In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.

This happens when a player has almost no walks or times hit by pitch, with a higher number of sacrifice flies ( e. g. if a player has 2 hits in 6 at bats plus a sacrifice fly, his batting average would be. 333, but his on-base percentage would be. 286 ).

This is, in fact, the inverse of what actually happens, even on a fair chance of a successful event, given a set number of iterations.

( As it happens, no financial assistance was provided to LTCM by the US Federal Reserve, so there was no direct cost to US taxpayers, but a large bailout had to be mounted by a number of financial institutions.

The possesser also reaches one of the Kulu colonies, resulting in the loss of a peninsula, which is transported by the local possesser into another dimension ( this is what happens when the possessers reach a certain number on a planet or in a certain area ).

Now consider what happens if a large number of people, all located at random positions at the end of the pool, vibrate sticks at the same frequency, but varying amplitudes and phases.

A probability is a real number between zero ( impossible events have probability zero, though probability-zero events need not be impossible ) and one ( the event happens almost surely ).

As a result, a woman who happens to undergo a strong perimenopause with a large number of different effects, may become confused and anxious, fearing that something abnormal is happening to her.

When that happens, A complements ( flips ) the sequence number and starts transmitting the next message.

The third byte represents the number 42 which happens to be the ASCII character "*", also represented by hexidecimal 2A, selected because this is the binary pattern 101010 and " for its deep philosophical significance ".

When this happens, the chromosome number is variable from one individual to another.

Even after a sufficient number of sodium channels have transitioned back to their resting state, it frequently happens that a fraction of potassium channels remains open, making it difficult for the membrane potential to depolarize, and thereby giving rise to the relative refractory period.

This typically happens in a market for inputs where numerous suppliers are competing to sell their product to a small number of ( often large and powerful ) buyers.

A chain tool is usually needed to shorten a chain, even when a fast-release link is being used, unless the combined number of links plus the connection link just happens to be the length required.

When this happens ( usually in areas with a limited number of trees or with abundant food resources ), a diffuse colony is formed.

This is due to a number of factors including the small physical size of the nest cavity, the responsibility of a single female for the initial construction and reproduction that happens within the nest, and the restriction of the colony to a single season ( in most species ).

If this happens the cerebrospinal fluid will begin to accumulate again and a number of physical symptoms will develop ( headaches, nausea, vomiting, photophobia / light sensitivity ), some extremely serious, like seizures.

More generally, it often happens in combinatorics that certain values are considered to be a member of a given class by virtue of an empty sum, for instance 0 is a triangular number because of

A number of studies have found that flashbulb memories are formed immediately after a life changing event happens or when news of the event is relayed.

When this happens, the number of extra lives obtained sometimes changes the notification from " 1-up " to the number that reflects the total lives earned: Two lives would be " 2-up ", five lives would be " 5-up ", and so on.

For example, it may not always be clear if a number like 1300 is precise to the nearest unit ( and just happens coincidentally to be an exact multiple of a hundred ) or if it is only shown to the nearest hundred due to rounding or uncertainty.

They conjecture that the game is a draw also when the number of cell is at least twice the number of lines, which happens if and only if 2 k ^ n ≥ ( k + 2 )^ n.

If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.

Secretary of War Baker, blindfolded, put his hand into a large glass bowl and drew the initial number of those to be called.

That is how the real routine of resistance goes on, and its strength is directly proportionate to the number of insignificant people who can let themselves be taken to pieces, piece by piece, without quitting.

Although the United States and the U.S.S.R. have been arguing whether there shall be four, five or six top assistants, the most important element in the situation is not the number of deputies but the manner in which these deputies are to do their work.

and it is still very far from certain how valid the party's claim is that in `` a growing number of kolkhozes '' the peasants are finding it more profitable, to surrender their private plots to the kolkhoz and to let the latter be turned into something increasingly like a state farm.

The whole program must be conceived of as an effort, stretching over a considerable number of years, to alter the basic social and economic conditions in the less developed world.

The resulting setup, it was declared, `` would be similar to that which is in successful operation in a number of metropolitan counties as large or larger than Rhode Island ''.

This apparatus will also be used to measure transition probabilities of a large number of other elements.

These data are not of the precision obtainable by the methods previously mentioned, but the vast number of approximate values available will be useful in many areas.

The Peace Corps can either begin in very low gear, with only preparatory work undertaken between now and when Congress finally appropriates special funds for it -- or it can be launched now and in earnest by executive action, with sufficient funds and made available from existing Mutual Security appropriations to permit a number of substantial projects to start this summer.

There is little doubt that the number of those who wish to serve will be far greater than our capacity to absorb them.

These expenditures are estimated to be $12.1 billion, an increase of $187 million over 1960, reflecting additional longevity pay of career personnel, more dependents, an increased number of men drawing proficiency pay, and social security tax increases ( effective for the full year in 1961 compared with only 6 months in 1960 ).

Rather, such assignments are made, as they must be, on the basis of certain overall rules and standards, representing to some extent a statistical approach to the problem, taking into account for each situation some of the variables ( e.g., power and station separations ) and averaging out others in order to achieve the balance which must be struck between protection against destructive interference and the assignment of a number of stations large enough to afford optimum radio service to the Nation.

Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.

During nighttime hours, because of the intense skywave propagation then prevailing, no large number of stations can be permitted to operate on one of these channels, if the wide area service for which these frequencies are assigned is to be rendered satisfactorily by the dominant stations which must be relied upon to render it.

Additional class 2, assignments for daytime operation can be made without causing destructive interference to the class 1, stations or to each other, and by their operation provide additional service on these channels and additional local outlets for a large number of communities.

Such additional daytime class 2, assignments are appropriate if optimum use is to be made of these frequencies, and the Commission has over the years made a large number of them.

In addition, production machinery must in many cases be designed to handle with equal efficiency both natural fibers and the increasing number of synthetics, as well as blends.

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

The number of locking bars required depends on how many false moves must be prevented.

It is a number without which the equation cannot be solved correctly.

The depth gauge rod can now be set, and any number of holes bored to exact and identical depth.