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* E = {x | x is a positive integer} ...s in the British Library" or "E is the set of all x, where x is a positive integer".

The set of [[integer]]s is countably infinite. Indeed, the function

The set of [[integer]]s is countably infinite. Indeed, the function

...esting address ranges. Comparisons using a mask are faster than a general integer range test, but the blocks are limited to sizes that are a power of two (1,

...e main exception to this is the most common case, where a polynomial has [[integer]] coefficients but one desires real number solutions. If, instead, one dem

Newton's generalizations opened routes to areas not primarily connected to [[integer]]s, namely [[nth root|numeric root]]s (like the [[square root]]s) and [[log Suppose we replace the exponent 2, an [[integer]], by the exponent <math>\frac{1}{2}~</math>, a fraction. When the exponent

...h>&nbsp; of configurations (where <math>\ n</math>&nbsp; is a non-negative integer) such that the following six conditions hold: Territory counting also needs an non-integer number as komi to prevent a draw where

Due to the appearance of the integer coefficient 2''n'' in the last term the solutions are polynomials. We see t

...s, often from [[number theory]]. The hardness of RSA is related to the [[integer factorization]] problem, while Diffie-Hellman and DSA are related to the [[

...umber 60, and accordingly has the frequency 261.625... Hz, which is not an integer number of cycles/second. ...upon equal temperament and so are integers, a number ''n'' that is not an integer can be used to refer to "microtones" not found on standard piano keyboards.

...ine equations'' when we speak of polynomial equations to which rational or integer solutions must be found. ...e results on integer numbers; in particular, he seems to assume that every integer is the sum of four squares, though he never states as much explicitly.

...is not such a problem with polynomials over rings of usual numbers like [[integer]]s, [[rational number|rational]], [[real number|real]] or [[complex number|

...j+1, \ldots, j</math>. (For SO(3) the ''quantum number'' <math>j</math> is integer.)

...that process are reduced by translating addresses in hh:mm:ss:ff format to integer frame counts. The arithmetical manipulations are then applied to simple int

:(13) <math>L=\log(L)+2\pi \!~{\rm i} ~m~</math> for some integer <math>m</math>

For a set of integer-valued data points <math>\{x_{i}\}</math>, <math> i = 1, \dots , N</math>,

...'', in which he proved that there is no odd [[perfect number]] (a positive integer that is equal to the sum of its proper divisors, such as 6=1+2+3) with fewe

* ''Integer number'' (starting with a digit or a sign)

...few function calls, it is unlikely that the return value will point to the integer 4. It may seem like other high-level languages, such as [[Java programming

...typical human cell has 46 chromosomes (diploidy or 2''n''), which is an [[integer|integral]] multiple of the basic set of 23 chromosomes found in the sperm a

...s based on the difficulty of certain computational problems, such as the [[integer factorisation]] problem or the [[discrete logarithm]] problem. In many cas

For a finite integer <math>K>0</math>, called the ''control horizon'' or ''horizon'', a real val

...named <code>main</code> which expects no [[parameter]]s and will return an integer number to the [[caller]] (<code>int</code>). Due to a standard convention o

...icity]] and [[Electromagnetism|electromagnetism]], and manifests itself as integer multiples of the ''elementary charge'' often denoted by ''e'' and with a va Electric charge is observed as integer multiples of the elementary charge, with magnitude equal to that of the [[e

...hydrogen atom predicted by the Bohr theory of the atom, which required an integer number of wavelengths around the electron orbit.<ref name=Bohr_atom>

...sk, the new version has the prefix, but uses the [[CIDR]] convention of an integer for prefix length rather than a mask. Since discontiguous masks have not be

** Normally represented by an integer initialized to either 0 or 1

...t not finite. Consider the [[closed interval]]s [''k'',''k+1''] for all [[integer]]s ''k''; there are countably many such intervals, each has measure 1, and

...e optical axis (the straight line through the slit), ''n'' is a positive [[integer|whole number]], and ''λ'' is the [[wavelength]] of the diffracted wave. A

for any angle θ and any [[integer]] ''k''. ...as in the following examples. In fact, the sine, cosine and tangent of any integer multiple of π/60 radians (three degrees) can be found [[Exact trigonometri

The amount of p-character is not restricted to integer values, i.e. hybridisations like sp^2.5 are also readily describe

*<math>\mathbb{Z}</math>, the set of [[integer|integers]]

...math> as does the chromatic number. Indeed, &chi; is the smallest positive integer that is not a root of the chromatic polynomial,

...Hilbert space, there must exist a maximum value ''k''_max of the integer ''k'', such that the ket <math>\scriptstyle |a,b+k_\mathrm{max}\rangle \ne

...re tone associated with the pitch corresponding to a MIDI number ''n'' (an integer between 1 and 128 = 2⁷) is:<ref name=MIDI/> which is meaningful only for frequencies resulting in integer values of ''n'' in the range 1 - 128. Here ''log₂'' is the [[log

kL = n \pi\quad\hbox{for integer}\quad n.

...rent encodings have been tried for text, for integers, and for various non-integer numbers. A discussion of the merits of the various representations is comp

1/2 would give a floating point answer (0.5) instead of an integer one (0). Use 1//2 instead for the latter. The print keyword would now be a

...hem, which are characterized in [[arithmetic]]. The deeper properties of [[integer]]s are studied in [[number theory]], whence such popular results as [[Ferma | [[Natural number]]s|| [[Whole number]]s|| [[Integer]]s || [[Rational number]]s || [[Real number]]s || [[Complex number]]s

...difficulty of a mathematical problem &mdash; the [[RSA algorithm]] from [[integer factorisation]], the [[Diffie-Hellman]] protocol from the [[discrete logari ...mputational difficulty of various problems. The most famous of these is [[integer factorization]] (the [[RSA cryptosystem]] is based on a problem related to

...difficulty of a mathematical problem &mdash; the [[RSA algorithm]] from [[integer factorisation]], the [[Diffie-Hellman]] protocol from the [[discrete logari ...mputational difficulty of various problems. The most famous of these is [[integer factorization]] (the [[RSA cryptosystem]] is based on a problem related to

...ordered lists of scalars, where each element can be accessed by an index (integer). An array is prepended by a '@', e.g. <code>@list</code>. All indexing in

where n is an integer. For example, if n = 5, the equation represents the formation of [[pentane]

...ch-Gordan coefficients]]. The coupled states are labeled by a non-negative integer ''L''. It can be shown that eigenstates labeled by different ''L'' do not m

...2n\pi i</math> could be also considered a value of the "function" for any integer <math>n</math>. However, in numerical calculus, it is preferably to work wi

...it primes, can be encrypted to themselves." Key size is also variable; any integer number of bits. For AES use, the block size would be fixed at 128 bits and

...block under control of the key. Since the message length will rarely be an integer number of blocks, there will usually need to be some form of "padding" to m ...echniques depends on the difficulty of some mathematical problem &mdash; [[integer factorisation]] for RSA, [[discrete logarithm]] for Diffie-Hellman, and so

...h spin 1/2, is stable and is therefore present at 100% abundance. The half-integer spin and high abundance of ³¹P make it useful for nuclear magnet

...h spin 1/2, is stable and is therefore present at 100% abundance. The half-integer spin and high abundance of ³¹P make it useful for nuclear magnet

...the [[angular momentum]] of each electron was constrained to be a positive integer times [[Planck's constant]] ''h'' divided by 2&pi;. Since in Bohr's model [

...ign: baseline"><math> \, t = 2\pi n /(ck)</math></font> for some arbitrary integer ''n''. We assumed here that the direction of '''E''' defines the direction

.... There is also Hausdorff dimension for metric spaces; this one can be non-integer (especially for fractals). Some kinds of spaces (for instance, measure spac

:for certain positive integer <math>\ n</math>. Let <math>\ x,y \in X</math>&nbsp; be such that

body of frequency ''n'' could only take up or release energy in integer packets of ''hn'',

with ''m'' an integer between ''m = −J'' and ''m = J'' and ''g'' the Landé spectroscopic split

...e precisely determined, but the number of particles need not be a simple [[integer]]. The very notion of a [[Vacuum_(quantum_electrodynamic)|vacuum]] becomes

...Across all cultures, pitches whose fundamental frequencies stand in small integer ratios (e.g. octave, 2:1; perfect fifths, 3:2) form consonant intervals, an

...other chemical elements (e.g., [[oxygen]]) to it occur as ratios of small integer (whole) numbers (e.g., 2-to-1 for the quantity of oxygen in carbon dioxide

...n of integers (denoting the quantifier by ''n'', a customary choice for an integer) we can indirectly identify '5' by its relation with the number '25':

The integer 1 is a very simple example of a mathematical object that can be defined in

...is [[Planck's constant]], and <math>n</math> is an arbitrary nonnegative integer number. Such observables are said to be [[Quantization (physics)|quantized]

...long the RR may be kept in a cache and assumed to be valid. It is a 32 bit integer, whose value is measured in seconds

...long the RR may be kept in a cache and assumed to be valid. It is a 32 bit integer, whose value is measured in seconds

...ia. In about 97% of all cases it uses only two random numbers, one random integer and one random uniform, one multiplication and an if-test. Only in 3% of th

...tor to have an energy equal to, e.g., 1.35 ''h'' &nu;, because there is no integer ''n'' such that ''n'' + &frac12; = 1.35. [[Max Planck]]<ref>M. Planck, Anna

...e than one [[elementary charge]]s (although their number is always a small integer). Therefore, it takes a corresponding number of electrons to neutralize the

...e than one [[elementary charge]]s (although their number is always a small integer). Therefore, it takes a corresponding number of electrons to neutralize the