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 doing so, the same construction process can create different representations.

) By putting together these two representations, they found HS, with a one-point stabilizer isomorphic to M < sub > 22 </ sub >.

The only graphics are a large " On Air / Stand By " sign in the middle of the screen, visual representations of the players ' button assignments, and a box for name entry.

By applying rules of precedence for the generation of stringified notations, one can obtain unique /' canonical ' string representations such as ' canonical SMILES '.

By Schur's lemma, this will be a multiple of the identity for irreducible representations.

“ By creating a spectacle in which a fragment of the governing body, the presidential hand, was asked to stand for corporate business ,” writes Ewa Lajer-Burcharth, “ Wodiczko offered a suggestion about the class identity of those forces that – hidden under the guise of God, State, and Nation – are the actual receivers of the pledge of allegiance .” In subsequent projections, the artist layered iconic representations of global capitalism, militarism, and consumerism with images of fragments of the body to suggest a consideration of our relation to public space that is contingent both to history and social and political ideologies of the present.

By Schur's lemma, its action is proportional to the identity map, for irreducible representations.

By building configural display representations that conform to this deep structure -- it is possible to facilitate skilled interactions between the human and the work domain.

By combining the quaternion representations of the Euler rotations we get

By Frobenius reciprocity, on K they decompose as a direct sum of the irreducible representations of K with dimensions | k | + 2m + 1 with m a non-negative integer.

`` By telling him you are making passes at me ''??

By `` image '' is meant not only a visual presentation, but also remembered sensations of any of the five senses plus the feelings which are immediately conjoined therewith.

By the same test predispositions destructive of human personality exercise their most sinister impact, with the result that men of good will are often trapped and nullified.

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 comparison, Stone Harbor bird sanctuary's allies seem less formidable, for aside from the Audubon Society, they are mostly the snowy, common and cattle egrets and the Louisiana, green, little blue and black-crowned herons who nest and feed there.

By God, they're a-coming, they are ''!!

By fixing the tax rate in advance of spending, upper limits are set on expenditures.

By this standard, it is determined that where two stations operating on the same frequency are involved, objectionable interference from station A exists at any point within the service area of station B where station A's signal is of an intensity one-twentieth or more of the strength of station B's signal at that point.

By supporting the efforts of the many faculty members who are working to attain ever higher standards, the president can encourage faculty leadership.

By that, one feels that magnetic forces are as general as electrical forces.

By such innocent actions are human tragedies sometimes set in motion.

By the time pupils reach the sixth grade, their ethical and moral standards are fairly well developed ; ;

By this procedure rinsing progresses in two stages, first by dilution until the time when the drains are separated and thereafter by displacement of the soil-bearing liquor by clean rinse water, since soiled liquor squeezed from the specimens at the nip passes directly to waste from the suds box drains.

By no means are these isolated cases.

By and large their programs are satisfactorily connected both to the employment situation and to the realities of the apprentice system.

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 the 27th century BC Egyptian writing had a set of some 24 hieroglyphs which are called uniliterals, to represent syllables that begin with a single consonant of their language, plus a vowel ( or no vowel ) to be supplied by the native speaker.

By the Naturalisation Act 1870, it was made possible for British subjects to renounce their nationality and allegiance, and the ways in which that nationality is lost are defined.

By some estimates, this might account for most of the internal radiation damage, as the recoil nuclei are typically heavy metals which preferentially collect on the chromosomes.

The largest species are red alder ( A. rubra ) on the west coast of North America, and black alder ( A. glutinosa ), native to most of Europe and widely introduced elsewhere, both reaching over 30 m. By contrast, the widespread Alnus viridis ( green alder ) is rarely more than a 5 m tall shrub.

By endocytosis or phagocytosis, exogenous antigens are taken into the antigen-presenting cells ( APCs ) and processed into fragments.

By painting the Roman-Christian relations in this light, Luke hopes to persuade Rome that Christians are not enemies of the government and should not be looked upon with suspicion or even fear.

By the third millennium BCE, widespread civilizations had developed sophisticated awareness of celestial cycles, and are believed to have consciously oriented their temples to create alignment with the heliacal risings of the stars.

By opening the stop wider, similar deviations arise for lateral points as have been already discussed for axial points ; but in this case they are much more complicated.