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 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...

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...

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

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...

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

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

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

(2009). "Reality and transversality for Schubert calculus in OG(n,2n+1)". arXiv:0911.2039 [math.AG]. Boris Shapiro at the Mathematics Genealogy Project "Archived...

In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe...

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...

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

Grothendieck duality theory, Springer-Verlag. Kleiman, Steven L. (1974), "The transversality of a general translate", Compositio Mathematica, 28 (3): 287–297. Altman...

In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally...

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

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

and is solved forwards in time. The costate equation must satisfy a transversality condition and is solved backwards in time, from the final time towards...

\theta =\alpha \quad {\text{or}}\quad \theta =\alpha +\pi .} In modern mathematics, given the multitude of geometries, the concept of a line is closely...

This concern runs through all of his works, from Psychoanalysis and Transversality (a collection of articles from 1957 to 1972), through Years of Winter...

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

list of jets over different base-points. Mather proved the multijet transversality theorem, which he used in his study of stable mappings. Suppose that...

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...

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

In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...

^{2m}} ⁠ with transverse self-intersections. These are known to exist from Whitney's earlier work on the weak immersion theorem. Transversality of the double...

spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic). Classic geometry...