In mathematics, transversality is a notion that describes how spaces can intersect; transversality can be seen as the "opposite" of tangency, and plays...

Look up transversality or transversality condition in Wiktionary, the free dictionary. Transversality may refer to: Transversality (mathematics), a notion...

In differential topology, the transversality theorem, also known as the Thom transversality theorem after French mathematician René Thom, is a major result...

In optimal control theory, a transversality condition is a boundary condition for the terminal values of the costate variables. They are one of the necessary...

In mathematics, particularly in combinatorics, given a family of sets, here called a collection C, a transversal (also called a cross-section) is a set...

Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400...

Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...

equilibrium points and hyperbolic periodic orbits and satisfying a transversality condition on the stable and unstable manifolds. Morse–Smale systems...

category (since the composition may not be well-defined) without some transversality conditions. Notes He means geometric quantization. Sources Weinstein...

stratifiés, Bulletin of the American Mathematical Society Vol. 75, pp. 240–284), 1969. Trotman, David Stability of transversality to a stratification implies Whitney...

Water waves involve both longitudinal and transverse motions. Mathematically, the simplest kind of transverse wave is a plane linearly polarized sinusoidal...

depends on and is intimately related to the transversality properties of smooth manifolds—see Thom transversality theorem. By reversing this construction...

Helmut. Transversality results in the elliptic Morse theory of the action functional (jointly with A. Floer and D. Salamon) Duke Mathematical Journal...

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether...

constraint). The weak version, for 2 m + 1 {\displaystyle 2m+1} , is due to transversality (general position, dimension counting): two m-dimensional manifolds...

The transverse field Ising model is a quantum version of the classical Ising model. It features a lattice with nearest neighbour interactions determined...

that in the case of a nondefinite metric, orthogonality does not imply transversality. Since vector fields can be visualized as stream-lines of a stationary...

and Brouwer". René Thom (1954) In this paper, Thom proved the Thom transversality theorem, introduced the notions of oriented and unoriented cobordism...

Thom spaces, characteristic classes, cobordism theory, and the Thom transversality theorem. Another example of this line of work is the Thom conjecture...

of f. Counting codimensions in M × M {\displaystyle M\times M} , a transversality assumption for the graph of f and the diagonal should ensure that the...

manifold has never been rigorously given. The main challenge is the transversality issue, which is essential in defining the counting of holomorphic disks...

Transversals are a geometric construction on a scientific instrument to allow a graduation to be read to a finer degree of accuracy. Their use creates...

which satisfy further restrictions (finitely many periodic points and transversality of stable and unstable submanifolds). Smale horseshoe map is an axiom...

example of a 3×3 Latin square is The name "Latin square" was inspired by mathematical papers by Leonhard Euler (1707–1783), who used Latin characters as symbols...

In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking...

transverse Mercator projection is the transverse aspect of the standard (or Normal) Mercator projection. They share the same underlying mathematical construction...

Boston, Inc. p. 89. ISBN 0-8176-3164-X. Kleiman, Steven L. (1974), "The transversality of a general translate", Compositio Mathematica, 28: 287–297, ISSN 0010-437X...

In mathematics, the theory of Latin squares is an active research area with many open problems. As in other areas of mathematics, such problems are often...

: A.4  Transverse modes, modes that have at least one of the electric field and magnetic field entirely in a transverse direction.: 52  Transverse electromagnetic...

In mathematics, a transverse knot is a smooth embedding of a circle into a three-dimensional contact manifold such that the tangent vector at every point...