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By and Faraday's
The same wire ( in practice a coil of wire ) is moved through the same magnetic field at a known speed v. By Faraday's law of induction, a potential difference U is generated across the ends of the wire, which is equal to BLv.
By setting the two equations for differential work equal to each other we arrive at Faraday's Law.

By and law
By law this is 75% for the Virgin Islands, Guam and Puerto Rico.
By law this is 70% for the Virgin Islands, Guam and Puerto Rico.
By making inroads in the name of law enforcement into the protection which Congress has afforded to the marriage relationship, the Court today continues in the path charted by the recent decision in Wyatt v. United States, 362 U.S. 525, where the Court held that, under the circumstances of that case, a wife could be compelled to testify against her husband over her objection.
By convention in some law reports, the appellant is named first.
By ancient common law it might be required of all persons above the age of 12, and it was repeatedly used as a test for the disaffected.
By law, Augustus held a collection of powers granted to him for life by the Senate, including supreme military command, and those of tribune and censor.
By the law of cosines, we have:
By contrast, while defendants in most civil law systems can be compelled to give a statement, this statement is not subject to cross-examination by the prosecutor and not given under oath.
By comparison Whorf's other work in linguistics, the development of such concepts as the allophone and the cryptotype, and the formulation of " Whorf's law " in Uto-Aztecan historical linguistics, have met with broad acceptance.
By United Nations law, Bosnia has a right of passage to the outer sea.
By law, farmers in the United States who plant Bt corn must plant non-Bt corn nearby.
By the early 2000s ( decade ), however, the university quietly reexamined its position on accreditation as degree mills proliferated and various government bureaucracies, such as law enforcement agencies, began excluding BJU graduates on the grounds that the university did not appear on appropriate federal lists.
By contrast, in civil law jurisdictions ( the legal tradition that prevails in, or is combined with common law in, Europe and most non-Islamic, non-common law countries ), courts lack authority to act where there is no statute, and judicial precedent is given less interpretive weight ( which means that a judge deciding a given case has more freedom to interpret the text of a statute independently, and less predictably ), and scholarly literature is given more.
By contrast to statutory codification of common law, some statutes displace common law, for example to create a new cause of action that did not exist in the common law, or to legislatively overrule the common law.
By the time of the rediscovery of the Roman law in Europe in the 12th and 13th centuries, the common law had already developed far enough to prevent a Roman law reception as it occurred on the continent.
By law, the vice president will succeed in the event of the president's resignation, illness, or death.
By law ( 92 Stat.
By 1827, he had abandoned law and embarked on a geological career that would result in fame and the general acceptance of uniformitarianism, a working out of the idea proposed by James Hutton a few decades earlier.

By and induction
By induction we conclude the statement is true for all r ≥ 0.
By the induction hypothesis,
By the end of the year, Alexander was also distinguished with his induction as a Knight of the Order of the Garter.
By Dr. Zaehner, the author of Mysticism, Sacred and Profane, their deliberate induction is regarded as immoral.
By the 1870s, efficient generators that produced alternating current ( alternators ) were available, and it was found that alternating current could power an induction coil directly, without an interrupter.
By induction, Hilbert's basis theorem establishes that, the ring of all polynomials in n variables with coefficients in, is a Noetherian ring.
By means of mathematical induction, it is easily proven that the above procedure requires the minimal number of moves possible, and that the produced solution is the only one with this minimal number of moves.
By the principle of mathematical induction it follows that the result is true for all natural numbers.
By reasoning using " induction " Bacon meant the ability to gradually generalize a finding based on accumulating data-he advised proceeding by this method ( building a case from the ground up ).
By induction, SO ( n ) therefore has
By his method of observation and induction as thus explained, his philosophy will be found to be marked off very clearly, on the one hand from the deductive construction of notions of an absolute system, as represented either by Schelling or Hegel, which Cousin regards as based simply on hypothesis and abstraction, illegitimately obtained ; and on the other, from that of Kant, and in a sense, of Sir W. Hamilton, both of which in the view of Cousin are limited to psychology, and merely relative or phenomenal knowledge, and issue in scepticism so far as the great realities of ontology are concerned.
By preventing the clonal expansion of lymphocytes in the induction phase of the immune response, it affects both the cell and the humoral immunity.
By contrast, in an induction motor the rotor rotates at a slower speed than the stator field.
By varying the line frequency with an inverter, induction motors can be kept on the stable part of the torque curve above the peak over a wide range of rotation speeds.
By induction on n it follows that the basis functions are non-negative for all values of and.
By induction, Axioms ( 3 ) and ( 4 ) are equivalent to the single statement
So, i. e. the commutant of the bicommutant of S is equal to the commutant of S. By induction, we have:
By the early 1990s, when his time of eligibility was beginning to run out, many Puerto Ricans, celebrities and ordinary citizens alike, began to campaign for his induction.
By applying the induction principle for the standard integers N and the transfer principle we get the principle of internal induction:
By induction, the hypothesis implies that M < sup > k </ sup > T
By induction, we assume that for some integer the partially ordered set can be covered by disjoint chains and has at least one antichain of size.
: Proof: By mathematical induction.

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