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 priority will be given to the preparation of a meaningful state guide plan to serve as a background for all other planning activities in the state.

First, the present situation is too varied to be systematized by any single formula.

First on my own list would be two arms -- a rifle and a handgun -- that qualify as new in the strictest sense.

First of the problems attacked would be fatigue and emotional tension, since action relieves both.

Essentially this imposed two conditions: First, international law had to recognize and be compatible with an international political system in which a number of states were competitive, suspicious, and opportunistic in their political alignments with one another ; ;

First, it appears to be based on the fact that on its title page Utopia is described as `` festivus '', `` gay ''.

One of Mrs. Kennedy's initial concerns as First Lady was the sad state of the furnishings in a building which is supposed to be a national shrine.

Of particular meaning to the Charles MacWhorter family, 3181 SW 24th Ter., will be the Family Dedication Service planned for 10:50 a.m. Sunday at First Christian Church.

It was the first in the series of `` Concerts for Young People by Young People '' to be sponsored by First Lady Jacqueline Kennedy at the White House.

To be sure, when this is pointed out, a common response among certain churchmen is to fulminate about `` the little flock '' and `` the great crowd '' and to take solace from Paul's castigation of the `` wisdom of the wise '' in the opening chapter of First Corinthians.

A decade and a half later, the Polish anthropology student, Bronisław Malinowski ( 1884 – 1942 ), was beginning what he expected to be a brief period of fieldwork in the old model, collecting lists of cultural items, when the outbreak of the First World War stranded him in New Guinea.

Later writers sometimes preface Alhazred with words such as " monk " ( such as in the Chick parody tract " Who will be Eaten First?

First they will be exposed to pictures of spiders.

The campaign was sure to be a struggle ; the Whigs nominated their " Eagle Orator " Gustavus Henry, and Johnson wasted no time in calling him to task for his " Henry-mandering " of the First District, as their debates made their way across the state from one county seat to the next.

The ensuing 3-year conflict will later be known as the First Opium War.

Prior to the First Buddhist Council, it was proposed that Ananda not be permitted to attend on the grounds that he was not yet an arahant.

This was quickly remedied by First Byte Computers who developed an interface and software which allowed a " switched " joystick to be used with the majority of software titles.

For the educational market a version of the first model was produced with a new plastic enclosure ( the First Asters had an all-metal enclosure ) that also had an opening on the top in which a cassette recorder could be placed.

In the narrower sense environmental activists that align themselves with Earth First or Road Protestors would commonly be labelled activists, whilst a local community fighting to stop their park or green being sold off or built on would fit the broader application, due to their using similar means to similarly conservative ends.

After 1806, the First Lord of the Admiralty was always a civilian, while the professional head of the navy came to be ( and is still today ) known as the First Sea Lord.

It was declared to be a heresy in 381 by the First Council of Constantinople, since Christ was officially depicted as fully human and fully God.

The specific titles will be " The Restatement ( First ) of Contracts " or " The Restatement of Agency " etc.

First results were disappointing as no alpha-particle emission signature could be detected from the elution product.