On the other hand, the null space of Af and the null space of Af together span V, the former being the subspace spanned by Af and the latter the subspace spanned by Af and Af.

On the day's schedule are a flower show, 4-H horsemanship contest and clown shows, the latter at 11 a.m. and 3 p.m..

On publication of the latter, Poirot was the only fictional character to be given an obituary in the New York Times ; 6 August 1975 " Hercule Poirot is Dead ; Famed Belgian Detective ".

On the latter front Marshal Vendôme defeated the Imperial army at Calcinato on 19 April, pushing the Imperialists back in confusion ( French forces were now in a position to prepare for the long-anticipated siege of Turin ).

On 6 January 1681, the first recorded boxing match took place in Britain when Christopher Monck, 2nd Duke of Albemarle ( and later Lieutenant Governor of Jamaica ) engineered a bout between his butler and his butcher with the latter winning the prize.

On the lower Danube, which was given priority over the upper Danube, this required the annexation of Moesia and Thrace ; the latter, however, was spared annexation as it was in the hands of a friendly king.

On icy as opposed to rocky bodies, other morphological forms appear which may have central pits rather than central peaks, and at the largest sizes may contain very many concentric rings – Valhalla on Callisto is the type example of the latter.

On 24 June 1501 his troops stormed the latter, causing the collapse of Aragonese power in southern Italy.

He says that Afer and Julius Africanus were the best orators he had heard, and that he prefers the former to the latter, Quintilian refers to a work of his On Testimony, to one entitled Dicta, and to some of his orations, of which those on behalf of Domitilla, or Cloantilla, and Volusenus Catulus seem to have been the most celebrated.

On the latter Jacob Grimm does not make a direct association to the elves, but other researchers see a possible connection to the shining light elves of Old Norse.

On the other hand, < sup > 2 </ sup >⁄< sub > 4 </ sub > is not irreducible since it is equal in value to < sup > 1 </ sup >⁄< sub > 2 </ sub >, and the numerator of the latter ( 1 ) is less than the numerator of the former ( 2 ).

Throughout the country, two minutes of silence are observed at 8 p. m. On May 5th, the liberation is celebrated and festivals are held at most places in the Netherlands, with a parade of veterans and day-long musical festival in Wageningen, the latter with an estimated attendance of 100, 000.

On 7 September, Stalin called Georgi Dimitrov, and the latter sketched a new Comintern line on the war.

The latter are mentioned by Aristotle in On the Parts of Animals as being free-floating and insensate.

On policy matter issues, Musharraf befriended with senior justice of the Supreme Court of Pakistan Justice Rafiq Tarar ( later president ) and held common beliefs with the latter.

On the following day, 31 July 1944, in view of the likely invasion by German forces, the state sent three letters of protest: one to Joachim von Ribbentrop, German Foreign Minister, one to Adolf Hitler and one to Benito Mussolini, the latter delivered by a delegation to Serafino Mazzolini, a high-ranking diplomat in the Italian Ministry of Foreign Affairs.

" On the latter topic, guest worker programmes feature prominently.

On 6 September, Admiral Graves issued a memorandum justifying his use of the conflicting signals, indicating that " the signal for the line of battle ahead is out at the same time with the signal for battle, it is not to be understood that the latter signal shall be rendered ineffectual by a too strict adherence to the former.

Lansky's 1979 computer music piece " Her Song ", from the Six Fantasies On A Poem By Thomas Campion ( re-released on the album Fantasies and Tableaux, 1994 ), has also been sampled by Caural for his song " I Won't Race You ", from his 2006 album Mirrors For Eyes, with the main synthesized vocal line of Lansky's piece being used ( and being the basis for the title of the latter ).

On the other hand, while Confucianism was introduced as both a philosophy and as a ritual tradition in Japan, the latter did not become popular in Japan.

On 16 August 1290, the latter married his daughter Margaret to Charles of Valois, son of Philip III the Bold, giving her Anjou and Maine for dowry, in exchange for the kingdoms of Aragon and Valentia and the countship of Barcelona given up by Charles.

On the obverse side of the hilt, the pommel bears a large stylized letter T on top of a letter C or G ( the latter could be just a decorative element of the letter T ) between the Greek letters Α and ω ( alpha and omega ) surmounted with little crosses.

* At the Moulin Rouge, Mistinguett created many songs that will endure for ever, including “ Valencia ”, " Ça c ' est Paris ", both by Jose Padilla, " Il m ' a vue nue ", " On m ' suit ", " La Java de Doudoune ", the latter with Jean Gabin.

On 16 February 1993, Bergkamp agreed a £ 7. 1 million move to the latter club in a deal which included his Ajax teammate Wim Jonk.

On the truck bed there was nothing smaller than a piece of rusty machinery ; ;

On the question of admission to Veterans Administration hospitals of service-connected and non-service-connected disabled veterans, it must be recognized that there are many men who are greatly affected by war service.

On this point there was fairly general agreement that assessors would like to do more than they are doing now.

On the contrary, there are fewer colds and smaller doctor bills.

On the other hand, there are a few antithyroid drugs of this same general type, such as resorcinol, possessing no reducing activity and possibly acting through formation of a complex with molecular iodine.

On the surfaces of both lungs there were emphysematous blebs measuring up to 3 cm. in diameter.

On the surface of the right kidney there were also 2 yellow, firm, friable raised areas measuring up to 2 cm. in diameter.

On C there is a Af correspondence in which the Af points cut from C by a general line, l, of the pencil correspond to the point of intersection of the image of L and the plane of the pencil.

On the other hand, there is a counterbalancing purpose in education which is to pass on the advantages of the parents to their children.

On the theory before us, such relief would be groundless, for in that suffering itself there was nothing bad at all, and hence in its nonoccurrence there would be nothing to be relieved about.

On the one hand, there is a sense of not having moved beyond the ambiance of their high school.

On the south it ended sharply as though the lava had been cut off there suddenly.

On the one hand, there are ecumenists who are so stirred by the crises of the church in its encounter with the world at large that they have no eyes for what the church is doing in their own town.

On the wall of this square there are delightful bas-reliefs of musical instruments.

On the upper Mississippi the Illinois post was to be established near Kaskaskia, and dependent posts were to be built on the Missouri, `` where there are mines in abundance ''.

On his side of the road there were two farm hands, well back in a field, leaning against a plow.

On the third occasion -- another Big Four summit session at Paris a year ago -- there was no problem of an illusory `` spirit ''.

On the contrary, even in the heart of `` the Bible belt '' itself, as can be attested by any one who is called to work there, the industrial and technological revolutions have long been under way, together with the corresponding changes in man's picture of himself and his world.

On the beach, there were pale girls and not-so-pale girls.

On the occasion of a pestilence in the 430s BCE, Apollo's first temple at Rome was established in the Flaminian fields, replacing an older cult site there known as the " Apollinare ".

On April 28 he moved to Los Angeles where he had family and remained there until May when, suspected by local Union authorities, he evaded arrest and joined the Los Angeles Mounted Rifles as a private, leaving Warner's Ranch May 27.

** On every infinite-dimensional topological vector space there is a discontinuous linear map.

On 31 August, in the great Charles Alcock-edited magazine Cricket: A Weekly Record of The Game, there appeared a mock obituary:

On January 14, 1863, the Alcotts received a telegram that Louisa was sick ; Bronson immediately went to bring her home, briefly meeting Abraham Lincoln while there.