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 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 making inroads in the name of law enforcement into the protection which Congress has afforded to the marriage relationship, the Court today continues in the path charted by the recent decision in Wyatt v. United States, 362 U.S. 525, where the Court held that, under the circumstances of that case, a wife could be compelled to testify against her husband over her objection.

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 automobile from New York, for example, you can take a one or two-day tour to Annapolis, Maryland to see the colonial homes and the U.S. Naval Academy ( where you can shoot the dress parade on Wednesdays ) ; ;

By this time Churchill was not so cordial toward moving Poland westward as he had been at Teheran, where he and Eden had both heartily approved the idea.

By the early 1960s, most of East and Central Africa, where the majority of the Ismāʿīlī population on the continent resided including Tanganyika, Kenya, Uganda, Malagasy, Rwanda, Burundi and Zaire, had attained their political independence.

By the time of Mesalim, whichever dynasty controlled the city of Kish was recognised as šar kiššati (= king of Kish ), and was considered preeminent in Sumer, possibly because this was where the two rivers approached, and whoever controlled Kish ultimately controlled the irrigation systems of the other cities downstream.

By 150 BC, Assyria was under the control of the Parthian Empire as Athura ( the Parthian word for Assyria ) where the Assyrian city of Ashur seems to have gained a degree of autonomy, and temples to the native gods of Assyria were resurrected.

By the early 1960s, US research on the Nike Zeus missile system had developed to the point where small improvements would allow it to be used as the basis of a " real " ABM system.

By October he had taken a prospective hijacker Mushabib al-Hamlan from Afghanistan to Saudi Arabia where they both procured B-1 / B-2 tourist / business visas on October 28 – but Hamlan then decided not to proceed and is thought to have returned to his family.

" By 1928, Fuller was living in Greenwich Village and spending much of his time at the popular café Romany Marie's, where he had spent an evening in conversation with Marie and Eugene O ' Neill several years earlier.

By the time Esther was written, the foreign power visible on the horizon as a future threat to Judah was the Macedonians of Alexander the Great, who defeated the Persian empire about 150 years after the time of the story of Esther ; the Septuagint version noticeably calls Haman a " bully " ( βουγαῖον ) where the Hebrew text describes him as an Agagite.

By contrast most of the party's seats were won either due to the absence of a candidate from one of the other parties or in rural areas on the " Celtic fringe ", where local evidence suggests that economic ideas were at best peripheral to the electorate's concerns.

By the early 1910s, Jefferson began traveling frequently to Dallas, where he met and played with fellow blues musician Lead Belly.

By changing Bovril to a non-meat base, Unilever hoped to increase sales there, where people enjoy Bovril stirred into porridge.

By contrast, in civil law jurisdictions ( the legal tradition that prevails in, or is combined with common law in, Europe and most non-Islamic, non-common law countries ), courts lack authority to act where there is no statute, and judicial precedent is given less interpretive weight ( which means that a judge deciding a given case has more freedom to interpret the text of a statute independently, and less predictably ), and scholarly literature is given more.

By making these moments where the harmony changes more focal, he enabled powerful dramatic shifts in the emotional color of the music.

By 1574 there were castrati in the Ducal court chapel at Munich, where the Kapellmeister ( music director ) was the famous Orlando di Lasso.

By the 16th century, Cairo also had high-rise apartment buildings where the two lower floors were for commercial and storage purposes and the multiple stories above them were rented out to tenants.

By estimating both the clay and temper compositions, and locating a region where both are known to occur an assignment of the material source can be made.

By quickly setting up for the next play ( often within 5 – 10 seconds after the last play despite being afforded 45 seconds ) this hindered the other team's defense from substituting situational players, regrouping for tactics, and, some suggest, increased the defense's rate of fatigue ( This is attributed to the belief that the offense dictates when a play starts so they tend to be more mentally relaxed and prepared for the start of a play where the defense must remain on a higher level of alert before the play starts ).

By the beginning of the Warring States, progress in astronomy and mathematics allowed the creation of calculated calendars ( where intercalary months and days are set by a rule, and not arbitrarily ).

By starting with an inertial frame, where Newton's laws of motion hold, and keeping track of how the time derivatives of a position vector change when transforming to a rotating reference frame, the various fictitious forces and their forms can be identified.

By the end of that decade, calculator prices had reduced to a point where a basic calculator was affordable to most and they became common in schools.