Create the page "Ordered set" on this wiki! See also the search results found.

• Resources for mathematics competitions
  ...competitions. However, they are generally difficult to find. Some can be ordered [http://www.arml2.com/arml_2018/page/index.php?page_type=public&page=books ...l0aW9uYWwgUHJvYmFiaWxpdHkgUHJvYmxlbSBTZXQ= Conditional Probability Problem Set]
  24 KB (3,269 words) - 00:43, 24 April 2024
• Principle of Inclusion-Exclusion
  ...element]]s in the [[union]] of a given group of [[set]]s, the size of each set, and the size of all possible [[intersection]]s among the sets. === Two Set Example ===
  9 KB (1,703 words) - 07:25, 24 March 2024
• Rearrangement Inequality
  ...d <math>B=\{b_1,b_2,\cdots,b_n\}</math> is a permutation of another finite set of real numbers, the quantity <math>a_1b_1+a_2b_2+\cdots+a_nb_n</math> is m Now for the general case. Again, without loss of generality, set <math>a_1 \leq a_2 \leq \cdots \leq a_n</math> and <math>b_1 \leq b_2 \leq
  5 KB (804 words) - 13:54, 26 January 2023
• Real number
  The set of real numbers, denoted by <math>\mathbb{R}</math>, is a subset of [[compl ==The set <math>\mathbb{R}~</math>==
  3 KB (496 words) - 23:22, 5 January 2022
• Constructive counting
  ...total possibilities of each step and assembles these to enumerate the full set. ...this problem, there are sometimes multiple independent ways to construct a set. In others, however, an alternative method is not apparent, as with the nex
  12 KB (1,896 words) - 23:55, 27 December 2023
• Function
  ...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>, which
  10 KB (1,761 words) - 03:16, 12 May 2023
• Partition of an interval
  A '''partition''' <math>\mathcal{P}</math> is defined as the ordered <math>n</math>-[[tuple]] of real numbers <math>\mathcal{P}=(x_0,x_1,\ldots, ...agged partition''' <math>\mathcal{\dot{P}}</math> is defined as the set of ordered pairs <math>\mathcal{\dot{P}}=\{([x_{i-1},x_i],t_i)\}_{i=1}^n</math>.
  1 KB (178 words) - 20:34, 6 March 2022
• Mathematical Kangaroo
  Past sets may be ordered from the US Math Kangaroo website. The Canadian and International (primari ...o does not have precalculus concepts (logs, complex numbers, trigonometry, set notation, or summation/product notation) whereas AMC 12 does.
  6 KB (936 words) - 15:38, 22 February 2024
• Cardinality
  ...1, \{2, 3\}, \{1, 2, 3\}\}</math> is 3, and the cardinality of the [[empty set]] is 0. The cardinality of a set <math>A</math> is denoted by <math>|A|</math>. In the above example, the c
  2 KB (263 words) - 00:54, 17 November 2019
• Polygon
  In their most general form, polygons are an ordered [[set]] of [[vertex|vertices]], <math>\{A_1, A_2, \ldots, A_n\}</math>, <math>n \
  2 KB (372 words) - 19:04, 30 May 2015
• Vector
  ...thin angle brackets or parentheses, <math>(x\,\,y\,\,z\,\,...)</math>. The set of vectors over a [[field]] is called a [[vector space]].
  7 KB (1,265 words) - 13:22, 14 July 2021
• 2005 USAMO Problems/Problem 4
  ...<math>n</math>, where <math>n</math> is a positive integer. For how many ordered 4-tuples <math>(k_1, k_2, k_3, k_4)</math> of nonnegative integers can we ...math>C_i</math>, subtract <math>1</math> from each of the cuts to obtain a set of cuts that is counted in <math>C_{i-1}</math>. For example, if <math>\{2
  7 KB (1,276 words) - 20:51, 6 January 2024
• Well-Ordering theorem
  ...red set is a [[totally ordered set]] <math>(S,\prec)</math> for which each set <math>A\subseteq S</math> has a [[minimum]] element. [[Category:Set theory]]
  381 bytes (59 words) - 12:40, 2 June 2019
• Permutation
  ...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) - 11:01, 25 December 2020
• 2006 AIME I Problems
  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) - 03:31, 4 January 2023
• 2005 AMC 12A Problems
  How many ordered triples of [[integer]]s <math>(a,b,c)</math>, with <math>a \ge 2</math>, <m ...nct numbers <math>a</math> and <math>b</math> are chosen randomly from the set <math>\{ 2, 2^2, 2^3, \ldots, 2^{25} \}</math>. What is the probability tha
  13 KB (1,971 words) - 13:03, 19 February 2020
• 2004 AMC 12A Problems
  For how many ordered pairs of positive integers <math>(x,y)</math> is <math>x+2y=100</math>? Let <math>S</math> be the set of points <math>(a,b)</math> in the coordinate plane, where each of <math>a
  13 KB (1,953 words) - 00:31, 26 January 2023
• 2002 AMC 12A Problems
  ...th>\{1, 2, 3, 4, 5\}</math>, and Sergio randomly selects a number from the set <math>\{1, 2, \ldots, 10\}</math>. What is the probability that Sergio's nu ...nine nonzero digits exactly once. What is the smallest possible sum such a set of primes could have?
  12 KB (1,792 words) - 13:06, 19 February 2020
• 2005 AMC 12B Problems
  ...<math>a,b,c,d,e,f,g</math> and <math>h</math> be distinct elements in the set Let <math>S</math> be the set of ordered triples <math>(x,y,z)</math> of real numbers for which
  12 KB (1,781 words) - 12:38, 14 July 2022
• 2006 AMC 12A Problems/Problem 25
  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?
  8 KB (1,405 words) - 11:52, 27 September 2022

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)