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An infinite sequence of real numbers (in blue). This sequence is neither increasing, decreasing, convergent, nor Cauchy. It is, however, bounded. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms).
Sequence is an abstract strategy tabletop party game. Sequence was invented by Douglas Reuter. They originally called the game Sequence Five. He spent years developing the concept, and, in June 1981, granted Jax Ltd. an exclusive license to manufacture, distribute and sell the board game Sequence and its subsequent variations
Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first n natural numbers (for a sequence of finite length n). The position of an element in a sequence is its rank or index; it is the natural number for which the element is the image. The first ...
Sequence (geology), a succession of geological events; Archaeological sequence; Sequence diagram, used to visualise the design of a computing system; Sequence of events, a time-related notion in physics and metaphysics; Sequences, mathematics book by Heini Halberstam and Klaus Roth; List (abstract data type) A rarely used programming language
A sequence is a function on the natural numbers, so every sequence ,, … in a topological space can be considered a net in defined on . Conversely, any net whose domain is the natural numbers is a sequence because by definition, a sequence in X {\displaystyle X} is just a function from N = { 1 , 2 , … } {\displaystyle \mathbb {N} =\{1,2 ...
A series is convergent (or converges) if and only if the sequence (,,, … ) {\displaystyle (S_{1},S_{2},S_{3},\dots )} of its partial sums tends to a limit ; that means that, when adding one a k {\displaystyle a_{k}} after the other in the order given by the indices , one gets partial sums that become closer and closer to a given number.
SmartAsset ranked 100 of the largest U.S. cities based on 10 health factors, including self-reported physical and mental well-being, obesity, smoking, drinking, air pollution, sleep quality, and more.
Isaac Newton's color sequence (red, orange, yellow, green, blue, indigo, violet) is kept alive today by several popular mnemonics. One is simply the nonsense word roygbiv, which is an acronym for the seven colors. [5] This word can also be envisioned as a person's name, "Roy G. Biv". [6]