Goldbach may refer to Streams Germany Goldbach Bode , a large stream in the Harz Mountains Places Germany Goldbach, Bavaria , a municipality in Bavaria Goldbach, Thuringia , a municipality in Thuringia Goldbach Crailsheim , a quarter of Crailsheim in Baden W rttemberg Switzerland Goldbach, Hasle bei Burgdorf , part of Hasle bei Burgdorf , Canton of Berne Goldbach, L tzelfl h , part of L tzelfl h , Canton of Berne Goldbach, Zurich , part of K snacht, Canton of Zurich Mathematics Christian Goldbach , an 18th century Prussian mathematician Goldbach s conjecture , one of the oldest unsolved problems in number theory Disambig Surname de Goldbach es Goldbach eo Goldbach fr Goldbach it Goldbach nl Goldbach pl Goldbach ru vo Goldbach ... more details
Infobox French commune name Goldbach Altenbach region Alsace department Haut Rhin arrondissement Thann canton Saint Amarin INSEE 68106 postal code 68760 mayor Marcel Girard term 2001&ndash 2008 intercommunality Vall e de Saint Amarin longitude 7.105 latitude 47.8736 elevation m 680 elevation min m 482 elevation max m 1420 area km2 9.14 population 309 population date 2006 Goldbach Altenbach is a Communes of France commune in the Haut Rhin Departments of France department in Alsace in north eastern France . See also Communes of the Haut Rhin d partement References http www.insee.fr en home home page.asp INSEE Reflist Haut Rhin communes DEFAULTSORT Goldbachaltenbach Category Communes of Haut Rhin HautRhin geo stub als Goldbach Altenbach ca Goldbach Altenbach ceb Goldbach Altenbach de Goldbach Altenbach es Goldbach Altenbach eu Goldbach Altenbach fr Goldbach Altenbach it Goldbach Altenbach pam Goldbach Altenbach la Goldbach Altenbach ms Goldbach Altenbach nl Goldbach Altenbach oc Goldbach Altenbach pms Goldbach Altenbach pl Goldbach Altenbach pt Goldbach Altenbach sk Goldbach Altenbach sl Goldbach Altenbach sr bug Goldbach Altenbach uk vi Goldbach Altenbach vo Goldbach Altenbach war Goldbach Altenbach ... more details
Goldbach is part of the municipality of K snacht in the district of Meilen in the canton of Z rich in Switzerland. Goldbach is located north of K snacht proper, south and west of Zollikon , and on the Goldk ste Gold Coast of Lake Z rich . The K snacht Goldbach railway station is 12 14 minutes from downtown Zurich via the S6 and S16 Z rich S Bahn S Bahn train lines. Goldbach is home to the Goldbach Center and Goldbach Media AG . Zurich geo stub coord 47.2679 8.8905 display title Category Canton of Zurich ... more details
Infobox German location Name Goldbach image photo Wappen Wappen Goldbach Th. .png lat deg 50 lat min 59 lat sec 35 lon deg 10 lon min 39 lon sec 30 Lageplan Goldbach in GTH.svg Bundesland Th ringen Landkreis Gotha Verwaltungsgemeinschaft Mittleres Nessetal H he 270 Fl che 12.15 Einwohner 1780 Stand 2006 12 31 PLZ 99869 Vorwahl 036255 Kfz GTH Gemeindeschl ssel 16 0 67 027 Adresse Hauptstr. 15 br 99869 Goldbach Website http www.mittleres nessetal.de www.mittleres nessetal.de B rgermeister Doris K stner Goldbach is a municipality in the Gotha district district of Gotha , in Thuringia , Germany . Cities and towns in Gotha district References Reflist Category Municipalities in Thuringia Gotha geo stub de Goldbach Th ringen eo Goldbach Turingio fr Goldbach Thuringe it Goldbach Turingia nl Goldbach Th ringen pl Goldbach Turyngia pt Goldbach Tur ngia ro Goldbach Th ringen ru sr vi Goldbach, Gotha vo Goldbach Th ringen war Goldbach, Thuringia ... more details
Infobox scientist name Christian Goldbach birth date March 18, 1690 birth place K nigsberg , Brandenburg Prussia death date November 20, 1764 aged 74 death place Moscow , Russian Empire residence citizenship nationality Russia Russian ethnicity field Mathematics and Law work institutions alma mater doctoral advisor doctoral students known for Goldbach s conjecture author abbrev bot author abbrev zoo influences influenced signature Christian Goldbach March 18, 1690 &ndash November 20, 1764 was a Germany German mathematician who also studied law . He is remembered today for Goldbach s conjecture . Biography Born in the Duchy of Prussia s capital K nigsberg , part of Brandenburg Prussia , Goldbach ... Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach s Conjecture . He also studied and proved some theorems on perfect power s, such as the Goldbach Euler theorem , and made several notable contributions ... serierum References Reflist External links MacTutor Biography id Goldbach http www.math.dartmouth.edu euler correspondence correspondents Goldbach.html Electronic copies of Euler s correspondence with Goldbach Persondata Metadata see Wikipedia Persondata . NAME Goldbach, Christian ALTERNATIVE NAMES ... OF DEATH November 20, 1764 PLACE OF DEATH Moscow , Russian Empire DEFAULTSORT Goldbach, Christian ... ca Christian Goldbach da Christian Goldbach de Christian Goldbach el es Christian Goldbach fa fr Christian Goldbach it Christian Goldbach he ht Christian Goldbach la Christianus Goldbach hu Christian Goldbach nl Christian Goldbach ja no Christian Goldbach nn Christian Goldbach pms Christian Goldbach pl Christian Goldbach pt Christian Goldbach ro Christian Goldbach ru , scn Christian Goldbach sr sv Christian Goldbach tr Christian Goldbach vi Christian Goldbach zh ... more details
unreferenced date May 2010 L tzelfl h Goldbach is a Swiss twin suburb located about 36 km driving distance from Bern and 9 km from Burgdorf, Switzerland . File L tzelfl h Goldbach2.jpg thumb left 220px A board in L tzelfl h Goldbach File L tzelfl h Goldbach3.jpg thumb left 220px A road in L tzelfl h Goldbach File L tzelfl h GoldbachStation.jpg thumb right 220px L tzelfl h Goldbach railway station File L tzelfl h GoldbachSE.jpg thumb right 220px L tzelfl h Goldbach railway station entrance on the left References coord missing Switzerland DEFAULTSORT Lutzelfluh Goldbach Category Canton of Bern Bern geo stub ... more details
Expand German topic geo date October 2011 M nchsbach Goldbach Infobox river name M nchsbach Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Saxony Anhalt length elevation mouth elevation discharge watershed river system left tribs right tribs M nchsbach Goldbach is a river of Saxony Anhalt , Germany . See also List of rivers of Saxony Anhalt coord missing Saxony Anhalt DEFAULTSORT Monchsbach Goldbach Category Rivers of Saxony Anhalt SaxonyAnhalt geo stub de M nchsbach Goldbach ... more details
Other places3 Goldbach disambiguation Infobox German Location Name Goldbach Wappen Wappen Goldbach Unterfranken.png lat deg 49 lat min 59 lat sec 20 lon deg 09 lon min 11 lon sec 11 Lageplan Goldbach in AB.svg ... PLZ 63773 Vorwahl 06021 Kfz AB Gemeindeschl ssel 09 6 71 121 Adresse Sachsenhausen 19 br 63773 Goldbach Website http www.markt goldbach.de markt goldbach.de B rgermeister Thomas Krimm Goldbach is a market ... in the yellow loess soil, which during heavy rainfalls colours the local brook, also called the Goldbach ... with Goldbach. History In 1218, Goldbach had its first documentary mention. From the mid 15th century, Goldbach was under the authority of the Archbishopric of Mainz Archbishop of Mainz . In 1814, Goldbach was transferred to Bavaria. On 26 May 1995, Goldbach was granted the designation ... representation of just such a thing. From the 7th to the 11th century, Goldbach belonged to the area of the Franks Frankish royal estate, which is what the crown symbolizes. Until 1803, Goldbach ... . Culture and sightseeing Churches Goldbach has at its disposal two Roman Catholicism Catholic ... Saint John s Church . Sport and clubs In Goldbach there is a lively sport, culture and club ... on TV Goldbach , which is said to cover 10 km on each of nine appointed times. Further clubs are VfR Goldbach, AC Bavaria Goldbach, Gesangverein Harmonie Goldbach singing club , Gesangverein S ngerkranz Goldbach singing club , KJG St. Nikolaus, KJG St. Maria Immaculata, DJK Goldbach 1985 e.V., MSC Goldbach, KKS Goldbach, BRK Goldbach, Freiwillige Feuerwehr Goldbach volunteer fire brigade , RG Goldbach, F.W.V. Goldbach. Economy and infrastructure Transport Goldbach lies right on the Bundesautobahn ... away . Between Goldbach and H sbach , when the Autobahn was being widened to six lanes, a housing was built ..., 3 football pitches and 2 sport halls. gallery Image Goldbach Strassenzug mit St. Nikolaus Kirche.jpg Residential street with the Catholic parish church St. Nikolaus in Goldbach Image Goldbach Gasthaus ... more details
Expand German topic geo date September 2011 Goldbach Bibers Infobox river name Goldbach Bibers image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Baden W rttemberg length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach Bibers is a river of Baden W rttemberg , Germany . See also List of rivers of Baden W rttemberg coord missing Baden W rttemberg Category Rivers of Baden W rttemberg BadenW rttemberg geo stub de Goldbach Bibers ... more details
Expand German topic geo date September 2011 Goldbach Aschaff Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Bavaria length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Bavaria , Germany . See also List of rivers of Bavaria coord missing Bavaria Category Rivers of Bavaria Bavaria geo stub de Goldbach Aschaff ... more details
Expand German topic geo date September 2011 Goldbach Kahl Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Bavaria length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Bavaria , Germany . See also List of rivers of Bavaria coord missing Bavaria Category Rivers of Bavaria Bavaria geo stub de Goldbach Kahl ... more details
Expand German topic geo date September 2011 Goldbach Mangfall Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Bavaria length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Bavaria , Germany . See also List of rivers of Bavaria coord missing Bavaria Category Rivers of Bavaria Bavaria geo stub de Goldbach Mangfall ... more details
Expand German topic geo date September 2011 Goldbach Pegnitz Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Bavaria length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Bavaria , Germany . See also List of rivers of Bavaria coord missing Bavaria Category Rivers of Bavaria Bavaria geo stub de Goldbach Pegnitz ru ... more details
Expand German topic geo date September 2011 Goldbach Tollense Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Mecklenburg Vorpommern length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Mecklenburg Vorpommern , Germany . See also List of rivers of Mecklenburg Vorpommern coord missing Mecklenburg Vorpommern Category Rivers of Mecklenburg Vorpommern MecklenburgVorpommern geo stub de Goldbach Tollense ... more details
Expand German topic geo date September 2011 Goldbach Este Infobox river name Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Lower Saxony length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach is a river of Lower Saxony , Germany . See also List of rivers of Lower Saxony coord missing Lower Saxony Category Rivers of Lower Saxony LowerSaxony geo stub de Goldbach Este ... more details
Expand German topic geo date October 2011 Goldbach Ems Infobox river name Goldbach Ems image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Hesse length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach Ems is a river of Hesse , Germany . See also List of rivers of Hesse coord missing Hesse Category Rivers of Hesse Hesse geo stub de Goldbach Ems ... more details
Expand German topic geo date October 2011 Goldbach R ddenau Infobox river name Goldbach R ddenau image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Hesse length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach R ddenau is a river of Hesse , Germany . See also List of rivers of Hesse coord 51 02 59 N 8 46 16 E region DE HE type waterbody source kolossus dewiki display title Category Rivers of Hesse Hesse geo stub de Goldbach R ddenau ... more details
Expand German topic geo date October 2011 Goldbach M hne Infobox river name Goldbach M hne image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location North Rhine Westphalia length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach M hne is a river of North Rhine Westphalia , Germany . See also List of rivers of North Rhine Westphalia coord missing North Rhine Westphalia Category Rivers of North Rhine Westphalia NorthRhineWestphalia geo stub de Goldbach M hne ... more details
Expand German topic geo date October 2011 Goldbach M nzbach Infobox river name Goldbach M nzbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Saxony length elevation mouth elevation discharge watershed river system left tribs right tribs Goldbach M nzbach is a river of Saxony , Germany . See also List of rivers of Saxony coord 50 53 45 N 13 18 47 E region DE SN type waterbody source kolossus dewiki display title Category Rivers of Saxony Saxony geo stub de Goldbach M nzbach ... more details
Expand German topic geo date October 2011 Teufelsbach Goldbach Infobox river name Teufelsbach Goldbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Saxony Anhalt length elevation mouth elevation discharge watershed river system left tribs right tribs Teufelsbach Goldbach is a river of Saxony Anhalt , Germany . See also List of rivers of Saxony Anhalt coord missing Saxony Anhalt Category Rivers of Saxony Anhalt SaxonyAnhalt geo stub de Teufelsbach Goldbach ... more details
Goldbach s conjecture is one of the oldest unsolved problems in mathematics unsolved problem s in number ... 2 can be expressed as the sum of two prime number primes . ref MathWorld title Goldbach Number urlname GoldbachNumber ref Goldbach s conjecture can be written in logic notation as math forall n in mathbb ... P ,n p q right math ref http cseweb.ucsd.edu gill BWLectSite Resources C1U2Lo.pdf ref Goldbach ... as the sum of two primes. ref http demonstrations.wolfram.com GoldbachConjecture Goldbach s Conjecture by Hector Zenil, Wolfram Demonstrations Project , 2007. ref A Goldbach number is a number that can be expressed as the sum of two odd primes. Therefore, another statement of Goldbach s conjecture is that all even integers greater than 2 are Goldbach numbers. The expression of a given even number as a sum of two primes is called a Goldbach Partition number theory partition of that number ... id A045917 . Origins On 7 June 1742, the German mathematician Christian Goldbach originally of Brandenburg ... title Goldbach Conjecture ref The two conjectures are now known to be equivalent, but this did not seem to be an issue at the time. A modern version of Goldbach s marginal conjecture ... dated 30 June 1742, and reminded Goldbach of an earlier conversation they had ...so Ew vormals mit mir communicirt haben.. , in which Goldbach remarked his original and not marginal conjecture followed ... primes , which is thus also a conjecture of Goldbach. In the letter dated 30 June 1742, Euler stated ... Caldwell first Chris title Goldbach s conjecture year 2008 url http primes.utm.edu glossary page.php?sort goldbachconjecture accessdate 2008 08 13 ref blockquote Goldbach s third version equivalent to the two ... as the Mathematical jargon strong strong , even , or binary Goldbach conjecture, to distinguish it from a weaker corollary. The strong Goldbach conjecture implies the conjecture that all odd numbers greater than 7 are the sum of three odd primes , which is known today variously as the Goldbach ... more details
Infobox Fluss LAGE Saxony Anhalt , GER GKZ FLUSSSYSTEM Elbe ABFLUSSWEG Bode Saale Elbe North Sea EINZUGSGEBIET NACHWEIS EINZUGSGEBIET L NGE NACHWEIS L NGE ABFLUSS NNQ ABFLUSS MQ ABFLUSS MHQ ABFLUSS HHQ ABFLUSS HHQ JAHR BEZEICHNUNG QUELLE QUELLE east of the uplands of Elbingerode Harz Elbingerode QUELLH HE PREFIX QUELLH HE H HENBEZUG QUELLE DE NN QUELLH HE SUFFIX QUELLE LAT GRAD 51.782425 QUELLE LONG GRAD 10.8594861 QUELLE REGION DE NI M NDUNG in Wegeleben into the Bode river Bode M NDUNGSH HE PREFIX M NDUNGSH HE H HENBEZUG M NDUNG DE NN M NDUNGSH HE SUFFIX M NDUNG LAT GRAD 51.8888389 M NDUNG LONG GRAD 11.1831861 M NDUNG REGION DE NI LINKE NEBENFL SSE RECHTE NEBENFL SSE SEEN STAUSEEN EINWOHNER IM EINZUGSGEBIET GROSSST DTE MITTELST DTE KLEINST DTE GEMEINDEN BILD BILDBESCHREIBUNG BILD1 BILD1 BESCHREIBUNG The Goldbach is a left tributary of the River Bode , about 30 km long, in the Harz Mountains of Germany . Course The Goldbach rises east of the uplands of Elbingerode Harz , flows through the Silberborn Valley, past Michaelstein Abbey and the Blankenburg Monk s Mill M nchem hle Blankenburg , passes under the Bundesstra e 6 B 6 federal highway and is joined by numerous other streams. In spring the upper reaches of the Goldbach become in places a raging meltwater torrent. It continues on through Langenstein Halberstadt Langenstein , running below the Spiegelsberge hills and past Halberstadt to the south, through Harsleben and Wegeleben, where it empties into the Bode river Bode . Fauna Numerous endangered species live in the Goldbach, such as the brown trout and small shellfish . Tributaries Molkegraben right Sauteichsgraben left External links http www.harzlife.de info goldbach.html The Goldbach in the Harz de icon Category Rivers of Saxony Anhalt Category Bode basin 1Goldbach de Goldbach Bode ... more details
MedalTableTop MedalSport Women s Rowing sport Rowing MedalCountry GER MedalSport Rowing World Championships MedalSilver 1999 World Rowing Championships 1999 St. Catharines W4 MedalBronze 2001 World Rowing Championships 2001 Lucerne W8 MedalBronze 2003 World Rowing Championships 2003 Milan W4 MedalBottom Sandra Goldbach born 15 April 1977 in Dresden is a German rower. References FISA 3898 http www.sports reference.com olympics athletes go sandra goldbach 1.html Profile at sports reference.com Persondata Metadata see Wikipedia Persondata . NAME Goldbach, Sandra ALTERNATIVE NAMES SHORT DESCRIPTION Rower DATE OF BIRTH 15 April 1977 PLACE OF BIRTH Dresden DATE OF DEATH PLACE OF DEATH DEFAULTSORT Goldbach, Sandra Category 1977 births Category Living people Category German rowers Category People from Dresden Category Rowers at the 2004 Summer Olympics Category Olympic rowers of Germany Germany rowing bio stub ... more details
Expand German topic geo date September 2011 Klingenbach Goldbach Infobox river name Klingenbach image name image size image alt caption image map map size map alt map caption origin mouth progression basin countries Germany location Bavaria length elevation mouth elevation discharge watershed river system left tribs right tribs Klingenbach is a river of Bavaria , Germany . See also List of rivers of Bavaria coord missing Bavaria Category Rivers of Bavaria Bavaria geo stub de Klingenbach Goldbach ... more details
Goldbach s comet ref Fliegel, Henry F. Robertson, Douglas S. Goldbach s Comet the numbers related to Goldbach s Conjecture Journal of Recreational Mathematics, v21 1 1 7, 1989. ref is the name given to a plot of the function math g E math , the so called Goldbach function . The Goldbach function is studied in relation to Goldbach s conjecture . The function math g E math is defined for all even integers math E 2 math to be the number of different ways in which E can be expressed as the sum of two primes. For example, math g 22 3 math since 22 can be expressed as the sum of two primes in three different ways math 22 11 11 5 17 3 19 math . Image goldbachs comet.gif The coloring of points in the above image is based on the value of math E 2 math modular arithmetic modulo 3. Anatomy of the Goldbach Comet An illuminating way of presenting the comet data is as a histogram . The function math g E math can be normalized by dividing by the locally averaged value of g , g sub av sub , taken over perhaps 1000 neighboring values of the even number E . The histogram can then be accumulated over a range of up to about 10 either side of a central E . Image Gbcomethista1.jpg 400 px right Such a histogram appears on the right. A series of well defined peaks is evident. Each of these peaks can be identified as being formed by a set of values of math E 2 math which have certain smallest factors. The major peaks correspond to lowest factors of 3, 5, 7 ... as labeled. As the lowest factors become higher the peaks move left and eventually merge to give the lowest value primary peak. There is in fact a hierarchy of peaks the main peaks are composed of subsidiary peaks, with a succession of second smallest factors of math E 2 math . This hierarchy continues until all factors are exhausted. Image gbcomethistoga2.jpg 300 px right The magnified section shows the succession of subsidiary peaks in more ... into account the narrowing of the peak width, is not much larger. Any search for violation of the Goldbach ... more details
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