Germain first became interested in number theory in 1798 when Adrien-Marie Legendre published Essai sur la théorie des nombres.

This concern was then linked to the study of energy transfers in chemical processes, for example to the investigation, published in 1840, of the heats of chemical reactions by Germain Hess, which was not originally explicitly concerned with the relation between energy exchanges by heat and work.

The AKS primality test, runs in Õ (( log n )< sup > 12 </ sup >) ( improved to Õ (( log n )< sup > 7. 5 </ sup >) in the published revision of their paper ), which can be further reduced to Õ (( log n )< sup > 6 </ sup >) if the Sophie Germain conjecture is true.

In 1773 he published the Homeric Lexicon of Apollonius the Sophist from a manuscript in the abbey of Saint Germain des Pres.

The species was first published by Bernard Germain de Lacépède in 1804.

Before she died, Sophie Germain was recommended by Gauss to receive her honorary degree.

Jasmuheen maintains that some of her beliefs are based on the writings and " more recent channelled material " of the Count of St Germain.

Gray proposes that after his political career, Ambroise-Franҫois became the director of a bank ; at least, the family remained well-off enough to support Germain throughout her adult life.

When Germain was 13, the Bastille fell, and the revolutionary atmosphere of the city forced her to stay inside.

" Germain obtained the lecture notes and began sending her work to Joseph Louis Lagrange, a faculty member.

Fortunately, Lagrange did not mind that Germain was a woman, and he became her mentor.

In the letter, Germain claimed to have proved the theorem for n = p – 1, where p is a prime number of the form p = 8k + 7 ; however, her proof contained a weak assumption.

Three months after the incident, Germain disclosed her true identity to Gauss.

Although Gauss thought well of Germain, his replies to her letters were often delayed, and he generally did not review her work.

" The contest was extended once more, and Germain began work on her third attempt.

Germain submitted her third paper, “ Recherches sur la théorie des surfaces élastique ” under her own name, and on 8 January 1816 she became the first woman to win a prize from the Paris Academy of Sciences.

In the letter, Germain said that number theory was her preferred field, and that it was in her mind all the time she was studying elasticity.

File: Edgar Germain Hilaire Degas 045. jpg | After the Bath, Woman Drying her Nape 1898, Musée d ' Orsay, Paris

Rupert first travelled to the Royal court in exile at St Germain but found it still dominated by the Queen and her favourite, Rupert's enemy Digby.

She arrived in France from Scotland in 1548 aged six, via the French King's favourite palace at Saint Germain en Laye near Paris, and remained in France until 1561, when she returned to her homeland-sailing up the Firth of Forth to Scotlands Capital, Edinburgh, on 15 August that year.

Then, in 1769, Lady Elizabeth Germain died without natural heirs, and left her estates to him.

" Her performance in the film was well received: David Germain of the Associated Press wrote, " Gyllenhaal humanizes her so deeply and richly ... that Sherry elicits sympathy even in her darkest and weakest moments ", and Dennis Harvey of Variety called her performance " naturalistic ".

File: Edgar Germain Hilaire Degas 072. jpg | Edgar Degas, Dancers at The Bar, 1888, The Phillips Collection, Washington, D. C.

Germain decided that if geometry, which at that time referred to all of pure mathematics, could hold such fascination for Archimedes, it was a subject worthy of study.

Although Germain had at last been awarded the prix extraordinaire, the Academy was still not fully satisfied.

Case 2 includes all p that divide at least one of x, y, or z. Germain proposed the following, commonly called “ Sophie Germain's Theorem ”:

In some markets, local liberal hosts have existed for years, such as the British talk host Michael Jackson ( who was on the air at KABC in Los Angeles beginning in 1968 and is currently at KGIL ); Bernie Ward in San Francisco ; Jack Ellery in New Jersey and Tampa ; Dave Ross in Seattle, and Marc Germain in Los Angeles.

The queen insisted upon another colloquy, which was opened at St. Germain Jan. 28, 1562, eleven days after the proclamation of the famous January edict which granted important privileges to those of the Reformed faith.

File: Edgar Germain Hilaire Degas 044. jpg | Miss La La at the Cirque Fernando, 1879, The National Gallery, London

File: Edgar Germain Hilaire Degas 072. jpg | Dancers at The Bar, 1888, The Phillips Collection, Washington, DC

Baptized February 10 1544 at the chapelle des Trinitaires in Fontainebleau, Francis first lived at the Saint Germain en laye castle.

Although Burgoyne at the time was widely held to blame for the defeat, historians have over the years shifted responsibility for the disaster at Saratoga to Lord Germain, the Secretary of State for the Colonies.

The village of Couture St Germain contains the ruins of the Cistercian Abbey of Aywiers which has been the subject of pilgrimages since the late 19th century in honour of Saint Lutgarde who lived there for 30 years at the end of the 12th century.

Klasky, Csupo, and Germain were also animating The Simpsons at the time, which they would continue to do until 1992.

He persuaded the duke of Queensberry that his rival, the duke of Atholl, was in the Jacobite plot, and that if Queensberry supported him he could obtain evidence of this at St Germain.

In March 1689 ( supported by French gold, troops, and generals ) he sailed from his exile at St Germain to rally Catholic support in Ireland as a first step to regaining his thrones.

St. Germain gave himself out for a marvel and always aimed at exciting amazement, which he often succeeded in doing.

The king had given him a suite of rooms at Chambord, and a hundred thousand francs for the construction of a laboratory, and according to St. Germain the dyes discovered by the king would have a materially beneficial influence on the quality of French fabrics.

The Prince was impressed and installed the Count in an abandoned factory at Eckernförde he had acquired especially for the Count, and supplied him with the materials and cloths that St. Germain needed to proceed to with the project.

There are also two triangular books in the Manly Palmer Hall Collection of Alchemical Manuscripts at the Getty Research Library which are attributed to Saint Germain.

* The Comte de St. Germain ( 1912 ) by Isabel Cooper-Oakley, at sacred-texts. com