SWR meter - Revision history

79.41.125.22 at 10:54, 15 November 2014

2014-11-15T10:54:27Z

← Older revision		Revision as of 12:54, 15 November 2014
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	~~A '''van der Corput sequence'''~~ is a [~~[low-discrepancy sequence]] over the [[unit interval]] first published in 1935 by the [[Netherlands\|Dutch]] mathematician [[Johannes van der Corput\|J~~. G. ~~van der Corput]~~]. It is ~~constructed by reversing the [[base (exponentiation)\|base ''n~~'~~' representation]] of the sequence of [[natural number]]s (1, 2, 3, …)~~. ~~For example, the~~ [~~[decimal]] van der Corput sequence begins~~:		The person who wrote the post is called Jayson Hirano and he completely digs [http://appin.co.kr/board_Zqtv22/688025 tarot card readings] that name. Office supervising is my occupation. What me and my family members adore is doing ballet but I've been taking on new things recently. Some time ago he selected to live in North Carolina [http://www.publicpledge.com/blogs/post/7034 best psychic readings] and he doesn't strategy on changing it.<br><br>Here is my webpage; love psychic ([http://hknews.classicmall.com.hk/groups/some-simple-tips-for-personal-development-progress/ visit this hyperlink])

	~~:0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.01, 0.11, 0.21, 0.31, 0.41, 0.51, 0.61, 0.71, 0.81, 0.91, 0.02, 0.12, 0.22, 0.32, …~~

	~~whereas the [[binary numeral system\|binary]] van der Corput sequence can be written as:~~

	~~:0.1<sub>2<~~/~~sub>, 0.01<sub>2</sub>, 0.11<sub>2<~~/~~sub>, 0~~.~~001<sub>2</sub>, 0~~.~~101<sub>2<~~/~~sub>, 0.011<sub>2<~~/~~sub>, 0.111<sub>2<~~/~~sub>, 0~~.~~0001~~<~~sub~~>2<~~/sub~~>~~, 0.1001<sub>2<~~/~~sub>, 0.0101<sub>2<~~/~~sub>, 0~~.~~1101<sub>2</sub>, 0~~.~~0011<sub>2</sub>, 0~~.~~1011<sub>2</sub>, 0.0111<sub>2<~~/~~sub>, 0.1111<sub>2<~~/~~sub>, …~~

	~~or, equivalently, as:~~

	:<math>\tfrac{1}{2}, \tfrac{1}{4}, \tfrac{3}{4}, \tfrac{1}{8}, \tfrac{5}{8}, \tfrac{3}{8}, \tfrac{7}{8}, \tfrac{1}{16}, \tfrac{9}{16}, \tfrac{5}{16}, \tfrac{13}{16}, \tfrac{3}{16}, \tfrac{11}{16}, \tfrac{7}{16}, \tfrac{15}{16}, \ldots</math>

	The elements of the van der Corput sequence (in any base) form a [[dense set]] in the unit interval: for any real number in [0, 1] there exists a [[subsequence]] of the van der Corput sequence that [[limit of a sequence\|converges]] towards that number. They are also [[equidistributed]] over the unit interval.

	~~==See also==~~
	* [[Bit-~~reversal permutation]]~~
	* [[Constructions of low-~~discrepancy sequences]]~~
	* [[Halton sequence]], a natural generalization of the van der Corput sequence to higher dimensions

	~~==References==~~
	* J. G. van der Corput, ''Verteilungsfunktionen''. Proc. Ned. Akad. v. Wet., 38:813–821, 1935
	* {{citation \| last=Kuipers \| first=L. \| last2= Niederreiter \| first2=H. \| title = Uniform distribution of sequences \| publisher=[[Dover Publications]] \| date=2005 \| isbn=0-~~486~~-~~45019~~-~~8 \| page=129,158 }}~~

	~~==External links==~~
	* [http://~~mathworld.wolfram.com/vanderCorputSequence.html Van der Corput sequence] at [[MathWorld]]~~

	~~[[Category:Quasirandomness]]~~
	~~[[Category:Diophantine approximation]]~~
	~~[[Category:Sequences and series]~~]

en>Kfitzner: /* Directional SWR Meter */ Removed note about swapped FWD/REV after correcting diagram.

2013-06-25T13:47:25Z

Directional SWR Meter: Removed note about swapped FWD/REV after correcting diagram.

← Older revision		Revision as of 15:47, 25 June 2013
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	~~Hello, my name~~ is ~~Andrew and my spouse doesn't like it at all. For~~ a ~~whilst I've been~~ in ~~Mississippi but now I'm contemplating other choices~~. ~~He works as a bookkeeper~~. ~~She~~ is ~~truly fond~~ of ~~caving but she doesn't have~~ the ~~time lately~~.<br><br>~~Feel free~~ to ~~surf to my homepage free psychic readings (~~[http://~~www~~.~~010-5260-5333~~.com/~~index~~.~~php?document_srl=1880&mid=board_ALMP66 read article~~])		A '''van der Corput sequence''' is a [[low-discrepancy sequence]] over the [[unit interval]] first published in 1935 by the [[Netherlands\|Dutch]] mathematician [[Johannes van der Corput\|J. G. van der Corput]]. It is constructed by reversing the [[base (exponentiation)\|base ''n'' representation]] of the sequence of [[natural number]]s (1, 2, 3, …). For example, the [[decimal]] van der Corput sequence begins:

			:0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 0.01, 0.11, 0.21, 0.31, 0.41, 0.51, 0.61, 0.71, 0.81, 0.91, 0.02, 0.12, 0.22, 0.32, …

			whereas the [[binary numeral system\|binary]] van der Corput sequence can be written as:

			:0.1<sub>2</sub>, 0.01<sub>2</sub>, 0.11<sub>2</sub>, 0.001<sub>2</sub>, 0.101<sub>2</sub>, 0.011<sub>2</sub>, 0.111<sub>2</sub>, 0.0001<sub>2</sub>, 0.1001<sub>2</sub>, 0.0101<sub>2</sub>, 0.1101<sub>2</sub>, 0.0011<sub>2</sub>, 0.1011<sub>2</sub>, 0.0111<sub>2</sub>, 0.1111<sub>2</sub>, …

			or, equivalently, as:

			:<math>\tfrac{1}{2}, \tfrac{1}{4}, \tfrac{3}{4}, \tfrac{1}{8}, \tfrac{5}{8}, \tfrac{3}{8}, \tfrac{7}{8}, \tfrac{1}{16}, \tfrac{9}{16}, \tfrac{5}{16}, \tfrac{13}{16}, \tfrac{3}{16}, \tfrac{11}{16}, \tfrac{7}{16}, \tfrac{15}{16}, \ldots</math>

			The elements of the van der Corput sequence (in any base) form a [[dense set]] in the unit interval: for any real number in [0, 1] there exists a [[subsequence]] of the van der Corput sequence that [[limit of a sequence\|converges]] towards that number. They are also [[equidistributed]] over the unit interval.

			==See also==
			* [[Bit-reversal permutation]]
			* [[Constructions of low-discrepancy sequences]]
			* [[Halton sequence]], a natural generalization of the van der Corput sequence to higher dimensions

			==References==
			* J. G. van der Corput, ''Verteilungsfunktionen''. Proc. Ned. Akad. v. Wet., 38:813–821, 1935
			* {{citation \| last=Kuipers \| first=L. \| last2= Niederreiter \| first2=H. \| title = Uniform distribution of sequences \| publisher=[[Dover Publications]] \| date=2005 \| isbn=0-486-45019-8 \| page=129,158 }}

			==External links==
			* [http://mathworld.wolfram.com/vanderCorputSequence.html Van der Corput sequence] at [[MathWorld]]

			[[Category:Quasirandomness]]
			[[Category:Diophantine approximation]]
			[[Category:Sequences and series]]

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2012-01-27T15:42:13Z

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