Search results
Results from the WOW.Com Content Network
A saddle point (in red) on the graph of z = x 2 − y 2 (hyperbolic paraboloid). In mathematics, a saddle point or minimax point [1] is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function. [2]
The mountain pass theorem is an existence theorem from the calculus of variations, originally due to Antonio Ambrosetti and Paul Rabinowitz. [ 1 ] [ 2 ] Given certain conditions on a function, the theorem demonstrates the existence of a saddle point .
Cayley–Hamilton theorem (Linear algebra) Cayley–Salmon theorem (algebraic surfaces) Cayley's theorem (group theory) Central limit theorem (probability) Cesàro's theorem (real analysis) Ceva's theorem ; Chasles' theorem, Chasles' theorem ; Chasles' theorem (algebraic geometry) Chebotarev's density theorem (number theory)
The example function (,) = (+) illustrates that the equality does not hold for every function. A theorem giving conditions on f , W , and Z which guarantee the saddle point property is called a minimax theorem .
Download as PDF; Printable version; ... Pages in category "Theorems in linear algebra" ... Cayley–Hamilton theorem; Chebotarev theorem on roots of unity; Cramer's rule;
An asymptotic evaluation is then possible along the lines of the linear stationary phase/steepest descent method. The idea is to reduce asymptotically the solution of the given Riemann–Hilbert problem to that of a simpler, explicitly solvable, Riemann–Hilbert problem. Cauchy's theorem is used to justify deformations of the jump contour.
Lines through a given point P and asymptotic to line R. Non-intersecting lines in hyperbolic geometry also have properties that differ from non-intersecting lines in Euclidean geometry: For any line R and any point P which does not lie on R, in the plane containing line R and point P there are at least two distinct lines through P that do not ...
1.3 Linear algebra. 1.4 Group theory. ... Download as PDF; Printable version; ... An example of a covering described by the Knaster–Kuratowski–Mazurkiewicz lemma.