For simplicity, we shall here use the shorthand notation for representing the over operator.

For simplicity, the following descriptions focus on continuous-time and discrete-time linear systems.

For the sake of simplicity, we might assume that the weights are normalized so that they sum up to 1 ( which can be easily done by dividing each weight by their sum ), thus allowing some terms in the above formulae to be omitted:

) For simplicity, consider a system composed of two identical particles.

For simplicity ’ s sake, the Germans designated any barge up to the size of a standard peniche as Type A1 and anything larger as Type A2.

For this reason, even the name The One isn't a positive name, but rather the most non-multiple name we can think of, a name derived from our own inadequate conception of the simplicity of the first principle.

For simplicity, we will first discuss second quantization for bosons, which form perfectly symmetric quantum states.

For Huxley ’ s biographer and friend, the author Sybille Bedford, the book combined sincerity with simplicity, passion with detachment.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

For simplicity, suppose that the evidence used for the test has nothing to do with the collection of 100 objects dealt with here.

For simplicity we neglect the neutrino ( neutrino accounting requires an exact calculation of all stages of the reaction, and the loss of neutrino energy make up only about one percent ), and annihilate the positrons with 2 electrons from hydrogen atoms remaining after the removal of these protons.

For the sake of simplicity, the frame is shown as a rectangular structure of 270 columns and nine rows but the protocol does not transmit the bytes in this order.

For the sake of simplicity, the frame is shown as a rectangular structure of 270 columns and nine rows.

For simplicity and durability, modern sousaphones almost definitively use three non-compensating piston valves in their construction, in direct contrast to their concert counterparts ' large variation in number, type, and orientation.

For simplicity, the example does not illustrate this.

For many applications, FBA not only offered simplicity, but an increase in throughput.

For simplicity, we consider here only the spinless case.

For simplicity, assume that samples of the input and output are taken at evenly-spaced points in time separated by time.

For simplicity, assume that samples of the input and output are taken at evenly-spaced points in time separated by time.

For simplicity, adopt / adoption or adapt / adaption are used by many linguists, either in parallel to, or in preference to, these words.

For simplicity we consider only the case r = 1.

For some the simplicity of the mechanism, coupled with the large volume of ink it can encapsulate, compensates for the inconvenience of ink transfer.

For simplicity reasons, sometimes it is required that the hyperplane pass through the origin of the coordinate system.

For simplicity we assume unit price ( i. e. P = 1 ), and thus quantities also represent values in all equations.

For Ludwig Wittgenstein aesthetics consisted in the description of a whole culture which is a linguistic impossibility.

For example, programming language theory studies approaches to description of computations, while the study of computer programming itself investigates various aspects of the use of programming languages and complex systems, and human-computer interaction focuses on the challenges in making computers and computations useful, usable, and universally accessible to humans.

For example, programming language theory considers various approaches to the description of computation, whilst the study of computer programming itself investigates various aspects of the use of programming language and complex systems.

For a case description, see the paper by Lacassie.

For Derrida, Genesis and Structure are both inescapable modes of description, there are some things that " must be described in terms of structure, and others which must be described in terms of genesis ," but these two modes of description are difficult to reconcile and this is the tension of the structural problematic.

For a description of the statistical differences, see: Variations in first-class cricket statistics

* GnuFU, Gnutella For Users: A description of the inner workings of the gnutella network in User-Friendly Style

For this reason, the name " designer games " is often offered as a description of the genre.

For example, Immanuel Kant used pure description to discuss recognition and its components and Sir Francis Bacon claimed that the simple observation of the rote recollection of a previously learned list was “ no use to the art ” of memory.

For a phonological description, see Korean phonology.

For example, Josephus ' description of the death of John the Baptist includes consideration of his virtues, the theology associated with his baptismal practices, his oratorical skills, his influence, the circumstances of his death, and the belief that the destruction of Herod's army was a divine punishment for Herod's slaughter of John.

* For Eric Leif Davin's Partners in Wonder: Women and the Birth of Science Fiction, 1926-1965, MacLean supplied him with a detailed description of her negotiations with John W. Campbell in regards to the publication of her earliest stories.

For a concise description of the symbols used in this notation, see List of logic symbols.

For a concise description of the symbols used in this notation, see List of logic symbols.

For a detailed description of the differences between the microscopic ( total charge and current )

For an analogy, the supergravity description is like treating water as a continuous, incompressible fluid.

For a more detailed description of the physics and operating principles of critical fission reactors, see nuclear reactor physics.

For a description of their social, political, and environmental aspects, see nuclear power.

For a detailed description of the differences between 2. x and 3. x versions, see History of Python.

For example, the Grelling – Nelson paradox points out genuine problems in our understanding of the ideas of truth and description.

For the purpose of clarity ‘ source code ’ is taken to mean any fully executable description of a software system.

There is, however, only one known account from a native Briton who lived at this time in the mid 5th Century A. D., ( Gildas ), and his description is of a forced takeover: For the fire ... spread from sea to sea, fed by the hands of our foes in the east, and did not cease, until, destroying the neighbouring towns and lands, it reached the other side of the island, and dipped its red and savage tongue in the western ocean.

For some, this could be a positive description, implying, for example, that such groups live in greater harmony with nature .... For others, ... ' primitive ' is a negative characterisation.