On the other hand, let A be the set of integers, and let two elements of A be related if their difference is even.

On the screen, the light arriving from each position within the slit has a different path length, albeit possibly a very small difference.

On April 5, 1987 ( when the network debuted in prime time ), a more familiar logo was introduced, which was based on 20th Century Fox's longtime logo with the noted difference being that the only wording in the logo was the " FOX " in capital letters.

On the other hand, proponents of Taiwanese, Tibetan, and other ethnic separatism would support such a distinction, as they want to make clear the difference between the concept of " China proper ", a culturally-based nation, and the " People's Republic of China ", a political entity.

On a microcosmic level, however, the lifelong oscillation between the two " poles of fear " can be made more bearable, according to Rank, in a relationship with another person who accepts one's uniqueness and difference, and allows for the emergence of the creative impulse — without too much guilt or anxiety for separating from the other.

On the opposite sides of the same chain the exposure to the sun or to warm winds may cause a wide difference in the level of permanent snow, though the increased fall of snow on the side exposed to moist winds may more than compensate for the sun's rays.

On north-south streets, numbers are counted from Downtown Los Angeles ( thus increase from south to north ), and while in the Antelope Valley, the difference is 800 per mile.

* Striker, Gisela, " On the difference between the Pyrrhonists and the Academics " in G. Striker, Essays on Hellenistic Epistemology and Ethics ( Cambridge: Cambridge University Press, 1996 ): 135-149.

On 30 August 1727, as a child of the sovereign, William's difference changed to a label argent of three points, the centre point bearing a cross gules.

On the other hand, the split between the past tense verbal suffixes-in the Central varieties vs .-in the Eastern varieties is usually seen as a merely stochastic difference.

On this occasion, HRH Sophie, Countess of Wessex, shares all of the titles that her husband bears and the only difference being she exercises the female derivatives of these said titles.

On a logarithmic scale an equal difference in order of magnitude is represented by an equal distance.

" On the success of Knight Rider – " It's because it was about saving lives, not taking lives, and it was how one man really can make a difference.

On the other hand, at least one large study in Germany found no difference in happiness between married and unmarried people.

On the other hand, the main difference with custom hardware, i. e. application-specific integrated circuits ( ASICs ) is the possibility to adapt the hardware during runtime by " loading " a new circuit on the reconfigurable fabric.

On the first pairing of CS and US this difference is large and the associative strength of the CS takes a big step up.

On considering this difference, he may then be able to see something new, which is relevant both to his own views and to those of the other person.

On present-day computers, performance is determined more by cache and CPU pipeline considerations than by strict operation counts, and a slight difference in arithmetic cost is unlikely to be significant.

On the basis of collaborative studies involving 20 different laboratories, it was concluded that there was little difference between these three preparations.

His most famous paper on this subject is entitled " On the order of magnitude of the difference between prime numbers ", which provided a rigorous account of the constructive role in which probability applied to number theory.

On the end of each arm is a tiny simple eye which allows the starfish to perceive the difference between light and darkness.

On 22 September 2005, Prince Saud al-Faisal, the Saudi foreign minister, said he had warned the Bush administration that Iraq was hurtling toward disintegration, and that the election planned for December was unlikely to make any difference.

On the contrary, the difference between ordinary speech and speech that collaborates in a musical form must be made plain.

On the other hand, Thomson argues that an essential difference between the original trolley problem and this version with the fat man, is that in the first case, you merely deflect the harm, whereas in the second case, you have to do something to the fat man to save the five.

On Big Stone Lake near the headwaters of the Red River, Robert Dickson, Superintendent of the Western Indian Department of Canada, had a trading post and planned in 1818 to build a fort to be defended by twenty men and two small artillery pieces.

On attaining his majority at the age of 21 in 1262, Alexander declared his intention of resuming the projects on the Western Isles which the death of his father thirteen years before had cut short.

features the song, " All Quiet On The Western Front " ( written by Elton and Bernie Taupin ).

On the draft resolution condemning violence in Syria, Brazil worked with India and South Africa to try to bridge the divide between the Western powers and Russia and China.

On the Eastern Front of World War I, where combat did not bog down into trench warfare, German and Russian armies fought a war of maneuver over thousands of miles, giving the German leadership unique experience which the trench-bound Western Allies did not have.

On Elizabeth's death in 1603, the 1559 book, substantially that of 1552 which had been regarded as offensive by the likes of Bishop Stephen Gardiner as being a break with the tradition of the Western church, had come to be regarded in some quarters as unduly Catholic.

On top of this there are many non-European clowning traditions ( including clown-like figures in Japanese Kabuki theatre ), North American native shaman traditions to consider which may or may not have influenced what we now think of as a clown in the Western world.

On the Western Front, no Allied army had penetrated the western German frontier, and on the Eastern Front, Germany had already won the war against Russia, concluded with the Treaty of Brest-Litovsk.

On the heels of the Sword and Sandal craze, a related genre, the Spaghetti Western arose and was popular both in Italy and elsewhere.

On ITV's regional news show London Tonight, Brooks was described as " a top-selling, rooting tooting, cotton picking, Country and Western star, yeeha!

On 21 June 1948, the Western Allies withdrew the old currency and replaced it with the new Deutsche Mark at the rate of 1 new per 10 old.

On 6 June 1944 the Western Allied armies landed in northern France during Operation Overlord.

On November 19, 1928, Hoover embarked on a seven-week goodwill tour of several Latin American nations to outline his economic and trade policies to other nations in the Western Hemisphere.

On the Western Front the small improvised trenches of the first few months rapidly grew deeper and more complex, gradually becoming vast areas of interlocking defensive works.

On 1 November 2005, the Irish government published the Transport 21 plan which includes € 18bn for improved roads and € 16bn for improved rail, including the Western Railway Corridor and the Dublin Metro.

On the other hand, Muslim-owned and run media ( not just Western media ) have used the terms " Islamist " and " Islamism " — as distinguished from Muslim and Islam — to distinguish groups such as the Islamic Salvation Front in Algeria or Jamaa Islamiya in Egypt, which actively seek to implement Islamic law, from mainstream Muslim groups.

On the Western side the Wall was not protected, so everybody could paint on the Wall.

On April 13, 1612, Musashi ( about age 30 ) fought his duel with Sasaki Kojirō, who was known as " The Demon of the Western Provinces " and who wielded a nodachi.

Molotov declared in his report entitled " On the Foreign Policy of the Soviet Union " ( 31 October 1939 ) held on the fifth ( extraordinary ) session of the Supreme Soviet, that the Western " ruling circles " disguise their intentions with the pretext of defending democracy against Hitlerism, declaring " their aim in war with Germany is nothing more, nothing less than extermination of Hitlerism.

On October 2, 2006, President Enrique Bolaños, at a summit for Defense ministers of the Western Hemisphere, officially announced that Nicaragua intended to proceed with the project.

On 19 September 2006, the Federal Court of Australia brought down a judgment recognising Noongar native title over the Perth metropolitan area, in the case of Bennell v State of Western Australia FCA 1243.

On 4 June 1829, newly arriving British colonists had their first view of the mainland, and Western Australia's Foundation Day has since been recognised by a public holiday on the first Monday in June each year.

On 29 April 1964 Menzies was presented with the honorary degree of a Doctor of Letters ( DLitt ) by the University of Western Australia.

On the military front, on 26 December 1925 Italian troops finally overran El Buur, and the forces of Omar Samatar were compelled to retreat to Western Somaliland.