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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, these clouds must have a v < sub > lsr </ sub > greater than 90 km s < sup >− 1 </ sup >, where v < sub > lsr </ sub > is the local standard rest velocity.
By definition, there was only one " catholic " or " universal " Church.

By and requires
By contrast, the EM far-field is composed of radiation that is free of the transmitter in the sense that ( unlike the case in an electrical transformer ) the transmitter requires the same power to send these changes in the fields out, whether the signal is immediately picked up, or not.
By July 1947 Washington realized that economic recovery in Europe could not go forward without the reconstruction of the German industrial base, deciding that an " orderly, prosperous Europe requires the economic contributions of a stable and productive Germany.
By far the most common form, shoujo, follows English phonology, preserves the spelling, and requires only ASCII input.
By its very nature, conceptualizing a supply curve requires that the firm be a perfect competitor — that is, that the firm has no influence over the market price.
By its very nature, conceptualizing a demand curve requires that the purchaser be a perfect competitor — that is, that the purchaser has no influence over the market price.
By contrast, an open surgical procedure or laparotomy requires a large incision to access the area of interest.
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 Framingham criteria, diagnosis of congestive heart failure ( heart failure with impaired pumping capability ) requires the simultaneous presence of at least 2 of the following major criteria or 1 major criterion in conjunction with 2 of the following minor criteria:
By chance, however, he is summoned by Mazarin, who requires an escort, as the French people detest Mazarin, and are on the brink of rebellion ( La Fronde ).
By necessity, this requires the first ball to be staked out on a roquet shot and the second ball to be staked out on the ensuing continuation shot.
By contrast, global protein synthesis that occurs in the cell body requires that proteins be shipped out to every area of the cell, including synapses that have not received LTP-inducing stimuli.
In literature, the epic was considered the highest form, for the reason expressed by Samuel Johnson in his Life of John Milton: " By the general consent of criticks, the first praise of genius is due to the writer of an epick poem, as it requires an assemblage of all the powers which are singly sufficient for other compositions.
By comparison, at a security level of 80 bits, meaning an attacker requires the equivalent of about signature generations to find the private key, the size of a DSA public key is at least 1024 bits, whereas the size of an ECDSA public key would be 160 bits.
By its second section this act requires that not less than 50 percent of the cars in a train shall have their train brakes used and operated by the engineer on the locomotive, and confers upon the Interstate Commerce Commission ( ICC ) the authority to increase this minimum percentage to the end that the objects intended may be more fully accomplished.
By regulation, OSHA requires that employers keep a record of every non-consumer chemical product used in the workplace.
By contrast the Bingham Plastic requires two parameters, the yield stress and the slope of the line, known as the plastic viscosity.
By default, DirectPlay uses multi-threaded programming techniques and requires careful thought to avoid the usual threading issues.
By comparison, the boiler insurance industry, which like title insurance requires an emphasis on inspections and risk analysis, pays 25 % of its premiums in claims.
By being adversarial this form of review naturally requires a marked difference of opinion between the parties involved, or some other form of enmity.
By 1906 a crack, through and around the top of the tower, directly under the lantern requires its demolition.
By comparison, PIOLS made of collamer ( a foldable gel-like substance ) requires a very small incision due the flexibility of the material and thus significantly reduces astigmatism risk.
By a longstanding tradition, the dismissal of a Patriarch of Jerusalem and the election of a replacement requires the approval or recognition of the governments in the regions of the Patriarchate's authority-presently, Israel, the Palestinian Authority, and Jordan.
By some interpretations, the rule requires at least two more firefighters to remain outside, even when the standby team has gone in to find and rescue the first team.
The " Stand By Your Ad " provision ( SBYA ) of the Bipartisan Campaign Reform Act ( BCRA, also known as " McCain-Feingold "), enacted in 2002, requires candidates in the United States for federal political office, as well as interest groups and political parties supporting or opposing a candidate, to include in political advertisements on television and radio " a statement by the candidate that identifies the candidate and states that the candidate has approved the communication.

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