In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions...

Saddle Point (53°1′S 73°29′E / 53.017°S 73.483°E / -53.017; 73.483) is a rocky point separating Corinthian Bay and Mechanics Bay on the north coast...

In mathematics, the method of steepest descent or saddle-point method is an extension of Laplace's method for approximating an integral, where one deforms...

multipliers. The Karush–Kuhn–Tucker theorem is sometimes referred to as the saddle-point theorem. The KKT conditions were originally named after Harold W. Kuhn...

include: Homoclinic bifurcation in which a limit cycle collides with a saddle point. Homoclinic bifurcations can occur supercritically or subcritically....

The saddle between two hills or mountains is the region surrounding the saddle point, the lowest point on the line tracing the drainage divide (the col)...

sufficient condition for a saddle point problem to have a unique solution that depends continuously on the input data. Saddle point problems arise in the discretization...

Stirling's Formula is considered one of the earliest examples of the saddle-point method. In 1990, Philippe Flajolet and Andrew Odlyzko developed the theory...

a stationary point that is not a local extremum is called a saddle point. An example of a stationary point of inflection is the point (0, 0) on the graph...

In the mathematical area of bifurcation theory a saddle-node bifurcation, tangential bifurcation or fold bifurcation is a local bifurcation in which two...

sufficient, conditions for a local maximum, because of the possibility of a saddle point. For use of these conditions to solve for a maximum, the function z must...

multivariable calculus used to determine if a critical point of a function is a local minimum, maximum or saddle point. Suppose that f(x, y) is a differentiable real...

least one saddle point. The historical meaning is a synonym for a gable roof particularly a dual-pitched roof on a tower, also called a pack-saddle roof....

the mass of the counter-Earth. The Sun–Earth L3, however, is a weak saddle point and exponentially unstable with time constant of roughly 150 years. Moreover...

one for the tail. The point ( 0 , 0 , 0 ) {\displaystyle (0,0,0)} on the monkey saddle corresponds to a degenerate critical point of the function z ( x...

the other values of the index, a non-degenerate critical point is a saddle point, that is a point which is a maximum in some directions and a minimum in...

(0)} is very close to a saddle point. The body would linger near the saddle point, then rapidly move to the other saddle point, near ω ( T / 2 ) {\displaystyle...

use of a gap, saddle, col or notch. A topographic saddle is analogous to the mathematical concept of a saddle surface, with a saddle point marking the minimum...

(mathematics) Fermat's theorem Derivative test Fixed point (mathematics) Saddle point Chiang, Alpha C. (1984). Fundamental Methods of Mathematical Economics...

These solutions may be minima, maxima, or saddle points; see section "Several variables" in Critical point (mathematics) and also section "Geometric interpretation"...

critical point where the Hessian is semidefinite but not definite may be a local extremum or a saddle point). However, more can be said from the point of view...

solution corresponding to the original constrained optimization is always a saddle point of the Lagrangian function, which can be identified among the stationary...

spiral points and one saddle point. If the linear nullcline pierces the cubic nullcline from downwards then it is a clockwise spiral point or a node. If the...

like it should mean 'saddle point'—but it has become standard." Several properties hold about a neighborhood of a hyperbolic point, notably A stable manifold...

Minmax (sometimes Minimax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy...

points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also give information about...

the point is unstable. If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a saddle point and...

A saddle is a supportive structure for a rider of an animal, fastened to an animal's back by a girth. The most common type is equestrian. However, specialized...

example of a degenerate critical point is the origin of the monkey saddle. The index of a non-degenerate critical point p {\displaystyle p} of f {\displaystyle...

Sidesaddle riding is a form of equestrianism that uses a type of saddle which allows riders, generally female, to sit aside rather than astride an equine...