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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 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 does
By contrast, in an inquisitiorial system, the fact that the defendant has confessed is merely one more fact that is entered into evidence, and a confession by the defendant does not remove the requirement that the prosecution present a full case.
# Obviously Transcendent: By depending on the perfection of wisdom, bodhisattva does not abide in either
By contrast, evidence based on the textual differences between the Septuagint and the Masoretic Text has been used to argue that the context of the MT truly does depict a historical Jeremiah.
Taylor & Taylor ( 1995: 124 ) concluded, " By and large, Pinyin represents the Chinese sounds better than the Wade-Giles system, and does so with fewer extra marks.
By the autumn of 1559 several foreign suitors were vying for Elizabeth's hand ; their impatient envoys engaged in ever more scandalous talk and reported that a marriage with her favourite was not welcome in England: " There is not a man who does not cry out on him and her with indignation ... she will marry none but the favoured Robert ".
By encouraging clarity on the active subject that " does " or wants or believes something, and disallowing passive constructions about the state of affairs ( a common use of " to be "), E-Prime makes it more difficult to hide assumptions in statements about The Other or equivalent constructions such as " they " or " most people " or " the public " or " the taxpayer ".
By contrast, theology does assert high value for some unquestioned and eternal past-to-future equivalences.
He notes, " By how much does the solar year exceed the lunar year?
The judge in the Dover trial wrote " By defining irreducible complexity in the way that he has, Professor Behe attempts to exclude the phenomenon of exaptation by definitional fiat, ignoring as he does so abundant evidence which refutes his argument.
* " By defining irreducible complexity in the way that he has, Professor Behe attempts to exclude the phenomenon of exaptation by definitional fiat, ignoring as he does so abundant evidence which refutes his argument.
" Musicologist Jean-Jacques Nattiez summarizes the relativist, post-modern viewpoint: " The border between music and noise is always culturally defined — which implies that, even within a single society, this border does not always pass through the same place ; in short, there is rarely a consensus ... By all accounts there is no single and intercultural universal concept defining what music might be.
By the second edition of PM, Russell had removed his axiom of reducibility to a new axiom ( although he does not state it as such ).
By Robert Graves's definition, a religion's traditional stories are " myths " if and only if one does not belong to the religion in question.
By itself, it is not protected in the United States of America, where use of the name " Roget " in the title of a thesaurus does not necessarily indicate any relationship to Dr. Roget ; it has come to be seen as a generic thesaurus name, like " Webster " for dictionaries.
By contrast, the cut-and-paste transposition mechanism of class II TEs does not involve an RNA intermediate.
By applying sprezzatura to his speech and everything else he does, the courtier appears to have grazia and impresses his audience, thereby achieving excellence and perfection.
By convention, the term vitamin does not include other essential nutrients such as dietary minerals, essential fatty acids, or essential amino acids ( which are needed in larger amounts than vitamins ), nor does it encompass the large number of other nutrients that promote health but are otherwise required less often.
By contrast, Buddhism does not encourage or discourage marriage, although it does teach how one might live a happily married life and emphasizes that marital vows are not to be taken lightly.
By design, any RIFF file can legally include additional chunks of data, each identified by a four-character code ; software which does not understand that particular code should skip the chunk.
By itself, hop count is not a useful metric for determining the optimum network path, as it does not take into consideration the speed, load, reliability, or latency of any particular hop, but merely the total count.
By taking the derivative of the optical path length, the stationary point is found giving the path taken by the light ( though it should be noted that the result does not show light taking the least time path, but rather one that is stationary with respect to small variations as there are cases where light actually takes the greatest time path, as in a spherical mirror ).
* By quietude alone one does not become a sage ( muni ) if he is foolish and ignorant.

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