For an example of its use, analysis of the concentration of elements is important in managing a nuclear reactor, so nuclear scientists will analyze neutron activation to develop discrete measurements within vast samples.

For example, an 8-bit CPU deals with a range of numbers that can be represented by eight binary digits ( each digit having two possible values ), that is, 2 < sup > 8 </ sup > or 256 discrete numbers.

For the study of the mechanical behavior of solids and fluids these are assumed to be continuous bodies, which means that the matter fills the entire region of space it occupies, despite the fact that matter is made of atoms, has voids, and is discrete.

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

For microscopic, atomic-level systems like a molecule, angular momentum can only have specific discrete values given by

For example, when a laboratory apparatus was developed that could reliably fire one electron at a time through the double slit, the emergence of an interference pattern suggested that each electron was interfering with itself, and therefore in some sense the electron had to be going through both slits at once — an idea that contradicts our everyday experience of discrete objects.

For real inputs, the real part of is none other than the discrete Hartley transform, which is also involutary.

For elliptic-curve-based protocols, it is assumed that finding the discrete logarithm of a random elliptic curve element with respect to a publicly known base point is infeasible.

For more than 40 years, Paul Ekman has supported the view that emotions are discrete, measurable, and physiologically distinct.

For example, JPEG compression uses a variant of the Fourier transformation ( discrete cosine transform ) of small square pieces of a digital image.

For periodic functions, both the Fourier transform and the DTFT comprise only a discrete set of frequency components ( Fourier series ), and the transforms diverge at those frequencies.

For a discrete probability function f ( y ), let y < sub > i </ sub >, i = 1 to n, be the points with non-zero probabilities indexed in increasing order ( y < sub > i </ sub > < y < sub > i + 1 </ sub >).

For a population of discrete values, or for a continuous population density, the th-quantile is the data value where the cumulative distribution function crosses.

( For comparison, a terabyte of digital information stores only 2 < sup > 43 </ sup > discrete on / off values.

For instance, it is known from quantum mechanics that certain aspects of electromagnetism involve discrete particles — photons — rather than continuous fields.

For n independent and identically distributed discrete random variables X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > with cumulative distribution function G ( x ) and probability mass function g ( x ) the range of the X < sub > i </ sub > is the range of a sample of size n from a population with distribution function G ( x ).

For Leibniz, then, space was an idealised abstraction from the relations between individual entities or their possible locations and therefore could not be continuous but must be discrete.

For example, if J is a discrete category, the components of the unit are the diagonal morphisms δ: N → N < sup > J </ sup >.

For discrete devices, for example, there are three standards: JEDEC JESD370B in United States, Pro Electron in Europe and Japanese Industrial Standards ( JIS ) in Japan.

For example, the product of the unit circle ( with its usual topology ) and the real line with the discrete topology is a locally compact group with the product topology and Haar measure on this group is not inner regular for the closed subset

For the definition of the likelihood function, one has to distinguish between discrete and continuous probability distributions.

For an observation from the discrete component, the probability can either be written down directly or treated within the above context by saying that the probability of getting an observation in an interval that does contain a discrete component ( of being in interval j which contains discrete component k ) is approximately

For example, the abstract concept of number springs from the experience of counting discrete objects.

For the unseen, ghostlike rifleman aimed a little higher the third time.

For a while he was content to let events develop in their good time.

For lawyers, reflecting perhaps their parochial preferences, there has been a special fascination since then in the role played by the Supreme Court in that transformation -- the manner in which its decisions altered in `` the switch in time that saved nine '', President Roosevelt's ill-starred but in effect victorious `` Court-packing plan '', the imprimatur of judicial approval that was finally placed upon social legislation.

For ten minutes they ran beneath the squall, raising their arms and, for the first time, shouting and capering.

For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??

For a time the President received hundreds of them every day, most of them worthless.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For a time, urging Breasted to give up his public relations work and take up writing instead, he hoped to persuade him to become his assistant in research for the labor novel ; ;

For a time it appeared that a common European army might be created, but the project for a European Defense Community was rejected by the French National Assembly in 1954.

For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.

For the first time in history the entire world is dominated by two large, powerful nations armed with murderous nuclear weapons that make conventional warfare of the past a nullity.

`` For a time I thought of trying to reach the Free Polish Forces, but one thing led to another.

For the first time, he be sad about the move.

For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.

For grant to the Government of India under subsection ( E ) of Section 104 of the Act, the rupee equivalent of not more than $538 million for financing such projects to promote balanced economic development as may from time to time be mutually agreed.

For this reason, the more uncertain skywave service was denominated `` secondary '' in our rules, as compared to the steadier, more reliable groundwave `` primary service '', and, for both skywave service and skywave interference, signal strength is expressed in terms of percentage of time a particular signal-intensity level is exceeded -- 50 percent of the time for skywave service, 10 percent of the time for skywave interference.

For the making of selections on the basis of excellence requires that any foundation making the selections shall have available the judgments of a corps of advisors whose judgments are known to be good: such judgments can be known to be good only by the records of those selected, by records made subsequent to their selection over considerable periods of time.

For in almost less time than it takes to tell it, Henri's bodyweight was increasing rapidly.

For some time this writer has been suggesting a Junior Judging Class for Intermediates over 16 and under 20 years of age who are ineligible to compete in the Junior Class.

For prevention of ketosis, feed 1/4 pound per head daily for 6 weeks commencing at calving time.

For example, to move ( as the score requires ) from the lowest F-major register up to a barely audible N minor in four seconds, not skipping, at the same time, even one of the 407 fingerings, seems a feat too absurd to consider, and it is to the flautist's credit that he remained silent throughout the passage.

For what I express in my remark is something going on in me at the time, and that of course did not exist until I did come on the scene.