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 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 example, the BBB has reported it was receiving four times as many inquiries about quack devices and 10 times as many complaints compared with two years ago.

For devices with only a few switches ( such as the buttons on a joystick ), the status of each can be encoded as bits ( usually 0 for released and 1 for pressed ) in a single word.

For all his cocky predictions to the press about his future plans, Davy fell into a directionless heap when left to his own devices.

For either enhancement-or depletion-mode devices, at drain-to-source voltages much less than gate-to-source voltages, changing the gate voltage will alter the channel resistance, and drain current will be proportional to drain voltage ( referenced to source voltage ).

Ernest Hemingway in For Whom the Bell Tolls made deliberate use of false friends as one of the devices intended to convey to the reader that English conversations in the book in fact represent Spanish.

For many operating systems, devices are serviced as soon as the device's interrupt handler is executed.

For small-scale logic, designers now use prefabricated logic gates from families of devices such as the TTL 7400 series by Texas Instruments and the CMOS 4000 series by RCA, and their more recent descendants.

For example, BASIC on the early microcontrollers Intel 8052 ; BASIC and FORTH on the Zilog Z8 as well as some modern devices.

For example, Bluetooth devices such as a keyboards, pointing devices, audio head sets, printers may connect to Personal digital assistants ( PDAs ), cell phones, or computers wirelessly.

For most pointing devices, Paul Fitts's law can be used to predict the speed with which users can point at a given target position.

For many years these processes were used almost exclusively for transparencies ( in slide projectors and similar devices ), but color prints became popular with the introduction of the Chromogenic negative, which is the most-used system in the C-41 process.

For many years prior to the 32X, console makers promised devices like the 32X ( for consoles such as the ColecoVision, Intellivision II and some Atari systems ) that would extend and enhance the original system.

For either mode, a more positive gate voltage corresponds to a higher current for N-channel devices and a lower current for P-channel devices.

For many modern devices calibration will be stating some value to be used in processing an electronic signal to convert it to a temperature.

For example, devices such as cameras and scanners produce essentially continuous-tone raster graphics that are impractical to convert into vectors, and so for this type of work, an image editor will operate on the pixels rather than on drawing objects defined by mathematical expressions.

For programmable devices like EPROMs and GALs, DIPs remained popular for many years due to their easy handling with external programming circuitry ( i. e., the DIP devices could be simply plugged into a socket on the programming device.

For safety and reliability reasons, it is desirable that all telecommunications loads be DC powered with minimal AC-powered devices used.

For power factor correction of high-voltage power systems or large, fluctuating industrial loads, power electronic devices such as the Static VAR compensator or STATCOM are increasingly used.

For example, speech synthesis, combined with speech recognition, allows for interaction with mobile devices via natural language processing interfaces.

For these reasons fishermen use devices that accurately track speed.

For instance, in recent conflicts, " bombs " known as improvised explosive devices ( IEDS ) have been employed by insurgent fighters to great effectiveness.