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case and T
In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.
For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies
As a special case, the three naturally occurring isotopes of the element hydrogen are often specified as H for < sup > 1 </ sup > H ( protium ), D for < sup > 2 </ sup > H ( deuterium ), and T for < sup > 3 </ sup > H ( tritium ).
In either case, df < sub > x </ sub > is a linear map on T < sub > x </ sub > M and hence it is a tangent covector at x.
In the 2011 court case AT & T Mobility v. Concepcion, the U. S. Supreme Court ruled in a 5-4 decision that the Federal Arbitration Act of 1925 preempts state laws that prohibit contracts from disallowing class action lawsuits, which will make it more difficult for consumers to file class action lawsuits.
In this case, we might compute T = A *( B * D ) only once and simply blend T * C to produce F, a single operation.
In case of continuously varying p, T, and / or composition the summation becomes an integral:
The most prominent case is Robert T. Morris, who was a user of MIT-AI, yet wrote the Morris worm.
Governments may force such companies to divide into smaller independent corporations as was the case of United States v. AT & T, or alter its behavior as was the case of United States v. Microsoft, to protect consumers.
* T is the period ( In this case, the sum of two period durations ).
In the case of constant power P, the amount of work performed during a period of duration T is given by:
In this case ST is the group generated by S and T, i. e. ST
Even those " Poskim " that would normally not rely on women witnesses, they would certainly agree that in our case ... where there is ample evidence that this Rabbi violated Torah precepts, then even children or women can certainly be kosher as witnesses, as the Chasam Sofer pointed out in his sefer ( monograph ) ( Orach Chaim T ' shuvah 11 )
This has been done in the case of AT & T, which uses a tone sound followed by a woman speaking the company's name to identify its long distance service, MGM, which uses the sound of a lion's roar, and RKO, which uses a Morse code signal for their motion pictures.
There is an optimum value of the peak magnetic field, about 7 T in this case.
For example, in Caperton v. A. T. Massey Coal Co. ( 2009 ), the Court ruled that a justice of the Supreme Court of Appeals of West Virginia had to recuse himself from a case involving a major contributor to his campaign for election to that court.
Spelt is sometimes considered a subspecies of the closely related species common wheat ( T. aestivum ), in which case its botanical name is considered to be Triticum aestivum subsp.
Supposing we exclude the degenerate case where ABCD has zero area, there is a unique such affine transformation T. Drawing out a whole grid of parallelograms based on ABCD, the image T ( P ) of any point P is determined by noting that T ( A ) = A ′, T applied to the line segment AB is A ′ B ′, T applied to the line segment AC is A ′ C ′, and T respects scalar multiples of vectors based at A.

case and acts
It may be applied, as it is stated in article 1 of the convention in case of: offenses against penal law ; acts which, whether or not they are offenses, may or do jeopardize the safety of the aircraft or of persons or property therein or which jeopardize good order and discipline on board.
Crime in the social and legal framework is the set of facts or assumptions ( causes, consequences and objectives ) that are part of a case in which they were committed acts punishable under criminal law, and the application of which depends on the agent of a sentence or security measure criminal.
In this case, one has to use the hydroboration – oxidation reaction, where in the first step, the boron atom acts as electrophile and adds to the less substituted carbon atom.
In this case, the magnetic force is the centripetal force which acts towards the helix axis.
Bound by the rules of chivalry, Don Quixote submits to prearranged terms that the vanquished is to obey the will of the conqueror, which in this case, is that Don Quixote is to lay down his arms and cease his acts of chivalry for the period of one year ( a duration in which he may be cured of his madness ).
This is the case with all the distinctions of acts or forms of judgement, which provide the foundations for the laws of pure logic.
In this case, the group is also called a permutation group ( especially if the set is finite or not a vector space ) or transformation group ( especially if the set is a vector space and the group acts like linear transformations of the set ).
In addition, relying upon the definition of " sexual relations " as proposed by the prosecution and agreed by the defense and by Judge Susan Webber Wright, who was hearing the Paula Jones case, Clinton claimed that because certain acts were performed on him, not by him, he did not engage in sexual relations.
If a judge acts against precedent and the case is not appealed, the decision will stand.
The commonly held belief that a grain of sand acts as the irritant is in fact rarely the case.
Occasionally, this leads to bizarre acts of violence, such as in the case of Big Lurch, a former rapper who claimed his room mate was the devil and ate part of her lung.
Onstage, Old school rappers had previously performed in flashy attire and colorful costumes, typically had a live band and, in the case of acts like Whodini, had background dancers.
In the 8th Circuit case of Treanor v. MCI Telecommunications, Inc., the court explained that the continuing violations doctrine " tolls freezes the statute of limitations in situations where a continuing pattern forms due to acts occurring over a period of time, as long as at least one incident … occurred within the limitations period ".
In this case, only a residual force ( described below ) called the residual strong force acts between the " colourless " hadrons, and this residual force diminishes rapidly with distance, and is thus very short-range ( effectively a few femtometers ).
The provision was largely inspired by the case in England of Titus Oates who, after the ascension of King James II in 1685, was tried for multiple acts of perjury which had caused many executions of people whom Oates had wrongly accused.
In AI's usage, the term includes any prisoner whose case has a significant political element: whether the motivation of the prisoner's acts, the acts in themselves, or the motivation of the authorities.
* Death — in this case, the deputy Head of government typically acts as the head of government until a new head of government is appointed.
The State Council acts by virtue of the NPC's authority and there has been at least one case where the NPC has outright rejected an initiative of the State Council and a few cases where the State Council has withdrawn or greatly modified a proposal in response to NPC opposition.
From acting as a tribade, ( in her case in the lesbian sense ), to sleeping with her son, Marie Antoinette was constantly an object of rumor and false accusations of committing sexual acts with partners other than the king.
She sued him for damages, but because ( at the time the case was filed ) it was illegal to have sex with someone you're not married to, Ziherl argued that Martin could not sue him because joint tortfeasors-those involved in committing a crime-cannot sue each other over acts occurring as a result of a criminal act ( Zysk v. Zysk, 404 S. E. 2d 721 ( Va. 1990 )).
In the case of humans, a single gene ( SRY ) on the Y-chromosome acts as a signal to set the developmental pathway towards maleness.
For example, in the Operation Spanner case, UK courts have ruled that individuals cannot legally consent to actual bodily harm in sadomasochistic sexual acts.
Sometimes this goes further with the agents participating in acts on behalf of the organisations they infiltrate or falsely represent as was the case during the Operations like Gladio and Chaos.
In a way, an attorney-general acts as yet another judge, but in the Dutch system that does not allow dissenting opinions to be published, it is the only way to reflect different perceptions on a case.

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