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Page "Coordinate vector" ¶ 46
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Since civilizational change is the most difficult to perceive and analyze, it seldom is given adequate attention.
Since then and during the first decade, the results were given to newspapers for publication at 11 pm on the night of the awards.
Since is the distance from a given number to the mean, one way to interpret this property is as saying that the numbers to the left of the mean are balanced by the numbers to the right of the mean.
Since the mid-1890s Schweitzer had formed the inner resolve that it was needful for him as a Christian to repay to the world something for the happiness which it had given to him, and he determined that he would pursue his younger interests until the age of thirty and then give himself to serving humanity, with Jesus serving as his example.
Since the time of Catherine II the ranks of Abbot and Archimandrite have been given as honorary titles in the Russian Church, and may be given to any monastic, even if he does not in fact serve as the superior of a monastery.
Since algorithms are platform-independent ( i. e. a given algorithm can be implemented in an arbitrary programming language on an arbitrary computer running an arbitrary operating system ), there are significant drawbacks to using an empirical approach to gauge the comparative performance of a given set of algorithms.
Since the reference model given for traffic policing in the network is the GCRA, this algorithm is normally used for shaping as well, and single and dual leaky bucket implementations may be used as appropriate.
Since 31 December 2003, the system has been closed to new users, at that time, it covered 100 % of the Spanish population, but now some antennas have been given to GSM operators.
Since 1980, each voter names three rookies: a first-place choice is given five points, a second-place choice three points, and a third-place choice one point.
Since 1998, home field advantage has been given to the team that has the better regular season record, unless that team happens to be the Wild Card team.
The proof of this fact relies on an algorithm which, given the first n digits of Ω, solves Turing's halting problem for programs of length up to n. Since the halting problem is undecidable, Ω can not be computed.
Since only one tech may be " researched " at any given time, the order in which technologies are chosen makes a considerable difference in the outcome of the game and generally reflects the player's preferred style of gameplay.
Since 1968, the Joseph Jefferson Awards are given annually to acknowledge excellence in theater in the Chicago area.
* 1824 – United States presidential election, 1824: Since no candidate received a majority of the total electoral college votes in the election, the United States House of Representatives is given the task of deciding the winner in accordance with the Twelfth Amendment to the United States Constitution.
Since the cultivation of coffee required the highest lands in the country, many of these lands were expropriated from indigenous reserves and given or sold cheaply to those that could cultivate coffee.
Since World War II, the Red Sox have had 18 batting champions ( through 1989 )... Five to 7 points are a lot, given that there may be only a 15-or 20-point spread between a good hitting team and a poor hitting team.
Since Peter, the bishop of Alexandria, was not present, the presidency over the Council was given to Meletius as bishop of Antioch.
Since the brain effects of hypoglycemia, termed neuroglycopenia, determine whether a given low glucose is a " problem " for that person, most doctors use the term hypoglycemia only when a moderately low glucose level is accompanied by symptoms or brain effects
Since most Episcopalians had given their support to the Jacobite rebellions in the early 18th century, they also suffered a decline in fortunes.
* Since 2006 it helped establish the Sir Arthur Clarke Award, the most prodigious award given in the United Kingdom for contribution in all field of space research and exploration.
Since 1970, the government has given high priority to education in order to develop a domestic work force, which the government considers a vital factor in the country's economic and social progress.
Since that time, a few more genera have been erected, and some segregates of Brunnichia, Eriogonum, and Persicaria have been given generic status in major works.
Since then, Languedoc has built exclusively for the two, and his designs and traditional wood choices have given Phish a unique instrumental identity.

Since and vector
Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.
Since at a minimum the starting code address vector must always be valid on reset, systems commonly included some nonvolatile memory ( e. g. ROM ) starting at address zero to contain the vectors and bootstrap code.
Since the diagonal vector has a vertical component, the drive phase continues to provide some support against gravity and can be regarded as an extension of the support phase.
Since this construction works for any vector space V, we conclude that T is a functor from K-Vect to K-Alg.
Since the physicist's concept of force has a direction and a magnitude, it may be seen as a vector.
Since the typical vector operation would involve loading a small set of data into the vector registers and then running several operations on it, the vector system of the new design had its own separate pipeline.
Since this is an electromagnetic wave each electric field vector has a corresponding, but not illustrated, magnetic field vector that is at a right angle to the electric field vector and proportional in magnitude to it.
Since the propagation vector is proportional to the photon's momentum, the transverse propagation direction must remain the same in both regions.
Since the Poynting vector only occurs in Poynting's theorem as a divergence ∇ • S, the Poynting vector S is arbitrary to the extent that one can add a curl of a field F to S,
Since elements of W are necessarily elements of V, axioms 1, 2 and 5-8 of a vector space are satisfied.
Since then, the supercomputer market has focused much more on massively parallel processing rather than better implementations of vector processors.
Since a vector field is quite difficult to visualize at first, in elementary physics one may instead visualize this field with field lines.
Since the intensity or irradiance, I, of light is proportional to the square of the electric-field vector, the ellipticity becomes:
Since all these values are distinct, this is usually done using a bit vector.
However, the more difficult proof of the converse ( see below ) makes use of the vector space structure: Since both of the factors are vector spaces over Q, the tensor product can be taken over Q.
Since version 3. 0, Leveller includes vector shapes, which can be used for both modeling and coloration.
The set of ( p < sub > i </ sub >, n < sub > i </ sub >) is thus a sampling of a continuous vector field V. The implicit function f is found by integrating the vector field V. Since not every vector field is the gradient of a function, the problem may or may not have a solution: the necessary and sufficient condition for a smooth vector field V to be the gradient of a function f is that the curl of V must be identically zero.

Since and v
Since the U. S. Supreme Court ruling in Daubert v. Merrell Dow Pharmaceuticals, Inc., lay judges have become " gatekeepers " of scientific testimony.
Since 2001, the government has asserted the privilege in more cases and at earlier stages of the litigation, thus in some instances causing dismissal of the suits before reaching the merits of the claims, as in the Ninth Circuit's ruling in Mohamed v. Jeppesen Dataplan.
Since ω = − dΦ / dt and k = + dΦ / dx, the wave velocity is v = dx / dt = ω / k.
Since the particle speed < math > v < c </ math > for any particle that has mass ( according to special relativity ), the phase velocity of matter waves always exceeds c, i. e.
Since the phase velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
Since Petermann v. International Brotherhood of Teamsters, 344 P. 2d 25 ( Cal. App.
Since Wesberry v. Sanders ( 1964 ) and Reynolds v. Sims ( 1964 ), the Supreme Court has interpreted the Equal Protection Clause as requiring the states to apportion their congressional districts and state legislative seats according to " one man, one vote ".
Since the velocity is lower in the second medium ( v < sub > 2 </ sub > < v < sub > 1 </ sub >), the angle of refraction θ < sub > 2 </ sub > is less than the angle of incidence θ < sub > 1 </ sub >; that is, the ray in the higher-index medium is closer to the normal.
Since at least Dartmouth College v. Woodward ( 1819 ), the U. S. Supreme Court has recognized corporations as having the same rights as natural persons to contract and to enforce contracts.
Since the Supreme Court's ruling in Citizens United v. Federal Election Commission in 2010, upholding the rights of corporations to make political expenditures under the First Amendment, there have been several calls for a US Constitutional amendment to abolish Corporate Personhood.
Since 2003, Bahrain has been granted over $ 100 million in Foreign Military Funding to pay for various high profile weapons systems, to include an AN / TPS-59 ( v ) 3B Early Warning Radar, Large Aircraft Infrared Countermeasures ( LAIRCM ), Air-to-Air Missile Avoidance System for the King's Plane ( Boeing 747-400 ), as well as an Avenger Air Defense Vehicle.
Since Romer stood in obvious tension with the Court's earlier decision in Bowers v. Hardwick,, it laid the groundwork for 2003's Lawrence v. Texas,, which overturned Bowers.
Since the derivative of ln x is 1 / x, we make ( ln x ) part of u ; since the antiderivative of 1 / x < sup > 2 </ sup > is − 1 / x, we make ( 1 / x < sup > 2 </ sup >) part of v. The formula now yields:
Since then, several models for understanding the concept of group cohesion have been developed, including Albert Carron ’ s hierarchical model and several bi-dimensional models ( vertical v. horizontal cohesion, task v. social cohesion, belongingness and morale, and personal v. social attraction ).
Since the plurality overruled some portions of Roe v. Wade despite its emphasis on stare decisis, Chief Justice Rehnquist in dissent argued that this section was entirely obiter dicta.
Since Griswold, the Supreme Court has cited the right to privacy in several rulings, most notably in Roe v. Wade, 410 U. S. 113 ( 1973 ), where the Court ruled that a woman's choice to have an abortion was protected as a private decision between her and her doctor.
Since the Court's decision in Roth v. United States, 354 U. S. 476 ( 1957 ), the Court had struggled to define what constituted constitutionally unprotected obscene material.
Since CompuServe Inc. v. Cyber Promotions, various courts have applied the principles of trespass to chattel to resolve cases involving unsolicited bulk e-mail and unauthorized server usage.
Since v is non-zero, this means that the matrix I − A is singular ( non-invertible ), which in turn means that its determinant is 0.

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