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.

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 contrast the car's cruise control uses closed loop feedback, which classifies it as a servomechanism.

By both standards Thomas had the right to be proud.

By this time Churchill was not so cordial toward moving Poland westward as he had been at Teheran, where he and Eden had both heartily approved the idea.

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

By seeing such varied places, both interesting and beautiful, you will become aware of the many different civilizations Rome has lived through, and in particular, get a feel of Renaissance Rome.

By trying to be both a serious survey of a bygone era and a showcase for today's artists, the program turned out to be a not-quite-perfect example of either.

By this consideration atomic physics provides the underlying theory in plasma physics and atmospheric physics, even though both deal with very large numbers of atoms.

By contrast, the Rijndael specification per se is specified with block and key sizes that may be any multiple of 32 bits, both with a minimum of 128 and a maximum of 256 bits.

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 Endeïs Aeacus had two sons, Telamon and Peleus ( father of Achilles ), and by Psamathe a son, Phocus, whom he preferred to the two others, both of whom contrived to kill Phocus during a contest, and then fled from their native island.

By 1871 both ʿAlī Pasha and Fuʿād Pasha were dead.

By the mid-1960s, both systems showed enough promise to start development of base selection for a limited ABM system dubbed Sentinel.

By October he had taken a prospective hijacker Mushabib al-Hamlan from Afghanistan to Saudi Arabia where they both procured B-1 / B-2 tourist / business visas on October 28 – but Hamlan then decided not to proceed and is thought to have returned to his family.

By the turn of the century, cycling clubs flourished on both sides of the Atlantic, and touring and racing became widely popular.

By both chance and providence, Ruth, a destitute, widowed and childless outsider, becomes an ancestress of King David ( Ruth 4: 13 ).

By managing the European and African populations as one-by strategic exports from Europe combined with in-situ transfers, gene-loss is reduced to 0. 72 % every 100 years with both populations remaining stable.

By 16: 00, Alexander and Swiftsure were also in sight, although some distance from the main British fleet, and Brueys gave orders to abandon the plan to remain at anchor and instead for his line to set sails, although Blanquet protested the order on the grounds that there were not enough men aboard the French ships to both sail the ships and man the guns.

By 1910 both factions together had fewer than 100, 000 members.

By late February 1896, supplies on both sides were running low.

By 1938 the couple had drifted apart, as both focussed heavily on their work.

* 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 adopting a moderately liberal constitution in 1828, Pinto alienated both the federalists and the liberal factions.

By the early twentieth century, both parties were winning increasing numbers of seats in Congress.

By choosing widely separated keys, one could employ one dimple as a ' shift ' key to allow both letters and numbers to be produced.

By estimating both the clay and temper compositions, and locating a region where both are known to occur an assignment of the material source can be made.