128.146.6.227: /* Comparison with other measures */ Removed an unnecessary and poorly written portion of the text.

2014-10-26T17:27:56Z

Comparison with other measures: Removed an unnecessary and poorly written portion of the text.

en>Nbarth: /* References */ 1981

2013-04-14T15:58:25Z

References: 1981

← Older revision		Revision as of 17:58, 14 April 2013
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	~~The~~ name of the ~~writer is Jayson~~. ~~Office supervising is where my main income comes from but I~~'~~ve always needed my personal business~~. ~~One~~ of the ~~things she loves most~~ is ~~canoeing~~ and ~~she~~'s ~~been performing it for fairly a while~~. ~~Ohio~~ is ~~exactly where my home~~ is ~~but my husband wants us to transfer.~~<br><br>~~my blog~~ ... ~~psychics online~~ ([~~http~~:~~//koreanyelp~~.~~com/index.php?document_srl~~=~~1798&mid~~=~~SchoolNews click through~~ the ~~following internet site~~])		{{Infobox scientist
			\|name = Lazarus Fuchs
			\|image = Lazarus Immanuel Fuchs.jpg
			\|image_size = 150px
			\|caption = Lazarus Immanuel Fuchs (1833–1902)
			\|birth_date = {{birth date\|1833\|05\|05}}
			\|birth_place = [[Mosina\|Moschin]], [[Kingdom of Prussia\|Prussia]]
			\|death_date = {{death date and age\|1902\|04\|26\|1833\|05\|05}}
			\|death_place = [[Berlin]], [[German Empire]]
			\|residence = [[Germany]]
			\|citizenship =
			\|nationality = [[Germany\|German]]
			\|ethnicity =
			\|fields =
			\|workplaces = [[University of Greifswald]]<br>[[University of Heidelberg]]<br>[[University of Berlin]]<br>[[University of Göttingen]]
			\|alma_mater = [[University of Berlin]]
			\|doctoral_advisor = [[Karl Weierstraß]]
			\|academic_advisors =
			\|doctoral_students = [[Gerhard Hessenberg]]<br>[[Edmund Landau]]<br>[[Hermann Schapira]]<br>[[Ludwig Schlesinger]]<br>[[Issai Schur]]<br>[[Theodor Vahlen]]<br>[[Ernst Zermelo]]<!--[[Julius Frey (mathematician)\|Julius Frey]]<br>[[Paul Günther (mathematician)\|Paul Günther]]<br>[[Harris Hancock]]<br>[[Lothar Heffter]]<br>[[Norbert Hertz]]<br>[[Joe Ivey]]<br>[[August Krause]]<br>[[Otto Lühn]]<br>[[Adolph Migotti]]<br>[[Alexander Radzig]]<br>[[Sigmund Rosen]]<br>[[Karl Schadwill]<br>[[Carlo Veneziani]]<br>[[Georg Wallenberg]]<br>[[Moritz Weiß]]<br>[[Ernst Wendt]]<br>[[Theodor Wienke]]<br>[[Eduard Wrobel]]<br>[[Rudolf Ziegel]]<br>[[Boris Yakovlevich Bukreev]]-->
			\|notable_students =
			\|known_for = [[Fuchsian group]]s <br>[[Picard–Fuchs equation]]<br>[[Fuchs's theorem]]
			\|author_abbrev_bot =
			\|author_abbrev_zoo =
			\|influences = [[Ernst Kummer]]
			\|influenced = [[Jules Henri Poincaré]]<br>[[Marie Ennemond Camille Jordan]]<br>[[Felix Christian Klein]]
			\|awards =
			\|religion =
			\|signature = <!--(filename only)-->
			\|footnotes =
			}}

			'''Lazarus Immanuel Fuchs''' (5 May 1833 – 26 April 1902) was a [[German language\|German]] [[mathematician]] who contributed important research in the field of [[linear differential equation]]s.<ref>{{cite journal\|author=Wilczynski, E. J.\|authorlink=Ernest Julius Wilczynski\|title=Lazarus Fuchs\|journal=Bull. Amer. Math. Soc.\|year=1902\|volume=9\|issue=1\|pages=46–49\|mr=1557937}}</ref> He was born in [[Mosina\|Moschin]] (Mosina) (located in [[Grand Duchy of Posen]]) and died in [[Berlin]], [[Imperial Germany\|Germany]]. He was buried in [[Schöneberg]] in the [[Old St. Matthew's Cemetery, Berlin\|St. Matthew's Cemetery]]. His grave in section H is preserved and listed as a grave of honour of the State of Berlin.

			He is the eponym of [[Fuchsian group]]s and functions, and the [[Picard–Fuchs equation]]; ''Fuchsian'' [[differential equation]]s are those with [[regular singularities]]. Fuchs is also known for [[Fuchs's theorem]] which states that if ''x''<sub>0</sub> is a [[regular singular point]] then the differential equation

			: <math>p(x)y''+q(x)y'+r(x)y=0\,</math>

			has at least one solution of the form

			: <math>y=\sum_{n=0}^\infty a_n(x-x_0)^{n+\sigma},\quad a_0\ne0\,</math>

			for some ''σ'' to be determined. In some cases, there will be two [[linear independence\|linearly independent]] solutions of that form.

			== Selected works ==
			* ''Über Funktionen zweier Variabeln, welche durch Umkehrung der Integrale zweier gegebener Funktionen entstehen'', Göttingen 1881.
			* ''Zur Theorie der linearen Differentialgleichungen'', Berlin 1901.
			* ''Gesammelte Werke'', Hrsg. von Richard Fuchs und Ludwig Schlesinger. 3 Bde. Berlin 1904–1909.

			== References ==
			{{reflist}}

			== External links ==
			*{{cite journal\|author=[[Jeremy Gray]]\|title=''Fuchs and the theory of differential equations''\|journal=Bulletin AMS (New Series)\|year=1984\|volume=10\|issue=1\|pages=1–26\|mr=722855}}
			* {{MacTutor\|id=Fuchs}}
			* {{MathGenealogy\|id=11370}}

			{{Authority control\|VIAF=29616322}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME =Fuchs, Laz
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = German mathematician
			\| DATE OF BIRTH =5 May 1833
			\| PLACE OF BIRTH =[[Mosina]], [[Grand Duchy of Poznań]]
			\| DATE OF DEATH =26 April 1902
			\| PLACE OF DEATH =[[Berlin]], [[Germany]]
			}}
			{{DEFAULTSORT:Fuchs, Laz}}
			[[Category:German mathematicians]]
			[[Category:1833 births]]
			[[Category:1902 deaths]]
			[[Category:People from Mosina]]
			[[Category:People from the Grand Duchy of Posen]]
			[[Category:Humboldt University of Berlin alumni]]
			[[Category:University of Greifswald faculty]]
			[[Category:19th-century German mathematicians]]
			[[Category:20th-century mathematicians]]


			{{Germany-mathematician-stub}}

en>Boris Breuer at 21:56, 16 June 2011

2011-06-16T21:56:56Z

New page

The name of the writer is Jayson. Office supervising is where my main income comes from but I've always needed my personal business. One of the things she loves most is canoeing and she's been performing it for fairly a while. Ohio is exactly where my home is but my husband wants us to transfer.<br><br>my blog ... psychics online ([http://koreanyelp.com/index.php?document_srl=1798&mid=SchoolNews click through the following internet site])

Mid-range - Revision history

128.146.6.227: /* Comparison with other measures */ Removed an unnecessary and poorly written portion of the text.

en>Nbarth: /* References */ 1981

en>Boris Breuer at 21:56, 16 June 2011