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 then, Confucius had build up a considerable reputation through his teachings, while the families came to see the value of proper conduct and righteousness, so they could achieve loyalty to a legitimate government.

By 1857, tensions had again escalated between Mormons and other Americans, largely as a result of church teachings on polygamy and theocracy.

Faith involves more than outward obedience to this authority, but also must be based on a deep personal understanding of religious teachings. By faith is meant, first, conscious knowledge, and second, the practice of good deeds.

" By the spirit of Vatican II " is meant to promote the teachings and intentions attributed to the Second Vatican Council in ways not limited to literal readings of its documents, but not in contradiction to the " letter " of the Council ( cf.

By the 11th century, Neo-Platonism was adopted by the Fatimid state of Egypt, and taught by their da ' i. Neo-Platonism was brought to the Fatimid court by Iraqi Hamid al-Din al-Kirmani, although his teachings differed from Nasafi and Sijistani, who were more aligned with original teachings of Plotinus.

By the time that he graduated from Nankai, Zhang Boling's teachings of gong ( public spirit ) and neng ( ability ) had made a great impression on him.

By assigning human traits to the animals, and through the utilization of these anthropomorphic animals, the authorship was more effectively able to communicate the various motifs, which impart a variety of moral teachings.

By this point, Tina Turner had looked inward to help her own problems and soon found it after a friend in their entourage introduced Tina to the teachings of Buddhism.

* By declaring that the teachings of the Second Vatican Council contradict the Church's Tradition, they either repudiate the teaching of the First Vatican Council on the infallibility of even the ordinary and universal magisterium of the Pope and the bishops, or they implicitly deny that the Pope and bishops at the Second Vatican Council were truly the Pope and truly Catholic bishops.

" By distilling the complex models, theories, rhetorical style and sheer volume of the Buddha's teachings into concise, crystalline verses, the Dhammapada makes the Buddhist way of life available to anyone ... In fact, it is possible that the very source of the Dhammapada in the third century B. C. E.

By claiming that the phenomenal world is not distinct from Dharma, Tendai doctrine allows for the reconciliation of beauty and aesthetics with Buddhist teachings.

By engaging in teachings from Odeen, she also concludes on her own the supernova problem that Lamont uncovered in the first section ; outraged that the Pump is allowed to continue to operate, despite the fact that it will eventually result in the destruction of another civilization, she attempts to put a stop to the project.

By 183, his teachings and followers had spread to eight provinces — Qing ( 青州, modern central and eastern Shandong ), Xu ( 徐州, modern northern Jiangsu and Anhui ), You ( 幽州, modern northern Hebei, Liaoning, Beijing, and Tianjin ), Ji, Jing ( 荊州, modern Hubei and Hunan ), Yang ( 揚州, modern southern Jiangsu and Anhui, Jiangxi, and Zhejiang ), Yan ( 兗州, modern western Shandong ), and Yu ( 豫州, modern central and eastern Henan ).

By that time, the Doukhobors of the region had become vegetarian, and become aware of Leo Tolstoy's philosophy, which they found quite similar with their traditional teachings.

By following the practices and teachings of Muhammad, one can achieve baraka through the emulation of Sunnah.

By combining the pictorial composition of his youth with the teachings of naturalism, Michael Ancher created what has been called modern monumental figurative art such as A Baptism.

By doing so, the Abhidhamma analysis constituted independent existing ' things ', contrary to the Buddha's teachings on the middle way.

By the early 40's, many ministers and congregations began to feel that the now existing headquarters and committees of the church were not addressing these concerns, and instead were " compromising " further the original message of Daniel Warner and the teachings of the Bible in order to gain fellowship with other denominations.

By questioning and abandoning these beliefs, an historical precedent was made which allowed future generations to be more influenced by teachings which went further in denying other Calvinist teachings.

By the early 15th century, combating Lollard teachings had become a key political issue, championed by Henry IV and his Lancastrian followers, who used the powers of both the church and state to combat the heresy.

" By refusing to return evil for evil, by living in peace, sharing goods, and doing deeds of charity as opportunities arise, the church witnesses, says Yoder, to the fact that an alternative to a society based on violence or the threat of violence has been made possible by the life, death, resurrection and teachings of Jesus.

By 21, he was already a mujtahid and whilst studying in Mashhad he became attracted to the teachings of Shaykh Ahmad and Shaykhism.