200.135.37.126: /* Examples */

2014-12-01T14:38:16Z

Examples

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en>Mr. Granger: Repairing links to disambiguation pages - You can help!

2014-02-18T17:11:49Z

Repairing links to disambiguation pages - You can help!

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75.150.66.249: /* Examples */ add link to the error function

2013-04-08T16:37:10Z

Examples: add link to the error function

← Older revision		Revision as of 18:37, 8 April 2013
Line 1:		Line 1:
	~~Hi there~~, ~~I am Alyson Boon even though it~~ is ~~not~~ the ~~title on my birth certificate~~. He is ~~an info officer~~. ~~For a whilst I've been~~ in ~~Mississippi but now I~~'~~m considering other options. To play lacross is some thing he~~ would ~~by no means give up~~.<br><br>~~my weblog~~: ~~phone psychic~~ ([~~http:~~/~~/cpacs~~.~~org/index~~.~~php?document_srl~~=~~90091&mid~~=~~board_zTGg26 cpacs~~.~~org~~])		In [[mathematics]], the '''Mian–Chowla sequence''' is an [[integer sequence]] defined
			[[recursion\|recursively]] in the following way. The sequence starts with

			:<math>a_1 = 1.</math>

			Then for <math> n>1</math>, <math>a_n</math> is the smallest integer such that the pairwise sum

			:<math>a_i + a_j</math>

			is distinct, for all <math>i</math> and <math>j</math> less than or equal to <math>n</math>.

			Initially, with <math>a_1</math>, there is only one pairwise sum, 1 + 1 = 2. The next term in the sequence, <math>a_2</math>, is 2 since the pairwise sums then are 2, 3 and 4, i.e., they are distinct. Then, <math>a_3</math> can't be 3 because there would be the non-distinct pairwise sums 1 + 3 = 2 + 2 = 4. We find then that <math>a_3 = 4</math>, with the pairwise sums being 2, 3, 4, 5, 6 and 8. The sequence thus begins
			:[[1 (number)\|1]], [[2 (number)\|2]], [[4 (number)\|4]], [[8 (number)\|8]], [[13 (number)\|13]], [[21 (number)\|21]], [[31 (number)\|31]], [[45 (number)\|45]], [[66 (number)\|66]], [[81 (number)\|81]], [[97 (number)\|97]], [[123 (number)\|123]], [[148 (number)\|148]], [[182 (number)\|182]], [[204 (number)\|204]], 252, [[290 (number)\|290]], 361, 401, 475, ... {{OEIS\|id=A005282}}.

			If we define <math>a_1 = 0</math>, the resulting sequence is the same except each term is one less (that is, 0, 1, 3, 7, 12, 20, 30, 44, 65, 80, 96, ... {{OEIS2C\|id=A025582}}).

			The sequence was invented by Abdul Majid Mian and [[Sarvadaman Chowla]].

			==References==
			* S. R. Finch, ''Mathematical Constants'', Cambridge (2003): Section 2.20.2
			* R. K. Guy ''Unsolved Problems in Number Theory'', New York: Springer (2003)

			{{DEFAULTSORT:Mian-Chowla sequence}}
			[[Category:Integer sequences]]


			{{numtheory-stub}}

2620:0:1000:1301:D267:E5FF:FEE9:8FB2: the standard target of this transform is uniform, not normal

2012-06-06T14:30:53Z

the standard target of this transform is uniform, not normal

New page

Hi there, I am Alyson Boon even though it is not the title on my birth certificate. He is an info officer. For a whilst I've been in Mississippi but now I'm considering other options. To play lacross is some thing he would by no means give up.<br><br>my weblog: phone psychic ([http://cpacs.org/index.php?document_srl=90091&mid=board_zTGg26 cpacs.org])

Probability integral transform - Revision history

200.135.37.126: /* Examples */

en>Mr. Granger: Repairing links to disambiguation pages - You can help!

75.150.66.249: /* Examples */ add link to the error function

2620:0:1000:1301:D267:E5FF:FEE9:8FB2: the standard target of this transform is uniform, not normal