In intuitionistic mathematics, a choice sequence is a constructive formulation of a sequence. Since the Intuitionistic school of mathematics, as formulated by L. E. J. Brouwer, rejects the idea of a completed infinity, in order to use a sequence (which is, in classical mathematics, an infinite object), we must have a formulation of a finite, constructible object that can serve the same purpose as a sequence. Thus, Brouwer formulated the choice sequence, which is given as a construction, rather than an abstract, infinite object.[1]
In intuitionistic mathematics, a choicesequence is a constructive formulation of a sequence. Since the Intuitionistic school of mathematics, as formulated...
In mathematics, a Cauchy sequence is a sequence whose elements become arbitrarily close to each other as the sequence progresses. More precisely, given...
used to prove properties about all choicesequences in a spread (a special kind of set). Given a choicesequence x 0 , x 1 , x 2 , x 3 , … {\displaystyle...
In bioinformatics, a sequence alignment is a way of arranging the sequences of DNA, RNA, or protein to identify regions of similarity that may be a consequence...
some sequence of choices leading to an accepting state after completely consuming the input, it is accepted. Otherwise, i.e. if no choicesequence at all...
choice function (i.e. a function which maps each of the nonempty sets to one of its elements). König's theorem: Colloquially, the sum of a sequence of...
limit of some sequence of elements of S ∖ { x } {\displaystyle S\setminus \{x\}} , one needs (a weak form of) the axiom of countable choice. When formulated...
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...
{\displaystyle n} terms of such a sequence. The axiom of dependent choice says that we can form a whole (countably infinite) sequence this way. The axiom D C {\displaystyle...
GATK are used to identify differences compared to the reference sequence. The choice of variant calling tool depends heavily on the sequencing technology...
intuitionistic logic With Georg Kreisel, he was a developer of the theory of choicesequences. He wrote one of the first texts on linear logic, and, with Helmut...
reals in the r sequence are exhausted. The final v sequence will enumerate the Vitali set. The above argument uses the axiom of choice in an essential...
In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that...
constructive logic like constructive analysis but also incorporates choicesequences. Paraconsistent analysis, which is built upon a foundation of paraconsistent...
In biology, a sequence motif is a nucleotide or amino-acid sequence pattern that is widespread and usually assumed to be related to biological function...
Sobol’ sequences (also called LPτ sequences or (t, s) sequences in base 2) are an example of quasi-random low-discrepancy sequences. They were first introduced...
In combinatorial mathematics, a de Bruijn sequence of order n on a size-k alphabet A is a cyclic sequence in which every possible length-n string on A...
in the sequence presented. Kenneth J. Arrow's Social Choice and Individual Values (1951) influenced formulation of the theory of public choice and election...
axiom of choice is true, this transfinite sequence includes every cardinal number. If the axiom of choice is not true (see Axiom of choice § Independence)...
a primefree sequence is a sequence of integers that does not contain any prime numbers. More specifically, it usually means a sequence defined by the...
advanced airway management, rapid sequence induction (RSI) – also referred to as rapid sequence intubation or as rapid sequence induction and intubation (RSII)...
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