Sequence/Related Articles

See also changes related to Sequence, or pages that link to Sequence or to this page or whose text contains "Sequence".

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• Augustin-Louis Cauchy [r]: (1789 – 1857) prominent French mathematician, one of the pioneers of rigor in mathematics and complex analysis. ^[e]
• Cantor's diagonal argument [r]: Proof due to Georg Cantor showing that there are uncountably many sets of natural numbers. ^[e]
• Cauchy sequence [r]: Sequence in which the distance between two elements becomes smaller and smaller. ^[e]
• Fibonacci number [r]: Element of the sequence in which the first number is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers. ^[e]
• Generating function [r]: Function g(x,y) corresponding to a family of orthogonal polynomials ƒ0(x), ƒ1(x),…, where a Taylor series expansion of g(x,y) in powers of y will have the polynomial ƒn (x) as the coefficient for the term yn. ^[e]
• Gram-Schmidt orthogonalization [r]: Sequential procedure or algorithm for constructing a set of mutually orthogonal vectors from a given set of linearly independent vectors. ^[e]
• Holomorphic function [r]: Function $f$ from $A\subseteq \mathbb {C}$ to $B\subseteq \mathbb {C}$ is called holomorphic in domain $A$ if for every open domain $E\subseteq A$ there exist derivative $f'(z)~\forall ~z\in E$. ^[e]
• Limit of a sequence [r]: A sequence which converges to (or approaches) the limit a as n tends to infinity. ^[e]
• Linear independence [r]: The property of a system of elements of a module or vector space, that no non-trivial linear combination is zero. ^[e]
• Monotonic function [r]: A function on an ordered set which preserves the order. ^[e]
• Multiplication [r]: The binary mathematical operation of scaling one number or quantity by another (multiplying). ^[e]
• Net (topology) [r]: Function on a directed set into a topological space which generalises the notion of sequence. ^[e]
• Prokaryote phylogeny and evolution [r]: History of the origins of prokaryotes and the evolutionary processes that have affected bacteria. ^[e]
• Real number [r]: A limit of the Cauchy sequence of rational numbers. ^[e]
• Recurrence relation [r]: A relation between an entry in a sequence of numbers or other mathematical objects and preceding entries in the sequence. ^[e]
• Series (mathematics) [r]: A sequence of numbers defined by the partial sums of another infinite sequence. ^[e]
• Set (mathematics) [r]: Informally, any collection of distinct elements. ^[e]
• Stochastic convergence [r]: A mathematical concept intended to formalize the idea that a sequence of essentially random or unpredictable events sometimes is expected to settle into a pattern. ^[e]