First movers are not always able to benefit from being first.

First, for any value of T for which all values of f{t} are ordinary points the number of values of f{t} must be odd.

For example: in the First Antinomy, Kant proves the thesis that time must have a beginning by showing that if time had no beginning, then an infinity would have elapsed up until the present moment.

First, the player must turn their back to their opponents, restricting their view of them and the court.

First, one must ascertain the facts.

Branch churches of The Mother Church may take the title of First Church of Christ, Scientist ; Second ; but the article The must not be used, presumably to concede the primacy of the Boston Mother Church.

The basic premise of all of these is that something caused the Universe to exist, and this First Cause must be God.

His conception of First Cause was the idea that the Universe must have been caused by something that was itself uncaused, which he asserted was God.

# Therefore, a First Cause ( or something that is not an effect ) must exist.

Rather, it simply argues that a First Cause ( e. g. the Big Bang, God, or an unarticulated First Cause ) must exist.

First, large areas of the image may be empty of primitives ; rasterization will ignore these areas, but pixel-by-pixel rendering must pass through them.

First we must also define where our view point is, that is, from what vantage point will the scene be drawn.

First, claiming that " basic beliefs " must exist, amounts to the logical fallacy of argument from ignorance combined with the slippery slope.

First, Kant argues that to act in the morally right way, people must act from duty ( deon ).

First, all corners, points that belong to ( technically, are in the closure of ) three or more countries, must be ignored.

First, Britain must give an assurance of full independence for India after the war and allow the election of a constituent assembly to frame a new constitution ; second, although the Indian armed forces would remain under the British Commander-in-Chief, Indians must be included immediately in the central government and given a chance to share power and responsibility.

The Dialogue is a later work than the First Apology ; the date of composition of the latter, from the fact that it was addressed to Antoninus Pius, Marcus Aurelius, and Lucius Verus his adopted sons, must fall between 147 and 161.

First published on 21 February 1848, it laid out the beliefs of the Communist League, a group who had come increasingly under the influence of Marx and Engels, who argued that the League must make their aims and intentions clear to the general public rather than hiding them as they had formerly been doing.

First, the company must have market power.

First the membrane must be prepared.

: " 1 ... First then must be put the holy quaternion of the gospels ; following them the Acts of the Apostles ... the epistles of Paul ... the epistle of John ... the epistle of Peter ... After them is to be placed, if it really seem proper, the Book of Revelation, concerning which we shall give the different opinions at the proper time.

If a lower court judge disagrees with a higher court precedent on what the First Amendment should mean, the lower court judge must rule according to the binding precedent.

First, if the rules specify that ties are acceptable, then a player declaring swing must win or tie both directions to win anything, but if he does, he is entitled to his appropriate share.

* To rebut the accusation of denying the catholicity and indefectibility of the Church, they say that, between the death of every Pope and the election of his successor, there is a sede vacante period during which there is no visible Head of the Church, and — while mainstream Catholics hold that, according to the dogmatic constitution Pastor aeternus of the First Vatican Council, which speaks of " perpetual successors " in the pontificate, there must be, apart from such transitory periods, a perpetual presence of the Bishop of Rome, not merely of his office — that the absence of a Pope has become a long-term feature of the Church's structure.

First it allows the buyer and manufacturer both to shop for the best deal for their needs, rather than having to settle on one fixed design — the buyer can choose the body and the chassis separately.

The competition formed as the FA Premier League on 20 February 1992 following the decision of clubs in the Football League First Division to break away from The Football League, which was originally founded in 1888, and take advantage of a lucrative television rights deal.

At the beginning of the First Punic War, Rome had virtually no experience in naval warfare, whereas Carthage had a great deal of experience on the seas thanks to its centuries of sea-based trade.

The company was named Associated Producers and was a joint venture between Hawks, Allan Dwan, Marshall Neilan and director Allen Holubar, with a distribution deal through First National.

First Students at Macquarie UniversityThe idea of founding a third university in Sydney was flagged in the early 1960s when the New South Wales Government formed a committee of enquiry into higher education to deal with a perceived emergency in university enrollments in New South Wales.

First the brainchild of local sports entrepreneur Dave Dixon, who also founded the Louisiana Superdome and the USFL, the Saints were actually secretly born in a backroom deal brought about by Congressman Hale Boggs, Senator Russell Long and NFL Commissioner Pete Rozelle.

First he invoked the Bidlack-Mallarino Treaty ; second, he made it clear that Colombia had rejected his government ’ s offers for a deal ; and finally, he demonstrated that Colombia had never been capable of preventing Panama from regaining its sovereignty.

The term is sometimes used to describe Ebionitism, which was rejected by the ecumenical councils, especially in the First Council of Nicaea, which was convened to deal directly with the nature of Christ's divinity.

Kelly signed the deal under two conditions: First that, one out of every two years, she have time off to work in the theater and second, that she be able to live in New York City, at the now-landmarked Manhattan House, at 200 E. 66th Street.

* First look deal

The First Red Army crossed the Yangtze on May 9, 1935, finally escaping determined enemy pursuit, but still had to deal with dangerous mountain passes at heights of up to 4, 000 meters, rough climatic conditions, shortages of food, clothing, and equipment, and tribes of local ethnic minorities hostile to Chinese encroachment.

William of Aquitane, for example, was involved in the First Crusade, and in the ongoing Reconquista in Spain, so that he would have come into contact with Muslim culture a great deal.

The Treaty provided for the creation of subsidiary courts below the European Court of Justice and the Court of First Instance to deal with special areas of law such as patents.

In 2008, the channel signed a deal with First Look Pictures to air their films.

First, Marius had to deal with the Teutones, who were in the province of Narbonensis marching toward the Alps.

First, the Japanese arrived with a great deal of supplies and later the Allied forces did likewise.

First came the Battle of Afabet in March 1989, which was a humiliating defeat at the hands of the Eritrean People's Liberation Front, with 15, 000 casualties and the loss of a great deal of equipment.

For example, current works that deal with the First and Second Taiwan Strait Crises ( the Quemoy Incident ) when the islands received prominent worldwide news coverage as " Quemoy " still use this form.

First, this narrow sense can only deal with texts in languages that use only only the English letters.

Fuller saw a great deal of action in World War II as a member of the US First Infantry Division, which was nicknamed The Big Red One for the red numeral " 1 " on the Division's shoulder patch.

Flight attendants are trained to deal with a wide variety of emergencies, and are trained in First Aid.

Psilanthropism, under the name of Ebionitism, was rejected by the ecumenical councils, especially in the First Council of Nicaea, which was convened to deal directly with this.

His run started with " Dangerous Habits " ( 41-46 ), which was the basis for the 2005 film Constantine, and dealt with John Constantine contracting lung cancer, and the desperate deal he makes with the First of the Fallen, and various other lords of Hell, to save himself.

In February 1981 The Bureau signed a deal with record label WEA and recorded their debut single " Only For Sheep / The First One " with producer Pete Wingfield at London's Vineyard Studios.

He took great interest in the débuts of the Liberal empire, while trying to parry the blow which the Ultramontanes were preparing to deal to Liberal ideas by proclaiming in the First Vatican Council the dogma of papal infallibility.