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 working very hard, one may be able to make this part 5 times faster, but this only reduces the time for the whole computation by a little.

By the 19th Century the first signs of information science emerged as separate and distinct from other sciences and social sciences but in conjunction with communication and computation.

By utilizing matrix-based computation, dynamic typing, and automatic memory management, many numerical problems may be expressed in a reduced number of code lines, as compared to similar solutions using traditional languages, such as Fortran, C, or C ++.

By the computation we did above, if we cup this class with any class of type ( p, q ) ≠ ( k, k ), then we get zero.

By the High Middle Ages, the positional Hindu-Arabic numeral system had reached Europe, which allowed for systematic computation of numbers.

By straightforward computation, its Pincherle derivative is

By the early 1990s, when Second Edition versions of Numerical Recipes ( with code in C, Fortran-77, and Fortran-90 ) were published, it was clear that the constituency for Numerical Recipes was by no means the majority of scientists doing computation, but only that slice that lived between the more mathematical numerical analysts and the larger community using integrated environments.

By 1939, Vinter Hansen was the First Astronomer at the Observatory of the University of Copenhagen, widely known for her accurate computation of orbits of minor planets and comets.

By interleaving independent instructions between the memory fetch instruction and the instructions manipulating the fetched operand, the time occupied by the memory fetch could be used for other computation.

By choosing appropriate coordinate conditions and making crude analytic assumption about the fields near the singularity ( since no physical effects can propagate out of the black hole, the crudeness of the approximations does not matter ), numerical solutions could be obtained to the problem of two black holes orbiting each other, as well as accurate computation of gravitational radiation ( ripples in spacetime ) emitted by them.

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 virtue of his self-reliance, his individualism and his freedom from external restraint, the private eye is a perfect embodiment of the middle class conception of liberty, which amounts to doing what you please and let the devil take the hindmost.

By upholding his own personal code of behavior, the private detective has placed himself in opposition to a society whose fabric is permeated with crime and corruption.

By our policy the West was -- is -- split.

By law this is 75% for the Virgin Islands, Guam and Puerto Rico.

By law this is 70% for the Virgin Islands, Guam and Puerto Rico.

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 this time Henri's entire chest-back-lat-shoulder area is pumped-up to almost bursting point, and Claude takes time to do a bit more pectoral-front deltoid shaping work.

By this scheme, pulling one signal to clear locks all the other switch and signal levers in safe positions until the first signal is again restored to normal.

By lifting the seat upwards a little, the weight is taken off the neck and the back is kept rounded.

By the middle of the summer, many of the larvae apparently receive such a good diet that it is `` optimal '', and it is then that young queens begin to appear.

By Theorem 10, D is a diagonalizable operator which we shall call the diagonalizable part of T.

By ( 1 ), the image of this pencil is a ruled surface of order Af which is met by the plane of the pencil in a curve, C, of order Af.

By means of this social control, deviance is either eliminated or somehow made compatible with the function of the social group.

By the time the child first attacks the actual problem of reading, he is completely familiar and at ease with all of the elements of words.

By this time there is little doubt but what election plans were complete.

By the very nature of the situation, it is the union which has been able to select the time and place to bring pressure upon management.

By all means the most important distinction is that between those total-cost apportionments which superimpose a distribution of admittedly unallocable cost residues on estimates of incremental or marginal costs, and those other apportionments which recognize no difference between true cost allocation and mere total-cost distribution.

By airline from Concord to Burlington is a distance of about 150 miles, counting a slight deviation for the stop at either Barre or Montpelier.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By means of charts showing wave-travel times and depths in the ocean at various locations, it is possible to estimate the rate of approach and probable time of arrival at Hawaii of a tsunami getting under way at any spot in the Pacific.