Complex convexity information

Complex convexity is a general term in complex geometry. A set Ω {\displaystyle \Omega } in C n {\displaystyle \mathbb {C} ^{n}} is called C {\displaystyle...

This implies that convexity is invariant under affine transformations. Further, it implies that a convex set in a real or complex topological vector...

In finance, bond convexity is a measure of the non-linear relationship of bond prices to changes in interest rates, and is defined as the second derivative...

{\displaystyle a+b\leq 1.} The concept of strong convexity extends and parametrizes the notion of strict convexity. Intuitively, a strongly-convex function is...

This is a list of convexity topics, by Wikipedia page. Alpha blending - the process of combining a translucent foreground color with a background color...

{P} _{m}} is a projective complex varieties) does not become a Stein manifold, even if it satisfies the holomorphic convexity. The proof method uses an...

^{(1)}} is the polygamma function of order 1. To prove the logarithmic convexity of the gamma function, it therefore suffices to observe that ψ ( 1 ) {\displaystyle...

many of the key properties of the sine function (sign, monotonicity, convexity), arranged by the quadrant of the argument. For arguments outside those...

Stein manifold admits such a function. Bremermann, H. J. (1956). "Complex Convexity". Transactions of the American Mathematical Society. 82 (1): 17–51...

{\displaystyle S.} This definition is immediately generalizable to any real, or complex, vector space. Intuitively, if one thinks of S {\displaystyle S} as a region...

Convexity in economics is included in the JEL classification codes as JEL: C65 Convexity is a geometric property with a variety of applications in economics...

the circle, because of the lack of convexity of Lp in this case. Convexity fails but a kind of "complex convexity" remains, namely the fact that z → |z|q...

( B + t C ) ] {\displaystyle F(t)=\operatorname {Tr} [f(B+tC)]} . By convexity and monotonicity of trace functions, F ( t ) {\displaystyle F(t)} is convex...

Holomorphically convex hull Stein manifold Bremermann, H. J. (1956). "Complex Convexity". Transactions of the American Mathematical Society. 82 (1): 17–51...

John B. Conway. Functions of One Complex Variable I, second edition. Springer-Verlag, 1995. ISBN 0-387-90328-3. "Convexity, logarithmic", Encyclopedia of...

part of the substantia nigra, forming a series of curves with a lateral convexity, and emerge from the oculomotor sulcus on the medial side of the cerebral...

said to be quasiconcave. Quasiconvexity is a more general property than convexity in that all convex functions are also quasiconvex, but not all quasiconvex...

{\displaystyle \ \mathbf {x} ~.} More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is positive-definite if the real...

the number of sides. Polygons may be characterized by their convexity or type of non-convexity: Convex: any line drawn through the polygon (and not tangent...

distances | p i p j | {\displaystyle |p_{i}p_{j}|} are less than radius of convexity. Christoffel symbol Collapsing manifold Complete space Completion Conformal...

traditional polytopes such as angles, edge-lengths, skewness, straightness and convexity have no meaning for an abstract polytope. What is true for traditional...

{\displaystyle f^{\prime }(-1^{+})=f^{\prime }(0^{+}),} and then the convexity condition implies that f {\displaystyle f} is linear on (−1, 0). Therefore...

(PDF) on 2019-08-25. Retrieved 2018-03-24. Ekeland, Ivar (1990). "One". Convexity methods in Hamiltonian mechanics. Ergebnisse der Mathematik und ihrer...