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 1960 there were such schools in all but 4 states.

By the 1850s, slavery was still legal in the southern United States, but had been generally outlawed in the northern states, such as Illinois.

has no zero in F. By contrast, the fundamental theorem of algebra states that the field of complex numbers is algebraically closed.

By the summer of 1866 Johnson's method of restoring states to the Union by executive fiat, without safeguards for the Union Party or the freedmen, was in deep trouble.

By 454, the Delian League could be fairly characterized as an Athenian Empire ; at the start of the Peloponnesian War, only Chios and Lesbos were left to contribute ships, and these states were by now far too weak to secede without support.

By the 1960s, as VFL clubs increasingly recruited the best players from other states, they began to dominate the competition and the last match was played in 1976, with North Adelaide being the last non-Victorian winner in 1972.

By default, the system state will be in either of the minima states, because that corresponds to the state of lowest energy.

By contrast, Liechtenstein and Monaco are considered democratic states, yet the ruling monarchs in these countries wield significant executive power.

By 1993, the Federal Emergency Management Agency had made the program available nationwide ; by 2012, CERT programs were offered in all 50 states, the District of Columbia, Puerto Rico and the Northern Mariana Islands.

# By merger of national companies from different member states

# By the creation of a joint venture between companies ( or other entities ) in different member states

By April, the Revolution had spread to eighteen states, including Morelos where the leader was Emiliano Zapata.

By 1850 the German states were catching up, and by 1900 Germany was a world leader in industrialization, along with Britain and the United States.

By midcentury, the German states were catching up.

By 1500 CE, most of southern Africa had established states.

By 1914, forty-six states had regulations on cocaine and twenty-nine states had laws against opium, morphine, and heroin.

Robin Lane Fox states " By the early fifth century, we know of the ownership of private icons of saints ; by c. 480-500, we can be sure that the inside of a saint's shrine would be adorned with images and votive portraits, a practice which had probably begun earlier ".

* By the end of World War I, most Muslim states were seen to be dominated by the Christian-leaning Western states.

The link between Japheth and the Europeans stems from Genesis 10: 5, which states ," By these were the isles of the Gentiles divided in their lands.

By January 1944, Germany had diplomatic relations with only a handful of countries: Argentina, Ireland, Vichy France, the Salo Republic in Italy, Occupied Denmark, Sweden, Finland, Slovakia, Hungary, Romania, Croatia, Bulgaria, Switzerland, the Holy See, Spain, Portugal, Turkey, Thailand, Japan, and the Japanese puppet states of Manchukuo and the Wang Jingwei regime in China.

By a vote of 23 to 17, the senate voted to kill the motion by laying it on the table with every senator from states south of Missouri voting for the tabling.

* 1909 – By signing the Anglo-Siamese Treaty of 1909, Thailand relinquishes its sovereignty over the Malay states of Kedah, Kelantan, Perlis and Terengganu, which become British protectorates.

By then a string of dynastic states, including the earliest Hausa states, stretched across western and central Sudan.