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- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 05:36, 19 March 2014
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 04:27, 27 March 2024
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 04:35, 17 October 2016
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 07:16, 8 October 2011
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 10:46, 17 April 2013
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 03:56, 27 October 2015
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 14:25, 29 March 2023
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 14:54, 28 September 2017
- The permutation can be equivalently described as a composition of a number of '''cycles'''. For example, in the above permutation, we have two cycles: ...<math>G</math> be a permutation group acting on a set <math>X</math>. The number of orbits, denoted <math>|X/G|</math>, is ...19 KB (3,695 words) - 06:16, 8 October 2019
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 08:14, 16 October 2019
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 02:36, 31 October 2017
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 13:27, 9 April 2024
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 09:36, 2 April 2014
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 03:49, 24 October 2016
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 09:24, 19 April 2013
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 09:37, 9 November 2015
- We first count the number of boolean functions <math>f:\{0,1\}^n\rightarrow \{0,1\}</math>. There are Then we count the number of boolean circuit with fixed number of gates. ...14 KB (2,455 words) - 12:56, 18 April 2023
- ...the <math>n</math> properties. We write <math>\bar{A_i}=U-A_i</math>. The number of objects without any of the properties <math>A_1,A_2,\ldots,A_n</math> is ...1,A_2,\ldots,A_n</math> be a family of subsets of <math>U</math>. Then the number of elements of <math>U</math> which lie in none of the subsets <math>A_i</m ...19 KB (3,458 words) - 06:18, 20 March 2013
- ...the <math>n</math> properties. We write <math>\bar{A_i}=U-A_i</math>. The number of objects without any of the properties <math>A_1,A_2,\ldots,A_n</math> is ...1,A_2,\ldots,A_n</math> be a family of subsets of <math>U</math>. Then the number of elements of <math>U</math> which lie in none of the subsets <math>A_i</m ...19 KB (3,458 words) - 06:51, 12 October 2015
- ...the <math>n</math> properties. We write <math>\bar{A_i}=U-A_i</math>. The number of objects without any of the properties <math>A_1,A_2,\ldots,A_n</math> is ...1,A_2,\ldots,A_n</math> be a family of subsets of <math>U</math>. Then the number of elements of <math>U</math> which lie in none of the subsets <math>A_i</m ...19 KB (3,458 words) - 07:33, 12 March 2014