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 simplicity of description, most of this article assumes that the surface to be mapped is that of a sphere.

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 example, Microsoft's Outlook client uses a proprietary protocol to communicate with a Microsoft Exchange Server server as does IBM's Notes client when communicating with a Domino server, but all of these products also support POP, IMAP, and outgoing SMTP.

For example, confronting the suspect with incriminating evidence may be sufficiently evocative to amount to interrogation because the police are implicitly communicating a question: " How do you explain this?

For example, the order in which the two bytes of a UCS-2 character are stored in memory is of considerable importance in network programming where two computers with different byte orders may be communicating with each other.

For many multi-media communication complex institutions, communicating by using fiction storytelling techniques can be a more compelling and effective route than using only dry facts.

For communicating with the Deep Space Network, the spacecraft transmitted data across the x-band using a 0. 6-meter parabolic high-gain antenna, medium-gain antenna ( MGA ) and low-gain antennas ( LGA ) depending on mission phase, and a 15-watt transponder design originally intended for the Cassini spacecraft.

For example, in their first skit the Yip Yips try communicating with a telephone by common greetings such as " Hello ", " Greetings ", and " Hi there!

For example, in the above situation a landscaper might be communicating with another landscaper.

For the tiger quoll, olfactory and auditory signals are used more often than visual signals when communicating.

For communicating over great distances, an eyestone must be connected to a summoning tower.

For example, it would not work for an ape communicating with other apes in the wild.

For the purpose of communicating, the party used two pieces of paper ; one colored red meaning " the real thing " and the other white signifying a practice run.

( For all intents and purposes, it was the actual television camera that served this purpose, since whenever one group was communicating with the other, they looked at and spoke directly to the viewer.

For communicating with the kernel, davfs2 can either use the FUSE file system API, or the Coda network file system protocol over sockets.

For example, Spy Hill, the westward extension of Nose Hill, derived its present name from the aboriginal practice of communicating with distant colleagues by flashing European trade mirrors from elevated locations.

For example, a test participant may think he or she is communicating with a computer using a speech interface, when the participant ’ s words are actually being secretly entered into the computer by a person in another room ( the “ wizard ”) and processed as a text stream, rather than as an audio stream.

* For indicative use on foreign territory, a national society which does not use one of the recognized symbols as its emblem has to incorporate its unique symbol into the Red Crystal, based on the previously mentioned condition about communicating its unique symbol to the state parties of the Geneva Conventions.