Convexity in a sentence

Convexity and non-convexity Polygons may be characterized by their convexity or type of non-convexity: * Convex : any line drawn through the polygon (and not tangent to an edge or corner) meets its boundary exactly twice.

The reason you want to buy VIX options instead of just using put options on your SPX position is because the VIX has more convexity.

A convexity property of positive matrices.

An "informal" presentation appears in pages 63–65 of Laffont: citation Uniqueness seeAlso Although generally (assuming convexity) an equilibrium will exist and will be efficient, the conditions under which it will be unique are much stronger.

Classification Criteria Like all polytopes, 4-polytopes may be classified based on properties like " convexity " and " symmetry ".

Convexity follows from players' ability to mix strategies.

For the ordinary convexity, the first two axioms hold, and the third one is trivial.

Historically, ideas from linear programming have inspired many of the central concepts of optimization theory, such as duality, decomposition, and the importance of convexity and its generalizations.

It also requires compactness and convexity of the set.

More generally, Euler's formula applies to any polyhedron whose faces are simple polygons that form a surface topologically equivalent to a sphere, regardless of its convexity.

Published as an introduction to R. B. Israel, Convexity in the Theory of Lattice Gases, (Princeton, NJ: Princeton University Press, 1979), pp. ix–lxxxv.

Surely aware of the sea's convexity, he may have designed his map on a slightly rounded metal surface.

The Bohr–Mollerup theorem is useful because it is relatively easy to prove logarithmic convexity for any of the different formulas used to define the gamma function.

The common name "generalized convexity" is used, because the resulting objects retain certain properties of convex sets.

The conceptual issues raised by complex polytopes, non-convexity, duality and other phenomena led Grünbaum and others to the more general study of abstract combinatorial properties relating vertices, edges, faces and so on.

There is no angle, but at the tubercle the rib is slightly bent, with the convexity upward, so that the head of the bone is directed downward.

Von Neumann's method used a pivoting algorithm between simplices, with the pivoting decision determined by a nonnegative least squares subproblem with a convexity constraint ( projecting the zero-vector onto the convex hull of the active simplex ).

With enough consumers, the convexity assumption can be relaxed both for existence and the second welfare theorem.