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 this time Chania was the seat of a bishop.

By 729 Theodosius is believed to have become bishop of Ephesus.

By his unnamed wife, Theodosius III was the father of at least one son, Theodosius ( monastic name ), perhaps the bishop of Ephesus in 729 – after 754.

By the 14th century the county was surrounded on all parts by Burgundy's possessions and John of Burgundy, an illegitimate son of John the Fearless, was made bishop.

By his order in 1448, bishop Jonah was appointed metropolitan of Russia, which was tantamount to declaration of independence of the Russian Orthodox Church from the Patriarch of Constantinople.

By the end of the year he himself had been converted, and Augustine received consecration as a bishop at Arles.

By the 4th century, the bishop of Antioch had become the most senior bishop in a region covering modern-day eastern Turkey, Lebanon, Israel and Palestine, Syria, Jordan, Iraq, and Iran.

By 1524, Alonso Manso, bishop of Puerto Rico, had become interested in gaining personal wealth, and he accused Barrionuevo, among others, of various crimes under the Spanish justice system of the time.

By 1516 Afonso I sent various of his children and nobles to Europe to study, including his son Henrique Kinu a Mvemba, who was elevated to the status of bishop in 1518.

By Athanasius ' own account ( Athanasius, Epistola ad Constantinum ), he believed Frumentius the most suitable person for the job and consecrated him as bishop, traditionally in the year 328, or according to others, between 340-346.

By this time more detailed accounts of the importance of the conquest of Hernán Cortés began to be received, and on December 20, 1527, Zumárraga was recommended by Charles V for the post of first bishop of Mexico.

By the time bishop John Henry Hobart, of the Episcopal Diocese of New York, first visited the city of Geneva in 1818, the doors of Geneva Academy had just closed.

By Photius it is stated that Heraclean, bishop of Chalcedon, in his book against the Manichæans, said the Disputation of Archelaus was written by one Hegemonius, an author not otherwise traceable, and of unknown date.

By the Empress's persuasion he was appointed bishop of Piacenza, and he was sent to Constantinople to accompany home a Byzantine princess for the younger Otto.

By the time the Domesday Book was compiled in 1086, William the Conqueror had invested his own bishop ( Lansfranc ) with the Archbishopric of Canterbury and restored the lands of Harrow, appropriated by King Edward, to the Church.

By ( re ) creation of the Bishopric of Olomouc ( 1063 ) and creation of the Vyšehrad chapter ( 1070-richly endowed, independent from the Prague bishop, subjected directly to the Holy See ) and also by his obstinacy in conflict with the Prague bishop Jaromír, Vratislaus ultimately little depressed importance of bishop of Prague in domestic Bohemian politics, enabling thus more unified rule over the country for all following dukes and kings.

By the fourth century, the Christian population grew sufficient to merit a resident bishop.

By keeping these distinctions in view, the right of patronage in the case of parochial benefices becomes intelligible, being in fact the right, which was originally vested in the donor of the temporalities, to present to the bishop a clerk to be admitted, if found fit by the bishop, to the office to which those temporalities are annexed.

By the early constitutions of the Church of England a bishop was allowed a space of two months to inquire and inform himself of the sufficiency of every presentee, but by the ninety-fifth of the canons of 1604 that interval was reduced to twenty-eight days, within which the bishop must admit or reject the clerk.