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- :Let <math>k,\ell</math> be positive integers. Then there exists an integer <math>R(k,\ell)</math> satisfying: :Let <math>r, k_1,k_2,\ldots,k_r</math> be positive integers. Then there exists an integer <math>R(r;k_1,k_2,\ldots,k_r)</math> satisfyi ...16 KB (2,818 words) - 07:52, 21 May 2014
- :Let <math>k,\ell</math> be positive integers. Then there exists an integer <math>R(k,\ell)</math> satisfying: :Let <math>r, k_1,k_2,\ldots,k_r</math> be positive integers. Then there exists an integer <math>R(r;k_1,k_2,\ldots,k_r)</math> satisfyi ...16 KB (2,818 words) - 11:51, 5 June 2013
- [[Category:Integers]] ...3 KB (374 words) - 20:08, 29 November 2016
- [[Category:Integers]] ...3 KB (415 words) - 09:55, 5 February 2017
- :Let <math>k,\ell</math> be positive integers. Then there exists an integer <math>R(k,\ell)</math> satisfying: :Let <math>r, k_1,k_2,\ldots,k_r</math> be positive integers. Then there exists an integer <math>R(r;k_1,k_2,\ldots,k_r)</math> satisfyi ...23 KB (4,275 words) - 12:28, 1 December 2010
- ...integer <math>n</math>, let <math>\phi(n)</math> be the number of positive integers from <math>\{1,2,\ldots,n\}</math> that are relative prime to <math>n</math Let <math>U=\{1,2,\ldots,n\}</math> be the universe. The number of positive integers from <math>U</math> which is divisible by some <math>p_{i_1},p_{i_2},\ldots ...19 KB (3,458 words) - 06:18, 20 March 2013
- ...integer <math>n</math>, let <math>\phi(n)</math> be the number of positive integers from <math>\{1,2,\ldots,n\}</math> that are relative prime to <math>n</math Let <math>U=\{1,2,\ldots,n\}</math> be the universe. The number of positive integers from <math>U</math> which is divisible by some <math>p_{i_1},p_{i_2},\ldots ...19 KB (3,458 words) - 06:51, 12 October 2015
- ...integer <math>n</math>, let <math>\phi(n)</math> be the number of positive integers from <math>\{1,2,\ldots,n\}</math> that are relative prime to <math>n</math Let <math>U=\{1,2,\ldots,n\}</math> be the universe. The number of positive integers from <math>U</math> which is divisible by some <math>p_{i_1},p_{i_2},\ldots ...19 KB (3,458 words) - 07:33, 12 March 2014
- 4 KB (575 words) - 12:40, 8 July 2017
- 4 KB (740 words) - 01:36, 21 August 2017
- for non-negative integers ''n'' and ''k'' where ''n'' ≥ ''k'' and with the initial condition ...5 KB (707 words) - 07:38, 14 December 2015
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 11:03, 6 March 2013
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 05:21, 16 September 2019
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 13:22, 16 February 2023
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 06:09, 31 August 2015
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 10:39, 27 February 2024
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,924 words) - 04:31, 17 February 2014
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,926 words) - 13:07, 1 September 2011
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,926 words) - 07:43, 1 August 2017
- ...olor="red">''ordered''</font> sum of <font color="red">''positive''</font> integers. A '''<math>k</math>-composition''' of <math>n</math> is a composition of < ...umber of solutions to <math>x_1+x_2+\cdots+x_k=n</math> in ''nonnegative'' integers. We call such a solution a '''weak <math>k</math>-composition''' of <math>n ...39 KB (6,926 words) - 09:09, 30 December 2016