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- Solutions can be written in [[interval notation]]. Closed bounds use square brackets, while open bounds (and bounds at inf ...are part of the solution set. This does indeed give the complete solution set.12 KB (1,806 words) - 05:07, 19 June 2024
- ...finding the number of combinations of size <math>r</math> from an original set of size <math>n</math> == Notation ==4 KB (638 words) - 20:55, 5 January 2025
- ...math>1 \leq k \leq n</math>). For example, if <math>n = 4</math>, and our set of numbers is <math>\{a, b, c, d\}</math>, then: ==Notation==2 KB (275 words) - 11:51, 26 July 2023
- Proof. Split the set <math>\{1,2,\ldots,n\}</math> into disjoint sets <math>A_d</math> where for ==Notation==5 KB (903 words) - 14:49, 27 July 2024
- ...t of values to another set of values, assigning to each value in the first set exactly one value in the second. For instance, one function may map 1 to 1 Let <math>A</math>,<math>B</math> be [[set]]s and let <math>f</math> be a [[subset]] of <math>A\times B</math>, which10 KB (1,761 words) - 02:16, 12 May 2023
- ...s (logs, complex numbers, trigonometry, set notation, or summation/product notation) whereas AMC 12 does.6 KB (949 words) - 21:33, 17 November 2024
- ...</math> [[Majorization|majorizes]] a sequence <math>q</math>, then given a set of positive reals <math>x_1,x_2,\cdots,x_n</math>: These notation is useful in the context of Muirhead's inequality. In particular the theore8 KB (1,346 words) - 11:53, 8 October 2023
- ...1, \{2, 3\}, \{1, 2, 3\}\}</math> is 3, and the cardinality of the [[empty set]] is 0. ==Notation==2 KB (263 words) - 23:54, 16 November 2019
- ...e square of any prime. Find <math> \lfloor m+\sqrt{n}\rfloor. </math> (The notation <math> \lfloor x\rfloor </math> denotes the greatest integer that is less t6 KB (1,003 words) - 23:02, 19 May 2024
- ...ath> and <math>1337.</math> In set notation, the positive integers are the set <math>\mathbb{Z^+} = \{1, 2, 3, \ldots, \}.</math>295 bytes (40 words) - 16:02, 17 July 2021
- This is a list of '''symbols and conventions''' in mathematical notation. <math>\mathbb{N}</math>: the [[natural number]]s. Unfortunately, this notation is ambiguous -- some authors use it for the [[positive integer]]s, some for8 KB (1,401 words) - 16:49, 10 January 2025
- Let <math>A</math> and <math>B</math> be any [[set]]s and let <math>f:A\to B</math> be any [[function]] between them, so that ...math> given by <math>f(x) = x^2</math>, the range of <math>f</math> is the set of [[nonnegative]] [[real number]]s.693 bytes (128 words) - 19:15, 3 February 2016
- ...re <math>r!</math> (the [[factorial]] of <math>r</math>) permutations of a set with <math>r</math> distinct objects. ...sider permutations of [[infinite]] sets. In this case, a permutation of a set <math>S</math> is simply a [[bijection]] between <math>S</math> and itself.3 KB (422 words) - 10:01, 25 December 2020
- ...set]] is a subset of every set, and every set is a subset of itself. The notation <math>A \subseteq B</math> emphasizes that <math>A</math> may be equal to < The set of all subsets of a given set <math>S</math> is called the [[power set]] of <math>S</math> and is denoted <math>\mathcal{P}(S)</math> or <math>2^S1 KB (217 words) - 08:32, 13 August 2011
- ...nd calculus, usually <math>A</math> and <math>B</math> are both either the set of [[real number | real]]s <math>\mathbb{R}</math> or [[complex number]]s < ...main]] is a sub-interval of the real numbers and whose [[codomain]] is the set of reals. For a real number <math>L</math>,7 KB (1,327 words) - 17:39, 28 September 2024
- Let set <math> \mathcal{A} </math> be a 90-element subset of <math> \{1,2,3,\ldots, Let <math> \mathcal{S} </math> be the set of real numbers that can be represented as repeating decimals of the form <7 KB (1,173 words) - 02:31, 4 January 2023
- ...e square of any prime. Find <math> \lfloor m+\sqrt{n}\rfloor. </math> (The notation <math> \lfloor x\rfloor </math> denotes the greatest integer that is less t6 KB (980 words) - 20:45, 31 March 2020
- We first simplify all the messy notation in the <math>S_n</math> term. Note that the problem asks us to find the sma First, we set intervals. Say that a number <math>N</math> falls strictly within <math>[2^10 KB (1,702 words) - 21:23, 25 July 2024
- How many non-[[empty set | empty]] [[subset]]s <math>S</math> of <math>\{1,2,3,\ldots ,15\}</math> h ...to choose <math>k</math> elements from an ordered <math>n</math> element [[set]] without choosing two consecutive members?9 KB (1,409 words) - 02:59, 8 December 2024
- ...satisfy. These axioms are chosen to agree with our intuitive concept of a set, on one hand, and to allow various, sometimes quite sophisticated, mathemat ...t are called the [[element]]s of the set. A common misconception is that a set can have multiple indistinct elements, such as the following: <math>\{1,4,511 KB (2,019 words) - 16:20, 7 July 2024