Synonymer & Information om | Engelska ordet NONSINGULAR

Exempel på hur man kan använda NONSINGULAR i en mening

• As a rule of thumb, it can occur whenever there are at least two parameters characterizing a wave in the vicinity of some sort of singularity or hole in the topology; two parameters are required because either the set of nonsingular states will not be simply connected, or there will be nonzero holonomy.
• The injective hulls of nonsingular rings provide an analogue of the ring of quotients for non-commutative rings, where the absence of the Ore condition may impede the formation of the classical ring of quotients.
• The strict concavity of the objective function implies that the Jacobian of f, which is exactly the matrix of second partial derivatives of p with respect to the endogenous variables, is nonsingular (has an inverse).
• Generalizations of von Neumann regular rings include π-regular rings, left/right semihereditary rings, left/right nonsingular rings and semiprimitive rings.
• If C is a projective, nonsingular curve of genus ≥ 0 over k, and J its Jacobian, then the theta-divisor of J induces a principal polarisation of J, which in this particular case happens to be an isomorphism (see autoduality of Jacobians).
• The Enriques–Kodaira classification of compact complex surfaces states that every nonsingular minimal compact complex surface is of exactly one of the 10 types listed on this page; in other words, it is one of the rational, ruled (genus > 0), type VII, K3, Enriques, Kodaira, toric, hyperelliptic, properly quasi-elliptic, or general type surfaces.
• By inverting the Erdős lemniscate in the unit circle, one obtains a nonsingular curve of degree n.
• 1984 Benedetti and Dedo proved that not every closed smooth manifold is diffeomorphic to a totally algebraic nonsingular real algebraic set (totally algebraic means all its Z/2Z-homology cycles are represented by real algebraic subsets).
• In Murrinh-patha, nonsingular pronouns are differentiated not only by the gender makeup of the group, but also by the members' interrelation.
• However, in verbs, three numbers are distinguished—singular, dual, and plural—because of this distinction in verbs the plural suffixes on nouns are more appropriately duoplural (Trager uses the term "nonsingular").
• Local uniformization (proved in characteristic 0 by Zariski) can be interpreted as saying that the Zariski–Riemann space of a variety is nonsingular in some sense, so is a sort of rather weak resolution of singularities.
• In mathematics, a quasitoric manifold is a topological analogue of the nonsingular projective toric variety of algebraic geometry.
• Witten later changed his mind, and argued that nonperturbatively 2+1D topological gravity differs from Chern–Simons because the functional measure is only over nonsingular vielbeins.
• Johann Fellman has studied optimal designs for nonsingular or nondifferentiable information functions as well economic theory, and genetics (particularly the frequency of twin births) and for his supervision of Kenneth Nordström and Katarina Juselius.
• Theorem: If R is a right self injective ring, then the following conditions on R are equivalent: right nonsingular, von Neumann regular, right semihereditary, right Rickart, Baer, semiprimitive.
• Ellis, whose motivation was to find a nonsingular replacement for the Schwarzschild model of an elementary gravitating particle, showed that only the antiorthodox polarity would do, but found all the solutions for either polarity, as did Bronnikov.

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