analysis, semicontinuity (or semi-continuity) is a property of extended real-valued functions that is weaker than continuity. An extended real-valued function...

form of continuity is uniform continuity. In order theory, especially in domain theory, a related concept of continuity is Scott continuity. As an example...

this property is sometimes called coercive. Showing sequential lower semi-continuity is usually the most difficult part when applying the direct method...

mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions. Intuitively...

{\displaystyle M} and completes the proof. ∎ If the continuity of the function f is weakened to semi-continuity, then the corresponding half of the boundedness...

those in the Kakutani fixed-point theorem, where convexity and upper semi-continuity guarantee existence. Kakutani fixed-point theorem: Every correspondence...

certain growth condition of the integrand, the sequential weakly lower semi-continuity (swlsc) of an integral functional in an appropriate Sobolev space is...

countable. ld – binary logarithm (log2). (Also written as lb.) lsc – lower semi-continuity. lerp – linear interpolation. lg – common logarithm (log10) or binary...

in the regular Marvel continuity between the first two-story arcs of New Avengers, and it is currently held as semi-continuity for IDW, which entails...

type due to simplicity of implementation. Integer-valued polynomial Semi-continuity Rank (disambiguation)#Mathematics Grade (disambiguation)#In mathematics...

In calculus, the notions of one-sided differentiability and semi-differentiability of a real-valued function f of a real variable are weaker than differentiability...

that is not an enclave, as it borders Armenia, Iran, and Turkey. Semi-enclaves and semi-exclaves are areas that, except for possessing an unsurrounded sea...

neighborhood filter). This version is often useful in discussions of semi-continuity which crop up in analysis quite often. An interesting note is that...

instead with the Sobolev spaces. The terms parametric continuity (Ck) and geometric continuity (Gn) were introduced by Brian Barsky, to show that the...

sequence can be chosen uniformly convergent. The inequality in the usual semi-continuity condition holds as equality, i.e. if f {\displaystyle f} is plurisubharmonic...

authors differ on whether "semi-continuity" or "hemi-continuity" is the preferred language for Vietoris-Berge continuity concepts. Beer, Gerald (1993)...

Pseudo- Quasi-) Convex function Invex function Legendre transformation Semi-continuity Subderivative Main results (list) Carathéodory's theorem Ekeland's...

Catholique de Louvain (Belgium) is attributed to him. Weak continuity and weak lower semi-continuity of non linear functionals; Lecture Notes in Math. Springer-Verlag...

of a function Uniform continuity Modulus of continuity Lipschitz continuity Semi-continuity Equicontinuous Absolute continuity Hölder condition – condition...

\;C^{0}(\Theta )\;{\Bigr ]}=1.} The continuity here can be replaced with a slightly weaker condition of upper semi-continuity. Dominance: there exists D(x)...

{E} ^{x}[f(X_{t})].} Lower semi-continuity: if f is lower semi-continuous, then u is lower semi-continuous. Feller continuity: if f is bounded and continuous...

Assyrian continuity is the study of continuity between the modern Assyrian people, a recognised Semitic indigenous ethnic, religious, and linguistic minority...

conditions Lagrange multiplier Lagrange multipliers on Banach spaces Semi-continuity Complementarity theory — study of problems with constraints of the...

stated (and demonstrated) property of this functional was its lower semi-continuity. In the paper (Caccioppoli 1928), he precised by using a triangular...

Forelli's theorem. Math. Ann. 355 (2013), no. 3, 1171–1176. Kim, Kang-Tae Semi-continuity theorems for holomorphic automorphism groups. Proceedings of the 15th...

Mommsen, Imperialism and after: continuities and discontinuities. London: Allen & Unwin, 1986, pp. 290-314; Nicholas Zeller, "Semi-colonialism in China". in:...

first-generation Optimus Prime transforms into a Freightliner FL86 cab over semi truck. Within his chest is a mystic talisman, known as the Autobot Matrix...

Continuity of Congress: The First Report of the Continuity of Government Commission" (PDF). Preserving Our Institutions. Washington, D.C.: Continuity...

Evolution is the change in the heritable characteristics of biological populations over successive generations. It occurs when evolutionary processes such...

step often requires F {\displaystyle F} to obey a (sequential) lower semi-continuity property in the weak* topology. When X ′ {\displaystyle X^{\prime }}...