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Given and its
Given the absolute magnitude, you can also compute apparent magnitude from its parallax:
Given its " blue-water " bias, the navy is even less inclined to become involved in counterdrug operations than the army or air force.
* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.
" Given its general release in January 1931, City Lights proved to be a popular and financial success — eventually grossing over $ 5 million.
Given its different forms, there are various ways of representing uncertainty and modelling economic agents ' responses to it.
Given its roughly constant size, the encyclopaedia has needed to reduce or eliminate some topics to accommodate others, resulting in controversial decisions.
Given also a measure on set, then, sometimes also denoted or, has as its vectors equivalence classes of measurable functions whose absolute value's-th power has finite integral, that is, functions for which one has
Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).
: Given a point ( in terms of its coordinates ) and the direction ( azimuth ) and distance from that point to a second point, determine ( the coordinates of ) that second point.
Given these, a new term Anthropocene, is specifically proposed and used informally for the latest part of this epoch since approximately synchronous lithospheric evidence, or more recently atmospheric evidence, of human impacts have been found on the Earth and its ecosystems ; these impacts may be considered of global significance for future evolution of living species.
Given a complex-valued function ƒ of a single complex variable, the derivative of ƒ at a point z < sub > 0 </ sub > in its domain is defined by the limit
* Given a binary operation, an idempotent element ( or simply an idempotent ) for the operation is a value for which the operation, when given that value for both of its operands, gives the value as the result.
Given a general algorithm for integer factorization, one can factor any integer down to its constituent prime factors by repeated application of this algorithm.
Given its heavy dependence on imported energy, Japan has aimed to diversify its sources.
Given that different groups in society have different beliefs, priorities, and interests, to which group would the media tailor its bias?
Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.
Given that its brightest stars are of fifth magnitude, the constellation is invisible to the naked eye in areas with polluted skies.
In May 2006, the International Methodist-Catholic Dialogue Commission completed its most recent report, entitled " The Grace Given You in Christ: Catholics and Methodists Reflect Further on the Church ," and submitted the text to Methodist and Catholic authorities.
Given the ideals of Juche, North Korea chose to default on its loans and by the late 1980s its industrial output was declining.
Given its small domestic market but favourable location and a superb transport and communications base, Namibia is a leading advocate of regional economic integration.
Given its long stability and isolation, New Caledonia serves as a unique island refugium — a sort of biological ' ark ' — hosting a unique ecosystem and preserving Gondwanan plant and animal lineages no longer found elsewhere.
Given its continental origin as a fragment of Zealandia, unlike many of the islands of the Pacific such as the Hawaiian chain, New Caledonia is not of geographically recent volcanic provenance.

Given and native
Given the Saint Lawrence's heavy traffic and years of mis-use, the ecoregion is negatively effected by high pollution which in turn has resulted in diminished local populations of native fauna.
Given the origins of the cardinal tetra, namely blackwater rivers whose chemistry is characterised by an acidic pH, low mineral content and the presence of humic acids, the species is adaptable to a wide range of conditions in captivity, though deviation from the soft, acidic water chemistry of their native range will impact severely upon breeding and fecundity.
Given the almost complete elimination of 15th century music manuscripts in England, largely by Henry VIII during the Dissolution of the Monasteries in the 1530s, it is not surprising that most of Morton's music survives in sources from the Continent, and if he was ever active as a musician in his native land, all trace is lost.
Given Errtu's native environment, and the temperament of its denizens, this is an excellent survival trait and not too far off the mark.
Given the straightforward nature of the climbing ( Alaska Grade 1, snow up to 40 degree slope ), it is possible that an earlier ascent occurred, either by native Aleuts, Russians, or other visitors.
Given a proper language, programs, including operating system servers, could import multiple interfaces and combine them as if they were objects native to that language — notably C ++.
Given his high profile Laserna was absorbed into politics by those who wanted to present the world with one of the best examples of Colombian intellect, and so he served as the Colombian Ambassador to his native France ( 1976 – 1979 ) and to Austria ( 1987 – 1990 ), served in the Senate of Colombia and served as councillor of Bogotá.
He held this record until it was surpassed in 2007 by fellow Donegal native Shay Given, who by the end of 2011 had achieved 120 caps.
Given the length of occupancy of Crow Village by the native population, the site has had several archaeological digs.
Given his extensive absence from Iran, one of the first tasks Teymourtash set for himself upon returning to his native Iran was to retire to the seclusion of his family estates with the task of improving his Persian.

Given and distribution
Without doubt, the single most significant paper concerning the distribution of prime numbers was Riemann's 1859 memoir On the Number of Primes Less Than a Given Magnitude, the only paper he ever wrote on the subject.
Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.
Given their wide historical distribution, red wolves probably utilized a large suite of habitat types at one time.
Given the date of his publication and the widespread, permanent distribution of his work, it appears that he should be regarded as the originator of the concept of space sailing by light pressure, although he did not develop the concept further.
A conceptually very simple method for generating exponential variates is based on inverse transform sampling: Given a random variate U drawn from the uniform distribution on the unit interval ( 0, 1 ), the variate
Solomonoff's universal prior probability of any prefix p of a computable sequence x is the sum of the probabilities of all programs ( for a universal computer ) that compute something starting with p. Given some p and any computable but unknown probability distribution from which x is sampled, the universal prior and Bayes ' theorem can be used to predict the yet unseen parts of x in optimal fashion.
for every Borel subset U of R. Given a mixed state S, we introduce the distribution of A under S as follows:
Given testable information, the maximum entropy procedure consists of seeking the probability distribution which maximizes information entropy, subject to the constraints of the information.
Given the global nature of gonococcal and meningococcal diseases, the worldwide distribution of antibiotics, differing social practices in controlling and monitoring antibiotic availability, and geographical differences in treatment regimens, it is likely that the global problem of antibiotic resistance will continue in the foreseeable future.
Given that there are only two possible outcomes in a binomial distribution, one can determine the proportion of " noncases " from the proportion of " cases " and vice versa.
Given a random variate U drawn from the uniform distribution in the interval < nowiki >( 0, 1 )</ nowiki >, then the variate
Given a random variate U drawn from the uniform distribution in the interval < nowiki ></ nowiki >, the variate
Given the observed percentage difference p − q ( 2 % or 0. 02 ) and the standard error of the difference calculated above (. 03 ), any statistical calculator may be used to calculate the probability that a sample from a normal distribution with mean 0. 02 and standard deviation 0. 03 is greater than 0.
Given the unequal distribution of talent, energy, and luck, Classical legal thought posited that a self-executing, decentralized, competitive market economy would inevitably result in organized inequality.
The universal prior probability of any prefix p of a computable sequence x is the sum of the probabilities of all programs ( for a universal computer ) that compute something starting with p. Given some p and any computable but unknown probability distribution from which x is sampled, the universal prior and Bayes ' theorem can be used to predict the yet unseen parts of x in optimal fashion.
Given this property, the lifetime distribution function and event density ( F and f below ) are well-defined.
Given a specified distribution of matter and energy in the form of a stress – energy tensor, the EFE are understood to be equations for the metric tensor, as both the Ricci tensor and scalar curvature depend on the metric in a complicated nonlinear manner.
Given the mean arrival and service rates, then actual rates vary around these average values randomly and hence have to be determined using a cumulative probability distribution function.
Given our current estimate of the parameters θ < sup >( t )</ sup >, the conditional distribution of the Z < sub > i </ sub > is determined by Bayes theorem to be the proportional height of the normal density weighted by τ:
Given a statistical manifold, with coordinates given by, one writes for the probability distribution.
Given two jointly distributed random variables X and Y, the conditional probability distribution of Y given X is the probability distribution of Y when X is known to be a particular value.
Given two random variables X and Y whose joint distribution is known, the marginal distribution of X is simply the probability distribution of X averaging over information about Y.

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