Search results
Create the page "Ordered set" on this wiki! See also the search results found.
- A set of teams held a round-robin tournament in which every team played every oth There are exactly <math>77,000</math> ordered quadruplets <math>(a, b, c, d)</math> such that <math>\gcd(a, b, c, d) = 7714 KB (2,037 words) - 19:09, 29 July 2023
- ...complement, we wish to count the number of colorings in which at least one set of adjacent sections are the same color. There are six possible sets of adj ...>, given the bug's starting number <math>k</math>, is simply the number of ordered quintuplets of positive integers <math>(a_1, a_2, a_3, a_4, a_5)</math> tha20 KB (3,327 words) - 16:16, 7 June 2024
- ...ns are identical) and where a group of students is treated as an unordered set of people. Compute the remainder obtained when <math>N</math> is divided by For each positive integer <math>n</math> let <math>S_n</math> denote the set of positive integers <math>k</math> such that <math>n^k-1</math> is divisib31 KB (4,811 words) - 00:02, 4 November 2023
- ...ctly 8 angles from the set <math>\{z^2,z^6\}</math> and exactly 4 from the set <math>\{z^1,z^3,z^5,z^7\}</math>. If we found a good combination where we h ...h>2a + 6b</math> is even for all <math>a + b =8, </math> and the number of ordered quadruples <math>(a_1, a_2, a_3, a_4)</math> such that <math>a_i \in \{1, 318 KB (2,878 words) - 01:47, 16 December 2023
- Let <math>S</math> be the set of points <math>(x,y)</math> in the coordinate plane such that two of the t How many ordered pairs <math>(a,b)</math> such that <math>a</math> is a positive real number15 KB (2,418 words) - 16:58, 7 November 2022
- ...ance in miles to the nearest town. Which of the following intervals is the set of all possible values of <math>d</math>? How many ordered pairs of real numbers <math>(x,y)</math> satisfy the following system of eq14 KB (2,171 words) - 21:10, 4 November 2023
- ...sor of <math>x</math> and <math>y</math> is <math>1</math>. Given a finite set <math>S</math> of primitive points, prove that there exist a positive integ582 bytes (105 words) - 03:09, 19 November 2023
- ...ance in miles to the nearest town. Which of the following intervals is the set of all possible values of <math>d</math>? ...math> such that <math>m+10<n+1</math>, both the mean and the median of the set <math>\{m, m+4, m+10, n+1, n+2, 2n\}</math> are equal to <math>n</math>. Wh15 KB (2,380 words) - 18:52, 7 April 2022
- In the print statement, we set <math>x</math> as 2, and the function returns <math>2 + 1 = 3,</math> so th ...tion() is said to be '''called''' in the final line of the code. Again, we set <math>x</math>, our parameter, as "print_function."33 KB (5,277 words) - 22:14, 3 June 2023
- Let <math>\mathbb{R}</math> be the set of real numbers , determine all functions ...sor of <math>x</math> and <math>y</math> is <math>1</math>. Given a finite set <math>S</math> of primitive points, prove that there exist a positive integ4 KB (720 words) - 12:12, 5 August 2021
- Find the number of ordered pairs <math>(a, b, c, d)</math> that satisfy these conditions. A tripod has three legs of length 3 feet, 4 feet, and 4 feet. It is set up so that the angle between any two legs is <math>90^{\circ}</math>. The h12 KB (1,917 words) - 12:14, 29 November 2021
- How many ordered pairs of integers <math>(x,y)</math> satisfy the equation <cmath>x^{2020} + ...h its interior. For real <math>r\geq0</math>, let <math>S(r)</math> be the set of points in <math>3</math>-dimensional space that lie within a distance <m16 KB (2,496 words) - 20:09, 19 May 2024
- ...from <math>1^2</math> to <math>36^2</math>, and how many ways they can be ordered ...nce of <math>4</math> numbers whose product is a perfect square. To form a set, we can simply select zero to two groups of size <math>2</math> or <math>3<19 KB (2,941 words) - 16:16, 7 June 2024
- A '''system of equations''' is a set of [[equation]]s which share the same [[variable]]s. An example of a syste Find the ordered pair <math>(x,y)</math> for which35 KB (5,882 words) - 18:08, 28 June 2021
- ...th>f(x)=x^2+ax+b</math> and <math>g(x)=x^2+cx+d.</math> Find the number of ordered triples <math>(a,b,c)</math> of integers with absolute values not exceeding ...> can be anything. However, <math>c</math> can also be anything, as we can set the root of <math>g</math> (not equal to <math>f(2) = f(4)</math>) to any i6 KB (964 words) - 22:33, 18 January 2024
- For a particular positive integer <math>n</math>, the number of ordered sextuples of positive integers <math>(a, b, c, d, e, f)</math> that satisfy ...nd stops as soon as it touches the ground again. What is the volume of the set of points swept out by the larger log as it rolls over the smaller one?13 KB (2,059 words) - 02:59, 21 January 2021
- ...<math>(0,0),(0,a),(a,0),(a,a)</math>. It seems as if the solution to the set involves only <math>0</math> and <math>a</math>. To prove this, we need to ...i+1})^2 = (n+1)a^2</math>. The inductive step holds, so solutions are all ordered pairs <math>(x_1, x_2, \cdots x_n)</math> where <math>x_i = 0</math> or <ma3 KB (629 words) - 00:26, 18 December 2019
- ...ed quadruple of not necessarily distinct integers, each one of them in the set <math>\{0,1,2,3\}.</math> For how many such quadruples is it true that <mat ...actly one term to be odd, one term to be even. Because of symmetry, we can set <math>ad</math> to be odd and <math>bc</math> to be even, then multiply by6 KB (1,044 words) - 13:50, 4 April 2024
- ...e properties that factors are greater than <math>1</math>, and differently ordered products are counted separately. ...ly totaling the number of ways there are to insert a <math>3</math> into a set of numbers that multiply to <math>32</math>.16 KB (2,562 words) - 17:41, 25 May 2024
- How many ordered pairs of integers <math>(x, y)</math> satisfy the equation <cmath>x^{2020}+ ...<math>(0,2)</math> gives a total of <math>\boxed{\textbf{(D) }4}</math> ordered pairs.8 KB (1,221 words) - 16:29, 5 February 2024
