said to be sequentially complete or semi-complete if every Cauchy sequence in S converges to an element in S. X is called sequentially complete if it is...

weakly sequentially complete. Theorem —For every measure μ , {\displaystyle \mu ,} the space L 1 ( μ ) {\displaystyle L^{1}(\mu )} is weakly sequentially complete...

exists a sequentially complete locally convex TVS that is not quasi-complete. If a TVS has a complete neighborhood of the origin then it is complete. Every...

{\displaystyle X.} A topological group is called sequentially complete if it is a sequentially complete subset of itself. Neighborhood basis: Suppose C...

where every Cauchy sequence converges is called sequentially complete; in general, it may not be complete (in the sense that all Cauchy filters converge)...

X} is sequentially bornological or S-bornological, which means that every convex and bornivorous subset of X {\displaystyle X} is sequentially open. where...

orthocomplementation operation is set complement. Moreover, this lattice is sequentially complete, in the sense that any sequence {Ei}i∈N of elements of the lattice...

quasi-barrelled spaces. There exist sequentially complete Mackey spaces that are not σ-quasi-barrelled. There exist sequentially barrelled spaces that are not...

space. A sequentially complete quasibarrelled space. A quasi-complete Hausdorff locally convex infrabarrelled space. A TVS is called quasi-complete if every...

kp p(x − y). If f is a p-contraction for all p ∈ P and (E, P) is sequentially complete, then f has a fixed point, given as limit of any sequence xn+1 =...

topology, the sequential coreflection. In the sequential coreflection, every sequentially-closed set is closed (and every sequentially-open set is open)...

above theorem: A sequentially complete bounded disk in a Hausdorff TVS is a Banach disk. Any disk in a Hausdorff TVS that is complete and bounded (e.g...

In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data...

In automata theory, sequential logic is a type of logic circuit whose output depends on the present value of its input signals and on the sequence of past...

Chem 12, Chemistry panel, Chemistry screen, SMA 12, SMA 20 and SMAC (Sequential Multiple Analysis - Computer). The tests are performed on machines based...

_{i=1}^{n}2^{-i}x_{i}.} In particular, if in addition D {\displaystyle D} is a sequentially complete subset of X , {\displaystyle X,} then this series s ∙ {\displaystyle...

&{\text{observation}}\end{array}}} the filtering problem is to estimate sequentially the values of the hidden states X k {\displaystyle X_{k}} , given the...

continuous. This includes all topological vector lattices that are sequentially complete. Theorem Let X {\displaystyle X} be an Ordered topological vector...

concerning the result. Assuming that X {\displaystyle X} is weakly sequentially complete Banach space, W. Orlicz proved the following Theorem. If a series...

form of hermaphroditism in fish in nature. About 75% of the 500 known sequentially hermaphroditic fish species are protogynous and often have polygynous...

importance for non-metrizable TVSs. Every quasi-complete TVS is sequentially complete. In a quasi-complete locally convex space, the closure of the convex...

In computational complexity theory, a decision problem is P-complete (complete for the complexity class P) if it is in P and every problem in P can be...

ultrabornological. Every Hausdorff sequentially complete bornological space is ultrabornological. Thus every complete Hausdorff bornological space is ultrabornological...

infinite-dimensional spaces, a set that is closed and bounded is not necessarily (sequentially) compact (as is the case in all finite dimensional spaces). Indeed, the...

process, each element is in a cluster of its own. The clusters are then sequentially combined into larger clusters until all elements end up being in the...

even when players participate in multiple mechanisms simultaneously or sequentially. The class of smooth mechanisms – mechanisms that generate approximately...

Sequential bilingualism occurs when a person becomes bilingual by first learning one language and then another. The process is contrasted with simultaneous...

drives, as opposed to devices such as tape drives that can only be read sequentially. VSAM records can be of fixed or variable length. They are organised...

are as nearly equal as possible. Greedy algorithms process the numbers sequentially, and insert the next number into a bin in which the sum of numbers is...

the father. By 2012 Costa Rica was the only country in the world with a complete ban on IVF technology, it having been ruled unconstitutional by the nation's...