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- In mathematics, a '''finite set''' simply is [[set]] which has finitely many elements,1 KB (222 words) - 16:36, 4 January 2013
- 97 bytes (12 words) - 18:46, 6 July 2009
- 172 bytes (23 words) - 18:48, 6 July 2009
Page text matches
- [[finite set|'''finite''' sets]] have finitely many elements, i.e., 0 or 1 or 2 or 3 ...1 KB (191 words) - 17:30, 15 July 2009
- ...[[set (mathematics)|set]] in the the [[open set]]s are those which have [[finite set|finite]] [[complement (set theory)|complement]], together with the empty se1,007 bytes (137 words) - 22:52, 17 February 2009
- In mathematics, a '''finite set''' simply is [[set]] which has finitely many elements,1 KB (222 words) - 16:36, 4 January 2013
- #REDIRECT [[finite set]]24 bytes (3 words) - 19:01, 6 July 2009
- The number of its elements is larger than any natural number. (See: [[Finite set]].)121 bytes (17 words) - 19:09, 6 July 2009
- {{r|finite set}}91 bytes (11 words) - 18:29, 26 June 2009
- {{r|Cardinality|Order of a finite set or algebraic structure}}248 bytes (33 words) - 17:37, 14 April 2010
- {{r|finite set}}149 bytes (18 words) - 18:35, 15 July 2009
- * A discrete space is [[compact space|compact]] if and only if it is [[finite set|finite]].872 bytes (125 words) - 15:57, 4 January 2013
- {{r|Finite set}}515 bytes (67 words) - 16:45, 11 January 2010
- Two [[finite set]]s have the same number of elements if and only if there exists a bijection4 KB (618 words) - 22:24, 7 February 2010
- ...By [[iteration]] we may define the maximum and minimum of any (non-empty) finite set. ...the set); similarly an infimum need not be a minimum. As noted above, any finite set has a maximum and minimum which are thus its supremum and infimum.3 KB (538 words) - 18:17, 17 January 2010
- ...mposition as the group operation. For example, let <math>A</math> denote a finite set of <math>n</math> distinct objects, and let <math>S_A</math> denote the set2 KB (244 words) - 20:34, 1 July 2009
- The number of partitions of a finite set of size ''n'' into ''k'' parts is given by a [[Stirling number]] of the sec2 KB (336 words) - 07:17, 16 January 2009
- ...''' is a property of [[set]]s that generalises the notion of the size of a finite set. Because of this, it is often thought of as the “size” of a (possibly [11 KB (1,808 words) - 17:50, 26 June 2009
- .... The kernel of φ is a proper subvariety of ''E''<sub>1</sub> and hence a finite set of order ''d'', the ''degree'' of φ. Conversely, every finite subgroup of4 KB (647 words) - 15:51, 7 February 2009
- A [[finite set|finite]] [[abelian group|abelian]] [[p-group|''p''-group]] ''M'' is a direc2 KB (264 words) - 22:53, 19 February 2010
- Formally, let ''f''<sub>''i''</sub> be a finite set of ''N'' functions from a set ''X'' to itself. We may regard this as defin2 KB (327 words) - 15:52, 27 October 2008
- For instance, given the finite set10 KB (1,462 words) - 17:25, 25 August 2013
- For instance, given the finite set10 KB (1,462 words) - 17:24, 25 August 2013
- ...For the ring of rational integers '''Z''' one may also take ''S'' to be a finite set of prime numbers and define an ''S''-unit to be an integer divisible only b3 KB (381 words) - 16:02, 28 October 2008
- ...gonality is not assured. However, it is always possible to orthogonalize a finite set of linearly independent set of vectors, i.e., to form linear superpositions8 KB (1,273 words) - 11:29, 9 July 2009
- ...t of [[real number]]s with the [[counting measure]], which assigns to each finite set of reals the number of points in the set. This measure space is not ''σ''14 KB (2,350 words) - 17:37, 10 November 2007
- ...either an upper or a lower bound. A ''directed set'' is one in which any finite set has an upper bound.11 KB (1,918 words) - 18:23, 17 January 2010
- ...The machine is always in one 'state' which is an element in a predefined, finite set of states. The head is also always in a single location on the tape (i.e.3 KB (492 words) - 09:10, 22 May 2011
- For a finite set of data4 KB (694 words) - 17:28, 25 August 2013
- For a finite set of data4 KB (694 words) - 17:27, 25 August 2013
- On a finite set ''S'' of ''n'' elements, consider a function σ that defines for each2 KB (361 words) - 21:13, 6 January 2011
- .... A related property is that rational numbers are the only numbers with [[finite set|finite]] expansions as [[continued fraction|regular continued fractions]].9 KB (1,446 words) - 08:52, 30 May 2009
- If ''S'' is a [[finite set]] of numbers, then all its elements can be added together using sigma notat1 KB (163 words) - 02:33, 30 October 2008
- ...number of elements are called infinite sets. The number of elements that a finite set contains is called that set's [[cardinality]]. The concept of cardinality c17 KB (2,828 words) - 10:37, 24 July 2011
- ...ents in <math>A.</math> This case is called the uniform distribution (on a finite set <math>\Omega</math>), or a symmetric probability space. The uniform distrib18 KB (2,797 words) - 14:37, 30 January 2011
- Any permutation of a finite set can be written as a product of permutations called ''cycles''. A cycle <mat8 KB (1,392 words) - 20:52, 25 June 2009
- ...finite'' if it has finitely many elements, that is if the set ''G'' is a [[finite set]].19 KB (3,074 words) - 11:11, 13 February 2009
- ...ive grammar is formally defined as one that is fully ''explicit''. It is a finite set of rules that can be applied to ''generate'' exactly those sentences (often5 KB (688 words) - 08:14, 18 October 2013
- ...t this in fact holds for any set (Cantor's Theorem). This is obvious for a finite set, but Cantor's ingenious proof made no reference to the set being finite; th22 KB (3,815 words) - 15:46, 23 September 2013
- ...there is always another prime number which is not in that set. Choose any finite set of prime numbers <math>\scriptstyle \{ p_1, p_2, p_3, \ldots, p_n \}</math> ...t. Since any finite set of prime numbers can thus be extended to a larger finite set of prime numbers, we conclude that there are infinitely many prime numbers.14 KB (2,281 words) - 12:20, 13 September 2013
- # In mathematics, the number of elements in a finite set. See [[Exponent|exponent]].2 KB (391 words) - 17:13, 14 March 2021
- ...t this in fact holds for any set (Cantor's Theorem). This is obvious for a finite set, but Cantor's ingenious proof made no reference to the set being finite; th24 KB (4,193 words) - 15:48, 23 September 2013
- ...hed between about 1955 and 1983, which is thought to classify all of the [[finite set|finite]] [[simple group]]s into roughly 30 basic types.18 KB (2,669 words) - 08:38, 17 April 2024
- ..., there is always another prime number that is not in that set. Choose any finite set of prime numbers <math>\scriptstyle \{ p_1, p_2, p_3, \ldots, p_n \}</math> ...t. Since any finite set of prime numbers can thus be extended to a larger finite set of prime numbers, we conclude that there are infinitely many prime numbers.18 KB (2,917 words) - 10:27, 30 August 2014
- ...language to be an infinite collection of sentences that is generated by a finite set of rules from finite [[lexicon|lexical]] items. Crucially, these sentences8 KB (1,251 words) - 14:16, 18 February 2024
- ...'', where ''X'' is the finite set of all possible inputs, and ''Y'' is the finite set of all possible outputs. Existence of this function ''f'' is called "counte ...ts are provided. The input ''x''<sub>A</sub> is an element of a prescribed finite set ''X''<sub>A</sub> (not necessarily a number); the same holds for ''y''<sub>24 KB (3,745 words) - 02:21, 26 October 2013
- ...to the way in which an infinite number of curves can be drawn through any finite set of data points on a graph. This thesis was accepted by [[Karl Popper]], lea31 KB (4,648 words) - 05:07, 26 October 2013