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 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 this time Woodruff had accurately measured Pike as a man of great personal pride, a man who would fly into a towering rage if his integrity were questioned, and who would be anxious to avenge himself.

By tradition, a red wine should be served at approximately room temperature -- if anything a little cooler -- and be aged enough for the tannin and acids to have worked out and the sediment have settled well.

By then, the stranger was thanking Haney profusely and had one arm around his shoulders as if he were an old friend.

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 conditions accepted in the treaty, the Avars were to take possession of Pannonia and the Lombards were promised military support in Italy should the need arise ; also, for a period of 200 years the Lombards were to maintain the right to reclaim their former territories if the plan to conquer Italy failed, thus leaving Alboin with an alternative open.

By the well ordering principle, if there are positive integers that satisfy a given property, then there is a smallest positive integer that satisfies that property ; therefore, there is a smallest positive integer satisfying the property " not definable in under eleven words ".

* By whether the same key is used for both encryption and decryption ( symmetric key algorithms ), or if a different key is used for each ( asymmetric key algorithms ).

By not asking about the horses, Confucius demonstrates that the sage values human beings over property ; readers are led to reflect on whether their response would follow Confucius's and to pursue self-improvement if it would not have.

By contrast, if M ( t ) denotes the amount of money in a bank account at time t, then the function jumps whenever money is deposited or withdrawn, so the function M ( t ) is discontinuous.

By contrast, if we look at a point on the left and placed a small paddle wheel there, the larger " current " on its left side would cause the paddlewheel to rotate counterclockwise, which corresponds to a curl in the positive z direction.

By simply denying that an efficient first cause is problematic, being easily explained as the creative action of an omnipotent God, medieval theologians re-purposed and enhanced Aristotle's argument, as if the intention had been to prove God's existence.

These skillfully rendered paintings encouraged fan Glenn Bray to ask Barks if he could commission a painting of the ducks (" A Tall Ship and a Star to Steer Her By ", taken from the cover of Walt Disney's Comics and Stories # 108 by Barks ).

By repeatedly evaluating their course, and adjusting if they are moving in the wrong direction, bacteria can direct their motion to find favorable locations with high concentrations of attractants ( usually food ) and avoid repellents ( usually poisons ).

By treating the extra acceleration terms due to the rotation of the frame as if they were forces, subtracting them from the physical forces, it's possible to treat the second time derivative of position ( relative to the rotating frame ) as absolute acceleration.

By contrast, if the same historian had made the same claim five times in five different places ( and no other types of evidence were available ), the claim is much weaker because it originates from a single source.

By contrast, a person who had been acquitted of a lesser offence could not be tried for an aggravated form even if new evidence became available.

By contrast, if the bridge actually supported his weight then he might say he " thought " that the bridge was safe, and now after proving it to himself, he knows.

By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic.

By Euclid's lemma p < sub > 1 </ sub > must divide one of the q < sub > j </ sub >; relabeling the q < sub > j </ sub > if necessary, say that p < sub > 1 </ sub > divides q < sub > 1 </ sub >.