & 6 7 & 9 end vmatrix 3 cdot begin vmatrix 4 & 5 7 & 8 end vmatrix math math 1 cdot 3 2 cdot 6 3 cdot 3 0. math Alternatively, Laplace expansion along the second column yields math B 2 cdot begin vmatrix 4 & 6 7 & 9 end vmatrix 5 cdot begin vmatrix 1 & 3 7 & 9 end vmatrix 8 cdot begin vmatrix 1 & 3 4 & 6 end vmatrix math math 2 cdot 6 5 cdot 12 8 cdot 6 0. math It is easy to see that the result is correct the matrix is inver ... more details
Infobox language name Western Yugur nativename yo r lar, yo r oz states China region Gansu speakers 2,600 date 1999 familycolor Altaic fam1 Turkic languages Turkic fam2 Uyghur Turkic iso3 ybe notice IPA Western Yugur and Eastern Yugur language Eastern Yugur are terms coined by Chinese linguists to distinguish between the Turkic languages Turkic and Mongolic languages Mongolic Yugur language, both spoken within the Yugur nationality . The terms may also indicate the speakers of these languages. Traditionally, both languages are indicated by the term Yellow Uygur, from the endonym of the Yugur. The Turkic speaking Yugur number about 4,600 and denote their own language by the terms yo r lar Yugur speech or yo r oz Yugur word . Classification Western Yugur shares a number of features, mainly archaism s, with several of the Siberian Turkic languages Northeastern Turkic languages , but it is not closer to any one of them in particular. Geographic distribution Speakers of Western Yugur reside primarily in the western part of Gansu province s Sunan Yugur Autonomous County . Sounds A special feature in Western Yugur is the occurrence of preaspiration , corresponding to the so called pharyngealisation pharyngealised or low vowel s in Tuvan language Tuva and Tofa, and short vowel s in Yakut language Yakut and Turkmen language Turkmen . Examples of this phenomenon include IPA o t s thirty , IPA ja good , and IPA i t meat . The vowel harmony vowel harmonical system , typical of Turkic languages, has largely collapsed. voice phonetics Voice as a Distinctive feature distinguishing feature in plosive s and affricate s was replaced by Aspiration phonetics aspiration , as in Chinese language Chinese . Consonants West Yugur has 28 native consonants and two more indicated in paretheses found only in loan words. class IPA wikitable style text align center Consonant phonemes colspan 2 Labial consonant Labial colspan 2 Alveolar consonant Alveolar colspan 2 Retroflex consonan ... more details
Marina Karaseva lang ru , born August 8, 1958, Moscow is a Russian musicologist, Honored Master of Art of the Russian Federation , Professor of Moscow Conservatory , Department of Music Theory, Grand Doctor in Art, Ph.D. in Musicology , Member of Union of Soviet Composers Russian Composers Union , Fulbright Program Fulbright Scholar , Advisor to the Rector since 2010 . Pedagogical contribution Karaseva is the author of a new approach to the modern ear training system. In the 1980s she created a complex methodological system of ear training using 20th century music . She has disclosed basic intonational patterns of modern post major minor music its melodics, new modal scales, chord system, rhythm, etc. and has developed systematic ways for their study in ear training courses from music school to conservatory level. Karaseva s course combines the best features of the traditional Russian ear training system with a new investigation into the area of modern harmony particularly, her scientific teacher, Dr. Yuri Kholopov researches as well as with a new psychological approach based on synesthesia synesthetic listening training. This combination makes Karaseva s course an original one, unique in the world of contemporary music education . The ear training system created by Karaseva allows students dealing with intonationally and rhythmically complicated music patterns of contemporary music to able to clearly select by ear not only by theoretical analysis interrelationships between new modes, non third chords, and new functional tonal system. This method improves sight singing and listening of 20th century music . Karaseva s course, Modern solfeggio in 3 Volumes 1st vol music pattern selection and instructive exercises, 2nd 20th century music examples, 3d Harmonical Solfeggio , was published in 1996. It is considered one of the most effective practical courses in ear training, and, worldwide, it is the first of its kind. Modern Solfeggio has been ... more details
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