mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements...

studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for...

Euclidean vector spaces, examples of Hilbert spaces include spaces of square-integrable functions, spaces of sequences, Sobolev spaces consisting of generalized...

{\displaystyle \ell ^{\infty },} the space of bounded sequences. The space of sequences has a natural vector space structure by applying scalar addition...

evolutionary biology, sequence space is a way of representing all possible sequences (for a protein, gene or genome). The sequence space has one dimension...

mathematics, a BK-space or Banach coordinate space is a sequence space endowed with a suitable norm to turn it into a Banach space. All BK-spaces are normable...

metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M. Intuitively, a space is complete...

a FK-space or Fréchet coordinate space is a sequence space equipped with a topological structure such that it becomes a Fréchet space. FK-spaces with...

In mathematics, an Orlicz sequence space is any of certain class of linear spaces of scalar-valued sequences, endowed with a special norm, specified below...

{\displaystyle \ell ^{\infty }} , the (real or complex) vector space of bounded sequences with the supremum norm, and L ∞ = L ∞ ( X , Σ , μ ) {\displaystyle...

the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space. Banach spaces are named after the Polish...

In mathematics, a Cauchy sequence is a sequence whose elements become arbitrarily close to each other as the sequence progresses. More precisely, given...

is a certain linear subspace of the algebraic dual of a sequence space. Given a sequence space X, the β-dual of X is defined as X β := { x ∈ K N   :  ...

In mathematics, a sequence transformation is an operator acting on a given space of sequences (a sequence space). Sequence transformations include linear...

FK-AK spaces are separable spaces. BK-space – Sequence space that is Banach FK-space – Sequence space that is Fréchet Normed space – Vector space on which...

and a free corner space) is counted as a sequence. Sequences of the same color may intersect, but only at a single position. Sequence rules dictate no...

natural number n {\displaystyle n} . The set of all bounded sequences forms the sequence space l ∞ {\displaystyle l^{\infty }} .[citation needed] The definition...

or Moore–Smith sequence is a function whose domain is a directed set. The codomain of this function is usually some topological space. Nets directly generalize...

In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the lim {\displaystyle \lim } symbol...

designed anew, based on no prior sequence. Both de novo designs and protein redesigns can establish rules on the sequence space: the specific amino acids that...

The Xeelee Sequence (/ˈziːliː/; ZEE-lee) is a series of hard science fiction novels, novellas, and short stories written by British science fiction author...

normed space of all sequences with only finitely many nonzero entries. These spaces all play a role in the definition of the Lorentz sequence spaces d (...

if every infinite sequence of points sampled from the space has an infinite subsequence that converges to some point of the space. The Bolzano–Weierstrass...

spaces and Banach spaces. In functional analysis, the set of all functions from the natural numbers to some set X is called a sequence space. It consists of...

Halton sequences are sequences used to generate points in space for numerical methods such as Monte Carlo simulations. Although these sequences are deterministic...

(OV-104) 16 April 2007: Consolidated Launch Manifest: Space Shuttle Flights and ISS Assembly Sequence Space Shuttle Atlantis: Last Flight – slideshow by Life...

colored. In spatial-sequence, or number form synesthesia, numbers, months of the year, or days of the week elicit precise locations in space (e.g., 1980 may...

number arithmetic" for the purposes of manipulating and comparing these sequence numbers. In short, when the absolute serial number value decreases by more...

Quadratic space Quotient space (disambiguation) Riemann's Moduli space Sample space Sequence space Sierpiński space Sobolev space Standard space State space Stone...

a sequence that characterize the sequence. In Sequence analysis in social sciences, representative sequences are used to summarize sets of sequences describing...