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	Jakob Bernoulli
		Jakob Bernoulli was born in Switzerland and received his degree in 1671 after studying philosophy and theology at the request of his father and mathematics and astronomy against the will of his father.
		Bernoulli showed his mastery of the calculus with his analysis of the solutions given by Huygens in 1687 and by Gottfried Wilhelm Leibniz in 1689 to the problem of the curve of constant descent in a gravitational field.
		He was the first mathematician of the Bernoulli family, which became the most famous family in the history of mathematics.
	www.economyprofessor.com /theorists/jakobbernoulli.php (282 words)

	Jakob Bernoulli Beschreibung in Library - Definition und Buch-Tipp.
		Eine Übersicht der Artikel, die mit dem Thema Jakob Bernoulli verwandt sind finden Sie auf der Seite alle Artikel über Jakob Bernoulli.
		Jakob Bernoulli (* 6.01 1654 in Basel; † 16.08 1705 ebd.) war ein schweizerischer Mathematiker und Physiker aus einer verzweigten Gelehrtenfamilie (siehe hier), Bruder von Johann Bernoulli.
		Jakob Bernoulli studierte Philosophie und Theologie und gegen den Willen seines Vaters auch Mathematik und Astronomie.
	jakob_bernoulli.know-library.net (737 words)

	Jakob Bernoulli Summary
		Bernoulli was fascinated by the mathematical properties of curves, especially the logarithmic spiral, a figure similar to the chambered nautilus mollusk shell in nature with its perfectly symmetrical spirals.
		Bernoulli formulated an equation to refute the traditional hypothesis among mathematicians that the catenary is a parabola.
		Jakob Bernoulli (Basel, Switzerland, December 27, 1654 - August 16, 1705), also known as Jacob, Jacques or James Bernoulli was a Swiss mathematician and scientist and the older brother of Johann Bernoulli.
	www.bookrags.com /Jakob_Bernoulli (3052 words)

	Jakob Bernoulli: Tutte le informazioni su Jakob Bernoulli su Encyclopedia.it
		Jakob Bernoulli, matematico e scienziato svizzero, 27 dicembre 1654 - 16 agosto 1705.
		Nato a Basilea (Svizzera) nel 1654, Jakob Bernoulli seguì la volontà di suo padre cominciando gli studi in teologia, ma nel 1676 incontrò Robert Boyle durante un viaggio in Inghilterra, e si dedicò così alle scienze e alla matematica.
		I concetti campionamento bernoulliano, teorema di Bernoulli, variabile casuale Bernoulliana e numeri di Bernoulli sono legati ai suoi lavori e nominati in suo onore.
	www.encyclopedia.it /j/ja/jakob_bernoulli.html (220 words)

	NationMaster - Encyclopedia: Daniel Bernoulli
		Bernoulli's principle is of critical use in aerodynamics.
		Born as the son of Johann Bernoulli, nephew of Jakob Bernoulli, younger brother of Nicolaus Bernoulli II, and older brother of Johann II, Daniel Bernoulli was by far the ablest of the younger Bernoullis.
		Nicolaus I Bernoulli (1687–1759), nephew of Jakob and Johann.
	www.nationmaster.com /encyclopedia/Daniel-Bernoulli (1985 words)

	Jakob(I) Bernoulli
		Jakob (Jacques) Bernoulli was the 5th child of Nicolaus Bernoulli and older brother to Nicolaus(I) and Johann(I) Bernoulli.
		Jakob's motto in life was "Invito patre sidera verso" which translates to "Against my father's will I study the stars" - this is in ironic memory of his father's futile opposition to Jakob devoting his talents to mathematics and astronomy.
		Jakob was the professor of mathematics at Basel university from 1687 until his death in 1705.
	www.unisanet.unisa.edu.au /07305/Jakob(I).htm (662 words)

	Biographies
		Bernoulli's younger brother Johann was initially forced to study medicine but followed in Jakob's footsteps and studied mathematics and physics instead.
		Jakob and Johann were the first of three generations of Bernoullis to study mathematics, although only Johann's son Daniel achieved stature to rival his father and uncle.
		Jakob Bernoulli held the chair in mathematics at Basel University until his death in 1705 when he was succeeded by his brother Johann who had long coveted the position.
	tulsagrad.ou.edu /statistics/biographies/Bernoulli.htm (417 words)

	Highbeam Encyclopedia - Search Results for Bernoulli
		Bernoulli's law For a steadily flowing fluid, the sum of the pressure, kinetic energy, and potential energy per unit volume is constant at any point in the fluid.
		Using this relationship, formulated by Daniel Bernoulli, it is possible to measure the velocity of a liquid by measuring its pressure...
		Jakob (1655–1705) and Johann (1667–1748) were the sons of a pharmacist who wanted one boy to study theology and the other medicine.
	www.encyclopedia.com /SearchResults.aspx?Q=Bernoulli (671 words)

	HENRI PITOT TUBE SPEED MEASURING INSTRUMENT \| DANIEL BERNOULLI'S LAW FLUID FLOW AIRFOIL LIFT
		Bernoulli discovered some fairly simple relationships between fluid velocity and pressure which are the fundamental basis for the design of wings.
		Born as the son of Johann Bernoulli,nephew of Jakob Bernoulli, younger brother of Nicolaus Bernoulli II,and older brother of Johann II, Daniel Bernoulli was by far the ablest of the younger Bernoullis.
		Daniel Bernoulli also was the author in 1738 of the "Exposition of a New Theory on the Measurement of Risk", (Econometrica vol 22 (1954), pp23-36; Stanford Encyclopaedia of Philosophy) which St. Petersburg paradox was the base of the economic theory of risk aversion, risk premium and utility.
	www.speedace.info /pitot_tube.htm (1803 words)

	Jakob Bernoulli
		Jakob Bernoulli's parents, of Belgium descent and Protestant faith, fled the Netherlands and moved to Switzerland in order to escape persecution from Spanish rulers seeking to enforce Roman Catholicism.
		Bernoulli was appointed professor of mathematics at the university in 1687, and it was then that he began collaborating with his brother, Johann, in calculus.
		Bernoulli's greatest achievement was in his composition of the Ars Conjectandi, in which he divulged his revolutionary knowledge in probability.
	www.csca.us /math/precalc/bernoulli.htm (562 words)

	THE BERNOULLI FAMILY
		In jakob Bernoulli's soulution to the problem of the isochrone curve, which was published in the Acta eruditorum, in 1690.
		Jakob Bernoulli was struck by the way the equiangular spiral reproduces itselt under a bariety of thransformations and asked, in imitation of Archimedes, that such a spiral be engraved on his tombstone, along with the inscription "Eadem mutata resurgo" ("Though changed, I arise again the same.")
		Johann Bernoulli was an even more prolific contributor to mathematics than was his brother Jakob, Though he was a jealous and cantankerous man, he was one of the most successful teachers of his time.
	library.thinkquest.org /22584/temh3007.htm (830 words)

	Bernoulli Bibliography
		Bernoulli numbers are particularly important in number theory, especially in connection with Fermat's last theorem (see, e.g., Ribenboim (1979)).
		The same is true for the numerous generalizations and extensions of the Bernoulli and allied numbers and of the corresponding polynomials.
		We included those in which Bernoulli numbers play a relatively important role; these criteria, however, are not well defined and are somewhat arbitrary.
	www.mscs.dal.ca /~dilcher/bernoulli.html (997 words)

	Amazon.com: "Jakob Bernoulli": Key Phrase page
		In Ars conjectandi (1713) Jakob Bernoulli (q.v.) called this "the fundamental principle of the whole art." Pascal has invented the concept of "expected value," that is,...
		The first published works on the subject, from Huygens' little treatise of 1657 to Jakob Bernoulli's dcfinitive Ars con,iectandi of 1713, covered a range of topics that cohere only against this background.
		an especially elegant one is due to Jakob Bernoulli, older brother of Euler's mentor.
	www.amazon.com /phrase/Jakob-Bernoulli (457 words)

	Bernoulli_Jacob summary
		Jacob Bernoulli was a Swiss mathematician who was the first to use the term integral.
		He studied the catenary, the curve of a suspended string.
		Rue Bernoulli (8th Arrondissement) is named for the Bernoulli family.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Bernoulli_Jacob.html (66 words)

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