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 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, following the American Revolution in 1776, one of the first legislative acts undertaken by each of the newly independent states was to adopt a " reception statute " that gave legal effect to the existing body of English common law to the extent that American legislation or the Constitution had not explicitly rejected English law.

For land transportation ( including trains ), Indonesia will adopt an Intelligent Transportation System ( ITS ) gradually since 2012.

For example, the LDS Church excommunicates members who practice polygamy or who adopt the beliefs and practices of Mormon fundamentalism.

For example, during the Aceh War the Acehnese Klewangs, a sword similar to the machete, proved very effective in close quarters combat with Dutch troops, leading the Royal Netherlands East Indies Army to adopt a heavy cutlass, also called klewang ( very similar in appearance to the US Navy Model 1917 Cutlass ) to counter it.

For example, researchers have identified several pairs of peptides that are unstructured in isolation, but adopt stable secondary and tertiary structure upon forming a disulfide bond between them.

For example, if a local law enforcement agency is alleged to have engaged in racial profiling it would not be unusual for the case to be resolved by having the local law enforcement agency adopt procedures to be used in traffic stops, with compliance supervised by a federal trial court judge.

For example, one text asserts " when you adopt the " but " word, people will remember what you said afterwards.

For the 2010-2011 school year, both the Britton-Macon and Deerfield school boards voted to adopt a " shared services " plan for their middle school and high school students.

For example, they have the power to pass ordinances, make resolutions, adopt plans, and establish the budget for the city.

For instance, in the United States, the term down-low is used to refer to African-American men who do not identify themselves with the gay or queer cultures, but who practice gay cruising, and adopt a specific hip-hop attire during this activity.

For example, the " unfolded " bacteriorhodopsin in SDS micelles has four transmembrane α-helices folded, while the rest of the protein is situated at the micelle-water interface and can adopt different types of non-native amphiphilic structures.

2 ° For the purpose of the exercise of any executive function of the State in or in connection with its external relations, the Government may to such extent and subject to such conditions, if any, as may be determined by law, avail of or adopt any organ, instrument, or method of procedure used or adopted for the like purpose by the members of any group or league of nations with which the State is or becomes associated for the purpose of international co-operation in matters of common concern.

For the amendment to be put into effect, at least two-thirds of members must formally adopt it.

For instance, the Federal Reserve Bank, European Central Bank, Bank of England and Reserve Bank of Australia all set interest rates without government interference, but do not adopt rules.

For example, the guidelines issued by associations of directors, corporate managers and individual companies tend to be wholly voluntary but such documents may have a wider effect by prompting other companies to adopt similar practices.

For this series, European markets now adopt the shortened Subaru Outback name.

For those who say that the Constitution is so sacred that we cannot or should not adopt the Federal Marriage Amendment, I would simply point out that marriage, and the sanctity of that institution, predates the American Constitution and the founding of our nation. He resigned in 2011 due to investigation of irregularities related to an extra-marital affair.

For example, a woman may adopt a submissive role during a sexual activity to overcome a sexual inhibition she may have.

For example, in the NAR-FECEPAC memorandum of understanding of February 2003, a commitment was set to promote and adopt the respective code of ethics, standards and norms, but there is nothing specific mentioned for complex ethical matters in international transactions.

For example, canines such as wolves and coyotes may adopt an aggressive posture, such as growling with their teeth bared, to indicate they will fight if necessary, and rattlesnakes use their well-known rattle to warn potential predators of their poisonous bite.

For example, the ITU recommends that member states adopt 00 as their international access code.

For these and other reasons, OpenBSD has chosen to adopt BSD Authentication, which is an alternative authentication framework, originally from BSD / OS.

For her own part, she studied the life of Elizabeth, worked hard to adopt a passable accent, and shaved her hairline to achieve a greater resemblance.

For example, it became customary among these peoples to adopt British surnames.