For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy .< ref name =" Stillwell Infinite Series Early Results "> Later, Greek mathematicians such as Eudoxus and Archimedes made more explicit, but informal, use of the concepts of limits and convergence when they used the method of exhaustion to compute the area and volume of regions and solids.

Later, a separator () ( a short, roughly vertical, ink stroke ) between the units and tenths position became the norm among Islamic mathematicians.

Later, he joined the codebreakers at Bletchley Park, and by 1945 was one of some fifteen mathematicians working in the " Newmanry ", a section headed by Max Newman and responsible for breaking a German teleprinter cipher using machine methods.

Later in the 19th century mathematicians generalised geometry even further, developing such areas as geometry in n dimensions, projective geometry, affine geometry and finite geometry.

Later, the system was improved by other mathematicians, and in the end it became as expressive as the ones developed in Europe.

Later, Dirichlet, Kronecker, Schur and other mathematicians found different proofs.

Later mathematicians such as Zhang Heng ( 78 – 139 ) and Liu Hui ( fl.

Later mathematicians introduced algebraic methods, which transform a geometric problem into algebraic equations.

Later that year, Bartholomew County was organized by an act of the State Legislature and named to honor the famous Hoosier militiaman, General Joseph Bartholomew.

Later, in 1802, Joseph Louis Gay-Lussac published results of similar experiments, indicating a linear relationship between volume and temperature:

Later, in Business Cycles ( 1939 ), Joseph Schumpeter suggested naming the cycles " Kondratieff waves ", in honor of the economist who first noticed them.

Later interpretations rejected opposition between myth and science, such as Jungian archetypes, Joseph Campbell's " metaphor of spiritual potentiality ", or Lévi-Strauss's fixed mental architecture.

Later notable employees include Joseph DiNucci, VP of Marketing, who recruited Bob Lutz, then president of Chrysler onto SGI's board.

Later performances were by Joseph Weigl.

Later in April, Gen. Sherman, without consulting Washington, concluded an agreement with Confederate Gen. Joseph E. Johnston to effect the latter's surrender, believing it to be consistent with Lincoln's recent statements to him at City Point ; Secretary Stanton and Grant quickly surmised the terms were much too lenient.

Later that night, under a full moon, Captain Corcoran reviews his concerns: his " kindly crew rebels ", his " daughter to a tar is partial ", his friends seem to desert him, and Sir Joseph has threatened a court-martial.

Later retellings of the story contend that Joseph of Arimathea himself travelled to Britain and became the first Christian bishop in the Isles.

Later authors sometimes mistakenly or deliberately treated the Grail story as truth — John of Glastonbury, who assembled a chronicle of the history of Glastonbury Abbey around 1350, claims that when Joseph came to Britain, he brought with him a wooden cup used in the Last Supper and two cruets, one holding the blood of Christ, and the other his sweat, washed from his wounded body on the Cross.

Later, the connection between atomic physics and optical physics became apparent, by the discovery of spectral lines and attempts to describe the phenomenon-notably by Joseph von Fraunhofer, Fresnel, and others in the 19th century.

Later, several feeder trails led across Kansas, and some towns became starting points, including Weston, Missouri, Fort Leavenworth, Kansas, Atchison, Kansas, St. Joseph, Missouri, and Omaha, Nebraska.

Later authors on the subject included Joseph Swetnam, Zachary Wylde, and Donald McBane.

Later, the Sixth Coalition besieged Metz during the campaign of 1814 against the Napoleonic France, but was unable to take the city defended by General Pierre François Joseph Durutte and his army.

Later it was capital of Basilicata, a position it retained until 1806, when Joseph Bonaparte reassigned it to Potenza.

Later, Levi left the house of Joseph and came to Judah as well ().

Later he served as " Aide-de-camp " to Major General Joseph Henry Pendleton after serving on a tour of sea duty aboard the.

Later in 1680, the Mdewakanton Dakota were contacted by French explorer Daniel Greysolon, Sieur du Lhut and the Mendota ( mdo-TE ) band of the Mdewakanton south of the Minnesota River were contacted later by Joseph Nicollet in the 18th century.

Later, Joseph Rogers settled near the Willamette River at what is now Newberg in 1848.

Later, Austrian economist Joseph Schumpeter argued that a Juglar cycle has four stages: ( i ) expansion ( increase in production and prices, low interests rates ); ( ii ) crisis ( stock exchanges crash and multiple bankruptcies of firms occur ); ( iii ) recession ( drops in prices and in output, high interests rates ); ( iv ) recovery ( stocks recover because of the fall in prices and incomes ).

Later, Joseph came to visit his father having with him his two sons, Ephraim and Manasseh.

Later in the war, the KV series became a base of development for the Joseph Stalin ( Iosif Stalin, or IS ) series of tanks.

Later, in calm water, the small boat is seen by Lucien and Joseph Buonaparte aboard a French ship, Le Hasard.

Later William Mair found the tree, and he eventually succeeded in procuring specimens of the leaves and fruit, which were forwarded to Dr Joseph Hooker at Kew.

Later, in the same scene, his friend and advisor, Louis Howe, reads the entire poem aloud as a tribute to Roosevelt.

The Making of Saint Louis: Kingship, Sanctity, and Crusade in the Later Middle Ages ( Cornell University Press, 2008 ) 352 pp.

Later she would become a close friend with the devout Françoise d ' Aubigné, better known as Madame de Maintenon, the lady-in-waiting who would later become the second wife of Louis XIV.

Later, a mega-choir formed by members of the San Francisco Children's Chorus, San Francisco Boys Chorus, San Francisco Girls Chorus and Piedmont Children's Choir performed the national anthem under well known choir director Louis Magor.

Once seriously questioned, the intermediates did not wait for the next Pan African Congress two years hence, but were officially rejected in 1965 ( again on an advisory basis ) by Burg Wartenstein Conference # 29, Systematic Investigation of the African Later Tertiary and Quarternary, a prestigious conference in anthropology held by the Wenner-Gren Foundation, at Burg Wartenstein Castle, which it then owned in Austria, attended by the same key scholars that attended the Pan African Congress, including Louis Leakey and Mary Leakey, who was delivering a pilot presentation of her typological analysis of Early Stone Age tools, to be included in her 1971 contribution to Olduvai Gorge, " Excavations in Beds I and II, 1960-1963.

Later, Marie Antoinette became more polite to the comtesse, pleasing Louis XV, but also particularly her mother.

Later, in December 1783, in recognition of their achievement, their father Pierre was elevated to the nobility and the hereditary appellation of de Montgolfier by King Louis XVI of France.

Later ( October 16, 1930 ), Hampton was recording with Louis Armstrong & His Sebastian New Cotton Club Orchestra, and the studio they were working in happened to have a Deagan model 145 vibraharp.

Later show locations in North America included Chicago, St. Louis, Missouri, and Toronto.

Later Amadeus would be persuaded by Pope Clement VI to accompany Louis I of Naples on an expedition to Naples.

Later, in the mid-1940s, musician Louis Jordan made short films for his songs, some of which were spliced together into a feature film Lookout Sister.

Later that evening at a party, Maria is attracted by the handsome Prince Dino di Cessi ( Louis Jourdan ), despite being warned by Frances and Anita about him being a notorious womanizer.

Later the Federal Building, designed by George Albee Freeman ( the designer of Seagate for the Crosleys ) and Louis A. Simon, which initially had served as the post office was restored as well.

Around the turn of the 20th century, Houck ’ s various lines were consolidated under the name of St. Louis & Gulf Railroad Co. Later Mr. Houck sold out to a syndicate headed by Newman Erb, who in 1902 sold out to the St. Louis & San Francisco Railway Company.

Later she worked for Louis B. Mayer when he was an independent film producer.

Later that year, Louis also knocked out Paolino Uzcudun, who had never been knocked down or out before.

Later on the St. Louis San Francisco Railroad ( Frisco Railroad ) established its headquarters in Springfield.

Later, in 1248, Louis IX of France proposed ( by Matthew Paris as messenger ) to Haakon to join him for a crusade, with Haakon as commander of the fleet, but Haakon turned the offer down.

Later the younger brother of Louis XI, Charles, Duke of Berry, made an approach, to the intense annoyance of his brother the King, who attempted to prevent the necessary papal dispensation for consanguinity.

In 1612, Edward Denny gave him the curacy of Waltham-Holy-Cross, Essex, and, in the same year, he received the degree of D. D .. Later he received the prebend of Willenhall in the collegiate church of Wolverhampton, and, in 1616, he accompanied James Hay, Lord Doncaster to France, where he was sent to congratulate Louis XIII on his marriage, but Hall was compelled by illness to return.

Later he studied medicine at Paris and Padua ( where he attended Cesare Cremonini's lessons ), and became physician to Louis XIII.

" Later he would joke with Louis, " Why couldn't you let me hold the title for a year or so?