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Joseph Liouville first proved the existence of transcendental numbers in 1844, and in 1851 gave the first decimal examples such as the Liouville constant
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Joseph and Liouville
A classical theorem of Joseph Liouville called Liouville's theorem shows the higher-dimensions have less varied conformal maps:
The Liouville function, denoted by λ ( n ) and named after Joseph Liouville, is an important function in number theory.
Not all closed-form expressions have closed-form antiderivatives ; this study forms the subject of differential Galois theory, which was initially developed by Joseph Liouville in the 1830s and 1840s, leading to Liouville's theorem which classifies which expressions have closed form antiderivatives.
In 1839, during a visit to Paris, Dirichlet met Joseph Liouville, the two mathematicians becoming friends, keeping in contact and even visiting each other with the families a few years later.
In complex analysis, Liouville's theorem, named after Joseph Liouville, states that every bounded entire function must be constant.
In physics, Liouville's theorem, named after the French mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics.
Joseph and first
Joseph Brown continued in business by himself, quickly rebuilding the establishment which had been lost in the fire and beginning those first steps which were to establish him as a pioneer in raising the standards of accuracy of machine shop practice throughout the world.
Maj. Gen. Polk ignored the problems of Fort Henry and Fort Donelson when he took command and, after Johnston took command, at first refused to comply with Johnston's order to send an engineer, Lt. Joseph K. Dixon, to inspect the forts.
He has written and produced seventy-three full-length plays in Scarborough and London and was, between 1972 and 2009, the artistic director of the Stephen Joseph Theatre in Scarborough, where all but four of his plays have received their first performance.
For Joseph and his supports of Imperial reform, besides encouraging any first buddings of pan-national pride that would unite his multi-lingual and ethnic subjects under one common language ; they also hoped to save a considerable amount of money in the process.
* 1860 – The first successful United States Pony Express run from Saint Joseph, Missouri to Sacramento, California begins.
* 1922 – Joseph Stalin becomes the first General Secretary of the Communist Party of the Soviet Union.
It was first published in March 1830 by Joseph Smith as The Book of Mormon: An Account Written by the Hand of Mormon upon Plates Taken from the Plates of Nephi.
In the narrative, just prior to this test, when Joseph had first met all of his brothers ( but not identified himself to them ), he had held a feast for them ; the narrative heavily implies that Benjamin was Joseph's favorite brother, since he is overcome with tears when he first meets Benjamin in particular, and he gives Benjamin five times as much food as he apportions to the others.
* Armand Joseph Dubernad ( 1741 – 1799 ), financial trader, consul general of the Holy Roman Empire, deputy, mayor and cofounder of the first Jacobin Club of Brittany.
Following his conquest of most of Western Europe, the first Napoleon made his elder brother Joseph ( 1768 – 1844 ) king first of Naples ( 1806 – 1808 ) and then of Spain ( 1808 – 1813 ), his third brother Louis ( 1778 – 1846 ) king of Holland ( 1806 – 1810 ) ( subsequently forcing his abdication after his failure to subordinate Dutch interests to those of France ) and his youngest brother Jérôme Bonaparte ( 1784 – 1860 ) king of Westphalia, the short-lived realm created from some of the states of northwestern Germany ( 1807 – 1813 ).
Its first Lieutenant-Governor was Joseph Frederick Wallet DesBarres ( 1784 – 1787 ) and his successor was William Macarmick ( 1787 ).
Following in the footsteps of legendary English Joseph Grimaldi, Fox popularised the Humpty Dumpty stories throughout the land in the first half of the 19th century.
The term was first used in a 1994 book by Joseph Jenkins that advocates the use of this organic soil amendment.
However, the details of the story are at best uncertain ( see for discussion of the original Wolfgang Sartorius von Waltershausen source and the changes in other versions ); some authors, such as Joseph Rotman in his book A first course in Abstract Algebra, question whether it ever happened.
The first cement to consistently contain alite was made by Joseph Aspdin's son William in the early 1840s.
It was the Short Range Committee, chaired by Joseph Wegstein of the US National Bureau of Standards, that during the following months created a description of the first version of COBOL.