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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 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 first
By 1853, the new partnership announced the precision vernier caliper as the first fruit of their joint efforts.
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 comparing reaction cells sealed from the same manifold temperature dependency corresponding to activation energies ranging from 11 to 18 Af was observed while dependence on the first power of the light intensity seemed to be indicated in most cases.
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 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 convention in some law reports, the appellant is named first.
By 1865, following the American Civil War, stocks in small industrial companies, such as iron and steel, textiles and chemicals were first sold by curbstone brokers.
By the first wife he had Mustafa III and by the second wife he had Abdul Hamid I.
By the 1850s when they first came into sustained contact by outside groups, there were estimated 7, 000 Adamanese, divided into the following major groups:
By his first wife, whose name is not known, he had three children:
By his first wife, Eschiva of Ibelin, he was the father of Hugh I of Cyprus and was crowned in Nicosia on September 22, 1197.
By 473 BC, after the death of Phrynichus, one of his chief rivals, Aeschylus was the yearly favorite in the Dionysia, winning first prize in nearly every competition.
By the 1950s, the development of civil jets grew, beginning with the de Havilland Comet, though the first widely-used passenger jet was the Boeing 707, because it was much more economical than other planes at the time.
By the 1st century BC, Aediles were elected in July, and took office on the first day in January.
By the 19th century orchestral music in Europe had standardized the string section into the following homogeneous instrumental groups: first violins, second violins, violas, cellos, and double basses.
By the end of 1898, Western pilgrims started coming to Akka on pilgrimage to visit ` Abdu ' l-Bahá ; this group of pilgrims, including Phoebe Hearst, was the first time that Bahá ' ís raised up in the West had met ` Abdu ' l-Bahá.
By the first century BC brass was available in sufficient supply to use as coinage in Phrygia and Bithynia, and after the Augustan currency reform of 23 BC it was also used to make Roman dupondii and sestertii.
By " computerizing " this method of communications, the name of the first BBS system was born: CBBS-Computerized Bulletin Board System.
By October 2007 bluetongue had become a serious threat in Scandinavia and Switzerland and the first outbreak in Denmark was reported.
By 1977, in its first edition, Disk / Trend, a leading hard disk drive industry marketing consultancy segmented the industry according to MBs ( decimal sense ) of capacity.
By 1985, construction was completed and the World Financial Center saw its first tenants.
By an accident, a painter misinterpreted the name and painted " Ski-Doo " on the first prototype.
The 1523 " Turin map " of the islands was the first to refer to them as Los Lagartos, meaning alligators or large lizards, By 1530 they were known as the Caymanes after the Carib word caimán for the marine crocodile, either the American or the Cuban crocodile, Crocodylus acutus or C. rhombifer, which also lived there.
By 1972, the economic progress of Allende's first year had been reversed, and the economy was in crisis.
By the middle of the decade, some of the 1950s generation of American comedians, such as Jerry Lewis, went into decline, while Peter Sellers found success with international audiences in his first American film The Pink Panther.

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