By now Harmony could see that most of the adults in the train were winded and resting, or else siphoned off from the games by the challenging lure of the great cliff towering above them.

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 application of a voltage during the presence of this gas, gas ions in the vicinity of the tip undergo ionisation, with greater numbers of ions generated immediately above atoms occupying edge or planar sites.

By his advice Benedict became a hermit and for three years, unknown to men, lived in this cave above the lake.

By doing this to the formula above, we find:

By the 16th century, Cairo also had high-rise apartment buildings where the two lower floors were for commercial and storage purposes and the multiple stories above them were rented out to tenants.

By AD 400, most of the constellation never rose above the horizon for Athenians.

By contrast to the above philosophers, Immanuel Kant held that the account of the concept as an abstraction of experience is only partly correct.

By twice applying the transformation above from the stationary to the rotating frame, the absolute acceleration of the particle can be written as:

By moving the unit vectors so their tails coincide, as seen in the circle at the left of the image above, it is seen that u < sub > ρ </ sub > and u < sub > θ </ sub > form a right-angled pair with tips on the unit circle that trace back and forth on the perimeter of this circle with the same angle θ ( t ) as r ( t ).

By contrast, for higher frequency radiations at ultraviolet frequencies and above ( i. e., X-rays and gamma rays ) the damage to chemical materials and living cells by EMR is far larger than that done by simple heating, due to the ability of single photons in such high frequency EMR to damage individual molecules chemically.

By May 1949, the initial orders provided a primitive relocating assembler taking advantage of the mnemonic design described above, all in 31 words.

By January 1937 he was at Alcubierre above sea level, in the depth of winter.

By means of psychological suggestion, it created a new type of religious man, a type that placed emotion above reason and rites, and religious exaltation above knowledge.

By the 1970s, because of the advent of psychedelic art, artists became used to brighter pigments, and pigments called " bright indigo " or " brite blue-violet " that are the pigment equivalent of the electric indigo reproduced in the section above became available in artists ' pigments and colored pencils.

As for the contradiction between German rearmament and his message of peace, Ribbentrop argued to whoever would listen that the German people had been “ humiliated ” by the Versailles treaty, that Germany wanted peace above all, and German violations of Versailles were part of an effort to restore Germany's " self-respect " By the 1930s, much of British opinion had been convinced that the treaty was monstrously unfair and unjust to Germany, so as a result, many in Britain like Thomas Jones were very open to Ribbentrop ’ s message that if only Versailles could be done away with, then European peace would be secured.

By contrast, the yarn in knitted fabrics follows a meandering path ( a course ), forming symmetric loops ( also called bights ) symmetrically above and below the mean path of the yarn.

By contrast, the median income is the level at which half the population is below and half is above.

By the properties of ⊕ mentioned above, we have

By performing the calculation above in the familiar decimal system we see why 112 in octal is equal to 64 + 8 + 2

By this definition, in a normal population, half of students are expected to perform above grade level and half the students below grade level, no matter how much or how little the students have learned.

By contrast, the central and southern parts of Guangdong province experience an average January temperature of above, while the July mean is generally above.

( By comparison, the Standard Model is expected to start to break down above its cutoff at the much smaller scale of around 1000 GeV.

Every simple R-module is isomorphic to a quotient R / m where m is a maximal right ideal of R. By the above paragraph, any quotient R / m is a simple module.

By the result of the previous paragraph, the limit function is also Lipschitz, with the same bound for the Lipschitz constant.

By the above paragraph, one can show that any constructible point can be obtained by such a sequence of extensions.

By 1908, this was described by the New York Times as a " long-established … preference " ( see article ) In modern usage in Scotland, " Scotch " is never used, other than as described in the following paragraph for certain articles ; it has gathered patronising and faintly offensive connotations (" frugal with one's money "), and a non-Scot who uses the word in conversation with Scots as a description of them may find this a good test of their courtesy.

By 20 May the Commons had agreed to one more minor alteration, but had not decided whether to accept the new paragraph.

By this time, to be precise, on July 15, 1937, because of Natascha ’ s status as “ Mischling ersten Grades ,” Emil had lost his post at the University — technically, compelled into early retirement — on the grounds of paragraph 6 of the Act to Restore the Professional Civil Service ( Gesetz zur Wiederherstellung des Berufsbeamtentums ) of April 7, 1933.

By the property noted in the above paragraph, if f is an irreducible ( non-zero ) polynomial with coefficients in the field F of prime characteristic p, and does not have distinct roots, it is possible to write f ( X )= g ( X < sup > p </ sup >).

By contrast, the anthrax entry has a large paragraph on the current reservoir.

With respect to ' the final paragraph, in which Jensen has Hanold asking Zoë to walk ahead of him and she complies with a smile, Freud put, " Erotic ... foot interest "'... By walking ahead of him in imitation of " Gradiva " on the plaque, she finds the key to his therapy '.

By the previous paragraph,, hence.

By taking Fourier transforms this follows from the fact that every polynomial has a distributional inverse, which is proved in the paragraph above.

By paragraph 2, foundlings recovered in Italy are citizens by birth if it cannot be proven that these persons are in possession of another citizenship.

`` 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.

By induction we conclude the statement is true for all r ≥ 0.