21. From Dlrenfro@gateway.net (Dave L. Renfro) Subject HISTORICAL 10 paul du boisreymond, Versuch einer classification der willkurlichenfunctionen reeler argumente nach ihren aenderungen in den kleinsten intervallen , http://www.math.niu.edu/~rusin/known-math/00_incoming/deriv_cont

From: dlrenfro@gateway.net (Dave L. Renfro) Subject: HISTORICAL ESSAY ON CONTINUITY OF DERIVATIVES Date: 23 Jan 2000 14:59:47 -0500 Newsgroups: sci.math Summary: [missing] Recently in sci.math a question having to do with discontinuities of derivatives was asked. This issue seems to arise often in math newsgroups. Since I didn't feel like grading the two stacks of quizzes I have next to me today (it's Saturdaythe quizzes can wait until tomorrow), I decided to write a short historical survey on the continuity of derivatives. I. INTRODUCTION. As Zdislav V. Kovarik pointed out in [sci.math 21 Jan 2000 02:50:02 -0500] < f'(x) < t

22. Du Bois-Reymond Translate this page du bois-reymond paul David Gustav, allemand, 1831-1889. paul du bois-reymond nedoit pas être confondu avec son frère Emil (1818-1896), http://serge.mehl.free.fr/chrono/DuboisReym.html

Du Bois-Reymond Paul David Gustav, allemand, 1831-1889 , ce qui le conduit tout naturellement à l'étude d'équations différentielles et aux dérivées partielles, donc à leurs solutions exprimées sous la forme de séries entières ou trigonométriques, le calcul des variations ( ), les (on lui doit le terme) et le Heidelberg Après les travaux de Dirichlet sur les conditions de convergence et dans l'étonnement général, du Bois-Reymond exhibe (1876) une fonction numérique pathologique qui, bien que continue, voit sa série de Fourier diverger en (au voisinage duquel elle oscille). Du Bois-Reymond prouva qu'une série trigonométrique qui converge vers une fonction continue est la série de Fourier Fourier Hilbert L Constantes de du Bois-Reymond : source : Les nombres remarquables, françois Le Lionnais - Ed. Hermann, Paris, 1983- Rééd 1994 Nombres C n Le nombre C s'exprime en fonction de e = exp(1) Dedekind Si la série S a n S( b n+1 - b n est absolument convergente S a n b n est convergente. Critère d'Abel Dedekind Maxwell

23. Third Annual Early Analytic Philosophy Conference On the Prehistory of Mathematical Incompleteness paul du boisreymond DC McCartyAbstract paul du bois-reymond was a significant mathematician and http://web.ics.purdue.edu/~cpincock/eap-abstracts.htm

Third Annual Early Analytic Philosophy Conference Purdue University April 9-10, 2004 Carnap's Dream: Wittgenstein, Gödel, and Logical Syntax André Carus (Chicago) Abstract : In January 1931 Rudolf Carnap had a "vision" during a sleepless night. Years later, in his autobiography, he reports that "the whole theory of language structure and its possible applications in philosophy" became clear to him, in a flash, and he wrote it all down in shorthand the next day. He gave these notes the title "Attempt at a Metalogic". They became the germ of Logical Syntax of Language , he tells us. But wherein did this momentous insight actually consist? What was that "germ"? Using Carnap's shorthand manuscript of the "Attempt at a Metalogic", and other notes from this period, we try to answer this question. The punch line, somewhat oversimplified, is this: Carnap uses Gödel's then-recent logical discoveries to overcome the conception of meaning he had derived from Wittgenstein's Tractatus, and which had turned out to be incompatible with other Vienna Circle goals. The "vision" was Carnap's liberation from the notion of meaning. This is joint work with Steve Awodey. Quine and Carnap on Truth by Convention Gary Ebbs (Illinois) Abstract : My goal in this paper is to explain why Quine believed that his criticisms of the thesis that logic is true by convention shed light on what is wrong with Carnap's conception of logic, even though Quine knew that Carnap was not committed to that thesis. I argue that Quine was led by a principle of interpretive charity to search for some way to view Carnap's contributions to logic as part of natural science. Quine viewed the thesis that logic is true by convention as an initially plausible but ultimately empty attempt to show how logic makes an explanatory contribution to science, and so he thought it both charitable and illuminating to see Carnap's explications of logical truth as attempts to explain logical truth in terms of conventions we adopt for using our words. Carnap's official characterization of logic is not even initially plausible according to Quine, because it was expressly designed to yield "logical truths" that make no explanatory contribution to natural science.

24. Du Bois-Reymond, Emil - Columbia Encyclopedia® Article About Du Bois-Reymond, E Information about du boisreymond, Emil in the Columbia Encyclopedia®. du Chaillu, paul Belloni du Deffand, Marie de Vichy-Chamrond, marquise http://columbia.thefreedictionary.com/Du Bois-Reymond, Emil

Domain='thefreedictionary.com' word='Du Bois-Reymond, Emil' join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia Du Bois-Reymond, Emil 0.02 sec. Page tools Printer friendly Cite / link Email Feedback Du Bois-Reymond, Emil Mentioned in References in classic literature No references found No references found Columbia browser Full browser Du Bartas, Guillaume de Salluste Du Bellay, Guillaume Du Bellay, Jean Du Bellay, Joachim ... Du Bois, W. E. B. Du Bois-Reymond, Emil Du Cange, Charles du Fresne, sieur Du Cerceau Du Chaillu, Paul Belloni Du Deffand, Marie de Vichy-Chamrond, marquise ... Du Bois, W. E. B. Du Bois-Reymond, Emil Du Bois-Reymond, Emil Heinrich Du Bos, Charles Du Cange Du Cange, Charles du Fresne, sieur ... Du Lhut, Daniel Greysolon, sieur Word (phrase): Word Starts with Ends with Definition Free Tools: For surfers: Browser extension Word of the Day NEW!

25. Lakatos Collection Authors D-G du boisreymond, paul, 1831-1889. Allgemeine Functionentheorie. 1 T. Metaphysik undTheorie der mathematischen Grundbegriffe Grösse, Grenze, Argument und http://library-2.lse.ac.uk/collections/lakatos/lakatos_d.htm

Home Help Search Index ... LSEforYou You are here - Welcome to LSE Library What's in the Library? Electronic Library Lakatos Collection Authors D-G D'Abro, A. Evolution of scientific thought : from Newton to Einstein / by A. d'Abro. 2nd ed., rev. and enl. New York : Dover Publications, 1950. ISBN 0486200027 (pbk.) : . QC6 A16 LAK. Normal loan Dampier, William Cecil Dampier, Sir, 1867-1952 History of science and its relations with philosophy and religion / Sir William Cecil Dampier Dampier. 4th ed. Cambridge : Cambridge University Press, 1948. Q125 D16 LAK. Normal loan Dampier, William Cecil Dampier, Sir, 1867-1952 History pf science : and its relations with philosophy and religion / by Sir William Cecil Dampier. 3rd ed., rev. and enlarged. Camridge : University press, 1946. Q125 D16 LAK. Normal loan Danto, Arthur Coleman, 1924- Analytical philosophy of knowledge / by Arthur C. Danto. Cambridge : University Press, 1968. ISBN 0521072662: . BD161 D19 LAK. Normal loan Dantzig, Tobias. Henri Poincaré, critic of crisis: reflections on his universe of discourse / Tobias Dantzig. London : Scribner, 1954. (Twentieth century library). Q143.P7 D19 LAK. Normal loan

26. Paul Du Bois-Reymond Université Montpellier II Translate this page paul du bois-reymond (1831-1889). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1071

27. Émilie Du Châtelet Université Montpellier II paul Bachmann paul Bernays paul Cohen paul Cohn paul Dirac paul du bois-reymond paul dubreil paul Ehrenfest paul Epstein http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=961

28. User:Gerritholl/mathematicians - Wikipedia, The Free Encyclopedia paul du boisreymond - Patrick du Val - Francisco duarte - paul dubreil Julio Rey Pastor - Theodor Reye - paul du Bois- Reymond - Antoine-André http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$130,000 has been donated since the drive began on 19 August. Thank you for your generosity! User:Gerritholl/mathematicians From Wikipedia, the free encyclopedia. User:Gerritholl edit Mathematicians Ernst Abbe Niels Henrik Abel Abraham bar Hiyya Max Abraham ... Antoni Zygmund Retrieved from " http://en.wikipedia.org/wiki/User:Gerritholl/mathematicians Views User page Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 01:33, 19 August 2005. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

29. Articles - Emil Du Bois-Reymond also in terms of the ignorabimus, to which he give common currency.The mathematician paul David Gustav du boisreymond (1831-1889) was his brother. http://www.1-electric.com/articles/Emil_du_Bois-Reymond

Home Electric Scooters Wheelchairs Lifts Emil du Bois-Reymond (b. November 7 Berlin Germany ; d. November 26 ), was a German physician and physiologist , discoverer of the nerve action potential and the father of experimental electrophysiology Life The Prussian scientists ; yet he was not of German ascent. His father originated from Neuch¢tel Switzerland , his mother was of French Huguenot descent, and he spoke of himself as "being of pure Celtic blood." Educated first at the French College in Berlin, then at Neuch¢tel, where his father had returned, he entered in 1836 the University of Berlin . He seems to have been uncertain at first as to the bent of his studies, for he sat at the feet of the great ecclesiastical historian August Neander , and dallied with geology ; but eventually he threw himself into the study of medicine , with such zeal and success as to attract the notice of the great teacher of anatomy and physiology , who was then making Berlin famous as a school for the sciences ancillary to medicine, Johannes Peter M¼ller M¼ller is rightly regarded as the central figure in the history of modern physiology , in the 19th century . His earlier studies had been distinctly physiological; but his inclination, no less than his position as professor of

30. Cornell Univeristy Mathematics Library du boisreymond, paul, Beitrage zur Interpretation der Partiellen Differentialgleichungenmit ,1864, 280. du bois-reymond, paul http://www.library.cornell.edu/math/reformatdef.php

Catalog Library Gateway Articles Databases ... ASTech Reformatted Books: D E F Available for purchase from the Mathematics Library D [On to E] [Back to Top] Author Title # of images Darboux, Gaston "Lecons sur les Systemes Orthogonaux et les Coordonnees Curvilignes",1910 Darboux, Gaston "Principes de Geometrie Analytique",1917 Darboux, Gaston "Sur une Classe Remarquable de Courbes et de Surfaces Algebriques et sur la Theorie ...",1896 Davies, Charles "Elements of Descriptive Geometry, With Their Application to Spherical Trigonometry...",1859 De Morgan, Augustus "Elementary Illustrations of the Differential and Integral Calculus",1909 Delassus, Etienne "Lecons sur la Theorie Analytique des Equations aux Derivees Partielles du 1er Ordre",1897 Deruyts, Jacques "Essai d'une Theorie Generale des Formes Algebriques",1891 Descartes, Rene "Geometrie de Rene Descartes",1886 Despeyrous, Theodore "Memoire sur les Equations Resolubles Algebriquement",1887

31. Tom Archibald As for the first of the two correspondents, paul du boisreymond (1831-1889) wasborn in Berlin, and studied there. His father was a self-made Prussian http://cis.alma.unibo.it/NewsLetter/111998Nw/archibald.htm

German mathematics in France. The role of Charles Hermite by Tom Archibald Introduction Explaining the attainment of dominance by German pure-mathematical values, even enunciating what they are, is a complex task. In the German-French context following the Franco-Prussian War, we might be tempted to make the analogy with the post-World-War-II ascendancy of American cultural styles in, for example, Germany. Yet, looking at France in the 1870s and 1880s, we do not see German dominance in other cultural realms such as literature, art, and music, indeed far from it. Thus the specific situation in mathematics calls for some specific factors in that area which give a unique importance to the value of understanding and appreciating German work, and which facilitate its assimilation and transmission. Motives of Hermite in promoting German mathematical values in France The urgency that Hermite felt to engage in his role as interpreter of German work was intimately linked to his view of social conditions in France following the Franco-Prussian War. In particular, his efforts were connected on the one hand to his ideal of an international quasi-aristocratic elite of scientists and savants living in gentlemanly harmony, and on the other to his concerns about the consequences for France of continued repudiation of the Germans. The fact that many mathematicians at the end of the nineteenth century saw themselves almost as aristocrats is easy to forget. Recent studies, in particular those of Christophe Charle, provide a sociological picture of this group, and make it clear that indeed successful professors are among the

32. Planck His colleagues and friends included Emil du boisreymond (the famous physiologistand brother of paul du bois-reymond), Helmholtz, Pringsheim, Wien, http://zyx.org/Planck.html

Max Karl Ernst Ludwig Planck Born: 23 April 1858 in Kiel, Schleswig-Holstein, Germany Died: Max Planck Justifiably favoured by both teachers and classmates ... and despite having childish ways, he has a very clear, logical mind. Shows great promise. In July 1874, at the age of 16, he passed his school leaving examination with distinction but, having talents for a wide variety of subjects particularly music (he played piano and organ extremely well), he still did not have a clear idea of what he should to study at university. Before he began his studies at the University of Munich he discussed the possibility of a musical career with a musician who told him that if he had to ask the question he'd better study something else. He entered the University of Munich on 21 October 1874 and was taught physics by Philipp von Jolly and Wilhelm Beetz, and mathematics by Ludwig Seidel and Gustav Bauer. After taking mostly mathematics classes at the start of his course, he enquired about the prospects of research in physics from Philipp von Jolly, the professor of physics at Munich, and was told that physics was essentially a complete science with little prospect of further developments. Fortunately Planck decided to study physics despite the bleak future for research that was presented to him. In [7] Planck describes why he chose physics:- The outside world is something independent from man, something absolute, and the quest for the laws which apply to this absolute appeared to me as the most sublime scientific pursuit in life.

33. Elementary Function -- From MathWorld Hardy, GH Orders of Infinity, the infinitarcalcul of paul du boisreymond, 2nd ed.Cambridge, England Cambridge University Press, 1924. http://mathworld.wolfram.com/ElementaryFunction.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Calculus and Analysis Functions Calculus and Analysis ... Miscellaneous Special Functions Elementary Function A function built up of a finite combination of constant functions, field operations ( addition multiplication division , and root extractions the elementary operations )and algebraic, exponential, and logarithmic functions and their inverses under repeated compositions (Shanks 1993, p. 145; Chow 1999). Among the simplest elementary functions are the logarithm exponential function (including the hyperbolic functions power function, and trigonometric functions Following Liouville (1837, 1838, 1839), Watson (1966, p. 111) defines the elementary transcendental functions as and lets , etc. Not all functions are elementary. For example, the normal distribution function is a notorious example of a nonelementary function, where is erf (sometimes known as the error function). The

34. Physiological Foundations Of Psychology Dr. Emil du Bois Reymond Emil du boisreymond Emil du bois-reymond Dr.paul Broca (1824-1880) paul Pierre Broca paul Broca Pierre paul Broca http://faculty.colostate-pueblo.edu/paul.kulkosky/physiological.htm

Back to topics page Physiological Foundations of Psychology Malaspina.com - Thomas Samuel Kuhn (1922-1996) Guide to Thomas Kuhn's The Structure of Scientific Revolutions Thomas Kuhn Thomas Kuhn ... Travis Thompson

35. Abstracts 2004-2005 paul du boisreymond was a noted mathematician and philosopher of the second halfof the 19th Century, publishing on differential equations, analysis and http://www.math.uu.nl/people/jvoosten/abstracts0405.html

September 10 Alexander Leitsch : CERES: Cut-Elimination by Resolution. Abstract: We present a cut-elimination method for Gentzen's LK which is based on the resolution calculus. The first step consists in a structural analysis of a proof P of a sequent S and the extraction of a clause term X(P). X(P) encodes an abstract structure of the derivations of cut formulas and represents an unsatisfiable set of clauses C(P). A resolution refutation R of C(P) then serves as a skeleton of an LK-proof P' of S with only atomic cuts. P' itself can be obtained from the resolution refutation R via so-called projections of the proof P w.r.t. the clauses in C(P). The main algorithmic advantage of this method, called CERES, lies in the integration of efficient theorem provers (constructing the resolution refutation R). Moreover the clause term of the proof paves the way for an algebraic analysis and a mathematical comparison of cut-elimination methods. E.g. it can be shown that CERES asymptotically outperforms a large class of ``traditional'' cut-elimination methods including this of Gentzen. To main page September 24 : Minimal belief revision leads to backward induction.

36. New Acquisitions: LC Class "Q" Author du boisreymond, paul, 1831-1889. Title Die allgemeine Functionentheorie 1 Theil. Metaphysik und Theorie der mathematischen Grundbegriffe Grösse http://www.library.ohiou.edu/libinfo/news/2005-01/q.htm

Library News:New Acquisitions Lists January 2005 Library of Congress Class Q: Science New Acquisitions Main Menu January 2005 Menu Page Jump to beginning of list Q Science (General) QA Mathematics Computers QB Astronomy QC Physics QD Chemistry QE Geology QH Natural history (General) QK Botany QL Zoology QM Human anatomy QP Physiology QR Microbiology Finding Locations of Items on This List To find the Location and current Status of an item on the list below, just copy its Call Number, Author, or Title into the search box. Then choose the appropriate type of search and click on the Search button. Choose a type of search: Call Number Author Title Call Number: Q11 .N5 v.1025. Title: Current status of drug dependence/abuse studies : cellular and molecular mechanisms of drugs of abuse and neurotoxicity / edited by Syed F. Ali, Toshitaka Nabeshima, and Tomoji Yanagita. Publication Info: New York, N.Y. : New York Academy of Sciences, c2004. Call Number: Q11 .N5 v.1026.

37. Full Alphabetical Index Translate this page bois-reymond, paul du (137*) Boislaurent, Budan de (171) Boltzmann, Ludwig (1135*)Bolyai, Farkas (160*) Bolyai, János (450*) Bolza, Oskar (459*) 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*)

38. References Orders of Infinity, The ``infinitärcalcül of paul du boisreymond. Vol. 12 ofCambridge Tracts in Math. Mathematical Physics. Cambridge University Press http://www.uncg.edu/mat/avg/avgcomp/node23.html

Next: About this document Up: Average-Case Computational Complexity Theory Previous: A Brief Survey References S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and hardness of approximation problems. In Proceedings of the 33rd Symposium on Foundations of Computer Science , IEEE Computer Society Press, pages 14-23, 1992. BW J. Belanger and J. Wang. No NP problems averaging over ranking of distributions are harder. Theoretical Computer Science , to appear. J. Belanger and J. Wang. Isomorphisms of NP-complete problems on random instances. In Proceedings of the 8th Conference on Structure in Complexity Theory , IEEE Computer Society Press, pages 65-74, 1993. J. Belanger and J. Wang. Rankable distributions do not provide harder instances than uniform distributions. In Proceedings of the 1st International Computing and Combinatorics Conference , vol 959 of Lecture Notes in Computer Science , Springer-Verlag, pages 410-419, 1995. J. Belanger and J. Wang. Reductions and convergence rates of average time. In Proceedings of the 2nd International Computing and Combinatorics Conference , vol 1090 of Lecture Notes in Computer Science , Springer-Verlag, pages 300-309, 1996.

39. Person Paul Du Bois-Reymond Arnold Sommerfeld ua an Arnold Sommerfeld ua, 10. Februar 1902 http://www.lrz-muenchen.de/~Sommerfeld/PersDat/00995.html

Person: Paul du Bois-Reymond Paul Volkmann an Arnold Sommerfeld, 17. Oktober 1899 Arnold Sommerfeld u.a. an Arnold Sommerfeld u.a., 10. Februar 1902 ... Institutionen

40. VL Experiments [exp72] Figures, 1 Daguerreotype paul Gustave du boisreymond, ca. 1850; 2 Testarrangement variations of the muscle current; 3 Wrist container; http://vlp.mpiwg-berlin.mpg.de/references?id=exp72

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