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A list of Citizendium articles, and planned articles, about Sequence.
See also pages that link to Sequence or to this page.

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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]: Sum of infinitely many numbers, whose relationship can typically be expressed as a formula or a function. [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]
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