41. P-adic Number: Information From Answers.com Padic number (With a lower-case and preferably italicized p.) The p -adic numbersystems were first described by kurt hensel in 1897. http://www.answers.com/topic/p-adic-number

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping P-adic number Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); P-adic number (With a lower-case and preferably italicized p.) The p -adic number systems were first described by Kurt Hensel in 1897. For each prime p , the p -adic number system extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number systems. This is achieved by an alternative interpretation of the concept of absolute value . The p -adic numbers were motivated primarily by an attempt to bring the ideas and techniques of power series methods into number theory , but their influence now extends far beyond this. For example, the field of p -adic analysis essentially provides an alternative form of calculus More precisely, for a given prime

42. Nat' Academies Press, Prime Obsession: Bernhard Riemann And The Greatest Unsolve hensel, Fanny (née Mendelssohn), 388. hensel, kurt, 319, 388. Herglotz, Gustav,255, 256. Hermite, Charles, 159160, 174, 194, 275 http://www.nap.edu/openbook/0309085497/html/413.html

Read more than 3,000 books online FREE! More than 900 PDFs now available for sale HOME ABOUT NAP CONTACT NAP HELP ... ORDERING INFO Items in cart [0] TRY OUR SPECIAL DISCOVERY ENGINE Questions? Call 888-624-8373 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) Joseph Henry Press ( JHP Find More Like This Book Research ... Dashboard NEW! BUY This Book CHAPTER SELECTOR: Openbook Linked Table of Contents Front Matter, pp. i-xvi Part I: The Prime Number Theorem, pp. 1-2 1. Card Trick, pp. 3-18 2. The Soil, the Crop, pp. 19-31 3. The Prime Number Theorem, pp. 32-47 4. On the Shoulders of Giants, pp. 48-62 5. Riemann's Zeta Function, pp. 63-81 6. The Great Fusion, pp. 82-98 7. The Golden Key, and an Improved Prime Number Theorem, pp. 99-117 8. Not Altogether Unworthy, pp. 118-136 9. Domain Stretching, pp. 137-150 10. A Proof and a Turning Point, pp. 151-166 Part II: The Riemann Hypothesis, pp. 167-168 11. Nine Zulu Queens Ruled China, pp. 169-183 12. Hilber's Eighth Problem, pp. 184-200 13. The Argument Ant and the Value Ant, pp. 201-222

43. Nat' Academies Press, Prime Obsession: Bernhard Riemann And The Greatest Unsolve 164165, 230 Heilbronn, Hans, 232 Hejhal, Dennis, 322 Heliotrope, 128 hensel,Fanny (née Mendelssohn), 388 hensel, kurt, 319, 388 Herglotz, Gustav, 255, http://www.nap.edu/books/0309085497/html/407.html

Read more than 3,000 books online FREE! More than 900 PDFs now available for sale HOME ABOUT NAP CONTACT NAP HELP ... ORDERING INFO Items in cart [0] TRY OUR SPECIAL DISCOVERY ENGINE Questions? Call 888-624-8373 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) Joseph Henry Press ( JHP Find More Like This Book Research ... Dashboard NEW! BUY This Book CHAPTER SELECTOR: Openbook Linked Table of Contents Front Matter, pp. i-xvi Part I: The Prime Number Theorem, pp. 1-2 1. Card Trick, pp. 3-18 2. The Soil, the Crop, pp. 19-31 3. The Prime Number Theorem, pp. 32-47 4. On the Shoulders of Giants, pp. 48-62 5. Riemann's Zeta Function, pp. 63-81 6. The Great Fusion, pp. 82-98 7. The Golden Key, and an Improved Prime Number Theorem, pp. 99-117 8. Not Altogether Unworthy, pp. 118-136 9. Domain Stretching, pp. 137-150 10. A Proof and a Turning Point, pp. 151-166 Part II: The Riemann Hypothesis, pp. 167-168 11. Nine Zulu Queens Ruled China, pp. 169-183 12. Hilber's Eighth Problem, pp. 184-200 13. The Argument Ant and the Value Ant, pp. 201-222

44. Franz Lemmermeyer Helmut Hasse, kurt hensel, Marburg 1922. kurt hensel, Leopold Kronecker, Berlin 1884.Leopold Kronecker, Johann Encke, Peter Gustav Dirichlet, Berlin 1845 http://www.fen.bilkent.edu.tr/~franz/anc.html

45. MIKE WEBER’S NOTES OF Commercial Fishermen Kenyon hensel, Jim Bassler, kurt Solomon, Tom Hafer, ChrisHoeflinger, Jim Colomy. • Fish Buyer BJ Johnson. • CPFV Roger Thomas http://www.californiafish.org/meetingnotes.html

MIKE WEBER’S NOTES OF THE NEARSHORE FINFISH MANAGEMENT OPTIONS WORKSHOP 18 July 2000 Sacramento AFTERNOON ADDING SPECIES WITH TAKE CONTROLS AND REGULATIONS SIZE LIMITS GEAR LIMITATIONS AREA CLOSURES OTHER INTERIM MANAGEMENT OPTIONS GENERAL COMMENTS

46. FindArticles In Military Medicine: Mar 2005 by hensel, kurt S; An Assessment of Health Status among Medical Research VolunteersWho Served in the Project Whitecoat Program at Fort Detrick, Maryland http://www.findarticles.com/p/articles/mi_qa3912/is_200503

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication 10,000,000 articles - not found on any other search engine. FindArticles Military Medicine Save a personal copy of any page on the Web and quickly find it again with Furl.net. Get started now. (It's free.) Articles in Mar 2005 issue of Military Medicine Medical Management of Iraqi Enemy Prisoners of War during Operation Telic by Tuck, Jeremy John Hobart An Internet-Based Referral/Consultation System for the U.S.-Associated Pacific Islands: Its Contribution to Orthopedic Graduate Medical Education at Tripler Army Medical Center by Hensel, Kurt S An Assessment of Health Status among Medical Research Volunteers Who Served in the Project Whitecoat Program at Fort Detrick, Maryland by Pittman, Phillip R Cadaver Testing to Validate Design Criteria of an Adult Intraosseous Infusion System by Johnson, David L Biological Weapons Defense: Infectious Disease and Counterbioterrorism by King, Monroe James

47. Hensel's Lemma - All About All In mathematics, hensel s lemma, named after kurt hensel, is a generic name foranalogues for padic fields of the Newton method for solving equations. http://www.allaboutall.info/article/Hensel's_lemma

Hensel's lemma - All About All Search: Everything you wanted to know - online encyclopedia See live article Hensel's lemma Hensel's lemma In mathematics Hensel's lemma , named after Kurt Hensel, is a generic name for analogues for p-adic fields of the Newton method for solving equations. Since p-adic analysis is in some ways simpler than real analysis , there are relatively neat criteria guaranteeing a root of a polynomial. One version of the lemma is as follows. Let f x ) be a polynomial with integer coefficients, k is an integer not less than 2 and p is a prime number . Suppose that r is a solution of the congruence If , then there is a unique integer t p , such that with t given by If, on the other hand, , and in addition, , then for all integers t Also, if and , then has no solution for any See also: Hensel ring, Henselization. Also helps finding: Hensel'slemma, emma, lmma, lema, lema, lemm, iemma, oemma, pemma, kemma Add to bookmarks Related Articles List of mathematical topics (H) List of lemmas P-adic analysis List of mathematical topics (G-I) Top Articles Africa Album Belgium Brazil ... United States Navy MARKET MATCHES " Hensel's_lemma Finest Quality Tailored Fit Short Sleeve T-Shirt Sporting Goods Meyer Lemon Juice Concentrate ... AllAboutAll.Info

48. Kurt Hensel - Ein Maler Aus Einbeck - Kultur & Freizeit - Einbeck-online Translate this page Der Maler kurt hensel teilt mit vielen guten Künstlern seiner Zeit das kurt hensel (1883-1948) machte sich nach intensiven Studien in München und Weimar http://www.einbeck-online.de/freizeit.php?ID=469

49. J. Neurophysiol. -- Table Of Contents (September 1960, 23, (5)) J Neurophysiol 23 552563, 1960 PDF. Herbert hensel and kurt KA BomanAFFERENT IMPULSES IN CUTANEOUS SENSORY NERVES IN HUMAN SUBJECTS http://jn.physiology.org/content/vol23/issue5/index.shtml

HOME HELP FEEDBACK SUBSCRIPTIONS ... SEARCH TABLE OF CONTENTS QUICK SEARCH: [advanced] Author: Keyword(s): Year: Vol: Page: Receive this page by email each issue: [Sign up for eTOCs] Table of Contents: September 1960; 23 (5) [Index by Author] Other Issues: Reviews Articles Find articles in this issue containing these words: To see an article , click its [Full Text] link. To review many abstracts , check the boxes to the left of the titles you want, and click the 'Get All Checked Abstracts' button. To see one abstract at a time , click its [Abstract] link. Reviews REVIEWS J Neurophysiol [PDF] Articles Raymond C. Miles and Allen J. Blomquist FRONTAL LESIONS AND BEHAVIORAL DEFICITS IN MONKEY J Neurophysiol [PDF] Jacques de Rougemont, Adelbert Ames, III, Frances B. Nesbett, and Helmut F. Hofmann FLUID FORMED BY CHOROID PLEXUS: A TECHNIQUE FOR ITS COLLECTION AND A COMPARISON OF ITS ELECTROLYTE COMPOSITION WITH SERUM AND CISTERNAL FLUIDS J Neurophysiol [PDF] DIRECT CORTICAL AND RECRUITING RESPONSES IN POSTNATAL RABBIT J Neurophysiol [PDF] S. Hagiwara, K. Kusano, and S. Saito

50. Powell's Books - Graduate Texts In Mathematics #198: A Course In P-Adic Analysis kurt hensel discovered the padic numbers around the turn of the century.These exotic numbers (or so they appeared at first) are now well established in http://www.powells.com/biblio?isbn=0387986693

51. HELMUT HASSE In 1820, Hasse went to Marburg, and under the direction of kurt hensel, discoveredwhat is now known as the Hasse principle, or localglobal principle, http://faculty.evansville.edu/ck6/bstud/hasse.html

Helmut Hasse (1898-1979) mathematician Helmut Hasse was one of Emmy Noether's colleagues at the University of Göttingen, prior to her emigrating to the United States in 1933. With Hasse and Richard Brauer, Noether published fundamental results in R. Brauer, H. Hasse, and E. Noether, "Beweis eines Hauptsatzes in der Theorie der Algebren," Jounal für die reine und angewandte Mathematik After serving in the German navy during World War I, Hasse matriculated at the University of Göttingen in 1918. There he attended lectures of Edmund Landau, David Hilbert, Emmy Noether, and Erich Hecke. In 1820, Hasse went to Marburg, and under the direction of Kurt Hensel, discovered what is now known as the Hasse principle, or "local-global" principle, in algebraic number theory. Hasse held positions at the universities in Kiel, Halle, and Marburg prior to 1933. In that year, drastic changes took place in Germany and German universities. Jewish academics, including Emmy Noether, were deprived of their academic positions, and they left for other countries. At Göttingen, Hilbert had retired in 1930, and his chair, considered the foremost in mathematics in Germany, was filled by Hermann Weyl. With the troubles of 1933, Weyl resigned, and Helmut Hasse was appointed to the chair. The following year, Hasse became director of the Mathematical Institute at Göttingen, signifying both his eminence as a mathematician and political acceptability to the Nazi regime. Much is written in the references cited below about Hasse's views and activities during those difficult times.

52. BIOGRAPHIES OF PAST NUMBER THEORISTS And VARIOUS ITEMS OF HISTORICAL INTEREST kurt Heegner Hans Arnold Heilbronn (MacTutor); kurt hensel (MacTutor);Jacques Herbrand (MacTutor); Charles Hermite (MacTutor); David Hilbert http://www.numbertheory.org/ntw/N14.html

Biographies of past number theorists and various items of historical interest Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Collected Works Collected papers of Peter Roquette , editors: Anthony V. Geramita and Paulo Ribenboim, Queens University Ouvres J.-P. Serre I-III , Springer 2003 , AMS Notices, March 2005 On the AMS Notices Publication of Krieger's Translation of Weil's 1940 Letter , by Serge Lang, AMS Notices, July 2005 Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician The mountains of Pi , an article about Gregory and David Chudnovsky, by Richard Preston The Life of Alexandre Grothendieck , part (a), AMS Notices October 2004 The Life of Alexandre Grothendieck , part (b), AMS Notices November 2004 Prizes John Tate awarded a Wolf Prize for 2003 SASTRA Ramanujan Prize Serre receives Abel prize , Notices of the AMS, Volume 50, Number 6, 2003 Serre awarded Abel Prize Interview with Jean-Pierre Serre , NAMS February 2004

53. © 1998-2004 Sommerfeld-Projekt. Ausgelesen Am 07. März 2004 Translate this page kurt hensel an Arnold Sommerfeld, 23. Januar 1926 hensel bittet AS um Beitragfür Festband des 100jährigen Bestehens des Crelleschen Journals. http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/03039.html

Kurt Hensel an Arnold Sommerfeld, 23. Januar 1926 Archiv: (Archiv NL 89, 009) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

54. © 1998-2004 Sommerfeld-Projekt. Ausgelesen Am 07. März 2004 Translate this page kurt hensel an Arnold Sommerfeld, 3. August 1926 hensel freut sich über Zusagevon AS, einen Beitrag für den Festband des Crelleschen Journals zu http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/03040.html

Kurt Hensel an Arnold Sommerfeld, 3. August 1926 Archiv: (Archiv NL 89, 009) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

55. Earliest Known Uses Of Some Of The Words Of Mathematics (F) FERMAT S LITTLE THEOREM is found in 1913 in Zahlentheorie by kurt hensel Fürjede endliche Gruppe besteht nun ein Fundamentalsatz, welcher der kleine http://members.aol.com/jeff570/f.html

Earliest Known Uses of Some of the Words of Mathematics (F) Last revision: July 28, 2005 F DISTRIBUTION. The F distribution was tabulated - and the letter introduced - by G. W. Snedecor Calculation and Interpretation of Analysis of Variance and Covariance (1934). (David, 1995). It is sometimes called Snedecor's F distribution although the letter was chosen to honor Fisher. Fisher's original development of the analysis of variance (see the entry variance.) was not based on F but on a related quantity z. (see the entry z and the z distribution.) The term F distribution is found in Leo A. Aroian, "A study of R. A. Fisher's z distribution and the related F distribution," Ann. Math. Statist. FACTOR (noun). Fibonacci (1202) used factus ex multiplicatione (Smith vol. 2, page 105). Factor appears in English in 1673 in Elements of Algebra by John Kersey: "The Quantities given to be multiplied one by the other are called Factors." FACTOR (verb) appears in English in 1848 in Algebra by J. Ray: "The principal use of factoring, is to shorten the work, and simplify the results of algebraic operations." Factorize (spelled "factorise") is found in 1886 in Algebra by G. Chrystal (OED2).

56. Earliest Known Uses Of Some Of The Words Of Mathematics (P) pADIC INTEGER was coined by kurt hensel (1861-1941) (Katz, page 824). P-VALUEand prob-value. David (1995) discusses the difficulties in dating P-value, http://members.aol.com/jeff570/p.html

Earliest Known Uses of Some of the Words of Mathematics (P) Last revision: July 28, 2005 p-ADIC INTEGER was coined by Kurt Hensel (1861-1941) (Katz, page 824). P-VALUE and prob-value. David (1995) discusses the difficulties in dating P -value, the idea of which goes back to Laplaceat leastbefore opting for a reference from 1960! Subsequently David (1998) chose W. E. Deming's Statistical Adjustment of Data of 1943. When Deming wrote the phrase "value of P " was current. It was used in Karl Pearson's (1900) "On the Criterion that a Given System of Deviations from the Probable in the Case of Correlated System of Variables is such that it can be Reasonably Supposed to have Arisen from Random Sampling" ( Philosophical Magazine , 157-175) and used very heavily in R. A. Fisher's Statistical Methods for Research Workers (1925). The use of P -values (or prob-values) is often set against the use of fixed significance levels, especially 5%. It is ironical then that the "value of P " should feature so strongly in Fisher's book when that work also did so much to popularise the use of the 5% level. [John Aldrich]

57. Hampel Kunstauktionen - Kurt Hensel kurt hensel 1882Konitz/Westpreußen - Hannover kurt hensel 1882 Konitz/Westpreußen - http://www.hampel-auctions.com/archiv/kuenstler/434.html

Kurt Hensel folgende Objekte waren in Auktionen: Auktion Katalog Nr. Beschreibung Abbildung Kurt Hensel 1882 Konitz/Westpreußen - Hannover

58. Ringvorlesung Translate this page Diese Zahlen wurden vor ungefähr hundert Jahren von kurt hensel (1861 - 1941)eingeführt. Er ging von der Tatsache aus, daß in der Theorie der algebraischen http://www.math.uni-sb.de/RINGVORLESUNG/WS99/hensel.html

Ringvorlesung Geschichte der Mathematik im Wintersemester 1999/2000 Die p p eine fixierte Primzahl, n ganz und p eine analoge Rolle spielen wie Linearfaktoren z-c p anstelle von z-c zu entwickeln. Stand: 21. Oktober 1999

59. TU/e Publication Lists hensel, kurt Theorie der algebraischen Zahlen erster Band / hensel, kurt http://library.tue.nl/catalog/TUEPublicationNew2308.csp?Language=eng&Type=digita

60. TU/e Publication Lists hensel, kurt Theorie der algebraischen Zahlen erster Band / hensel, kurt http://library.tue.nl/catalog/TUEPublicationNew2308.csp?Language=dut&Type=digita

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