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quadric expression

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  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Quadratic function — A quadratic function, in mathematics, is a polynomial function of the form f(x)=ax^2+bx+c ,!, where a e 0 ,!. The graph of a quadratic function is a parabola whose major axis is parallel to the y axis.The expression ax^2+bx+c in the definition of …   Wikipedia

  • Intersection theory (mathematics) — In mathematics, intersection theory is a branch of algebraic geometry, where subvarieties are intersected on an algebraic variety, and of algebraic topology, where intersections are computed within the cohomology ring. The theory for varieties is …   Wikipedia

  • Calabi conjecture — In mathematics, the Calabi conjecture was a conjecture about the existence of good Riemannian metrics on complex manifolds, made by Eugenio Calabi (1954, 1957) and proved by Shing Tung Yau (1977, 1978). The Calabi conjecture states that …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

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