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Floyd's triangle is a triangular array of natural numbers used in computer science education. It is named after Robert Floyd . It is defined by filling the rows of the triangle with consecutive numbers, starting with a 1 in the top left corner:
Equivalently, a fully connected network of n computing devices requires the presence of T n − 1 cables or other connections. In a tournament format that uses a round-robin group stage, the number of matches that need to be played between n teams is equal to the triangular number T n − 1. For example, a group stage with 4 teams requires 6 ...
The first ordinal number that is not a natural number is expressed as ω; this is also the ordinal number of the set of natural numbers itself. The least ordinal of cardinality ℵ 0 (that is, the initial ordinal of ℵ 0 ) is ω but many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω .
Some graphing calculators, such as the Casio 9860 series, HP-49/50 series and HP Prime, TI-84 Plus, TI-89, and TI-Nspire, the TI-83 Plus with the PrettyPt [1] add-on, or the TI-84 Plus with the same add-on or the "MathPrint"-enabled OSes, can perform pretty-printing. Additionally, a number of newer scientific calculators are equipped with dot ...
This is a list of all articles about natural numbers from 1 to 10,000. Red links are included to make it clearly visible which articles exist and which do not. Existing articles can either be articles with content, or redirects .
The n-th harmonic number, which is the sum of the reciprocals of the first n positive integers, is never an integer except for the case n = 1. Moreover, József Kürschák proved in 1918 that the sum of the reciprocals of consecutive natural numbers (whether starting from 1 or not) is never an integer.
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A computable number [is] one for which there is a Turing machine which, given n on its initial tape, terminates with the nth digit of that number [encoded on its tape]. The key notions in the definition are (1) that some n is specified at the start, (2) for any n the computation only takes a finite number of steps, after which the machine ...