Taking his discoveries further, Daniel Bernoulli now returned to his earlier work on Conservation of Energy.

De Moivre pioneered the development of analytic geometry and the theory of probability by expanding upon the work of his predecessors, particularly Christiaan Huygens and several members of the Bernoulli family.

Jacob Bernoulli is best known for the work Ars Conjectandi ( The Art of Conjecture ), published eight years after his death in 1713 by his nephew Nicholas.

The terms Bernoulli trial and Bernoulli numbers result from this work.

In the eighteenth century, two of the innovators of mathematical physics were Swiss: Daniel Bernoulli ( for contributions to fluid dynamics, and vibrating strings ), and, more especially, Leonhard Euler, ( for his work in variational calculus, dynamics, fluid dynamics, and many other things ).

Johann Bernoulli attempted to take precedence over his son by purposely predating his work two years prior to his son ’ s.

L ' Hôspital authored the first textbook on infinitesimal calculus, " Analyse des Infiniment Petits pour l ' Intelligence des Lignes Courbes " in 1696, which mainly consisted of the work of Bernoulli, including what is now known as L ' Hôpital's rule.

Bortkiewicz used it in the sense of making conjectures that the Greek term has borne since the days of the ancient philosophers, and after the title of " Ars Conjectandi " that Jakob Bernoulli gave to his work ( published in 1713 ) on probability theory.

* 1700 – 1782: Daniel Bernoulli introduced the principle of virtual work

Among the foreign scholars invited to work at the academy were the mathematicians Leonhard Euler, Anders Johan Lexell, Christian Goldbach, Georg Bernhard Bilfinger, Nicholas and Daniel Bernoulli, botanist Johann Georg Gmelin, embryologists Caspar Friedrich Wolff, astronomer and geographer Joseph-Nicolas Delisle, physicist Georg Wolfgang Kraft, and historian Gerhard Friedrich Müller.

Bernoulli confirmed Maler's suspicion that there was much work that needed to be done to document the area's ruins.

The Lehmers also assisted Harry Vandiver with his work on Fermat's Last Theorem, computing many Bernoulli numbers required.

Mistakes and philosophical weaknesses in reasoning about infinitesimal numbers in the work of Gottfried Leibniz, Johann Bernoulli, Leonhard Euler, Augustin-Louis Cauchy, and others were the reason that they were originally abandoned for the more cumbersome real number-based arguments developed by Georg Cantor, Richard Dedekind, and Karl Weierstrass, which were perceived as being more rigorous by Weierstrass's followers.

Here, Le Sage also met Daniel Bernoulli, whose work on the kinetic nature of gases was very influential to him.

In 1704 he graduated at the University of Basel under Jakob Bernoulli and obtained his PhD five years later with a work on probability theory in law.

Blow-type ( Bernoulli or venturi effect ) pooters also called " blowing aspirator " have been developed for medical, forensic or agricultural work.

Modern work in cardinal utility theory began in the 18th century, when mathematician Daniel Bernoulli noted how the diminishing marginal utility of wealth would satisfactorily explain why a riddling game like the St. Petersburg paradox should not led to an infinite expected value.

What is now known as the beta distribution had been used by Thomas Bayes as a posterior distribution of the parameter of a Bernoulli distribution in his 1763 work on inverse probability.

Plato posited a " demiurge " of supreme wisdom and intelligence as the creator of the Cosmos in his work Timaeus.

) posited a " demiurge " of supreme wisdom and intelligence as the creator of the cosmos in his work Timaeus.

His nearest pronouncement seems to be Numquam ponenda est pluralitas sine necessitate must never be posited without necessity, which occurs in his theological work on the ' Sentences of Peter Lombard ' ( Quaestiones et decisiones in quattuor libros Sententiarum Petri Lombardi ( ed.

The material responsible for the extra mass was dubbed, " dark matter ", the existence of which was first posited in the 1930s by Jan Oort in his measurements of the Oort constants and Fritz Zwicky in his studies of the masses of galaxy clusters, though these proposals were left unexplored until after Rubin's work was accepted as correct.

His book Hints on Household Taste in Furniture, Upholstery, and Other Details posited that furniture and decor in people's homes should be made by hand or machine workers who took personal pride in their work.

Like the Christian Trinity, these beings are understood to work ultimately in harmony with one another, but this Hindu trinity does not have doctrinal status as in trinitarian Christianity, but is posited as simply one of many ways in which the Divine order of the universe may be understood.

Ronald Hutton writes: work, both celebrated and controversial, posited the previous existence of a peaceful and intensely creative woman-centred civilization, in which humans, living in harmony with nature and their own emotions, worshipped a single female deity.

In his work How Natives Think ( 1910 ), Lévy-Brühl speculated about what he posited as the two basic mindsets of mankind, " primitive " and " Western.

Jack Smith and Andy Warhol incorporated camp elements into their work, and Sitney posited Warhol's connection to structural film.

Some have posited that had her critique not remained nearly unknown for decades, the historical development of quantum mechanics may have been greatly affected ; in particular, it has been speculated that a wider awareness of her work would have put in question the unequivocal acceptance of the Copenhagen interpretation of quantum mechanics, by providing a credibile basis for the further developement of nonlocal hidden variable theories.

More recent work, starting with that of John Gallagher and Ronald Robinson in the 1950s, has questioned this and instead has posited that the two were mutually constituitive, such that each formed simultaneously in relation to the other.

T. Goernitz ( 1986 ), building on Weizsaecker's work, posited an explanation for large number ' coincidences ' in the context of Bekenstein – Hawking entropy.

In response to the work of Jacques Lacan that posited a paternal Symbolic order and a repression of the " feminine " required for language and culture, Julia Kristeva added women back into the narrative by claiming that poetic language — the " semiotic " — was a surfacing of the maternal body in writing, uncontrolled by the paternal logos.

His most convincing work was done on the camphoraceous odor, for which he posited a hemispherical socket in which spherical molecules, such as camphor, cyclooctane, and naphthalene could bind.

For example, if a person was born with Jupiter posited in Capricorn in the sixth house then he would very likely find a great deal of responsibility in his life in the area of work and duty.

An argument for the value of art, used in the fictional work ' The Hitchhikers Guide to the Galaxy ', proceeds that, if some external force presenting imminent destruction of Earth asked humanity what it's value was -- what should humanity's response be?

Diabelli's firm continued to publish Schubert's work until 1823 when an argument between Cappi and Schubert terminated their business.

An early published notice on him, dating from 1604 and describing his lifestyle three years previously, tells how " after a fortnight's work he will swagger about for a month or two with a sword at his side and a servant following him, from one ball-court to the next, ever ready to engage in a fight or an argument, so that it is most awkward to get along with him.

The work finishes with selections of scripture supporting Clement's argument, and following a prayer, the lyrics of a hymn.

Because almost every argument, quotation, and issue raised for decades can be found here, the work is often termed ' the deist's Bible '.

Around 4 July, Poisson declared Galois ' work " incomprehensible ", declaring that " argument is neither sufficiently clear nor sufficiently developed to allow us to judge its rigor "; however, the rejection report ends on an encouraging note: " We would then suggest that the author should publish the whole of his work in order to form a definitive opinion.

Some scholars believe that, because the only evidence for the " courts of love " is Andreas Capellanus ’ s book The Art of Courtly Love, they probably never existed ; to further strengthen their argument, they say that there is also no evidence that Marie ever stayed with her mother in Poitiers, beyond her name being mentioned in Andreas ’ s work.

Much of Dijkstra's later work concerns ways to streamline mathematical argument.

( In addition to fueling Moore's own work, the " Here is one hand " argument also deeply influenced Wittgenstein, who spent his last years working out a new approach to Moore's argument in the remarks that were published posthumously as On Certainty.

In 1890, Cantor was instrumental in founding the Deutsche Mathematiker-Vereinigung and chaired its first meeting in Halle in 1891, where he first introduced his diagonal argument ; his reputation was strong enough, despite Kronecker's opposition to his work, to ensure he was elected as the first president of this society.

To clarify how this argument is supposed to work: Imagine that there is brain in a vat, and a whole world is being simulated for it.

Apart from disputes over the success of the argument or the plausibility of the specific type of semantic externalism required for it to work, there is question as to what is gained by defeating the skeptical worry with this strategy.

A. Hobson identifies this justification: “ It is desirable that the earth should be peopled, governed, and developed, as far as possible, by the races which can do this work best, i. e. by the races of highest ' social efficiency '.” This is clearly the racial argument, which pays heed to other ideas such as the “ White Man ’ s Burden ” prevalent at the turn of the twentieth century.

In the early 18th century, Nicolas Malebranche wrote " An organized body contains an infinity of parts that mutually depend upon one another in relation to particular ends, all of which must be actually formed in order to work as a whole ," arguing in favor of preformation, rather than epigenesis, of the individual ; and a similar argument about the origins of the individual was made by other 18th century students of natural history.

Treating Revelation in his cursory fashion, he made use of an excerpt from the commentary of the North African Tichonius, which is preserved as a sort of argument at the beginning of the more extended work of the Spanish presbyter Beatus of Liébana.

While it was once thought that Locke wrote the Treatises to defend the Glorious Revolution of 1688, recent scholarship has shown that the work was composed well before this date, and it is now viewed as a more general argument against absolute monarchy ( particularly as espoused by Robert Filmer and Thomas Hobbes ) and for individual consent as the basis of political legitimacy.

The expression appears in The Antichrist, published in 1895 and written several years earlier ; a fuller development of Nietzsche's argument can be found in a prior work, On the Genealogy of Morality.

From December 1851 to March 1852 Marx wrote The Eighteenth Brumaire of Louis Napoleon, a work on the French Revolution of 1848, in which he expanded upon his concepts of historical materialism, class struggle and the dictatorship of the proletariat, advancing the argument that victorious proletariat has to smash the bourgeois state.

The argument is not only sound on Tuesdays ( when John goes to work ), but valid on every day of the week.

Their argument was based upon an analogy to contemporary work by Paul J. Crutzen and Harold Johnston, which had

Strongly disputing Proudhon's equality-based argument, Bastiat theorizes that, as a result of technological progress and the division of labor, the stock of communal wealth increases over time ; that the hours of work an unskilled laborer expends to buy e. g. 100 liters of wheat decreases over time, thus amounting to " gratis " satisfaction.

His work is notable for the use of the zeta function ζ ( s ) ( for real values of the argument " s ", as are works of Leonhard Euler, as early as 1737 ) predating Riemann's celebrated memoir of 1859, and he succeeded in proving a slightly weaker form of the asymptotic law, namely, that if the limit of π ( x )/( x / ln ( x )) as x goes to infinity exists at all, then it is necessarily equal to one.

Although Greenberg did not produce an explicit argument for monogenesis, all of his classification work was geared toward this end.