Simul - Revision history

92.149.169.207: /* References */

2014-06-01T07:22:09Z

References

← Older revision		Revision as of 09:22, 1 June 2014
Line 1:		Line 1:
	~~{{Use dmy dates\|date=May 2012}}~~		Hi there, I am Alyson Pomerleau and I think it sounds fairly great when you say it. Distributing manufacturing has been his profession for some time. Some time ago she chose to reside in Alaska and her mothers and fathers reside nearby. Playing badminton is a thing that he is totally addicted to.<br><br>Also visit my site :: best psychics; [http://kpupf.com/xe/talk/735373 just click the next website page],
	~~{{Use British English\|date=May 2012}}~~
	~~{{Infobox scientist~~
	~~\|name = Albert Ingham~~
	~~\| birth_name = Albert Edward Ingham~~
	~~\|image = <!--(filename only)-->~~
	~~\|image_size =~~
	~~\|caption =~~
	~~\|birth_date = {{birth date\|1900\|4\|3\|df=y}}~~
	~~\|birth_place = [[Northampton]]~~
	~~\|death_date = {{death date~~ and ~~age\|1967\|9\|6\|1900\|4\|3\|df=y}}~~
	~~\|death_place =~~
	~~\|residence =~~
	~~\|citizenship =~~
	~~\|nationality =~~
	~~\|ethnicity =~~
	~~\|fields =~~
	~~\|workplaces = [[University of Cambridge]]~~
	~~\|alma_mater =[[Trinity College, Cambridge]]~~
	~~\|academic_advisors =~~
	~~\|doctoral_advisor = <!-- No advisor as Ingham didn't do a PhD~~. ~~See talk page -->~~
	~~\|doctoral_students = [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]]<br />[[C~~. ~~Brian Haselgrove\|C. Haselgrove]]<br />[[Christopher Hooley]]<br />William Pennington<br />[[Robert Alexander Rankin\|Robert Rankin]]<ref name="mathgene"/>~~
	~~\|notable_students =~~
	~~\|known_for =~~
	~~\|author_abbrev_bot =~~
	~~\|author_abbrev_zoo =~~
	~~\|influences = [[John Edensor Littlewood]]<ref name="mactutor" />~~
	~~\|influenced =~~
	~~\|awards = [[Smith's Prize]] (1921)<ref name="mactutor" /><br>[[Fellow of the Royal Society]]<ref name="frs">{{cite doi\|10.1098/rsbm.1968.0012}}</ref>~~
	~~\|signature = <!--(filename only)-->~~
	~~\|footnotes = Erdős Number: 1~~
	}}
	'''Albert Edward Ingham''' [[Fellow of the Royal Society\|FRS]] (3 April 1900 – 6 September 1967) was an [[England\|English]] [[mathematician]].<ref>''The Distribution of Prime Numbers'', Cambridge University Press, 1934 (Reissued with a foreword by [[Robert Charles Vaughan (mathematician)\|R. C. Vaughan]] in 1990)</ref>

	~~==Education==~~
	~~Ingham was born~~ in ~~[[Northampton]]. He went to Stafford Grammar School~~ and ~~[[Trinity College, Cambridge]].<ref name="mactutor">{{MacTutor Biography\|id=Ingham}}</ref>~~
	~~==Research==~~
	~~Ingham supervised the Ph.D.s of [[C. Brian Haselgrove]], [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]]~~ and ~~[[Christopher Hooley]]~~.~~<ref name="mathgene">{{MathGenealogy\|id=30623}}</ref> Ingham died in [[Chamonix]], [[France]]~~.

	~~Ingham proved in 1937~~<~~ref~~>~~{{cite doi\|10.1093/qmath/os-8.1.255}}~~<~~/ref~~> ~~that if~~

	:~~<math>\zeta\left(1/2+it\right)\in O\left(t^c\right)</math>~~

	~~for some positive constant ''c'', then~~

	:~~<math>\pi\left(x+x^\theta\right)-\pi(x)\sim\frac{x^\theta}{\log x},</math>~~

	~~for any θ > (1+4c)/(2+4c). Here ζ denotes the [~~[~~Riemann zeta function]] and π the [[prime-counting function]].~~

	~~Using the best published value for ''c'' at the time, an immediate consequence of his result was that~~

	:~~''g''<sub>''n''<~~/~~sub> < ''p''<sub>''n''<~~/~~sub><sup>5~~/8</~~sup>,~~

	~~where ''p''<sub>''n''<~~/~~sub>~~ the ~~''n''-th [[prime number]] and ''g''<sub>''n''</sub> = ''p''<sub>''n''+1</sub> − ''p''<sub>''n''</sub> denotes the ''n''-th [[prime gap]].~~



	~~==References==~~
	~~<references/>~~

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->~~
	~~\| NAME =Ingham, Albert~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = British mathematician~~
	~~\| DATE OF BIRTH =3 April 1900~~
	~~\| PLACE OF BIRTH =[[Northampton]]~~
	~~\| DATE OF DEATH =6 September 1967~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Ingham, Albert}}~~
	~~[[Category:1900 births]]~~
	~~[[Category:1967 deaths]]~~
	~~[[Category:People from Northampton]]~~
	~~[[Category:20th-century mathematicians]]~~
	~~[[Category:Number theorists~~]]
	~~[[Category:Alumni of Trinity College~~, ~~Cambridge]]~~
	~~[[Category:Fellows of the Royal Society]]~~
	~~[[Category:English mathematicians]]~~

	~~{{England-scientist-stub}}~~
	~~{{UK-mathematician-stub}}~~

en>Palosirkka: not free software

2013-08-17T19:00:11Z

not free software

← Older revision		Revision as of 21:00, 17 August 2013
Line 1:		Line 1:
	~~They contact me Emilia. Bookkeeping is what I~~ do. ~~California is our birth location~~. ~~Doing ceramics is what my family members and I appreciate~~.<br><br>~~Here is my homepage; at home std testing;~~ [~~http~~://~~www~~.~~pathwayschico~~.~~org~~/~~blogs~~/~~post~~/~~216965 view site…~~],		{{Use dmy dates\|date=May 2012}}
			{{Use British English\|date=May 2012}}
			{{Infobox scientist
			\|name = Albert Ingham
			\| birth_name = Albert Edward Ingham
			\|image = <!--(filename only)-->
			\|image_size =
			\|caption =
			\|birth_date = {{birth date\|1900\|4\|3\|df=y}}
			\|birth_place = [[Northampton]]
			\|death_date = {{death date and age\|1967\|9\|6\|1900\|4\|3\|df=y}}
			\|death_place =
			\|residence =
			\|citizenship =
			\|nationality =
			\|ethnicity =
			\|fields =
			\|workplaces = [[University of Cambridge]]
			\|alma_mater =[[Trinity College, Cambridge]]
			\|academic_advisors =
			\|doctoral_advisor = <!-- No advisor as Ingham didn't do a PhD. See talk page -->
			\|doctoral_students = [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]]<br />[[C. Brian Haselgrove\|C. Haselgrove]]<br />[[Christopher Hooley]]<br />William Pennington<br />[[Robert Alexander Rankin\|Robert Rankin]]<ref name="mathgene"/>
			\|notable_students =
			\|known_for =
			\|author_abbrev_bot =
			\|author_abbrev_zoo =
			\|influences = [[John Edensor Littlewood]]<ref name="mactutor" />
			\|influenced =
			\|awards = [[Smith's Prize]] (1921)<ref name="mactutor" /><br>[[Fellow of the Royal Society]]<ref name="frs">{{cite doi\|10.1098/rsbm.1968.0012}}</ref>
			\|signature = <!--(filename only)-->
			\|footnotes = Erdős Number: 1
			}}
			'''Albert Edward Ingham''' [[Fellow of the Royal Society\|FRS]] (3 April 1900 – 6 September 1967) was an [[England\|English]] [[mathematician]].<ref>''The Distribution of Prime Numbers'', Cambridge University Press, 1934 (Reissued with a foreword by [[Robert Charles Vaughan (mathematician)\|R. C. Vaughan]] in 1990)</ref>

			==Education==
			Ingham was born in [[Northampton]]. He went to Stafford Grammar School and [[Trinity College, Cambridge]].<ref name="mactutor">{{MacTutor Biography\|id=Ingham}}</ref>
			==Research==
			Ingham supervised the Ph.D.s of [[C. Brian Haselgrove]], [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]] and [[Christopher Hooley]].<ref name="mathgene">{{MathGenealogy\|id=30623}}</ref> Ingham died in [[Chamonix]], [[France]].

			Ingham proved in 1937<ref>{{cite doi\|10.1093/qmath/os-8.1.255}}</ref> that if

			:<math>\zeta\left(1/2+it\right)\in O\left(t^c\right)</math>

			for some positive constant ''c'', then

			:<math>\pi\left(x+x^\theta\right)-\pi(x)\sim\frac{x^\theta}{\log x},</math>

			for any θ > (1+4c)/(2+4c). Here ζ denotes the [[Riemann zeta function]] and π the [[prime-counting function]].

			Using the best published value for ''c'' at the time, an immediate consequence of his result was that

			:''g''<sub>''n''</sub> < ''p''<sub>''n''</sub><sup>5/8</sup>,

			where ''p''<sub>''n''</sub> the ''n''-th [[prime number]] and ''g''<sub>''n''</sub> = ''p''<sub>''n''+1</sub> − ''p''<sub>''n''</sub> denotes the ''n''-th [[prime gap]].



			==References==
			<references/>

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME =Ingham, Albert
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = British mathematician
			\| DATE OF BIRTH =3 April 1900
			\| PLACE OF BIRTH =[[Northampton]]
			\| DATE OF DEATH =6 September 1967
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Ingham, Albert}}
			[[Category:1900 births]]
			[[Category:1967 deaths]]
			[[Category:People from Northampton]]
			[[Category:20th-century mathematicians]]
			[[Category:Number theorists]]
			[[Category:Alumni of Trinity College, Cambridge]]
			[[Category:Fellows of the Royal Society]]
			[[Category:English mathematicians]]

			{{England-scientist-stub}}
			{{UK-mathematician-stub}}

en>Rjwilmsi: typos fixed: independantly → independently using AWB (8273)

2012-08-19T18:04:23Z

typos fixed: independantly → independently using AWB (8273)

New page

They contact me Emilia. Bookkeeping is what I do. California is our birth location. Doing ceramics is what my family members and I appreciate.<br><br>Here is my homepage; at home std testing; [http://www.pathwayschico.org/blogs/post/216965 view site…],

← Older revision		Revision as of 09:22, 1 June 2014
Line 1:		Line 1:
	~~{{Use dmy dates\|date=May 2012}}~~		Hi there, I am Alyson Pomerleau and I think it sounds fairly great when you say it. Distributing manufacturing has been his profession for some time. Some time ago she chose to reside in Alaska and her mothers and fathers reside nearby. Playing badminton is a thing that he is totally addicted to.<br><br>Also visit my site :: best psychics; [http://kpupf.com/xe/talk/735373 just click the next website page],
	~~{{Use British English\|date=May 2012}}~~
	~~{{Infobox scientist~~
	~~\|name = Albert Ingham~~
	~~\| birth_name = Albert Edward Ingham~~
	~~\|image = <!--(filename only)-->~~
	~~\|image_size =~~
	~~\|caption =~~
	~~\|birth_date = {{birth date\|1900\|4\|3\|df=y}}~~
	~~\|birth_place = [[Northampton]]~~
	~~\|death_date = {{death date~~ and ~~age\|1967\|9\|6\|1900\|4\|3\|df=y}}~~
	~~\|death_place =~~
	~~\|residence =~~
	~~\|citizenship =~~
	~~\|nationality =~~
	~~\|ethnicity =~~
	~~\|fields =~~
	~~\|workplaces = [[University of Cambridge]]~~
	~~\|alma_mater =[[Trinity College, Cambridge]]~~
	~~\|academic_advisors =~~
	~~\|doctoral_advisor = <!-- No advisor as Ingham didn't do a PhD~~. ~~See talk page -->~~
	~~\|doctoral_students = [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]]<br />[[C~~. ~~Brian Haselgrove\|C. Haselgrove]]<br />[[Christopher Hooley]]<br />William Pennington<br />[[Robert Alexander Rankin\|Robert Rankin]]<ref name="mathgene"/>~~
	~~\|notable_students =~~
	~~\|known_for =~~
	~~\|author_abbrev_bot =~~
	~~\|author_abbrev_zoo =~~
	~~\|influences = [[John Edensor Littlewood]]<ref name="mactutor" />~~
	~~\|influenced =~~
	~~\|awards = [[Smith's Prize]] (1921)<ref name="mactutor" /><br>[[Fellow of the Royal Society]]<ref name="frs">{{cite doi\|10.1098/rsbm.1968.0012}}</ref>~~
	~~\|signature = <!--(filename only)-->~~
	~~\|footnotes = Erdős Number: 1~~
	}}
	'''Albert Edward Ingham''' [[Fellow of the Royal Society\|FRS]] (3 April 1900 – 6 September 1967) was an [[England\|English]] [[mathematician]].<ref>''The Distribution of Prime Numbers'', Cambridge University Press, 1934 (Reissued with a foreword by [[Robert Charles Vaughan (mathematician)\|R. C. Vaughan]] in 1990)</ref>

	~~==Education==~~
	~~Ingham was born~~ in ~~[[Northampton]]. He went to Stafford Grammar School~~ and ~~[[Trinity College, Cambridge]].<ref name="mactutor">{{MacTutor Biography\|id=Ingham}}</ref>~~
	~~==Research==~~
	~~Ingham supervised the Ph.D.s of [[C. Brian Haselgrove]], [[Wolfgang Heinrich Johannes Fuchs\|Wolfgang Fuchs]]~~ and ~~[[Christopher Hooley]]~~.~~<ref name="mathgene">{{MathGenealogy\|id=30623}}</ref> Ingham died in [[Chamonix]], [[France]]~~.

	~~Ingham proved in 1937~~<~~ref~~>~~{{cite doi\|10.1093/qmath/os-8.1.255}}~~<~~/ref~~> ~~that if~~

	:~~<math>\zeta\left(1/2+it\right)\in O\left(t^c\right)</math>~~

	~~for some positive constant ''c'', then~~

	:~~<math>\pi\left(x+x^\theta\right)-\pi(x)\sim\frac{x^\theta}{\log x},</math>~~

	~~for any θ > (1+4c)/(2+4c). Here ζ denotes the [~~[~~Riemann zeta function]] and π the [[prime-counting function]].~~

	~~Using the best published value for ''c'' at the time, an immediate consequence of his result was that~~

	:~~''g''<sub>''n''<~~/~~sub> < ''p''<sub>''n''<~~/~~sub><sup>5~~/8</~~sup>,~~

	~~where ''p''<sub>''n''<~~/~~sub>~~ the ~~''n''-th [[prime number]] and ''g''<sub>''n''</sub> = ''p''<sub>''n''+1</sub> − ''p''<sub>''n''</sub> denotes the ''n''-th [[prime gap]].~~



	~~==References==~~
	~~<references/>~~

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->~~
	~~\| NAME =Ingham, Albert~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = British mathematician~~
	~~\| DATE OF BIRTH =3 April 1900~~
	~~\| PLACE OF BIRTH =[[Northampton]]~~
	~~\| DATE OF DEATH =6 September 1967~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Ingham, Albert}}~~
	~~[[Category:1900 births]]~~
	~~[[Category:1967 deaths]]~~
	~~[[Category:People from Northampton]]~~
	~~[[Category:20th-century mathematicians]]~~
	~~[[Category:Number theorists~~]]
	~~[[Category:Alumni of Trinity College~~, ~~Cambridge]]~~
	~~[[Category:Fellows of the Royal Society]]~~
	~~[[Category:English mathematicians]]~~

	~~{{England-scientist-stub}}~~
	~~{{UK-mathematician-stub}}~~