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  1. Traité Élémentaire Des Fonctions Elliptiques; Ouvrage Destiné a Faire Suite Aux Traités Élémentaires De Calcul Intégral... (French Edition) by Pierre François Verhulst, 2010-01-12
  2. VERHULST, PIERRE-FRANÇOIS: An entry from Macmillan Reference USA's <i>Encyclopedia of Population</i> by R. Lesthaeghe, 2003
  3. Mathématicien Belge: Luc de Brabandere, Adolphe Quetelet, Adrien Romain, Joseph Delbeuf, Eugène Charles Catalan, Pierre François Verhulst (French Edition)
  4. Companion To Modern And Contemporary Art, A by Christiane Berndes, Anna Hakkens, et all 2003-04-02
  5. The Logistic Map and the Route to Chaos: From the Beginnings to Modern Applications (Understanding Complex Systems)

41. RootsWeb: VERHULST-L Archives (February 2003)
verhulst Fw pierre Francois verhulst by Holly Ann Burt; verhulst EelboDominique by Holly Ann Burt; verhulst Fw Van der weele by Holly Ann Burt
http://archiver.rootsweb.com/th/index/VERHULST/2003-02
OAS_AD('Top'); VERHULST-L Archives: February 2003 Archiver VERHULST Display in threaded chronological rev chronological order with names with dates RootsWeb is funded and supported by Ancestry.com and our loyal RootsWeb community. Learn more.
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42. Pierre
1804 pierre F verhulst, Belgium, mathematician, logistic curve 1799 pierre deBeaumarchais, dramatist, dies 1798 pierre Dutillieu, composer, dies at 44
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43. Biography
Another family relation, pierre Francois verhulst, is further removed in thefamily tree. Around 1570, when the war between the Dutch and the Spanish Empire
http://www.math.uu.nl/people/verhulst/biography.html
Biography
Ferdinand Verhulst was born in Amsterdam, the Netherlands, on September 3, 1939, three months after his father died and a few hours after World War II started. In the following five years, the Netherlands were occupied by nazi Germany, during which from Amsterdam around 100 000 people died from various causes. With such an ominous beginning, life could only get better, and it did.
After visiting school and higher education, he graduated in 1966 at the University of Amsterdam in astrophysics and mathematics; his graduate research was in numerical analysis and programming for celestial mechanics. In the same year, he started working at the mathematics department of the Technological University of Delft, where he spent his time on teaching, research, management and politics. This period was also the beginning of his interest in engineering problems. During these years, he lived with his wife and three kids near Delft in a windmill, dating from 1637.
Realising that getting back to basics, that is, doing research, was necessary, he gave up his permanent position and moved in 1971 to the department of mathematics of the University of Utrecht, where he became a PhD student of Wiktor Eckhaus . His PhD thesis was defended in 1973 and was called ``Asymptotic Expansions in the Perturbed Two-body Problem''. The expansion of applied mathematics at the University of Utrecht, again provided him with a permanent position; he became Senior Lecturer of Mathematics in 1974 and Professor of Dynamical Systems in 1990.

44. Europa - Research - European Union Contest For Young Scientists
Brussels was the birthplace of pierre verhulst. He would be appointed professorof mathematics at the Université Libre of Brussels and in 1846 he would show
http://europa.eu.int/comm/research/youngscientists/code/2-1-1.htm

History
Retrospective Brussels 1989 Albert Borschette Conference Centre of the European Community - Palais des Académies The starting point of the EU Contest for Young Scientists had to be the capital of Europe. Brussels stands as a sort of micro-Europe itself, in which any language can be heard and utilised, at any moment and anywhere. Four months before the finals in October, on June 18th 1989 and for the first time ever, the citizens of Brussels elected their regional representatives directly. Brussels-Capital Region was henceforth considered an autonomous region, along with the Flemish and Walloon Regions.
The capital, if not large, is somehow a miraculous synthesis of what Europe is and what Europe is not. Home to the main EU institutions and cosmopolitan par excellence, Brussels has had the wisdom to preserve that precious, almost intangible human touch that many huge cities scarcely possess.
Brussels was the birthplace of Pierre Verhulst. He would be appointed professor of mathematics at the Université Libre of Brussels and in 1846 he would show that forces which tend to prevent a population growth increase in proportion to the ratio of the excess population to the total population. The non-linear differential equation describing the growth of a biological population, which he deduced and studied, is now named after him. Based on his theory, Verhulst predicted the upper limit of the Belgium population would be 9,400,000. In fact the population in 1999 is 10,182,034.

45. Logistic Map In Ecology
pierre verhulst (1840s) first proposed the logistic equation for describingpopulation growth. How does the population size of a particular species varies
http://www.imsc.res.in/~sitabhra/research/persistence/logistic_ecology.html
Logistic Map in Ecology
Pierre Verhulst (1840s) first proposed the logistic equation for describing population growth. How does the population size of a particular species varies from one generation to another ? If the generations are non-overlapping (e.g., as in many insect species) this can be modeled using a difference equation or map Logistic map is the simplest such map which gives non-trivial behavior. Let P n be the population of a species at time n (corresponding to the n -th generation).
The change in population size during the time interval n to n +1 is given in the simplest model of population growth by P n+1 - P n k P n where k is the growth rate.
==> The population is assumed to increase in one time interval by an amount proportional to its value at the beginning of that interval. BUT , this implies a population that increases without bound as time increases. In reality, this is checked by Malthusian effects (famine, war, natural disasters). A more realistic model : if the growth rate is not a constant but depends on P n itself such that it decreases when the population becomes too large and the species runs out of food and/or space.

46. Mathématiques & Sciences Humaines - Mathematics And Social Science
Results for criterions; Keyword verhulst Modify search criterions 1 match.Title, pierreFrançois verhulst and the logistic law of population
http://www.ehess.fr/revue-msh/recherche_gb.php?motclef=33

47. Limited And Unlimited Growth
In 1838, the Belgian pierreFrancois verhulst suggested a revised model whichwould eliminate the undesirable effect of unlimited growth.
http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/mordifeqs/logistic.html
Qualitative ideas and direction fields Euler's Method UBC Calculus Online Course Notes
Limited and Unlimited Growth
We have now seen the differential equation and its solutions in many contexts. One of these contexts was that of population growth. Although we arrived at it by looking originally at a doubling process involving bacterial growth , it is tempting to use similar ideas to model human populations.
The behaviour of the exponentially growing function and its implications for the population growth of humans made for shocking and sensational controversy two hundred years ago, when it was described by Thomas R. Malthus in his 1798 publication, An essay on the principle of population as it affects the future improvement of society Malthus predicted that unless disasters or plagues limit the population on earth, simple exponential growth would result in unlimited population density whereas food supply could at best increase linearly. He concluded that mass-starvation, strife, and wars would be the lot of mankind.
A simple calculation, below convinces us that this scenario is certainly consistent with the predictions of the exponential growth equation.

48. Printable Version
pierre and Spearfish, Region 3A foes, split an American Legion baseball However a diving stab by Stene verhulst at third base was the web gem of the
http://www.northernblackhillsweeklygroup.com/articles/2005/07/16/lawrence_county
Region 3A foes split doubleheader By Mike Besso Lawrence County Journal Spearfish Pierre and Spearfish, Region 3A foes, split an American Legion baseball doubleheader Tuesday at Black Hills FiberCom Stadium. Pierre jumped to an early lead, en route to a 14-4 triumph in the opener. Spearfish answered with an 8-3 win in the nightcap. Following are game capsule summaries: Game one Pierre plated five runs in the first inning and seven in the second, taking a 12-1 edge after two innings. Pierre bats broke loose for another five runs in the top of the second inning. Kurth and Mike Fisher delivered RBI triples, while Rislov and Dowling each added RBI doubles. Pierre then ended the game by the run rule in the sixth inning. Kurth, Rislov, Graves and Fisher each had two hits for Pierre. Goodman notched three RBI. Kurth, Rislov and Graves added two RBI each. Willie Knox went the distance on the mound, earning the pitching win. Matt Kemp was a perfect four-for-four at the plate for Post 164. Clauser contributed three hits. Martens and Chris Geuke claimed two hits apiece. Dustin Wisener was roughed up for 12 runs in suffering the pitching loss. Aaron Boyd relieved Wisener for the final four innings.

49. Prime Numbers
A major contribution came from pierre Francois verhulst, a scientist interestedin population growth. verhulst was born in 1804 in Brussels, Belgium.
http://hypatia.math.uri.edu/~kulenm/diffeqaturi/m381f00fp/michael/michaelmp.html
Difference Equations
and
Recursive Relations
Main Page Next topic History Topics Index Difference Equations and Recursive Relations have been studied intensively in this period.
Cauchy

One of Cauchy's contribution to differential equations is given by Cauchy's Functional equation f ( x + y ) = f (x) + f (y) The most general continuous solution is: f ( x ) = a x, where a is the constant. The name is also given to the equation f ( x + y ) = f ( x ) f ( y ), known as the Cauchy- Abel equation, and to the pair of equations f ( xy ) = f ( x ) + f ( y ),
f ( xy ) = f ( x ) f ( y ),
whose most solutions are given respectively by the equations: f f ( x ) = 0,
f ( x ) = x, f ( x ) = 0. Visit
MathWorld Airy
The general form of a homogeneous second order linear differential equation looks as follows: y p t y q t y The series solutions method is used primarily, when the coefficients p t ) or q t ) are non-constant.
One of the easiest examples of such a case is Airy's Equation y t y which is used in physics to model the defraction of light.
Thus the general form of the solutions to Airy's Equation is given by Note that, as always

50. Milestones: Section 5. 1800-1849
TXT pierreFrancois verhulst et la loi logistique de la population; 1839Invention of the first practical photographic process, using coated plates of
http://www.math.yorku.ca/SCS/Gallery/milestone/sec5.html
Milestones in the History of
Thematic Cartography,
Statistical Graphics,
and Data Visualization
Dupin's cartogram of rates
of illiteracy in France Lalanne's windrose diagram, the
first plot in polar coordinates Minard's Tableau graphique Up: Index Introduction References Related ... Pre-1600
1800-1849: Beginnings of modern data graphics
With the fertilization provided by the previous innovations of design and technique, the first half of the 19th century witnessed explosive growth in statistical graphics and thematic mapping, at a rate which would not be equalled until modern times. In statistical graphics, all of the modern forms of data display were invented: bar and pie charts, histograms, line graphs and time-series plots, contour plots, and so forth. In thematic cartography, mapping progressed from single maps to comprehensive atlases, depicting data on a wide variety of topics (economic, social, moral, medical, physical, etc.), and introduced a wide range of novel forms of symbolism.
Use of coordinate paper in published research (graph of barometric variations)- Luke Howard (1772-1864), England [
PIC Luke Howard portrait (170 x 207; 13K)

51. Hollis: Differential Equations
Taylor, Brook Torricelli, Evangelista van der Pol, Balthasar (Google search)verhulst, pierre Volterra, Vito Wronski, Hoëné
http://www.math.armstrong.edu/faculty/hollis/dewbvp/
Differential Equations
with Boundary Value Problems by Selwyn Hollis
Contents and Preface
Marketing Blurb Book Site @ Prentice Hall ... QuickTime Movies Technology Mathematica Maple Java M ... ATLAB Sundry Items Problem graphics and extra graphical problems for Section 3.1.
Please send bug reports here
Professors: Please send me an email
Some Biographical References
The following are links to information on most of the mathematicians/scientists whose names appear in the book. Unless otherwise noted, each of these is a link to the MacTutor History of Mathematics Archive at the University of St Andrews, Scotland.
Abel, Niels Henrik

Airy, George

Banach, Stefan

Bendixson, Ivar
... Edelstein-Keshet, Leah (U. BC) Euler, Leonhard Fourier, Joseph Frobenius, Georg Gauss, Carl Friedrich ... Hertz, Heinrich Rudolf (Google search) Hodgkin, Alan Nature Hooke, Robert Huxley, Andrew (sfn.org) Jacobi, Carl Jordan, Camille Kirchhoff, Gustav Kutta, Martin Wilhelm ... Lorenz, Edward N. (xrefer.com) Lotka, Alfred (Google search) Lyapunov, Aleksandr Maclaurin, Colin Malthus, Thomas (Google search) Menten, Maud

52. History Of ChEn: Timeline
1839 pierre François verhulst develops the logistic model of population growth.1840 Publication of Justus von Liebig s Thierchemie which united the field
http://www.pafko.com/history/h_time.html
A Chemical Engineering Timeline
(Please forgive my digression into other topics) TIMELINE KEY Topics Relating to Chemical Engineering. A Digression into Miscellaneous Topics (often Chemistry) "Enough already... go to the end ~440 BC: Democritus proposes the concept an of atom to describe the indivisible and indestructible particles that were thought to compose the substance of all things. ~250 BC: Archimedes deduces the law of the levers and could evaluate the relative density of bodies by observing their buoyancy force when immersed in water. ~240 BC: Eratosthenes of Cyrene , director of Alexandria library, calculates the size of Earth by measuring the sun's shadow at noon in Siena (Egypt) and Alexandria. Pliny the Elder writes his Historia Naturalis, a 39 volume universal encyclopedia , compiling all that was known about the science of his day. Pliny died in Pompeii during the eruption of the volcano the year 79. Claudius Ptolemaeus (Ptolemy) writes a mathematical and geographical treatise describing all ancient knowledge concerning distances and locations on the earth. He also developed a star catalogue with 1022 entries. The Ptolomeic model placed the earth as the center of the universe; the sun, stars and planets revolved around the earth in circular orbits. This model remained the standard interpretation for more than a millennium, until the time of Copernicus.

53. Francois Verhulst & Marie Olieux
PARENTS pierre Jean Charles verhulst 72 Amelie Rosalie Julienne Delaetev
http://www.verhulsts.com/DVer/deP44.htm
D escendants of: Francois Verhulst
FAQs FATHER: Francois Desire Verhulst [44]; b. 27-Mar-1832 Dunkerque, Nord, France; PARENTS: MOTHER: Marie Therese Olieux Fra ncois Adolphe Verhulst [28-29]; b. 27-Mar-1858 Dunkerque, Nord, France; m. Marie Emilie Constance Doens [28-29]; b. 21-Jun-1865 Dunkerque, Nord, France; d. 1904 Petite Synthe, Nord, France; A Gaston Maurice George Verhulst [14-15]; b. 15-Nov-1886 Dunkerque, Nord, France; d. 18-Feb-1922 Clermont, Oise, France; m. 25-Sep-1909 Petite Synthe, Nord, France; Jeanne Marie Hebinck [14-15]; b. 7-Feb-1888 Petite Synthe, Nord, France; d. 18-Jan-1971 Gonesse, , France .....B. Francois Verhulst [28-29/2]; b. abt 1881 .....C. Emma Verhulst [28-29/3]; b. abt 1891 .....D. Eugene Verhulst [28-29/4]; b. abt 1895
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54. Encyclopedia: Pierre François Verhulst
Other descriptions of pierre Fran§ois verhulst. pierre François verhulst (October28, 1804 February 15, 1849, Brussels, Belgium) was a mathematician and
http://www.nationmaster.com/encyclopedia/Pierre-François-Verhulst

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    Encyclopedia: Pierre Fran§ois Verhulst
    Updated 119 days 2 hours 15 minutes ago. Other descriptions of Pierre Fran§ois Verhulst October 28 February 15 Brussels ... Belgium ) was a mathematician and a doctor in number theory from the University of Ghent in . Verhulst published in the logistic demographic model October 28 is the 301st day of the year (302nd in leap years) in the Gregorian Calendar, with 64 days remaining. ... 1804 was a leap year starting on Sunday (see link for calendar). ... February 15 is the 46th day of the year in the Gregorian Calendar. ... 1849 was a common year starting on Monday (see link for calendar). ... A mathematician is a person whose area of study and research is mathematics. ... Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers. ...

    55. History Of ChEn: Timeline
    1839 pierre François verhulst developes the logistic model of population growth.1840 Publication of Justus von Liebig s Thierchemie which united the
    http://www.members.tripod.com/historycheme/h_time.html
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    A Chemical Engineering Timeline
    (Please forgive my digression into other topics) TIMELINE KEY Topics Relating to Chemical Engineering. A Digression into Miscellaneous Topics (often Chemistry) "Enough already... go to the end ." ~440 BC: Democritus proposes the concept an of atom to describe the indivisible and indestructible particles that were thought to compose the substance of all things. ~250 BC: Archimedes deduces the law of the levers and could evaluate the relative density of bodies by observing their buoyancy force when immersed in water. ~240 BC: Eratosthenes of Cyrene , director of Alexandria library, calculates the size of Earth by measuring the sun's shadow at noon in Siena (Egypt) and Alexandria. Pliny the Elder writes his Historia Naturalis, a 39 volume universal encyclopedia , compiling all that was known about the science of his day. Plinio died in Pompeii during the eruption of the volcano the year 79. Claudius Ptolemaeus (Ptolemy) writes a mathematical and geographical treatise describing all ancient knowledge concerning distances and locations on the earth. He also developed a

    56. Verhulst
    Translate this page pierre-François verhulst verhulst studierte zunächst alte Sprachen in Brüssel,wandte sich dann aber dem Studium der exakten Wissenschaften in Gent zu,
    http://www.uni-essen.de/didmath/texte/jahnke/quellen/verhulst01.htm
    Auszug aus:
    (Thema: Exponentialfunktion und logistisches Wachstum) Word-Dokument PDF-Dokument Die Abbildung wurde entnommen aus: Hutchinson, George Evelyn: An Introduction to Population Ecology, Yale 1978 (gespiegelt) Bibliographische Angaben

    57. Math Forum Discussions
    a Belgian mathematician named pierre verhulst who in 145 and 1847 first verhulst was one of those mathematicians and scientists and Creative
    http://mathforum.org/kb/thread.jspa?threadID=438357&tstart=75

    58. Math Forum Discussions
    Now another character enters the drama , a Belgian mathematician named pierre verhulst was one of those mathematicians and scientists and Creative
    http://mathforum.org/kb/thread.jspa?threadID=438358&tstart=75

    59. Golem.de - Lexikon
    Translate this page Dieser Artikel basiert auf dem Artikel pierre-Fran§ois verhulst aus der pierre-François verhulst Notice sur la loi que la population pursuit dans son
    http://lexikon.golem.de/Pierre-François_Verhulst
    News Forum Archiv Markt ... Impressum Lexikon-Suche Lizenz Dieser Artikel basiert auf dem Artikel Pierre-Fran§ois Verhulst aus der freien Enzyklopädie Wikipedia und steht unter der GNU Lizenz für freie Dokumentation . In der Wikipedia ist eine Liste der Autoren verfügbar, dort kann man den Artikel bearbeiten Letzte Meldungen IFA: Veranstalter und Aussteller hochzufrieden Sanyo-Projektor PLV-Z4: Leise und kontraststark (Update) ...
    28. Oktober
    in 15. Februar belgischer Mathematiker. Er ist heute vor allem als Entdecker der logistischen Gleichung bekannt. Bild: P.-F. Verhulst.jpg
    Klassische Philologie
    zu studieren, wandte sich dann aber dem Studium der Mathematik in Gent zu, wo er 1825 promovierte. Variationsrechnung Zahlentheorie und der Physik Kirchenstaat eine Verfassung zu geben. Auch die belgische Revolution von 1830 Wahrscheinlichkeitstheorie war durch ein neues Lotteriespiel Adolphe Quetelet Malthus im Aufstieg begriffen waren. geometrischen Folge Chaostheorie wieder viel Aufmerksamkeit (siehe Logistische Gleichung Sein eigentliches Hauptwerk ist
    • Notice sur la loi que la population pursuit dans son accroissement . Corresp. Math. Phys. 10:113-121 (1838).
    Literatur/Weblinks

    60. Cytotoxicity Is Mandatory For CD8+ T Cell-mediated Contact Hypersensitivity -- K
    Jacques Banchereau, AnneMarie Schmitt-verhulst, and pierre Goldstein Schmitt-verhulst, AM, CB Pettinelli, P. Henkart, JK Lunney, and GM Shearer.
    http://www.jem.org/cgi/content/full/189/5/779
    Home Help Feedback Subscriptions ... Table of Contents This Article Abstract PDF (Full Text) Alert me when this article is cited ... Citation Map Services Alert me to new content in the JEM Download to citation manager Cited by other online articles PubMed PubMed Citation Articles by Kehren, J. Articles by Nicolas, J.-F. J. Exp. Med., Volume 189, Number 5, March 1, 1999 779-786
    Cytotoxicity Is Mandatory for CD8 T Cell-mediated Contact Hypersensitivity
    By Jeanne Kehren, Cyril Desvignes, Maya Krasteva, Olga Assossou, Michael Hahne, Dominique Kaiserlian, From the INSERM U404, F-69365 Lyon Cedex 07, France; the Institute of Biochemistry, University of Lausanne, CH-1066 Epalinges, France; the Ontario Cancer Institute, Toronto, Ontario M5G 2M9, Canada; and the Department of Clinical Immunology, Centre Hospitalier Lyon-Sud, F-69495 Pierre-Benite, France Abstract Top
    Abstract
    Introduction
    Results
    Discussion
    References Contact hypersensitivity (CHS) is a T cell-mediated skin inflammation induced by epicutaneous exposure to haptens in sensitized individuals. We have previously reported that CHS to dinitrofluorobenzene

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