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 Faraday's law of induction we have

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:

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 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.

`` By God '', Waddell said, `` we don't want to upset the boy at this time of all times.

By monitoring, we mean some system of control over the types of information sent from the various centers.

By no means would we discourage the production of ideas: they provide raw materials with which to work ; ;

By extending this help, we hope to make possible the enthusiastic enrollment of these nations under freedom's banner.

By this time, as we shall see, the Tories were already planning to `` punish '' Steele for his political writing by expelling him from the House of Commons.

By an effort of historical sympathy we can cast our minds back into the art of a remote past or an alien present, and enjoy the carvings of cavemen and Japanese colour-prints ; ;

By that time we should be in a much better position to determine the value of that aircraft as a weapon system.

Reports Jim Lendrum: `` By studying men on the job, we found that two men -- a carpenter and a helper -- can lay a floor faster than three.

By the time the film was released we were three million dollars over-spent, war was imminent and the public apparently had forgotten all about Mother Cabrini.

By Theorem 10, D is a diagonalizable operator which we shall call the diagonalizable part of T.

By permitting freshman students we might extend the opportunity for such a course to some individuals who otherwise might never get to take it.

By virtue of the legal responsibilities of the Department of Employment in the farm placement program, we necessarily found ourselves in the middle between these two forces.

By this same combination of the will and the imagination, each one of us can learn to portray permanently the kind of character we would like to be.

By way of explanation we ourselves are prone to imagine that this achievement stems from the same American Catholic zeal and generosity which brought the parochial school system into existence.

By reminding ourselves of these factors in the situation, we should, I am sure, come to a fresh realization, however painful it be, that the battle between Parker and his neighbors was fought in earnest.

By and large, Robert McEnroe's adaptation of Maurice Walsh's film, `` The Quiet Man '', provides the entertainment it set out to, and we have a lively musical show if not a superlative one.

By the time we arrived and entered the building sacred music was already swelling out into the chapel-like auditorium with its discreet symbols of religious faiths.

By the time we arrived, the party was already going strong.

By an auspicious choice of the parameter n < sub > 0 </ sub >, we will arrive at a contradiction.

By the law of cosines, we have:

By setting and we get

By " art " we may frame several artistic " works " or " creations " as so though this reference remains within the institution or special event which creates it and this leaves some works or other possible " art " outside of the frame work, or other interpretations such as other phenomenon which may not be considered as " art ".

" By 1923 however, Gropius was no longer evoking images of soaring Romanesque cathedrals and the craft-driven aesthetic of the " Völkisch movement ", instead declaring " we want an architecture adapted to our world of machines, radios and fast cars.

By finding how similar two protein sequences are, we acquire knowledge about their structure and therefore their function.