singular fiber
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Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… … Wikipedia
fiber optics — noun plural Date: 1956 1. thin transparent fibers of glass or plastic that are enclosed by material of a lower refractive index and that transmit light throughout their length by internal reflections; also a bundle of such fibers used in an… … New Collegiate Dictionary
Vanishing cycle — In mathematics, vanishing cycles are studied in singularity theory and other part of algebraic geometry. They are those homology cycles of a smooth fiber in a family which vanish in the singular fiber.A classical result is the Picard Lefschetz… … Wikipedia
Tate's algorithm — In the theory of elliptic curves, Tate s algorithm, described by harvs|txt=yes|last=Tate|first=John|authorlink=John Tate|year=1975, takes as input an integral model of an elliptic curve E over mathbb{Q} and a prime p. It returns the exponent f p… … Wikipedia
Elliptic surface — In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper connected smooth morphism to an algebraic curve, almost all of whose fibers are elliptic curves. The fibers that are not elliptic curves are… … Wikipedia
Minimal negation operator — In logic and mathematics, the minimal negation operator u! is a multigrade operator ( u {k}) {k in mathbb{N where each u {k}! is a k ary boolean function defined in such a way that u {k}(x 1, ldots , x k) = 1 if and only if exactly one of the… … Wikipedia
BRST quantization — In theoretical physics, BRST quantization (where the BRST refers to Becchi, Rouet, Stora and Tyutin) is a relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier QFT frameworks… … Wikipedia
Milnor map — In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book Singular Points of Complex Hypersurfaces (Princeton University Press, 1968) and earlier lectures. The most studied… … Wikipedia
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia
Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… … Wikipedia
Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… … Wikipedia