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         Zassenhaus Hans:     more books (21)
  1. Group Theory, Algebra, and Number Theory: Colloquium in Memory of Hans Zassenhaus, Held in Saarbrucken, Germany, June 4-5, 1993
  2. Number Theory and Algebra: Collected Papers Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd
  3. Crystallographic Groups of Four-dimensional Space (Monographs on Crystallography) by Harold Brown, Rolf Bulow, et all 1978-10-11
  4. Lie groups, lie algebras and representation theory (Seminaire de mathematiques superieures) by Hans Zassenhaus, 1981
  5. The Theory of Groups by Hans Zassenhaus, 1958
  6. The Theory of Groups by Hans Zassenhaus, 1949
  7. Theory of Groups 2ND Edition by Hans Zassenhaus, 1958
  8. Theory of Groups 1ST Edition by Hans Zassenhaus, 1949-01-01
  9. The group of an equation (Nachrichten der Akademie der Wissenschaften in Gottingen. II. Mathematisch-physikalische Klasse) by Hans Zassenhaus, 1967
  10. Journal of Number Theory , Vol. 2 1970 by Hans Zassenhaus, 1970
  11. Journal of Number Theory, Vol. 6, No. 4, Aug. 1974 by Hans Zassenhaus, 1974
  12. Artin, his life and his work by Hans Zassenhaus, 1963
  13. Lie-rings and Lie-algebras: Canadian mathematical congress, summer seminar, University of Alberta, August 12-30, 1957 by Hans Zassenhaus, 1957
  14. NUMBER THEORY AND ALGEBRA: Collected Papers Dedicated to Henry B. Mann, Arnold E. Ross, and Olga Taussky-Todd. by Hans. Zassenhaus, 1978

61. Felix.unife.it/Root/d-Mathematics/d-Groups-and-semigroups/b-Group-theory-in-crys
Translate this page H. Brown/R. Buelow/J. Neubueser/H. Wondratschek/hans zassenhaus Crystallographicgroups of four-dimensional space. hans zassenhaus What is an angle? Am.
http://felix.unife.it/Root/d-Mathematics/d-Groups-and-semigroups/b-Group-theory-
M. Armstrong: Groups and symmetry. Springer 1988. 180p. 3-540-96675-7. DM 72. 569 Martin Belger/Lothar Ehrenberg: Theorie und Anwendungen der Symmetriegruppen. Deutsch 1981. [Teubner 1988, 120p. 3-322-00464-3. DM 14.] H. Bigalke: Heinrich Heesch. Kristallgeometrie, Parkettierungen, Vierfarbenforschung. Birkhaeuser 1988, 320p. DM 78. 2332 Klaus Bongartz/Walter Borho/Detlef Mertens/Andreas Steins: Farbige Parkette. Birkhaeuser 1988. H. Brown/R. Buelow/J. Neubueser/H. Wondratschek/Hans Zassenhaus: Crystallographic groups of four-dimensional space. Wiley 1978. 2637 Johann Jakob Burckhardt: Die Symmetrie der Kristalle. Birkhaeuser 1988. Michael Field/Martin Golubitsky: Chaotische Symmetrien. Birkhaeuser 1993. [= Symmetry and chaos. Oxford UP.] 14271 Istvan Hargittai/Magdolna Hargittai: Symmetrie. Rowohlt 1998, 290p. DM 27. 4930 Michael Klemm: Symmetrien von Ornamenten und Kristallen. Springer 1982. 6231 J. Lomont: Applications of finite groups. Dover 1993, 350p. 0-486-67376-6. $10. 8578 Erhard Quaisser: Die Symmetriestruktur von Figuren. In 8567 Beutelspacher/, 147-161. 2604 Marjorie Senechal/Jean Taylor: Quasicrystals: The view from Les Houches. Math. Intell. 12/2 (1990), 54-64. 5730 Ian Stewart: Alle Jahre wieder bricht das Chaos aus. Spektrum 1993/12, 12-15. Wirklich schoene Bilder durch das Zusammenspiel von Symmetrie und Chaos. Ian Stewart/Martin Golubitsky: Denkt Gott symmetrisch? Birkhaeuser 1993. Hans Zassenhaus: What is an angle? Am. Math. Monthly 61 (1954), 369-378.

62. New And Used Math And Physics Textbooks For Sale.html
Zariski,Oscar Samuel, Pierre, Commutative Algebra, Vol 1,2, VN, 1958,zassenhaus, hans J, The Theory of Groups 2e 1958, Chelsea, 1949,58,2,
http://www.geocities.com/Eureka/Park/1637/p-z.html
Math Texts, by author, P-Z
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Paige and Swift Elements of Linear Algebra Blsdl Palmer, Claude I Practical Calculus for Home Study McG H Parzen, Emanuel JWiley Pedoe, Dan The Gentle Art of Mathematics MacM Percus, J K Combinatorial Methods, Vol 4 Springer Perlis, Sam Theory of Matrices Addison Wesley Perlis, Sam Intro to Algebra Ginn, Blaisd Pervin, William J Foundations of General Topology AP Petrovskiy, I G Ordinary Differential Equations tr 1966 PH Phillips, H. B. Vector Analysis JWiley Pierpont, James The Theory of Functions of Real Variables v1 Ginn Pierpont, James Functions of a Complex Variable Dover Piskunov, Nikolai Differential a Integral Calculus, V1,2 tr MIR Pitman, EJG Some Basic Theory for Statistical Inference H Jwly Pitt, Harry Raymond Integration, Measure and Probability Haffnr Pollard, Harry Theory of Algebraic Numbers Carus Complex Variables JWly Analysis I Dover Polya, G, Szego, G Aufgaben und Lehrsaetze aus der Analysis (hardbd) Dovr Polya, George Patterns of Plausible Inference V 2 Princ Polya, George

63. Teubner Online
Translate this page Jacobs, K., Burmann, HW, Günzler, H., Holdgrün, HS Wilhelm Maak 1912-1992,96, 76-84 (1994). Plesken, W. hans zassenhaus 1912-1991, 96, 1-20 (1994).
http://www.teubner.de/teubner/service/b93-96_dmv.htm

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Autor Titel ISBN Stichwort Jahresbericht der Deutschen Mathematiker-Vereinigung Register der Bände Aigner, M., Lenz, H., Deuber, W. : Richard Rado 1906-1989 Deuber, W., Lenz, H., Aigner, M. : Richard Rado 1906-1989 Felix, R. : Darstellungstheorie nilpotenter Lie-Gruppen. Ein distributionentheoretischer Zugang Lange, H. : Projective Embeddings of Abelian Varieties Lenz, H., Aigner, M., Deuber, W. : Richard Rado 1906-1989 Mazzola, G. : Mathematische Musiktheorie: Status quo 1990 Remmert, R. : Karl Stein, Träger der ersten Cantor-Medaille Schwermer, J. : Räumliche Anschauung und Minima positiv definiter quadratischer Formen Tobies, R.

64. Www.math.wisc.edu/~hans/olga
There was a session of the Mathematical Association of America in memoryof Emil Artin whose speakers were hans zassenhaus and Helmut Hasse.
http://www.math.wisc.edu/~hans/olga

65. Publication List
38. (with Surinder Sehgal and hans zassenhaus). Isomorphism of integralgroup rings of abeian by nilpotent class two groups. Comm.
http://www.math.ualberta.ca/Sehgal_publications.html
Publication List On P. Hall's generalization of a theorem of Frobenius. Proc. Glasgow Math. Assoc. Ringoids with minimum condition. Math. Z. On the isomorphism of group algebras. Math. Z. On the isomorphism of integral groups rings, I. Canad J. Math. On the isomorphism of integral groups rings, II. Canad. J. Math. Units in commutative integral group rings. Math. J. Okayama Univ. Isomorphism of p-adic group rings. J. Number Theory. On class sums in p-adic group rings. Canad J. Math. (with I.B.S. Passi). Isomorphism of modular group algebras. Math. Z. (with P. Dubois). Another proof of the invariance of Ulm's functions in commutative modular group rings. Math. J. Okayama Univ. Lie properties in modular group algebras. Proc. Conference on group rings and related topics , O.S.U. (1972): Springer-Verlag. (with M. Parmenter and I.B.S. Passi). Polynomial ideals in group rings. Canad. J. Math. (with M. Parmenter). Uniqueness of the coefficient ring in some group rings. Canad Math. Bull (with M. Parmenter). Idempotent elements and ideals in group rings and the intersection theorem. Arch. Math.

66. Dover Books: Algebra
Wilkinson, James H. Link to Wilkinson, James H. Rounding Errors In AlgebraicProcesses to Book, zassenhaus, hans J. The Theory Of Groups.
http://www.fldstone.com/DVMAT_AL.HTM
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Dixon, John D.
Eves, Howard

67. SUB Göttingen - Projektbeschreibung Katalogisierung Von Mathematikernachlässen
Translate this page Wilhelm Maier, Carl Ludwig Siegel und Ludwig Kiepert erworben werden und mit Unterstützungder DFG aus den USA der umfangreiche Nachlaß hans zassenhaus.
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68. Veröffentlichungen Von Universitätsangehörigen
Science SpringerVerlag, Berlin und Heidelberg 1996 ; 1122) - Group Theory, Algebra,and Number Theory Colloquium in Memory of hans zassenhaus held in
http://www.uni-saarland.de/z-einr/ub/uni-veroeff/B96/f9.htm
Jahresbibliographie 1996
FB 9 - Mathematik Albrecht, Ernst
- u.a.: Local spectral properties of certain matrix differential operators in L^p(R^N)^m. - In: Journal of Operator Theory. - 35 (1996), S. 3-37 Berger, Robert W.
- Prefinite Differential Modules. - In: Annales Universitatis Saraviensis : Series Mathematicae. - 7 (1996), 2, S. 37-49 Cornelissen, Gunther
- u.a.: Multipliers with natural local spectra on commutative Banach algebras. - In: Journal of Functional Analysis. - 138 (1996), 2, S. 273-294 - u.a.: Spectral decompositions and analytic sheaves. - Oxford : OUP, 1996. - 362 S. - (London Mathematical Society Monograph Series ; 10) Gekeler, Ernst-Ulrich
Louis, Alfred Karl
- Approximate Inverse for Linear and Some Nonlinear Problems. - In: Inverse Problems. - 12 (1996), 1, S. 175-190 - (Hrsg.): Computing - (Hrsg.): Documenta Mathematica - u.a.: EEG Signal Analysis by Continuous Wavelet Transform Techniques. - In: Nonlinear Techniques in Physiological Time Series Techniques / Ed.: Kuntz, H. .. - Berlin : Springer, 1996 - (Hrsg.): IEEE Transactions on Medical Imaging - (Hrsg.): Inverse Problems - u.a. (Hrsg.): Inverse Problems in Geophysical Applications. - Philadelphia , PA: SIAM, 1996 - u.a. (Hrsg.): Inverse Problems in Medical Imaging and Nondistructive Testing. - Wien : Springer, 1977. - 211 S. - u.a.: A novel filter design technique in 2D computerized tomography. - In: Inverse Problems. - 12 (1996), 5, S. 685-696 Rieder, Andreas

69. Lineage
Translate this page hans zassenhaus, PhD, Universität Hamburg (1934) Dissertation KennzeichnungEndlicher Linearer Gruppen als Permutations-Gruppen.
http://www.math.uwo.ca/~driley/riley-lineage.html
My Mathematical Lineage
David Riley , PhD, University of Alberta (1991)
Dissertation: On Nilpotence and Dimension in Group Rings Sudarshan Sehgal , PhD, University of Notre Dame (1962)
Dissertation: On Structure and Representations of Ringoids Hans Zassenhaus
Dissertation: Kennzeichnung Endlicher Linearer Gruppen als Permutations-Gruppen Emil Artin
Dissertation: Gustav Herglotz
Dissertation: Ludwig Boltzmann Josef Stefan Back

70. - Rec.food.equipment
Arturo. 08.02. Re zassenhaus pepper mills. Village Idiot. 07.02. Recent Lunch (0/4). VoxHumana. 05.02. Re Cookie press for flat noodles? HW hans Kuntze. 05.02.
http://www.kuchnia.serwisy.net/news/thread.php/rec.food.equipment/1_50.html

71. Mathem_abbrev
of Chalcedon Yates Frank Yau, ShingTung Yoccoz, Jean-Christophe Yunus, Abu'l-Hasanibn Yushkevich, Adolph, Zariski, Oscar zassenhaus, hans Zeeman, Erik Zelmanov
http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm
Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive.
Some suggestions on the historical perspective might be:
(a) Any wars etc.
(b) Scientific breakthroughs of the time
(c) Major discoveries of the time
(d) How did this mathematician change history etc.

72. New College Of Florida
The conference continues a series of meetings launched in the 1960sat Ohio State/Denison University by hans zassenhaus. The two
http://www.ncf.edu/PublicAffairs/Documents/archives/Zassenhaus Math Conference.h
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Group gathers for Group Theory It’s not everyone who cares to brush up on topics like this one: "The classification of metacyclic 2-groups and 2-generator 2-groups of nilpotency class two according to their power structure." But for mathematicians attending the Zassenhaus Group Theory Conference at New College this past January, that’s the kind of title that kept them on the edge of their seats. The four-day annual gathering was previously held at New College in 1997 and returned this year with the aid of Professor of Mathematics, Dr. Eirini Poimenidou. Twenty-seven speakers presented their most recent and mostly unpublished work on group theory. The conference continues a series of meetings launched in the 1960s at Ohio State/Denison University by Hans Zassenhaus. The two schools continue to share hosting duties, but other universities host the forum in alternate years. For information, call Eirini Poimenidou at 941-359-4379. Click Here to return to the New College Events Homepage.

73. NorgesLexi - Norsk Politisk Dokumentasjon På Internett!
Han og hans folk fortsatte arbeidet, men det utviklet seg snart til en BN zassenhaus,Hiltgunt (1916—), født i Hamburg, tolk for de norske sjømannsprestene
http://www.norgeslexi.com/krigslex/x-y-z/x-z.html
...side W2 X-Z side Æ... Meny XU. Den største hemmelige etterretningsorganisasjonen i det okkuperte Norge, med kontakt til den norske utefronten i Stockholm (Mi II) og London (FO II) via kurer, post eller radio. XU gjorde en stor innsats når det gjaldt å kartlegge Festung Norwegen. Opprinnelsen til navnet vites ikke sikkert, men det står trolig for " X for U kjent".
Det første initiativ til XU ble tatt allerede våren 1940, da ingeniør Arvid Storsveen foreslo for Den norske legasjonen i Stockholm at man skulle opprette en hemmelig etterretningsorganisasjon bak tyskernes linjer. Først i juli fikk han i stand en avtale og begynte å rekruttere folk, først og fremst blant realiststudentene ved Universitetet i Oslo.
Omtrent samtidig begynte yrkesoffiserer å planlegge en liknende organisasjon i forbindelse med det tidlige milorg. Kaptein Eivind Otto Hjelle var sentral i denne gruppen, som fikk kontakt med studentgruppen ved årsskiftet 1940—41 og innledet et samarbeid. Lokale kontakter ble opprettet rundt om i landet og innenfor NSB, veivesenet og politiet. Kart, fotografier og rapporter om tyskerne og deres befestninger ble sendt til Stockholm, først med flyktninger, siden med egne kurerer. Sjef for kurértjenesten var Ivan Rosenquist.
Høsten 1941 måtte Hjelle flykte, og Storsveen benyttet anledningen til å skille XU fra Milorg for å øke sikkerheten i arbeidet. Nå var Storsveen ubestridt sjef for XU i Norge, og ved Stockholm-legasjonens militærkontor var Ørnulf Dahl den faste kontakten. XU var nå en fast organisasjon med arbeidsfordeling: Brynjulf Ottar var nettsjef for de innenlandske rutene, Otto Øgrim var «sjeffotograf». Andre sentrale personer i Oslo-ledelsen var Eilif Dahl og Øistein Strømnæs.

74. Menschen Und Orden - Personenindex
Translate this page N. Nadler, hans, Sächsischer Verdienstorden. Nagel-Hustede, Heike, Sportplakettedes Landes Hessen. Z. zassenhaus, Hiltgunt, Ehrendenkmünze, Hamburg.
http://www.hdg.de/Final/deu/page3175.htm
Personenindex
A B C D ... Z Name Auszeichnung A
Abs, Hermann Josef

Hessischer Verdienstorden
Achtzehn, Werner

Ehrennadel des Ministerpräsidenten des Landes Sachsen-Anhalt
Adenauer, Konrad

Bayerischer Verdienstorden
Ahlers-Hestermann, Friedrich

Medaille für treue Arbeit im Dienste des Volkes Silber, Hamburg
Algner, Estrid

Thüringer Rose Altekrüger, Otto Sportverdienstnadel, Schleswig-Holstein Alter, Charles Joseph Großes Verdienstkreuz mit Stern und Schulterband, Bundesrepublik Deutschland Ambesser, Axel von Bayerischer Maximiliansorden für Wissenschaft und Kunst Andrae, Heinrich Niedersächsisches Verdienstkreuz 1. Klasse Ankerstein, Hilmar Verdienstorden des Landes Nordrhein-Westfalen B Bach, Hedwig Ehrenzeichen des Bayerischen Ministerpräsidenten für Verdienste von im Ehrenamt tätigen Frauen und Männern Bachmann, Roman Ehrenzeichen des Bayerischen Ministerpräsidenten für Verdienste von im Ehrenamt tätigen Frauen und Männern Bader, Maria Ehrennadel, Baden-Württemberg Bachmayer, Emma Verdienstkreuz am Bande, Bundesrepublik Deutschland Battran, Siegrid

75. History Of The Northeastern Section Of The MAA
and mathematics teachers as Dirk Struik of MIT;David Widder,Garrett Birchoff,RalphBeatley,Richard Brauer,and Howard Raiffa of Harvard;hans zassenhaus at that
http://www.southernct.edu/organizations/nesmaa/history.html
A BRIEF HISTORY OF THE NORTHEASTERN SECTION OF THE MATHEMATICAL ASSOCIATION OF AMERICA Introduction Dan Christie Howard Eves The 1950's ... The 1980's The authors of sections are listed at the end of the their respective sections. Most, if not all, of this material has appeared in past copies of the Section newsletter. We hope to add to this material over the next year. INTRODUCTION The Northeastern Section of the MAA was inaugurated on November 26, 1955 at a meeting attended by more than seventy people and hosted by the University of New Hampshire. The name originally proposed was the New England Section but the name Northeastern Section was adopted to emphasize that not only New England but also the Maritime Provinces would be represented in the Section. Although most meetings have been in New England, Mount Allison University in Sackville, New Brunswick hosted a memorable summer meeting in 1967. The list of speakers in the early years included such famous mathematicians and mathematics teachers as Dirk Struik of MIT; David Widder

76. Laudatio
Translate this page hans Wondratschek ist ein echter Rheinländer. Buch, das von den Autoren H. Brown,R. Bülow, J. Neubüser, H. Wondratschek und H. zassenhaus verfasst worden
http://www.kristall.ethz.ch/DGK/mitteilungen/mit-22/Laudatio_Wondratschek.htm
Prof. Dr. Hans Wondratschek Sehr verehrte und liebe Frau Wondratschek, lieber Herr Wondratschek, Herr Vorsitzender, meine sehr geehrten Damen und Herren! Carl Hermann International Tables Acta Crystallographica, Section A The application of Hermann's group M in group-subgroup relations between space groups Liebe Frau Wondratschek Hans Wondratschek ist ein echter Rheinländer. Das gilt nicht nur wegen seines Geburtsortes Bonn, wo er auch studierte, sondern sogar in dem Sinne, dass er immer nur an diesem Fluss gelebt und gearbeitet hat, wobei man allerdings zur Absicherung der Aussage die Nebenflüsse Main, Limmat und Neckar im Sinne von "Untergruppen" dazurechnen muss und Forschungsaufenthalte in England und in den Vereinigten Staaten sowie ausgedehnte Reisen in die ganze Welt nur als "Nullmenge" werten kann. Physik Chemie und Mathematik , Promotion zum Dr. rer. nat. mit einer Dissertation im Fach Mineralogie Obwohl Sie, lieber Herr Wondratschek, recht verschiedene Forschungsgebiete erfolgreich bearbeitet haben, ich erinnere nochmals an die Pyromorphite, die Sie gemeinsam mit

77. Construction Of Commutative Diagrams
grid. For example, the proof of zassenhaus's Butterfly Lemma can beillustrated by the diagram (appearing in Lang's book Algebra ).
http://sunland.gsfc.nasa.gov/info/eplain/Construction_of_commutative_diagrams.ht
Expanded Plain TeX
5.2.2: Construction of commutative diagrams
There are two approaches to the construction of commutative diagrams described here. The first approach, and the simplest, treats commutative diagrams like fancy matrices, as Knuth does in Exercise 18.46 of The TeXbook . This case is covered by the macro , which is an altered version of the Plain TeX macro . An example suffices to demonstrate this macro. The following commutative diagram (illustrating the covering homotopy property; Bott and Tu, Differential Forms in Algebraic Topology (A commutative diagram appears here in the printed output.) is produced with the code
Of course, the parameters may be changed to produce a different effect. The following commutative diagram (illustrating the universal mapping property; Warner, Foundations of Differentiable Manifolds and Lie Groups (A commutative diagram appears here in the printed output.) is produced with the code
A diagram containing isosceles triangles is achieved by placing the apex of the triangle in the center column, as shown in the example (illustrating all constant minimal realizations of a linear system; Brockett, Finite Dimensional Linear Systems (A commutative diagram appears here in the printed output.)

78. Research
That autumn, at McGill University, I met a very different kind of mathematical animalHans zassenhaus, who could talk rings around any ring theorist, and in
http://www.math.ubc.ca/~hoek/Research/research.html
My Research Story
Like Ludwig van Beethoven's, my creative life falls into three periods, but unlike his, my middle one was perfectly fallow : an unsightly hiatus mars my list of publications in the seventies, the hippie decade. Rather than trying your patience with some unlikely explanation for this shameful blot on my escutcheon, I shall concentrate on outlining the contents of the first and third periods. Roughly speaking, the former is abstract and theoretical, delighting in concepts and valuing form over substance, while the latter is concrete and computational, using modest tools and preferring ugly facts to shapely froth. This points to a second difference between Ludwig and myself : while he stubbornly followed his genius, I found nothing better to follow than the fashion of the day. In the 1950's the accepted wisdom was that mathematics was a deductive science based on axioms. Here at UBC (where I started and ended my career), there were still some dinosaurs who took pride in not knowing what a Banach algebra was, but the in-crowd cultivated general topology and ring theory. Robert Langlands, a fellow student, occasionally liked to organise informal seminars to plough through something he wanted to learn. In the summer of 57 he had chosen Jabobson's new book on the structure of rings just my cup of tea. (To be continued)

79. Department Of Molecular Microbiology And Immunology ::H. Peter Zassenhaus, Ph.D.
H. Peter zassenhaus, Ph.D Professor Ph.D., Ohio State University Columbus, 1979zassenp@slu.edu, Margossian, SP, Li, HL, zassenhaus, HP, and Butow, RA (1996).
http://medschool.slu.edu/mmi/new/fac/zassenhaus.phtml
Sunday,March 30, 2003 H. Peter Zassenhaus, Ph.D
Professor
Ph.D., Ohio State University -
Columbus, 1979
zassenp@slu.edu
Lab Research Honors ... Students Figure 1 Figure 2 The top mouse is a 6 week old transgenic in congestive heart failure. The bottom mouse is his normal brother Three transgenic mice with dilated cardiomyopathy. Note that the hearts look like blown up balloons. Figure 3 The Jewel of the Nile. The right heart was removed from a 6 month old transgenic mouse; the one on the left is from a same aged control littermate. Note the enlarged atria the rabbit ears. The ventricles are also enlarged. Research Summary: We are testing the above scenario by studies of transgenic mouse models for mitochondrial based disease. We have created a transgenic mouse, which rapidly accumulates mutations only in the mitochondrial DNA of the heart. Figure 1 shows one of these mice next to a control littermate at about 6 weeks of age. These mice develop cardiac disease early in life, which often is manifested as congestive heart failure. At the time this mouse developed severe heart failure, its cardiac mitochondria had a frequency of mitochondrial DNA mutations that would normally be found in an 80-year-old person. Thus, these mice have old mitochondria in a young body. As mutation frequencies rise, their hearts dilate in order to maintain cardiac performance Figure 2.

80. H. Cohen A Course In Computational Algebraic Number Theory
Translate this page Die Pioniere der ''Computational Algebraic Number Theory'' wie hans Zassenhaushaben schon immer verlangt, die theoretischen Resultate der Algebraischen
http://www.uni-karlsruhe.de/~CAIS/CAR/CAR14/node21.html
Next: J.S. DevittCalculus Up: Previous:
H. Cohen: A Course in Computational Algebraic Number Theory
H. Cohen: A Course in Computational Algebraic Number Theory 1993, ISBN 3-540-55640-0, Grad. Texts in Math., Springer-Verlag, Berlin-Heidelberg-New York, DM 88..
L Q und C , Hilbertsche und Webersche Klassenpolynome).
Den Anwendungen gelten die letzten drei Kapitel, und zwar Kapitel 8 der Faktorisierung von Zahlen und den Primzahltests in ''the dark ages'' (Pocklington-Lehmerscher (N-1)-Test, Pollard's rho-Methode, Verfahren von Shanks und die (p-1)-Methode), Kapitel 9 den Primzahltests (mittels Jacobisummen oder elliptischer Kuven, Goldwasser-Kilian-Atkin) und Kapitel 10 der Faktorisierung (Kettenbruchmethode, Klassengruppenverfahren, Methode der elliptischen Kurven nach Lenstra, quadratisches Sieb, zahlentheoretisches Sieb) jeweils in ''modern times''.
Der Stoff erstreckt sich durchaus auf Teile der Zahlentheorie und Algebra, die nicht
Next: J.S. DevittCalculus Up: Previous:
Ulrich Schwardmann
Fri Sep 22 12:20:21 MET DST 1995

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