Search results
Results From The WOW.Com Content Network
Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine subspace and a convex cone . The class of conic optimization problems includes some of the most well known classes of convex optimization problems, namely linear and semidefinite programming .
Second-order cone programming. A second-order cone program ( SOCP) is a convex optimization problem of the form. minimize. subject to. where the problem parameters are , and . is the optimization variable. is the Euclidean norm and indicates transpose. [ 1] The "second-order cone" in SOCP arises from the constraints, which are equivalent to ...
A cone C is a convex cone if αx + βy belongs to C, for any positive scalars α, β, and any x, y in C. [4] [5] A cone C is convex if and only if C + C ⊆ C. This concept is meaningful for any vector space that allows the concept of "positive" scalar, such as spaces over the rational, algebraic, or (more commonly) the real numbers. Also note ...
Circuit breaker design pattern. Circuit breaker is a design pattern used in software development. It is used to detect failures and encapsulates the logic of preventing a failure from constantly recurring, during maintenance, temporary external system failure or unexpected system difficulties. Circuit breaker pattern prevents cascading failures ...
Often the cone-in-cone will be found as features of calcite layers within a shale, [5] and rarely within a dedolomite (calcitized dolomite). [6] Cone-in-cone structures should not be confused with either shatter cones such as are produced by meteorite impacts, or with shear cones like those developed in coals. Both these structures differ from ...
Definition. Hilbert basis visualization. Two rays in the plane define an infinite cone of all the points lying between them. The unique Hilbert basis points of the cone are circled in yellow. Every integer point in the cone can be written as a sum of these basis elements. As you change the cone by moving one of the rays, the Hilbert basis also ...
A double cone (not shown infinitely extended) 3D model of a cone. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex . A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all ...
The term cone of uncertainty is used in software development where the technical and business environments change very rapidly. However, the concept, under different names, is a well-established basic principle of cost engineering. Most [citation needed] environments change so slowly that they can be considered static for the duration of a ...