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The Bernstein – Sato polynomial is the monic polynomial of smallest degree amongst such b ( s ).
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Bernstein and –
* 1962 – Leonard Bernstein causes controversy with his remarks from the podium during a New York Philharmonic concert featuring Glenn Gould performing Brahms ' First Piano Concerto.
* 1970 – Bonnie Bernstein, American sportscaster
* 1918 – Leonard Bernstein, American conductor, pianist, and composer ( d. 1990 )
* Curve25519: A state-of-the-art Diffie – Hellman function by Dan Bernstein
* 1944 – Carl Bernstein, American journalist
* 1971 – Josh Bernstein, American explorer and television host
* 1943 – Charles Bernstein, American composer
* 1960 – Adam Bernstein, American director
* 1910 – Harry Bernstein, English-American writer ( d. 2011 )
* 1919 – Robert Bernstein, American writer and playwright ( d. 1988 )
In fact the cardinality of sets fails to be totally ordered ( see Cantor – Bernstein – Schroeder theorem ).
* 1971 – Daniel J. Bernstein, American professor
* 1961 – Steven Bernstein, American jazz musician
* Candide – Second Version ( 1974 ) ( new lyrics by Sondheim ; original lyrics by Richard Wilbur ; music by Leonard Bernstein ; book by Hugh Wheeler )
* August 25 – Leonard Bernstein, American composer and conductor ( d. 1990 )
* November 14 – Leonard Bernstein, substituting at the last minute for ailing principal conductor Bruno Walter, directs the New York Philharmonic in its regular Sunday afternoon broadcast concert over CBS Radio.
* August 19 – Leonard Bernstein conducts his final concert, ending with Ludwig van Beethoven's Symphony No. 7 performed by the Boston Symphony Orchestra.
* October 14 – Leonard Bernstein dies of a heart attack at his home in New York City at 72.
* May 7 – Adam Bernstein, American music video / television director
* April 4 – Elmer Bernstein, American composer ( d. 2004 )
* January 6 – Eduard Bernstein, German social democratic theoretician and politician ( d. 1932 )
* August 18 – Elmer Bernstein, American composer ( b. 1922 )
** Fisch, Shalom M. and Lewis Bernstein, " Formative Research Revealed: Methodological and Process Issues in Formative Research ", pp. 39 – 60.
Following his divorce from the sculptor Lilian Swann Saarinen, his first wife, in 1954, Saarinen married Aline Bernstein Louchheim ( March 25, 1914 – July 13, 1972 ), an art critic at The New York Times.
Bernstein and Sato
* Bernstein – Sato polynomial, after Joseph Bernstein and Mikio Sato
In mathematics, the Bernstein – Sato polynomial is a polynomial related to differential operators, introduced independently by and,.
proved that all roots of the Bernstein – Sato polynomial are negative rational numbers.
The Bernstein – Sato polynomial can also be defined for products of powers of several polynomials.
generalized the Bernstein – Sato polynomial to arbitrary varieties.
Note, that the Bernstein – Sato polynomial can be computed algorithmically.
presented algorithms to compute the Bernstein – Sato polynomial of an affine variety together with an implementation in the computer algebra system SINGULAR.
described some of the algorithms for computing Bernstein – Sato polynomials by computer.
: so the Bernstein – Sato polynomial is
* The Bernstein – Sato polynomial of x < sup > 2 </ sup > + y < sup > 3 </ sup > is
) If f ( x ) is non-negative the inverse can be constructed using the Bernstein – Sato polynomial by taking the constant term of the Laurent expansion of f ( x )< sup > s </ sup > at s = − 1.
# REDIRECT Bernstein – Sato polynomial
showed that dimensional regularization is mathematically well defined, at least in the case of massive Euclidean fields, by using the Bernstein – Sato polynomial to carry out the analytic continuation.
Bernstein and polynomial
* Bernstein polynomial, named after Sergei Natanovich Bernstein
In the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials.
is called a Bernstein polynomial or polynomial in Bernstein form of degree n. The coefficients are called Bernstein coefficients or Bézier coefficients.
where b is a Bernstein basis polynomial
When choosing a point t < sub > 0 </ sub > to evaluate a Bernstein polynomial we can use the two diagonals of the triangle scheme to construct a division of the polynomial
We want to evaluate the Bernstein polynomial of degree 2 with the Bernstein coefficients
which is the expected Bernstein polynomial of degree 2.
* Bernstein polynomial
1.172 seconds.