81. SIAM AG On Orthogonal Polynomials And Special Functions Forsch. u. Fortschr. 35 (1961), 236239. 8. Hensel, K. Gedachtnisrede auf Ernsteduard kummer. Festschr. zur Feier des 100. Geburststages eduard kummers. http://gams.nist.gov/opsf/personal/weierstrass.html

SIAM AG on Orthogonal Polynomials and Special Functions OP-SF WEB Extract from OP-SF NET Back to Home Page of SIAM AG on Orthogonal Polynomials and Special Functions Page maintained by Martin Muldoon

82. Science Jokes: Archimedes, Jokes And Math From Joachim Verhagen Ernst eduard kummer (18101893), a German algebraist,was rather poor at arithmetic. Whenever he had occasion http://www.juliantrubin.com/mathjokes.html

Archimedes Jokes and Math The Joke of the Week Mathematics is made of 40 percent formulas, 40 percent proofs and 40 percent imagination. About This Site This is a collection of K-12 Mathematics jokes studded with science links, pictures and stamps describing math's history and Archimedes' life and work. The jokes are short, not complicated or abusive. The purpose of this site is to present another science education tool through entertainment and curiosity. Proper jokes and links could be sent to: jokes@julian T rubin.com What is the shortest mathematicians joke? Let epsilon be smaller than zero. A mathematician, a biologist and a physicist are sitting in a street cafe watching people going in and coming out of the house on the other side of the street. First, they see two people going into the house. Time passes. After a while, they notice three persons coming out of the house. The physicist: "The measurement wasn't accurate." The biologists: "They have reproduced". The mathematician: "If now exactly one person enters the house then it will be empty again." A conjecture both deep and profound Is whether a circle is round.

83. Bibliotheks Bestand Translate this page Abtheilung Sphagnaceae, Andreaeaceae, Archidiaceae, Bryineae (Cleistocarpae, StegocarpaeAcrocarpae) Leipzig Verlag von eduard kummer, 1890 Signatur SVBL http://www.bryolich.ch/bibliothek/Biblio_bestand.html

Liste des livres et revues de Bryolich Aichele D., Schwegler, H. W. Stuttgart : Franckh'sche Verlagshandlung, 1956 Signatur: SVBL Aich Aleffi, Michele, R. Schumacker, D. Puntillo, M. Privitera, L. Bernardo, C. Raso Dumortiera hirsuta (SW.) Nees in Calabria (Italy), its southernmost and highest localities in Europe, and additions to the bryophyte flora of this region. Signatur: SVBL Alef Allison, K. W., Child, J. The mosses of New Zealand Dunedin : The University of Otago Press, 1971 Signatur: SVBL Alli Allorge, Pierre Hrsg.: Lechevalier, Paul Paris, 1947 Signatur: SVBL Allo Amann, J. Lausanne, 1912 Signatur: SVBL Aman Amann, J. Separatdruck aus Revue Bryologique (tome 11, fasc. 3 - 4), 1929 Signatur: SVBL Aman Andersen, Anne Grethe Den danske mosflora Copenhagen : Gyldendalske Boghandel, 1976 Band 1: Bladmosser Signatur: SVBL Ande Arnell, Sigfrid

84. May 14 - Today In Science History The existence of the element had been predicted by Dmitry Ivanovich Mendeleyev(1871) who tentatively called it ekaboron. Ernst eduard kummer. http://www.todayinsci.com/5/5_14.htm

MAY 14 - BIRTHS Yuval Ne'eman (source) Born 14 May 1925 Israli theoretical physicist, who worked independently of Gell-Mann but almost simultaneously (1961) devised a method of grouping baryons in such a way that they fell into logical families. Now known as the Eightfold Way (after Buddha's Eightfold Path to Enlightenment and bliss), the scheme grouped mesons and baryons (e.g., protons and neutrons) into multiplets of 1, 8, 10, or 27 members on the basis of various properties. James Hardy (source) Born 14 May 1918; died 19 Feb 2003. American surgeon who headed teams that performed the first human lung transplant in 1963; the first animal-to-human heart transplant in 1964; and a double-lung transplant that left the heart in place in 1987. Three years before Christiaan Barnard performed the first successful human-to-human heart transplant, on 23 Jan 1964, 68-year-old Boyd Rush was admitted to the hospital. No human was heart available; Hardy decided to use the heart of a chimpanzee named Bino. The newly-transplanted heart beat on its own; but it was too small to maintain independent circulation and Rush died after 90 minutes. Hardy had to endure some severe criticism. Overall, his work helped to alter perceptions about the transplantation process. Mikhail Semyonovich Tswett (source) Born 14 May 1872; died 26 Jun 1919.

85. Wiener Zeitung - Allgemeine Turnierseite Translate this page eduard 1731 1 - 0 Br 7 UNION Raiba Oggau I - 5 Panasonic Sieggraben I 1 7 1 FranzenJozef 2289 - IM Banas Jan 2334 1 - 0 2 Kremsner Andreas 2138 - FM kummer http://schach.wienerzeitung.at/asp/turniere.htm?tnr=1005&art=3

86. Hausaufgaben Translate this page In dem Gedicht beschreibt eduard Mörike das Leid und den kummer einer jungenMagd, die verlassen wurde. In einem Monolog erzählt sie über sich. http://007-001-908-d.de/hausaufgaben/deutsch/d0188.htm

Arbeit Ausdrucken (Sollte der Befehl von Deinem Browser nicht unterstützt werden, nutze bitte den Druckbefehl des Browsers) Interpretation des Gedichts "Das verlassene Mägdlein" von Eduard Mörike In dem Gedicht beschreibt Eduard Mörike das Leid und den Kummer einer jungen Magd, die verlassen wurde. In einem Monolog erzählt sie über sich. Sie beschreibt ihre Einsamkeit in ihrem Beruf, da sie früh, wenn es noch dunkel ist, aufstehen muß, um zu arbeiten ("Eh' die Sternlein verschwinden, muß ich am Herde stehn'"), und auch in ihrem Privatleben, da sie von ihrem Liebsten verlassen worden ist ("Treuloser Knabe"). Und in dieser Trauer versunken, findet sie keine Freude mehr am Tag und wünscht sich, daß er schnell vorüber gehen möge ("So kommt der Tag heran - O ging' er wieder"). Denn nachts, wenn sie schläft, wird sie nicht mehr an ihren Geliebten erinnert und kann träumen, er wäre noch bei ihr und sie wären zusammen glücklich. Doch sie muß arbeiten und selbst der schöne Schein der Flammen kann sie nicht fröhlich stimmen. Nichts an diesem Tag kann sie fröhlich machen. Und als ihr dann einfällt, daß sie in der Nacht von IHM geträumt hat und sie an ihre Einsamkeit und seine Untreue erinnert wird, kann sie ihre Tränen nicht zurückhalten ("Träne auf Träne stürzet dann hernieder;"). So steigert sich mit jeder Strophe ihre Trauer. In der ersten Strophe ist es "nur" der Kummer über ihre schlecht Arbeit. In der zweiten Strophe ist sie trotz der schönen Flammen in Leid versunken und läßt sich nicht erfreuen. In der dritten Strophe wird sie dann an die Untreue ihres Geliebten erinnert und bricht dann in der vierten Strophe letztendlich in Tränen aus und wünscht sich nichts sehnlicher, als daß der Tag endlich vorbei gehen möge.

87. SPECIALE MARCHI Atlantic Translate this page SPECIALE MARCHI Atlantic eduard kummer fu il fondatore della odierna ATLANTIC-WatchProduction LTD., nacque a BETTLACH - Svizzera il 26 Marzo del 1845. http://www.orologico.it/dbase/380.html

SPECIALE MARCHI Atlantic Eduard KUMMER fu il fondatore della odierna ATLANTIC-Watch Production LTD., nacque a BETTLACH - Svizzera il 26 Marzo del 1845. Giovanissimo si trasferì come molti altri suoi contemporanei nella vicina Francia per apprendere tutti i segreti delle più avanzate tecniche orologiere dell'epoca. Ritornato dopo qualche anno a Bettlach con il certificato di ''Maestro Orologiaio'' contribuì notevolmente a sviluppare una delle regioni elvetiche che sarebbe poi in futuro diventata fra le più importanti della produzione e tradizione svizzera orologiera. L'Atlantic fu uno dei pochi marchi che furono presenti già alle prime edizioni delle Esposizioni di Basilea e da allora puntualmente è presente a tutte le più importanti Fiere Internazionali; nell'ultima edizione di Basilea 2001 l'ATLANTIC ha proposto le sue nuove collezioni: SEAWING - SEAMOON -SEAPERL - SEACREST Automatic e SEABASE che saranno disponibili nel prossimo autunno. Come altri marchi non molto conosciuti al grande pubblico, anche l'ATLANTIC portò il suo piccolo contributo al grande prestigio ed alla tradizione dell'Orologeria Svizzera: durante il Salone Internazionale di Basilea del 1960 questo marchio presentò il brevetto ''SPEEDSWITCH'' un dispositivo che consentiva il cambio rapido della data senza dover ruotare le lancette di 24 ore. Oggi l'Atlantic segue la strada intrapresa dal suo fondatore: quella di produrre orologi tutti esclusivamente ''SWISS MADE'' con un buon contenuto tecnico ed estetico e con l'impiego di materiali di prima qualità, che assicurano al futuro possessore di un orologio ATLANTIC un prodotto con un ottimo rapporto qualità - prezzo.

88. Feldschiessen 20 02, Gesamt R Anglis Te Nach Kreisen 48 Aarberg Sch eduard Bürgi, Heinz Lugingbühl; KallnachNiederried FS Ernst Köhli, Baumgartner, Michel Probst, Bernhard Roth, eduard Villiger, Erich Weingart; Lyss SG René http://www.seelandschuetzen.ch/resultate/FS02_Gesamtrangliste2.pdf

89. Liederbuch: Leise Rieselt Der Schnee (Eduard Ebel) Translate this page Leise rieselt der Schnee. eduard Ebel. In dem Herzen ist`s warm, still schweigt Kummerund Harm, Sorge des Lebens verhallt, Freue dich, Christkind kommt bald. http://www.strusel007.de/liederbuch/weihnacht/leise_rieselt.html

www.strusel007.de Liederbuch Leise rieselt der Schnee Liederbuch Homepage Lieder als HTML Lieder als plain text Lieder als chordpro ... Links / weitere Quellen andere Formate ASCII Chordpro LaTeX PDF (Text) weihnacht Leise rieselt der Schnee Morgen, Kinder, wird´s was geben Schneefl¶ckchen, WeiŸr¶ckchen Stille Nacht, heilige Nacht Leise rieselt der Schnee Eduard Ebel C G C L eise r ieselt der Schn ee, F C st ill und starr ruht der S ee, G a w eihnachtlich gl ¤nzet der W ald, d C Fr eue dich, Chr istkind kommt b ald ! In dem Herzen ist`s warm, still schweigt Kummer und Harm, Sorge des Lebens verhallt, Freue dich, Christkind kommt bald. Bald ist heilige Nacht, Chor der Engel erwacht, h¶rt nur, wie lieblich es schallt, Freue dich, Christkind kommt bald ! nicht mehr urheberrechtlich gesch¼tzt Gerd Knorr kraxel@strusel007.de

90. Nichts Ist Unmöglich. Praxisbuch Des Konstruktiven Denkens. Kummer Peter Translate this page Nichts ist unmöglich. Praxisbuch des konstruktiven Denkens. kummerPeter. Praxisbuch des konstruktiven Denkens. Autor kummer Peter. http://www.belletristik-suchen.de/Kummer-Peter-Nichts-ist-unmoeglich-3548355366.

Nichts ist unmöglich. Praxisbuch des konstruktiven Denkens. Kummer Peter Titel: Nichts ist unmöglich. Praxisbuch des konstruktiven Denkens. Autor: Kummer Peter Rubrik1: Praktische Tips, Murphy Joseph, Positives Denken Rubrik2: Ratgeber Boettcher E., Herder-Dorneich... Bombach G., Gahlen B., Ott ... Wegehenkel L. Marktwirtschaft... Gerding Rainer, Starbatty Jo... ... Link

91. Kummer Irene Im Mittelpunkt Meines Lebens. Frauen Ergreifen Die Chancen Der Zwei Translate this page kummer Irene Im Mittelpunkt meines Lebens. Frauen ergreifen die Chancen der zweitenLebenshälfte. Titel Im Mittelpunkt meines Lebens. Autor kummer Irene. http://www.belletristik-suchen.de/Kummer-Irene-Im-Mittelpunkt-meine-3466304520.h

Kummer Irene Im Mittelpunkt meines Lebens. Frauen ergreifen die Chancen der zweiten Lebenshälfte. Titel: Im Mittelpunkt meines Lebens. Frauen ergreifen die Chancen der zweiten Lebenshälfte. Autor: Kummer Irene Rubrik1: Ratgeber Lebensführung allgemein, Frau, Alter zweite Lebenshälfte, Lebensmitte Rubrik2: Ratgeber Boettcher E., Herder-Dorneich... Bombach G., Gahlen B., Ott ... Wegehenkel L. Marktwirtschaft... Gerding Rainer, Starbatty Jo... ... Link

92. Term 1 http://enhs.eastnoble.net/math/HAMLIN'S TERM1 PROJECT/KUMMER/KUMMER

Ernst Eduard Kummer Born : Jan. 29, 1810 in Sorau, Brandenburg, Prussia (now Germany) Died : May 14, 1893 in Berlin, Germany Biography Eduard Kummer's father, Carl Gotthelf Kummer was a physician. However he died when Eduard was only three years old. Eduard and his older brother were brought up by their mother. Eduard recieved private coaching before entering the Gymnasium in Sorau when he was nine years old. In 1828, Kummer entered the University of Halle with the intention of studying Protestant theology. Fortunately for the good of mathematics Kummer recieved mathematics as part of his degree, designed to provide a proper foundation to the study of philosophy. Kummer's mathematics lecturer H. F. Scherk inspired his interest in mathematics and Kummer soon was studying mathematics as his main subject, although at this stage he still saw it as leading to a later study of philosophy. In 1831 Kummer was awarded a prize for a mathematical essay he wrote on a topic set by Scherk. In the same year he was awarded his certificate to enable him to teach in schools and, on the strength of his prize winning essay, he was awarded a doctorate. During session 1831-32 Kummer taught a probationary year at the Gymnasium in Sorau where he has been educated. Then he was appointed to a teaching post at the Gymnasium in Liegnitz, now Legnica in Poland. Kummer held his teaching post in Liegnitz for 10 years. There he taught mathematics and physics and sometimes other topics. Some of his students had great ability, and conversely they were extremely fortunate to find a school teacher of Kummer's quality and ability to inspire. His two most famous students were Kronecker and Joachimsthal and under Kummer's guidance, they were undertaking mathematics research while teaching at Liegnitz. He published a paper on hypergeometric series in Crelle's Journal in 1836 and he sent a copy of the paper to Jacobi. This led to Jacobi, and later Dirichlet, corresponding with Kummer on mathematical topics and they soon realized the great potential for the highest level of mathematics that Kummer possessed. In 1839, although still a school teacher Kummer was elected to the Berlin Academy of Sciences on Dirichlet's recommendation. Jacobi now realized that he had to find Kummer a university professorship.

93. Salon Zegarmistrzowski T I W Strojny Wszystko sie zaczelo ponad sto lat temu, kiedy to w roku 1888 roku eduard Kummerzakladal w szwajcarskim miescie Bettlach firme produkujaca zegarki. http://www.zegarki.krakow.pl/kolekcja/atlantic.html

Art Deco cena 825 z³ Seacrest cena 870 z³ Seabase cena 340 z³ HISTORIA FIRMY ATLANTIC Wszystko siê zaczê³o ponad sto lat temu, kiedy to w roku 1888 roku Eduard Kummer zak³ada³ w szwajcarskim mie¶cie Bettlach firmê produkuj±c± zegarki. Na pocz±tku istnienia zatrudnia³ zaledwie 20osób natomiast kilkana¶cie lat pó¼niej zegarki montowa³o ju¿ 720 zegarmistrzów. Pocz±tkowa nazwa to EKB (Eduard Kummer Bettlach), która zosta³a pó¼niej zmieniona na ATLANTIC. Jako¶æ produkowanych czê¶ci doceni³o wiele renomowanych firm miêdzy innymi Longines, Certina. Wyprodukowanie w 1932 roku pierwszego na ¶wiecie wodoszczelnego zegarka o nazwie ATLANTIC - by³o powa¿nym krokiem w rozwoju zegarmistrzostwa. W latach piêædziesi±tych firma opracowa³a i opatentowa³a sposób szybkiej zmiany daty w zegarkach mechanicznych, stosowany do dzi¶ przez wiele firm produkuj±cych zegarki. Rozwi±zanie to przy¶pieszy³o ustawienie daty a¿ 52-krotnie. Najs³ynniejszym modelem ATLANTICA, który bi³ rekordy popularno¶ci w¶ród klienteli by³ Wordmaster. Obecnie jest on równie¿ produkowany i nale¿y do linii ART. DECO. Opracowa³ Piotr Strojny Wiêcej informacji mo¿na uzyskaæ na stronie

94. Math Library - GMT Programming Language This function describes a family of surfaces discovered by Ernst Eduardkummer in 1864. There is a family of kummer surfaces admitting http://www.logosfoundation.org/gmt/gmt_math.html

Prof.Dr.Godfried-Willem RAES : Math library functions and procedures to the harmony library functions This section covers the reference and user manual for all functions contained in the source code module g_math.inc. The corresponding declaration file is g_math.bi. The compiled library is contained in g_lib.dll and the declaration file with all exported functions in g_lib.bi. If the file g_lib.bas is compiled, the compilation of this source code is always included in the resulting DLL. (g_lib.dll). Routine math procedures and makros are not explaned here (refer to any good textbook on math) , only more specific functions and procedures are fully documented. Changes since version 5.2: functions and procedures that are completely independent of the GMT context are now compiled to a specific general purpose DLL: g_indep.dll. The declarations for all exported functions can be found in the file g_indep.bi. Changes since version 5.9: manu math function added. New general Triangle-solver function. Procedures for the conversion from polar to cartesian complex numbers and vice versa.

95. Full Alphabetical Index Translate this page Catalan, Eugène (155*) Cataldi, Pietro (308) Cauchy, Augustin-Louis (2467*) Cavalieri,Bonaventura (565*) Cayley, Arthur (1158*) Cech, eduard (1364*) Cesàro http://www.maththinking.com/boat/mathematicians.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

96. Friedrich Prym http://www.mathematik.uni-wuerzburg.de/History/texte/prym.html

Friedrich Prym Volontariat im Bankhaus Schoeller in Wien Emeritierung Gestorben am 15. Dezember in Bonn 1. Kindheit und Jugend 2. Studium 3. Volontariat 6. Das mathematische Seminar 7. Entpflichtung und Tod 8. Prym als Wissenschaftler 9. Prym als Hochschullehrer 11. Pryms Lebensstil 12. Ehrungen Hans-Joachim Vollrath Adolf Krazer: Friedrich Prym , Jahresbericht der Deutschen Mathematiker Vereinigung, 25, 1917, S. 1-15 Hans-Joachim Vollrath: Friedrich Prym (1841-1915) Reiner Wald: Franz Willems: Prym, Geschichte und Genealogie , Wiesbaden (Pressler) 1968, S. 254-260 [Inhaltsverzeichnis]

97. ¶O°¨°ÝÃD (²Ä 6 ­¶) The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://episte.math.ntu.edu.tw/articles/mm/mm_07_4_01/page6.html

¢x ¢x ¢x ¢x ¢x ¢x ¢x ¶O°¨°ÝD ±d©ú©÷ ·j´M ¡D§@ªÌ·í®É¥ô±Ð©ó¥x¤j¼Æ¾Ç¨t ¡E ¡E ¹ï¥~·j´MöÁä¦r Kummer »P¥N¼Æ¼Æ½× x n y n z n ¬O§_¦³¥þ²§©ó¹sªº¾ã¼Æ¸Ñ¡A ¦bl847¦~¤§«e¨¨S¦³¤Ó¤jªº¶i®i¡C ¥¿¦p±q¥»¤å²Ä4¸`¬Ý±o¥X¨Óªº¡A n ªº±¡ªp«Ü²³æ¡C ¦Ü©ó n ªº±¡ªp¡A¥i¥H»¡ Fermat »P Euler ³£¦³¯à¤O¸Ñ¨M¡C n ªº±¡ªp¬O Dirichlet »P Legendre ¿W¥ßªº¦b1825¦~¤~¸Ñ¨Mªº¡A Dirichlet ¦b 1832 ¦~¤S¸Ñ¨M¤F n n n ¬O¤@­Ó©_½è¼Æ¡A ¡A¥B x n y n z n ­Y p ¬O©_½è¼Æ¡A x ¡A y ¡A z ¬O¥þ²§©ó¹sªº¾ã¼Æ¥B x p y p z p ¡C¥O ¦pªG z y ,¡K, ¨â¨â¤¬½è¡A «h¨ä¬Ò¬° p p ¤è¼Æ¡C §Q¥ÎµL½a»¼´îªk¡A§Ú­Ì¥i¥H¥Ñ¦¹¾É¥X¥Ù¬Þ¡C ¦b¤@¯ë±¡§Î¤U¡A¥O m ¬O z y ,¡K, ªº³Ì¤j¤½¬ù¼Æ¡A «h ,¡K, ªº³Ì¤j¤½¬ù¼Æ¡A¨â¨â¤¬½è ¦]¦¹Âk©ó¥H¤Wªº±¡ªp¡C p ¡F¨Æ¹ê¤W ¬O§_¨ã¦³°ß¤@¤À¸Ñ©Ê½è³£¦³º°Ý¡C ²Ä¤G¡A¥L©¿²¤¤F ªº¥i°f¤¸¯À¤ñ¾ã¼Æªº±¡ªp¼W¥[¤F«Ü¦h(¨£¤W¸`°ò¥»©Ê½è2)¡C ²Ä¤T¡A¦p¦ó¥ÎµL½a»¼´îªk¨Ó¾É¥X¥Ù¬Þ¡A¤]¥O¤H«D±`hº¡C p ¨S¦³°ß¤@¤À¸Ñªº©Ê½è ¡A ¥Lªº¾Ç¥Í Kronecker ¦b¨ä³Õ¤h½×¤å§â ªº¥i°f¤¸¯À¬ã¨s±o²M²M·¡·¡¡CKummer ÁÙ§i¶D¥L­Ì¡A¥L¦b¤@¦~«e³Ð¥ß¤F²z·Q¼Æ (ideal numbers) ªº·§©À¡A ¥i¥H®¾±Ï ¨S¦³°ß¤@¤À¸Ñ©Ê½è©Ò³y¦¨ªº§xø¡C ¥H¤G¦¸¾ã¼ÆÀô ¬°¨Ò¡C ½Ðª`·N¡A ¨¥B2¡A3¡A ¡A³£¬O¤£¥i¬ù¤¸¯À ¡C ¦]¦¹°ß¤@¤À¸Ñ©Ê½è¦b ¡A¥¦´N¦³°ß¤@¤À¸Ñªº©Ê½è¡C ³o¨Ç²z·Q¼Æ¨¤£¬O¦b »P £] ¬O¦³²z¼Æ §ä±o¨ìªº¡C¨Æ¹ê¤W¡A¥O ¥Îªñ¥@ªº¥N¼Æ¼Æ½×ªº²´¥ú¨Ó¬Ý¡A ¬O ªºþÅé (class field) ªº²z·Q¼Æ¥þ³¡¸ú¦b¨äþÅéùØ­±¡C ªº¦]¼Æ¤À¸Ñ¤£À³¥H Dedekind ªº¿ìªk¬O¥Î¡u¶°¦X¡v¨Ó¥N´À¡u¼Æ¡v¡C ¨Ò¦p¡A¦b¾ã¼Æ¤§¤º¡A½è¼Æ 5 ¥i¥H¥Î¶°¦X ¨Ó¡uªí¥Ü¡v¡C¡]ª`·N¡A¶°¦X(5)»P¶°¦X(-5)¬O¬Û¦Pªº¶°¦X¡C³o¤£©_©Ç¡A½è¼Æ 5 »P -5 ¦³¤°»ò¤£¤@¼Ë¡H¡^¦P¼Ëªº¡A¦b ¤§¤º¡A3 ´N¥Î¶°¦X ¬O ¤§¤ºªº¥N¼Æ¾ã¼Æ ªí¥Ü¡C ³o¨Ç¶°¦X¡A©h¥B¥s°µ I ¡A¦³¤@¨Ç¦@¦Pªº¯S©Ê: (i) ­Y , «h (ii)­Y ¡A«h ³Ì©¯¹Bªº¬O¡A¨ã¦³¥H¤W¨â­Ó©Ê½èªº¶°¦X­è¦n¥i¥H®·®» Kummer ªº²z·Q¼Æ¡C¦]¦¹¡A­Y

98. Science Jokes:10. ANECDOTES ABOUT FAMOUS SCIENTISTS mathematics Top of page Bottom of page Index Send comment Ernst EduardKummer (18101893), a German algebraist, was rather poor at arithmetic. http://www.xs4all.nl/~jcdverha/scijokes/10.html

10. ANECDOTES ABOUT FAMOUS SCIENTISTS Index Comments and Contributions previous page mathematics Top of page Bottom of page Index Send comment ... Special Category: Jules Henry Poincaré From: Bob Hayden hayden@oz.plymouth.edu A query from Laurie Snell at Dartmouth... - Forwarded message from J. Laurie Snell - I wonder if you could do me a favor. I am trying to find the origin of the mathematician-baker story. The version I heard was that Poincare bought bread once a day from his local baker. The bread was supposed to weigh 1 kilo but afer a year of record keeping Poicare found a nice normal distribution with mean 950 gr. He called the police and they told the baker to behave himself. One year later Poicare reported to the police that the baker had not reformed. The police confronted the baker and he said "How could Poicare have known that we always gave him the largest loaf? Poincare then showed the police his record for this year which was again a bell shaped curve with max at 950 gr. but trucated on the left side. There is an exhibit at the Boston Science Museum about this but there is no reference given. Could you ask your newsgroups if anyone knows the orgin of this story? Thanks. Laurie Top of page Bottom of page Index Send comment ... Special Category: Ernest Rutherford From: "Alexander Vinogradov" aevin@link.cytspb.rssi.ru

99. Kiyoshi Shiraishi:”N•\ Translate this page 1816, Ernst Siemens, 1892. 1814, Julius Robert von Mayer, 1878. 1810, Ernst EduardKummer, 1893. 1810, Henri Victor Regnault, 1878. 1805, Sir William Rowan Hamilton,1865. http://ha2.seikyou.ne.jp/home/Kiyoshi.Shiraishi/nemp.html

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