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By and definition
By accepted definition, a 1-ton conditioner will provide 12,000 BTU of cooling in one hour.
By the Brønsted-Lowry definition, any compound which can easily be deprotonated can be considered an acid.
By definition it does not cover problems whose solution are unknown or have not been characterised formally.
By definition a multilinear map is alternating if it vanishes whenever two of its arguments are equal.
By this definition, if previous versions ( N-1, N-2, etc.
* By the definition of addition and scalar multiplication of linear functionals in the dual space,
By definition, where a director enters into a transaction with a company, there is a conflict between the director's interest ( to do well for himself out of the transaction ) and his duty to the company ( to ensure that the company gets as much as it can out of the transaction ).
By legal definition, all semi-highways are expressways.
By definition a set S is countable if there exists an injective function
By 1963 – 4 Gödel would disavow Herbrand – Gödel recursion and the λ-calculus in favor of the Turing machine as the definition of " algorithm " or " mechanical procedure " or " formal system ".
By contrast, a dictionary definition has additional details, typically including an etymology showing snapshots of the earlier meanings and the parent language.
By his own admission, Hubbard made what he considered was one of the greatest mistakes of his life when he used the biological definition of engram as a " trace on a cell ", which was not in line with the proper biological definition.
By definition, this classifies it as both a river and a strait — a strait being a narrow passageway connecting two large bodies of water.
Let f and g be any two elements of G. By virtue of the definition of G, = and =, so that =.
By definition, it is the amount of energy gained by the charge of a single electron moved across an electric potential difference of one volt.
At standard temperature, pressure and concentration conditions, the cell's emf ( measured by a multimeter ) is 0. 34 V. By definition, the electrode potential for the SHE is zero.
By definition, equality follow a number of " equivalence relations ", including ( a ) reflexive ( i. e. ), ( b ) symmetric ( i. e. if then ) ( c ) transitive ( i. e. if and then ).
By definition, a and b can be written as multiples of c: a = mc and b = nc, where m and n are natural numbers.
By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.
By an abuse of the definition, a particular formal language is often thought of as being equipped with a formal grammar that describes it.
By definition, maps objects and morphisms identically to.
By definition, granite is an igneous rock with at least 20 % quartz by volume.
By definition, there was only one " catholic " or " universal " Church.

By and these
By extending this help, we hope to make possible the enthusiastic enrollment of these nations under freedom's banner.
By a combination of music, lighting effects, and narration, famous events that have transpired in these locations are evoked and re-created for large audiences usually to considerable acclaim.
By 1965, several or all of these systems will have been fully tested and their reliability established.
By using the appropriate version any one of these factors can be determined for any combination of the other three.
By these measures, Congress, so the Court ( in effect ) now decides, gave not only needless but inadequate relief, since it now appears that the federal courts have inherent power to sterilize the Act of 1875 against all proceedings challenging local regulation ''.
By these steps the final AIA list was reduced from 8,000 to 3,500.
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 preying on the sick, by playing callously on the hopes of the desperate, by causing the sufferer to delay proper medical care, these medical ghouls create pain and misery by their very activity.
By no means are these isolated cases.
By 1926, when the mighty Yanks were at their mightiest, only a few of these were left but they still shone brightest, even beside able and agile rookies like Tony Lazzeri ( who managed never to have one of his epileptic fits on the field ), Mark Koenig, Lou Gehrig, George Pipgras, and gray-thatched Earl Combs.
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 studying these images, they can detect solar system objects by their movements relative to the background stars, which remain fixed.
By the beginning of the 8th century, these kingdoms had either been conquered by Nicene neighbors ( Ostrogoths, Vandals, Burgundians ) or their rulers had accepted Nicene Christianity ( Visigoths, Lombards ).
By reducing detail in one direction more than another, these effects can be reduced.
Whenever any result is sought by its aid, the question will then arise — By what course of calculation can these results be arrived at by the machine in the shortest time?
By and large the power exercised by these officials was routine administration and quite limited.
By 500 BC, Ionia appears to have been ripe for rebellion against these Persian clients.
By 454, the Delian League could be fairly characterized as an Athenian Empire ; at the start of the Peloponnesian War, only Chios and Lesbos were left to contribute ships, and these states were by now far too weak to secede without support.
By late 1983 it was clear that IBM's Token Ring would not be ready in time for the launch of the Mac, and might miss the launch of these other products as well.
By this point Apple had a wide variety of communications products under development, and many of these were announced along with AppleTalk Phase II.
By the help of these discoveries, Angle civilization in the age preceding the invasion of Britannia can be fitted together.
By the 1930s, statisticians and models built on statistical reasoning had helped to resolve these differences and to produce the neo-Darwinian modern evolutionary synthesis.
By the time the federal environmental clearances were delivered in 1994, A $ 10 million contract, signed off as a cost overrun, was used to repair these leaks.
By making these data available to local public health officials in real time, most models of anthrax epidemics indicate that more than 80 % of an exposed population can receive antibiotic treatment before becoming symptomatic, and thus avoid the moderately high mortality of the disease.
By the early 2000s, these competitions were named Comic Idol ( in reference to Pop Idol.

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