The rules restricting the values of the quantum numbers, and their energies ( see below ), explain the electron configuration of the atoms and the periodic table.

In fact, it can be any positive integer, but for reasons discussed below, large numbers are seldom encountered.

The table below gives the numbers considering that the game ends in a push when a 12 is rolled, rather than being undetermined.

The DTMF system uses eight different frequency signals transmitted in pairs to represent 16 different numbers, symbols and letters-as detailed below.

The input to the DFT is a finite sequence of real or complex numbers ( with more abstract generalizations discussed below ), making the DFT ideal for processing information stored in computers.

The original proof is based on the Taylor series expansions of the exponential function e < sup > z </ sup > ( where z is a complex number ) and of sin x and cos x for real numbers x ( see below ).

As a rough guide, compressible effects can be ignored at Mach numbers below approximately 0. 3.

Cantor's next article contains a construction that proves the set of transcendental numbers has the same " power " ( see below ) as the set of real numbers .< ref > Cantor's construction starts with the set of transcendentals T and removes a countable subset

As of Feb 17, 2012, M41 is the largest Mersenne prime for which it is known that there is no other unknown Mersenne prime below, with a lower exponent, since all Mersenne numbers with prime exponent below 24, 212, 801 have been checked twice.

Low numbers ( below 31 and especially below 12 ) are popular because people play birthdays as their so-called lucky numbers ; hence a win in which these numbers are over-represented is more likely to result in a shared payout.

Using their data on the time occupied by travel to work, Table 2 below shows the absolute number of people who responded with travel times " at least 15 but less than 20 minutes " is higher than the numbers for the categories above and below it.

When CD4 < SUP >+</ SUP > T cell numbers decline below a critical level, cell-mediated immunity is lost, and the body becomes progressively more susceptible to opportunistic infections.

" The definition can be extended to non-zero complex numbers, as explained below.

He finished with 35 homers, far below his numbers of his best years.

In the original article (" On computable numbers, with an application to the Entscheidungsproblem ", see also references below ), Turing imagines not a mechanism, but a person whom he calls the " computer ", who executes these deterministic mechanical rules slavishly ( or as Turing puts it, " in a desultory manner ").

The adjustments needed to establish a uniform and coordinated fiscal tax collection year calendar throughout Rhode Island, based on a July 1 to June 30 year, are shown below.

and second, to increase uniformly the allotments to those States whose allotments are below their maximums, with adjustments to prevent the allotment of any State from thereby exceeding its maximum.

Factory stocks in recent months have been the highest they have been in three years, while those at retail are below 1959.

After the frames and transom are set up on the jig and temporarily braced, a piece of three-inch-wide mahogany ( only widths will be given since the 13/16-inch thickness is used throughout ) is butted between frames one and two below the line of the keelson.

The purpose of washing is, obviously, to remove soils which are arbitrarily classed in the four major categories given below: 1.

However, the regionally differentiated results, which appear below in tables, are interesting evidence of the problems of developing self-government under even the most favorable circumstances.

Less ambitious freeway plans may be more successful -- especially when the roadways and interchanges are raised, allowing for cross access at many points and providing parking areas below the ramp.

Readers interested in additional information on foams are referred to the Foamed Plastics Chart appearing in the Technical Data section and to the list of references which appears below.

some of these are listed below: ( A )

Since we are considering here relatively small diameter ( 1 - 1.5 inches ) fiber plates, their average thickness can be kept below 1/4 inch and their internal losses may be assumed as 15 percent ( per plate ).

The integrals ( in units ) are listed in table 14-1, below.

General requirements for land, labor, and equipment are discussed below.

Discussed below are some of the main things to look for when you select a part-time farm.

The ideal storage temperature for long periods is about fifty-five degrees, with an allowable range of five degrees above or below this, provided there are no sudden or frequent changes.

With dealer stocks of new equipment averaging about 25% below a year ago, the affects of the rural recovery are being felt almost immediately by the country's farm equipment manufacturers.

The films below are listed with their production year, so the Oscar 2000 for best art direction went to a film from 1999.

For this reason the examples given below are grouped by voltage level.

The families of the Asparagales, as set out in the APG III system, are briefly surveyed below.

Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.

This led to americium being located right below its twin lanthanide element europium ; it was thus by analogy named after another continent, America: " The name americium ( after the Americas ) and the symbol Am are suggested for the element on the basis of its position as the sixth member of the actinide rare-earth series, analogous to europium, Eu, of the lanthanide series.

This education, history, and background are hinted at in the Margaret Rutherford films ( see below ), in which Miss Marple mentions her awards at marksmanship, fencing and equestrianism ( although these hints are played for comedic value ).

: When comparing the above illustration to the below text, please note that the above x: y aspect ratio values are shown as vertical orientation rectangles to better demonstrate visual differences, whereas the aspect ratio values of the text below are written as rotated horizontal orientation rectangles ( e. g. compare 3: 4 vertical orientation illustration to 4: 3 horizontal orientation text ).

However, this definition only works well for substances that are composed of molecules, which is not true of many substances ( see below ).

Some have suggested that such coins not be considered to be " true coins " ( see below ).

Wild Syrian hamsters are true hibernators and allow their body temperature to fall close to ambient temperature ( but not below 20 ° C ).

Below this list, one writes rows, and below one fills in the first half of the rows with true ( or T ) and the second half with false ( or F ).

In contrast to submachine guns and autocannons, machine guns ( like rifles ) tend to share the characteristic of a very high ratio of barrel length to caliber ( a long barrel for a small caliber ); indeed, a true machine gun is essentially a fully automatic rifle, and often the primary criterion for a machine gun as opposed to an automatic rifle is the presence of a quick-change barrel or other cooling system ( see below ).

Magritte painted below the pipe " Ceci n ' est pas une pipe " (" This is not a pipe "), which seems a contradiction, but is actually true: the painting is not a pipe, it is an image of a pipe.

The question of what is a proper basis for deciding how words, symbols, ideas and beliefs may properly be considered true, whether by a single person or an entire society, is dealt with by the five major substantive theories introduced below.

For true ( in vacuo ) specific gravity calculations air pressure must be considered ( see below ).

In single mode optical fibre measurements, it is used to enforce true single mode propagation at wavelengths near or below the theoretical cutoff wavelength, at which substantial power can exist in a higher order mode group.

For observers near sea level the difference between this geometrical horizon ( which assumes a perfectly flat, infinite ground plane ) and the true horizon ( which assumes a spherical Earth surface ) is imperceptible to the naked eye ( but for someone on a 1000-meter hill looking out to sea the true horizon will be about a degree below a horizontal line ).

An indication of the unresolved status of the " nature abhors a vacuum " principle at that time may be taken from Pascal's opinion, expressed in the conclusion of the Nouvelles Experiences, when he writes: " I hold for true the maxims set out below: ( a ) that all bodies possess a repugnance to being separated one from another and from admitting a vacuum in the interval between them-that is to say that nature abhors a void.

However, they maintain that their general argument remains intact, that their predictions were merely illustrative, that their and others ' warnings caused preventive action, or that many of their predictions may yet come true ( see Ehrlich's response below ).

( This statement is not true in SI units ; see below.

* The true hawks are medium-sized birds of prey that usually belong to the genus Accipiter ( see below ).

) The equation below holds true for the two-body ( Body A, Body B ) system collision in the example above.

Compounds with atoms other than carbon and fluorine are not true fluorocarbons and they are considered as fluorocarbon derivatives in a separate section below.

This may be true for the traditional Akan culture below, for example.

If pH is below the pKa value, the converse is true.

English has almost no true infixes ( as opposed to tmesis, see below ), and those it does have are marginal.

F. S. L. Lyons ( below, p. 324 ) commented that Harrison " did more than anyone else to uncover what seems to have been the true facts " about the Parnell-O ' Shea liaison.

These restrictions also held true for the Leica CL ( below ).

Although often referred to as flying wings, these types carry the pilot ( and engine where fitted ) below the wing structure rather than inside it, and so are not true flying wings.