Yet Clifford is now best remembered for his eponymous Clifford algebras, a type of associative algebra that generalizes the complex numbers and William Rowan Hamilton's quaternions and biquaternions.

In purchasing Louisiana, Jefferson had to adopt Hamilton's broad construction of the Constitution, and so did Madison in advocating the rechartering of Hamilton's bank, which he had so strenuously opposed at its inception, and in adopting a Hamiltonian protective tariff.

He theorized a heritable component in altruism and developed Genetic Similarity Theory, which is an extension of W. D. Hamilton's theory of kin selection.

Hamilton's program was started in his 1982 paper in which he introduced the Ricci flow on a manifold and showed how to use it to prove some special cases of the Poincaré conjecture.

The story of the Night's Dawn Trilogy is separated over three books: The Reality Dysfunction ( 1996 ), The Neutronium Alchemist ( 1997 ), and The Naked God ( 1999 ); but is also supported by " A Second Chance at Eden ", a collection of short stories which provide insight into the history of Hamilton's universe.

Ditko began professionally illustrating comic books in early 1953, drawing writer Bruce Hamilton's science-fiction story " Stretching Things " for the Key Publications imprint Stanmor Publications, which sold the story to Ajax / Farrell, where it finally found publication in Fantastic Fears # 5 ( cover-dated Feb. 1954 ).

which has the same form as Hamilton's principle but in which x < sub > 3 </ sub > takes the role of time in classical mechanics.

In 2011, experimentalists found empirically that Hamilton's rule describes very accurately the conditions under which altruism emerged in simulated populations of foraging robots.

However, as Hamilton's later refinements of his theory make clear, it does not simply predict that genetically related individuals will inevitably recognise and engage in positive social behaviours with genetic relatives: rather, indirect context-based mechanisms may have evolved, which in historical environments have met the inclusive fitness criterion ( see above section ).

* Far Away — A planet in Peter F. Hamilton's Commonwealth Saga which has been sterilized by a solar flare and is characterized by a triangle of stratospheric mountains.

He sought to influence the committee to grant the claim of Alexander Hamilton's widow to wages which Hamilton had declined when serving under George Washington.

It is to this school of thought that Hamilton's biography belongs, in which he argues that it was Gaveston's exclusive access to royal patronage that was the driving force behind the baronial animosity towards him.

Hamilton also had a Jewish community ; Beth Israel Synagogue was founded in 1901 as an Orthodox alternative to Hamilton's existing Reform synagogue, which had been founded in the 1880s.

Hamilton, along with Elias Shook and William Haws, settled the area in 1828 and quickly struck quality deposits of lead ore. During the 1832 Black Hawk War, a fort was erected at Hamilton's Diggings, which was known as Fort Hamilton.

Wiota was first platted in 1836 by Hamilton, and though a few buildings were built, the settlement was eventually moved from the Hamilton's Diggings site to its present site, which was platted on July 1, 1858.

The whiskey tax was repealed after Thomas Jefferson's Republican Party, which opposed Hamilton's Federalist Party, came to power in 1800.

The whiskey tax was repealed after Thomas Jefferson's Republican Party, which opposed Hamilton's Federalist Party, came to power in 1800.

Hamilton's principle states that the physical path q ( t )— the one actually taken by the system — is a path for which infinitesimal variations in that path cause no change in I, at least up to first order.

" A study of the few sentences under this head might have obviated the trifling criticism of Hamilton's objection which has been set afloat recently, that the denial of a knowledge of the absolute or infinite implies a foregone knowledge of it.

The distinction between perception proper and sensation proper, which occurs by implication though it is not explicitly worked out ( see Hamilton's Lectures on Metaphysics ,-Lect.

1888 ) he applied to Christian theology the metaphysical agnosticism which seemed to result from Kant's criticism, and which had been developed in Hamilton's Philosophy of the Unconditioned.

Hamilton's Federalists ( of which Ames was one ), although they too agreed with a Republic, advocated a stronger federal government with similar powers to the British example.

Given Pinckney's lack of political experience, he would have been expected to be open to Hamilton's influence.

Hamilton's later clarifications often go unnoticed, and because of the persistence of the long standing assumption that kin selection theory necessarily predicts that social cooperation requires innate powers of kin recognition, some theorists have tried to clarify the position in recent work:

Whether or not Hamilton's rule always applies, studies have demonstrated that relatedness is often important for human altruism in that humans are inclined to behave more altruistically toward kin than toward unrelated individuals.

In Laurell K. Hamilton's Mistral's Kiss of the Merry Gentry series, Doyle was revealed to have once been Nodons, " a god of healing ".

Hamilton's equations have another advantage over Lagrange's equations: if a system has a symmetry, such that a coordinate does not occur in the Hamiltonian, the corresponding momentum is conserved, and that coordinate can be ignored in the other equations of the set.

Due to limited siding capacity at Hamilton's Bawn, they could only take the front five vehicles on there, so the rearmost ten vehicles would have to be left standing on the running line.

These precautions had been omitted in order to pursue a strategy ( dividing the train ) which, even had nothing gone wrong, would have had no advantages over awaiting the scheduled train to assist the excursion to Hamilton's Bawn.

Several theatre companies have capitalized on Hamilton's attribution by performing The Second Maiden's Tragedy under the name of Shakespeare's Cardenio, ignoring its disputed status.

Tanner, Gerow, and Megill liken Hamilton's music to chamber music, and have noted that Hamilton's " subtle rhythmic control and use of different drum pitches and timbres " was well-suited for this style of music.

The Hamilton's equations of motion have an equivalent expression in terms of the Poisson bracket.

where is the Hamiltonian, and Hamilton's equations have been used.

Among his notable early works for Roach was supervising the first entries in the Our Gang series, as well as directing several films starring Lloyd Hamilton ; like many other silent comedians, Chase is reported to have regarded Hamilton's work as a major influence on that of his own.

Hamilton's catchphrase " People buy things they don't need, with money they don't have, to impress people they don't like " neatly sums up his philosophy on consumerism.

The three judges dismissed Hamilton's appeal on the grounds that Fayed's acquisition of the stolen papers would not have materially affected the outcome of the trial.

As much of Hamilton's work depicts early-teen girls, often nude, he has been the subject of some controversy and even child pornography allegations, similar to that which the work of Sally Mann and Jock Sturges have attracted.

As The Guardian wrote, " Hamilton's photographs have long been at the forefront of the " is it art or pornography?

To embarrass Madison, his contrary claims from the Federalist Papers were read aloud in congress: Eventually Southern opposition both to the bank and to Hamilton's plan to have the federal government assume the war debts of the states was mollified by the transfer of the nation's capital from its temporary seat in Philadelphia to a more southerly permanent seat on the Potomac, and the bill, along with the establishment of a national mint, was passed by congress and signed by President Washington.

Since 1996, the two teams have played each other every year at Hamilton's Ivor Wynne Stadium during the Labour Day Classic, with the 2011 season being a recent exception.

Researchers in Switzerland have developed an algorithm based on Hamilton's rule of kin selection.

and Hamilton's equations in terms of the new variables P, Q and new Hamiltonian K have the same form: