" Asteroids was so popular that video arcade operators sometimes had to install larger boxes to hold the number of coins that were spent by players.

In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

( Solution: if any number of each box is available, then three yellow boxes and three grey boxes ; if only the shown boxes are available, then all but the green box.

In the mid 2000s, a number of karaoke bars sprouted in Sydney with karaoke boxes frequented by Japanese students and tourists and a few locals, especially on Thursday nights and weekends.

: These are usually traditional boxes, but these " mystery " boxes have either vague starting areas, no starting areas, no descriptions, no clue -- any number of things to make the box extremely hard to find.

* The P (" plants ") count is the number of boxes the letterboxer has made and placed.

* The F (" finds ") count is the number of boxes the letterboxer has found in the wild.

There are also a number of special presentation items including a walking stick, cigar boxes, silver gravy boats from the Kooyong electorate and a silver inkstand presented by Queen Elizabeth II.

The dwellings contain a number of stone-built pieces of furniture, including cupboards, dressers, seats, and storage boxes.

NeXTSTEP also created or was among the very first to include a large number of other GUI concepts now common in other operating systems: 3D " chiseled " widgets, large full-color icons, system-wide drag and drop of a wide range of objects beyond file icons, system-wide piped services, real-time scrolling and window dragging, properties dialog boxes (" inspectors "), window modification notices ( such as the saved status of a file ), etc.

Carlton and Granada stepped in and paid £ 2. 8m to have the boxes stay with their customers, as at the time the ITV companies received a discount on their licence payments based on the number of digital homes they had converted.

Simple box models, i. e. box model with a small number of boxes whose properties ( e. g. their volume ) do not change with time, are often useful to derive analytical formulas describing the dynamics and steady-state abundance of a species.

According to early histories, the offer of Andrew Holmes ' log house as capitol for seven years, a number of town lots, £ 50 worth of locks and hinges, 10 boxes of glass, 1, 500 pounds of nails, and $ 3, 000 in gold helped the decision go to Frankfort.

Although it had been considered state-of-the-art when it opened, it was now considered obsolete due to a limited number of luxury boxes.

In Yolo County, most of highway 84 is unsigned, but there are call boxes that indicate the highway number along state route 84 south of West Sacramento to the Solano County line.

The mythology is evidenced by a number of sources in different media ; for example, representations on large numbers of pottery, inscriptions and engraved scenes on the Praenestine cistae ( ornate boxes ; see under Etruscan language ) and on specula ( ornate hand mirrors ).

Some of these boxes were targeted for artists and contained crayons with no wrappers, while others had a color number printed on the wrapper that corresponded to a number on a list of color names printed inside the box lid, but some boxes contained crayons with their color names printed on their wrappers.

The numbered boxes represent bridges ( the number represents the bridge ID ).

It is one of the ironic quirks of history that the viability and usefulness of nationalism and the territorial state are rapidly dissipating at precisely the time that the nation-state attained its highest number ( approximately 100 ).

It is worth dwelling in some detail on the crisis of this story, because it brings together a number of characteristic elements and makes of them a curious, riddling compound obscurely but centrally significant for Mann's work.

The cyclist, a sufficiently commonplace young fellow, is not named but identified simply as `` Life '' -- that and a license number, which Piepsam uses in addressing him.

Presumably a cocktail party is expected to fulfill the host's desire to get together a number of people who are inadequately acquainted and thereby arrange for bringing the level of acquaintance up to adequacy for future cooperative endeavors.

The number of primitive ideas in systematically-simple theories is reduced to a minimum.

I assume that the number of readers of this anthology who regard themselves as morally perfect is small, and that most readers are willing to consider procedures by which they may gain more insight into themselves and better understanding of others.

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.

There are a number of other considerations besides this one but it is for the Congress, not the Department of Justice, to balance these various considerations and make a judgment about legislation.

Nonetheless, although few in number they are a stubborn crew, as tenacious of life as the Hardshell Baptists, which suggests that there is some kind of vital principle embodied in their faith.

For that is the one an increasingly large number of prominent Americans are now proposing.

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.

Too bad your number is in the directory ''.

The number of countries thus favorably situated is small, but their peoples constitute over half of the population of the underdeveloped 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 ''.

The Navy, on April 25, announced it is bringing back the carrier Shangri-La from the Mediterranean, increasing to four the number of attack carriers in the vicinity of Cuba.

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

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.

In the daytime, on the other hand, since skywave transmission is relatively inefficient, it is possible to assign a substantially larger number of stations on these channels.

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.

Each point on C, as a vertex, may possess a finite number of corresponding diagonal points by the above construction.

We note that two such curves C and Af, cannot coincide at more than a finite number of points ; ;

The graph, as a set, may have a finite number of components.

Furthermore, one can find a neighborhood of Q in which the difference function is monotone, for since it is analytic it can have only a finite number of extrema in any interval.

Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.

In many cases it is not possible to divide the process into a finite number of discrete stages, since the state of the stream is transformed in a continuous manner through the process.

The former represents a choice between a finite number of known and meaningful context-dependent interpretations.

Starting from an initial state and initial input ( perhaps empty ), the instructions describe a computation that, when executed, will proceed through a finite number of well-defined successive states, eventually producing " output " and terminating at a final ending state.

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.

( A formal proof for all finite sets would use the principle of mathematical induction to prove " for every natural number k, every family of k nonempty sets has a choice function.

It differs from a digital signal, in which a continuous quantity is represented by a discrete function which can only take on one of a finite number of values.

All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

An even stronger assertion is that It is impossible by any procedure to reduce the temperature of a system to zero in a finite number of operations.

For example, the number of solutions of an equation over a finite field reflects the topological nature of its solutions over the complex numbers.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

Shot noise is a type of electronic noise that occurs when the finite number of particles ( such as electrons in an electronic circuit or photons in an optical device ) is small enough to give rise to statistical fluctuations in a signal.

It is often convenient to write this as an infinite product over all the primes, where all but a finite number have a zero exponent.

Finite geometry is the study of geometric systems having only a finite number of points.

* Conical combination, a conical sum of a finite number of vectors

Even in this case, however, it is still possible to list all the elements, because the set is finite ; it has a specific number of elements.