The number of boxes is finite, so eventually our choice procedure comes to an end.

If we try to choose an element from each set, then, because X is infinite, our choice procedure will never come to an end, and consequently, we will never be able to produce a choice function for all of X.

Alternatively, a coin may be tossed, with the winners choosing whether to serve or receive first, or choosing which end of the court to occupy, and their opponents making the leftover the remaining choice.

Diddley sensed the choice of song would end his career then and there, and instead sang his # 1 hit " Bo Diddley ".

It is difficult to compare the protocols in their current form ; the individual client choice will probably have as much an effect to an end user on either network.

By the end of the season, he had performed so well that the league made him the unanimous choice for Rookie of the Year.

In the end, North Korea could not condemn a neighbor that was easily capable of putting a million troops on the border poised to invade, and had no choice but to lie low until the Cultural Revolution ended.

Although parchment never stopped being used ( primarily for governmental documents and diplomas ) it had ceased to be a primary choice for artist's supports by the end of 15th century Renaissance.

There is more than one method for doing division, but the method presented here has the advantage that the final result cannot be off-scale, because one has a choice of using the 1 at either end.

In the preface to the fourth edition he stated his belief that proportional representation would '... end the evils of corruption, violent discontent and restricted power of selection or voter choice '.

A party committee may choose to endorse one or another of those who is seeking the nomination, but in the end the choice is up to those who choose to vote in the primary, and it is often difficult to tell who is going to do the voting.

By the end of the 19th century the white dress was the garment of choice for elite brides on both sides of the Atlantic.

( In the very first series of the British version and until the end of the 2003 season in the Australian version, Fastest Finger First required the contestants to answer one multiple choice question correctly as quickly as possible.

Warners kept their end of the bargain, and gave Huston his choice of subject.

This vision was strongly criticised at the end of the 18th century, with the development of the idea of Homo Economicus and subsequently with ' rational choice theory '.

Cro-Magnons relied heavily on reindeer for food, skins, tools and weapons ; with dropping temperatures and increased reindeer numbers at the end of the Pleistocene, they became the prey of choice.

Many of the new immigrants dropped their traditional customs and laws, both out of choice ( the U. S. offered them a chance to escape what they viewed as the constraints of religious identity ) or not ( Jews refusing to work on the Sabbath were almost always fired at the end of the week ;; the large majority of those who desisted from working on Saturday had to face the formidable challenge of finding new work each week ).

The signing of Alex Stepney at the end of that season briefly threatened his position as Chelsea's first choice goalkeeper and he considered putting in a transfer request, but Stepney ultimately played only one game for the club and was sold to Manchester United a few months later.

A mysterious barkeep ( Bruce McGill ) appears to know much more about Sam's leaping, but in the end convinces Sam that he is in control of his own leaping, and that it is his choice to return home or not.

At the end of 60 seconds, the champion was given a choice to quit with the money they had won or risk it all on an open-ended double-or-nothing question, with the category given to the champion before they made the decision.

In his 2006 book about Virginia Woolf he stated that she put an end to her life by a conscious and deliberate act, her suicide being an expression of her freedom of choice.

Thus the long and exciting discussion touching the removal of Williams College and the location of a college in some more central town of old Hampshire County at length came to an end, and the contending parties now directed all their energies to building up the institutions of their choice.

By the end of the decade, he had moved to the United States, but his choice of roles was often criticisedhe admitted to and has since made many self-deprecating comments about taking parts, strictly for the money, in numerous films he knew to be bad, despite working with Hollywood's highly regarded directors such as Irwin Allen, Richard Fleischer, Michael Ritchie and Oliver Stone.

The last chapter of the novel would be finished in Atlanta while Clarke and Macauley discussed racial issues ; these conversations may have influenced the development of the last chapter, particularly Clarke's choice of making the character of Jan Rodricks — the last surviving member of the human species at the end of the novel — an African American.

Sometimes, you have a choice of exposure for sites where the topography or trees of the area will provide afternoon shade, morning sun, or whatever may be most desirable for the use intended.

For outdoor signs and displays, where the problem of weathering resistance is no longer a factor, the choice of plastics is almost unlimited.

They had been kind to us and we were indebted to them for one or two pleasant dinners, and for information as to where to shop, which dentist, doctor, plumber, and sitter to call ( not that there was much of a choice, since Catatonia was just a village ; ;

For a single stage we may define Af where the maximization is by choice of Af.

If to be a Christian means to say yes where I otherwise say no, or where I do not have the right to say anything at all, then my only choice is to refuse to be a Christian.

The axiom of choice has also been thoroughly studied in the context of constructive mathematics, where non-classical logic is employed.

In constructive set theory, however, Diaconescu's theorem shows that the axiom of choice implies the law of the excluded middle ( unlike in Martin-Löf type theory, where it does not ).

His report of life there covers a wide range of topics, such as marriage in heaven ( where all angels are married ), children in heaven ( where they are raised by angel parents ), time and space in heaven ( there are none ), the after-death awakening process in the World of Spirits ( a place halfway between Heaven and Hell and where people first wake up after death ), the allowance of a free will choice between Heaven or Hell ( as opposed to being sent to either one by God ), the eternity of Hell ( one could leave but would never want to ), and that all angels or devils were once people on earth.

The choice was unfortunate, for Theodahad fostered the disaffection of the Goths, and either by his orders or with his permission, Amalasuntha was imprisoned in the island of Martana in the Tuscan lake of Bolsena, where on 30 April in the spring of 534 / 535 she was murdered in her bath.

In the first two cases above, " on an error " includes situations where the batter makes a clean hit ( or walks, is hit by pitch, reaches base on a fielder's choice in which no out is made, or reaches base on a wild pitch on a called or swinging third strike ), but should have been out earlier in his at bat on a foul fly ball which was dropped by a fielder for an error.

The choice of stroke depends on how near the shuttlecock is to the net, whether it is above net height, and where an opponent is currently positioned: players have much better attacking options if they can reach the shuttlecock well above net height, especially if it is also close to the net.

Like Case, many cyberpunk protagonists are manipulated, placed in situations where they have little or no choice, and although they might see things through, they do not necessarily come out any further ahead than they previously were.

They rapidly ceased to be used for most purposes, an exception being some high-voltage high-current applications subject to large transient peaks, where their robustness to abuse made them the best choice.

These models where produced with a 1, 000 cc two-stroke engine, with a choice between or S versions until 1963.

The British insisted Abdur Rahman accept sovereignty over this remote region where unruly Kyrgyz held sway, he had no choice but to accept Britain's compromise.

It is an approach to learning that gives students flexibility and choice over what, when, at what pace, where, and how they learn.

Intuitively, the distinction says merely that there is no canonical choice of where the origin should go in the space, because it can be translated anywhere.

For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).

The growing fame of Ely Culbertson, however, prompted Goren to abandon his original career choice to pursue bridge competitions, where he attracted the attention of Milton Work, who had developed the Work Point Count system.

Hitler took charge in Munich, where Röhm was arrested ; he gave Röhm the choice to commit suicide or be shot.

Only the Bene Gesserit perceive the Golden Path and are therefore faced with a choice: keep to their traditional role of hidden manipulators who quietly ease tensions and guide human progress while struggling for their own survival, or embrace the Golden Path and push humanity onward into a new future where humans are free from the threat of extinction.

In Southeast Asian countries where Muslim Malay peoples live, such as Malaysia, Indonesia and the Philippines, ivory was the material of choice for making the handles of kris daggers.