quadratic form oor Sjinees
quadratic form
Vertalings in die woordeboek Engels - Sjinees
二次型
en
homogeneous polynomial of degree two in a number of variables
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
It does for quadratic forms, but certainly not in general (for example for elliptic curves).
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Once this was understood various other examples were collected under the heading, for other algebraic groups: quadratic forms for orthogonal groups, and Severi–Brauer varieties for projective linear groups being two.
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This is important partly because the second-order behavior of every smooth multi-variable function is described by the quadratic form belonging to the function's Hessian; this is a consequence of Taylor's theorem.
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In 1906 he published Quadratic Forms and their Classification by Means of Invariant Factors.
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The chapter on definite quadratic forms contains a clear account of the work done on the reduction problem.
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There are several chapters dealing with quadratic forms.
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Clifford algebras are used today in the theory of quadratic forms and in relativistic quantum mechanics .
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Minkowski became interested in quadratic forms early in his university studies.
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He applied these results to number theory, in particular to class number relations of quadratic forms.
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Toeplitz worked on infinite linear and quadratic forms .
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With his understanding of quadratic forms and invariant theory he created a theory of transformations in 1855.
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His early work was on quadratic forms in fields, particularly fields of characteristic 2.
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Quadratic forms : analytic theory and modular forms.
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He also advanced the theory of bilinear and quadratic forms .
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These papers introduce Dirichlet series and determine, among other things, the formula for the class number for quadratic forms.
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He was able to use his methods to prove many results in the theory of quadratic forms and number theory.
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In a short eleven year career Zolotarev produced fundamental work in approximation theory, quadratic forms , algebraic numbers and elliptic integrals .
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Hermite had posed the problem of finding the minimal values of quadratic forms in n variables whose coefficients were real.
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Minkowski's original mathematical interests were in pure mathematics and he spent much of his time investigating quadratic forms and continued fractions .
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It was at Göttingen that he obtained his doctorate in 1912, working with Landau on analytic number theory and binary quadratic forms .
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Witt's work was mainly concerned with quadratic forms and various related fields such as algebraic function fields, Witt vectors, Lie rings and Mathieu groups.
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He worked on the theory of forms with the aim of generalising the results obtained by Gauss in Disquisitiones arithmeticae for the theory of quadratic forms.
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Minkowski, although only eighteen years old at the time, reconstructed Eisenstein 's theory of quadratic forms and produced a beautiful solution to the Grand Prix problem.
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He published his results in The orders and genera of quadratic forms containing more than three indeterminates published in the Proceedings of the Royal Society in 1867.
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Among the chapter headings are convex bodies in lattices, star bodies, linear forms, minima of homogeneous forms, inhomogeneous forms, definite quadratic forms, continued fractions and algebraic numbers.
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48 sinne gevind in 14 ms. Hulle kom uit baie bronne en word nie nagegaan nie.