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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 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 and difference
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 this time the main difference between light and battle cavalry was their training ; the former was regarded as a tool for harassment and reconnaissance, while the latter was considered best for close-order charges.
By the end of the story, there is little physical difference between the body of the hero, now called Andrew, and humans equipped with advanced prosthetics, save for the presence of Andrew's artificial positronic brain.
By developing something better, Babbage had rendered the difference engine useless in the eyes of the government.
By inserting the energetic definitions of the ionization potential and electron affinity into the Mulliken electronegativity, it is possible to show that the Mulliken chemical potential is a finite difference approximation of the electronic energy with respect to the number of electrons., i. e.,
By July 1944, it was in any case too late for Goebbels and Speer ’ s internal coup to make any real difference to the outcome of the war.
By Bernoulli's principle, this implies a pressure difference and therefore lift.
By comparing the times of the eclipses, the difference in longitude of Paris to Uranienborg was calculated.
By the third week, this difference between the two groups had disappeared.
By measuring the frequency of the returned signal and comparing that with the original, the difference can be easily measured.
By tuning the frequency of the local oscillator f < small >< sub > LO </ sub ></ small >, the resulting difference frequency f < small >< sub > LO </ sub ></ small >-f < small >< sub > d </ sub ></ small >
By dividing the difference in y-coordinates by the difference in x-coordinates, one can obtain the slope of the line:
By measuring the difference in time between the pulse being transmitted and the echo being received, it is possible to determine how far away the object is.
By Morpheus's estimation, then, of there being an approximate 200 year difference between the era in the Matrix and the era of the real world, with the knowledge that Neo's time is actually the 6th incarnation of the Matrix ( and an estimated 200 years or so for each incarnation ), that could potentially mean the year in the real world is closer to the year 3399.
By the early 2000s, there was little price difference between a hub and a low-end switch.
By contrast, passband bandwidth is the difference between a highest frequency and a nonzero lowest frequency.
By the time of the Union of Lublin in 1569, there was not much difference between the administrative and judicial systems in force in Lithuania and Poland.
By conquering foreign markets, the issuing rulers would enjoy extra income from seigniorage ( the difference between the value of the coin and the value of the metal the coin was made of ).
By the 1950s, there was no statistically significant difference between Republicans and Democrats on tariff policies.
By the time it arrives at the water mill the difference in levels between the leat and the main stream is great enough to provide a useful head of water – several metres ( perhaps 5 to 15 feet ) for a watermill, or a metre or less ( perhaps one to four feet ) for a water-meadow.
By separating positive and negative charges, electric potential difference is produced, generating an electric field.
By 1990, the difference in income between Argentina and the other Latin American countries was much smaller.
By night, he becomes an efficient waiter though he finds it difficult to tell the difference between the " in " and " out " doors to the kitchen, or to successfully deliver a roast duck to table through a busy dance floor.

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