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Topics related to "Weierstrass,"

mathematics
mathematics deductive study of numbers, geometry, and various abstract constructs, or structures; the latter often "abstract" the features common to several models derived from the empirical, or applied, sciences, although many emerge from purely mathematical or logical considerations. Mathemat... Read more

Encyclopedia entries related to "Weierstrass,"

Karl Wilhelm Theodor Weierstrass
Book article from: The Columbia Encyclopedia, Sixth Edition Karl Wilhelm Theodor Weierstrass , 1815-97, German mathematician. From 1864 he was professor of mathematics at the Univ. of Berlin. His development of the...
Kovalevskaya, Sofia Vasilievna
Encyclopedia entry from: Encyclopedia of Russian History ...Kovalevskaya, mentored by the eminent German mathematician Karl Weierstrass, received a doctorate from G ö ttingen University...teaching work in Russia, Kovalevskaya, at the urging of Weierstrass and the Swedish mathematician Gustav Mittag-Leffler, accepted...
Fractal
Encyclopedia entry from: The Gale Encyclopedia of Science ...to eventually define fractals. German mathematician Karl Weierstrass (1815 – 1897) analyzed and graphed a function...Niels Fabian Helge von Koch (1870 – 1924) refined Weierstrass ’ s work and defined another function, what is...
complex variable analysis
Book article from: The Columbia Encyclopedia, Sixth Edition ...called singular points, where a function fails to have a derivative. The theory of functions of a complex variable was developed during the 19th cent. by A. L. Cauchy, C. F. Gauss, B. Riemann, K. T. Weierstrass, and others.
Sonya Kovalevsky
Book article from: The Columbia Encyclopedia, Sixth Edition ...Kovalevsky , 1850-91, Russian mathematician. She studied at the universities of Heidelberg and Berlin (under K. T. Weierstrass) and in 1874 received a Ph.D. in absentia from the Univ. of Göttingen for her remarkable thesis on partial...
Georg Cantor
Book article from: The Columbia Encyclopedia, Sixth Edition Georg Cantor , 1845-1918, German mathematician, b. St. Petersburg. He studied under Karl Weierstrass and taught (1869-1913) at the Univ. of Halle. He is known for his work on transfinite numbers and on the development of set...

Dictionary entries related to "Weierstrass,"

Mittag-Leffler, Magnus Gustaf (Gösta)
Dictionary entry from: Complete Dictionary of Scientific Biography ...whom he met in Paris, he went to study under Weierstrass in Berlin. Weierstrass exerted a decisive influence on his subsequent...most important contributions clearly reflect Weierstrass ’ influence. Thus, where Weierstrass...
Kovalevsky, Sonya (or Kovalevskaya, Sofya Vasilyevna)
Dictionary entry from: Complete Dictionary of Scientific Biography ...for Berlin, where she studied with Weierstrass, and Vladimir went to Jena to obtain...to university lectures; consequently Weierstrass tutored her pri. vately during the...strong letters of recommendation from Weierstrass. she was unable to obtain an academic...
Hölder, Otto Ludwig
Dictionary entry from: Complete Dictionary of Scientific Biography ...study mathematics was Berlin, where Weierstrass, Kronecker, and Kummer were teaching...at the University of Berlin in 1877, Weierstrass, lecturing on the theory of functions...rigorous foundation of analysis given by Weierstrass, H ö lder developed the continuity...
Bolza Oskar
Dictionary entry from: Complete Dictionary of Scientific Biography ...an able follower of his teachers Karl Weierstrass and Felix Klein. In the realm of reduction...presented the most recent contributions of Weierstrass Adolf kneser and David Hilbert as well...Marie Legendre Karl Jacobi, and Karl Weierstrass had formulated the previous four. The...
Cantor, Georg
Dictionary entry from: Complete Dictionary of Scientific Biography ...death of his father. At that time Karl Weierstrass, famed as a teacher and as a researcher...on series and real numbers attests to Weierstrass ’ influence, although in...senior. Both revered their teacher, Weierstrass; and both were concerned to gain the...
Runge, Carl David Tolmé
Dictionary entry from: Complete Dictionary of Scientific Biography ...to pure mathematics, becoming one of Weierstrass ’ disciples. In the winter...of his doctorate, placed alongside Weierstrass as one of the two men “ to...differential geometry, a topic unrelated to Weierstrass ’ interest (or his own subsequent...
Kummer, Ernst Eduard
Dictionary entry from: Complete Dictionary of Scientific Biography ...hindered the chances of success for Weierstrass ’ application for the Bnreslau...on the recommendation of Kummer and Weierstrass; it soon attracted gifted young mathematicians...were counted at his lectures. While Weierstrass and Kronecker offered the most recent...
Netto, Eugen
Dictionary entry from: Complete Dictionary of Scientific Biography ...influenced mainly by Kronecker, Kummer, and Weierstrass. In 1870 he graduated with honors from...x3B7; 2 = R 1 ( ξ ) (Weierstrass was chief referee). After teaching...of Strasbourg in 1879. In 1882, on Weierstrass ’ recommendation, Netto was...
Du Bois-Reymond, Paul David Gustav
Dictionary entry from: Complete Dictionary of Scientific Biography ...Riemann ’ s ideas and at a time when the results of Weierstrass ’ work had not been published and were little known...expressed independently by Dini (1878), who ascribed it to Weierstrass. The latter, however, developed a similar but more specialized...
Hurwitz, Adolf
Dictionary entry from: Complete Dictionary of Scientific Biography ...University, where he attended courses given by Kummer, Weierstrass, and Kronecker. Then he returned to Munich, only to follow...according to Meissner, he turned anew to Berlin to study with Weierstrass and Kronecker. (Hilbert did not know of a second stay in...

Related newspaper, magazine, and trade journal articles from HighBeam Research

Korovkin and Weierstrass approximation via lacunary statistical sequences.
Magazine article from: Journal of Mathematics and Statistics; 4/1/2005; ; 700+ words ; ...study we shall extended Korovkin and Weierstrass approximation theorem to lacunary statistical...that these theorem can be viewed as a Weierstrass approximation theorem via statistical...convergent and observes that we have similar Weierstrass type approximation for lacunary statistical...
Weierstrass' Theorem in weighted Sobolev spaces with K derivatives: announcement of results.
Magazine article from: Electronic Transactions on Numerical Analysis; 8/1/2006; ; 700+ words ; ...independence among the weights [w.sub.j]'s. Key words. Weierstrass' theorem, weight, Sobolev spaces, weighted Sobolev spaces...46G10 1. Introduction. If I is any compact interval, Weierstrass' Theorem says that C(I) is the largest set of functions...
Data on physics published by A.J. Brizard and colleagues.
Newspaper article from: Physics Week; 8/18/2009; 475 words ; ...United States, "The Jacobi and Weierstrass elliptic functions used to be part...motion of a spherical pendulum (Weierstrass) and the motion of a heavy symmetric top with one fixed point (Weierstrass). The planar pendulum can, in...
New data from A. Huber et al illuminate research in computational mathematics.(Report)
Newspaper article from: Journal of Mathematics; 8/4/2008; 594 words ; ...Computation, "In this paper, the Weierstrass transform method is applied to a non...exact class of solutions in terms of the Weierstrass elliptic function gamma(xi; g(2...where we have applied successfully the Weierstrass transform method to the important KdV...
New mathematics study findings have been reported from Leiden University.
Newspaper article from: Journal of Mathematics; 7/14/2009; 655 words ; ...data determined by the distribution of Weierstrass points over the special fiber, in the...local contributions associated to its Weierstrass points." Dejong and colleagues published...Mathematica (Local invariants attached to Weierstrass points. Manuscripta Mathematica, 2009...
Calculus and Analytical Mechanics in the Age of Enlightenment.(Review)
Magazine article from: Canadian Journal of History; 12/1/1998; ; 700+ words ; ...and its ultimate elucidation by Karl Weierstrass (1815-97). This surely was the...of the calculus. But, of course, Weierstrass did not live in the 18th century, the...functions was necessarily continuous. Weierstrass got it right and modern real analysis...
Functional link neural network applied in linear programming problem.
Magazine article from: International Journal of Applied Engineering Research; 9/1/2008; ; 700+ words ; ...technique Neural Network Representing Weierstrass's First Approximation Theorem The neural network representation of Weierstrass's first approximation theorem...the trigonometric polynomial in Weierstrass's first approximation theorem...
On the elliptic function arising from the theta functions and Dedekind's [eta]-function.
Magazine article from: Journal of Mathematics and Statistics; 4/1/2005; ; 700+ words ; ...relationship between the sigma function of Weierstrass and theta functions. An elliptic function...astablished with the help of sigma function of Weierstrass and two relations between the Dedekind...connected which the sigma function of Weierstrass. Let [tau] be a complex variable...
New modern physics study findings have been reported by scientists at University of Quebec.(Report)
Newspaper article from: Physics Week; 5/12/2009; 700+ words ; ...According to recent research from Canada, "In this paper, the Weierstrass technique for harmonic maps S-2 → CPN-1 is employed...functional of this model is finite, then the generalized Weierstrass formula for immersion describes conformally parametrized...
Research data from University of Aveiro update understanding of geometry.
Newspaper article from: Journal of Mathematics; 3/3/2009; 584 words ; ...We estimate also the box dimensions of trigonometrical Weierstrass-type functions. Secondly, we investigate some criteria...Patterns and Scaling in Nature and Society (FRACTAL GEOMETRY OF WEIERSTRASS-TYPE FUNCTIONS. Fractals - Complex Geometry Patterns and...