However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.

However, much more often, it is the reverse problem that needs to be solved: The electric charge distribution is known, and the electric field needs to be computed.

However, if the value of is not already known then it may be computed by an additional loop over the data to determine the maximum key value that actually occurs within the data.

However, positional accuracy could usually be computed to within 100-meters for a slow-moving ship, even with reception of just one two-minute Doppler curve.

However, there remains a further possible source of cancellation when computing and indeed this can lead to up to half of significant figures being lost: to correct for this requires to be computed in extended precision, of twice the precision of the final result ( see quadratic equation for details ).

However, the deviation is also subject to the weighting function before the error function is computed.

However, the memory performance is computed by dividing the processor clock rate ( which is a base number times a CPU multiplier, for instance 1. 8 GHz is most likely 9 × 200 MHz ) by a fixed integer such that, at a stock clock rate, the RAM would run at a clock rate near 333 MHz.

However, when MSE is computed for a particular estimator of the true value of which is not known, it will be subject to estimation error.

However, the point-price elasticity can be computed only if the formula for the demand function,, is known so its derivative with respect to price,, can be determined.

However, in cases where it is possible to select the sample of outlets from which prices are collected so as to reflect the shares of sales to consumers of the different outlet types covered, self-weighted elementary aggregate indexes may be computed.

However, for a matrix with strictly positive entries, this vector is unique and can be computed by observing that for any we have the following limit,

However, these restricted notions are not as relevant, for in most cases the optimal modulus of could not be computed explicitly, but only bounded from above ( by any modulus of continuity of f ).

However, entropy is a function of state, and therefore the entropy change can be computed directly from the knowledge of the final and initial equilibrium states.

However, the term lazy evaluation is most often used to refer to an evaluation strategy for all computation in a language, whereas lazy futures represent specific values that are computed lazily, even in a language where computation is normally strict or eager.

However, if the overhead rate is computed annually based on the actual costs and activity for the year, the manufacturing overhead assigned to any particular job would not be known until the end of the year.

However, in physics — precision, accuracy, and error are computed based upon the instrument and the measurement data.

However, the gamma rays from iodine-123 and iodine-131 can also be seen by single photon emission computed tomography ( SPECT ) imaging.

However, if the child has been constantly surrounded, during nursery and early school age, by peer groups ; ;

However, my principal objection in this sort of novel is to the hackneyed treatment of race-drivers, pilots, submariners, atomic researchers, and all the machine-masters of our age as brooding mystics or hysterical fatalists.

However, there are notable exceptions to this in all major translations, such as: “… I am with you always, to the end of the age ” ( NRSV ), the word “ age ” being a translation of aion.

However, Mary II died childless in 1694, after which William III did not remarry, and Princess Anne's last surviving child, Prince William, Duke of Gloucester, died six years later, after which it was unlikely she would have any more children due to her age and the large number of miscarriages she had previously suffered.

However, men of patrician rank could subtract two years from this and other minimum age requirements.

However, doing this for a town that only has two black males in this age group would be a breach of privacy because either of those persons, knowing his own income and the reported average, could determine the other man's income.

However, U. S. law permits " blended " whisky to contain up to 80 % un-aged grain neutral spirits ( with an age statement on the label that refers only to the " straight " part of the blend ), while Canadian law requires that all of the spirits in a Canadian whisky be aged for at least three years.

However, when Henry died of suspected typhoid ( or possibly porphyria ) at the age of 18 in 1612, two weeks before Charles's 12th birthday, Charles became heir apparent.

However, it should be noted that any individual, even a healthy adult in middle age, can experience a severe case, and each person's case should be measured by the loss of fluids, preferably in consultation with a doctor or other health worker.

However, Zoff's greatest feat came in the 1982 FIFA World Cup, where he captained Italy to victory in the tournament at the age of 40, making him the oldest ever winner of the World Cup.

However, some divers may safely dive in higher age categories to dive on higher platforms.

However, Hindu conceptions of time, like those found in other non-Western traditions, are cyclical in that one age may end but another will always begin.

However, he allowed the young Earl to spend upwards of £ 1, 000 per annum during the wardship: his tailor's bills alone, from the age of 12 to 16, totalled some £ 600.

However, at age 16, she left Tamalpais High School, a public high school, and joined a stock theater company.

However, the concept pre-dates the naming of these establishments, as evidence suggests commercial food preparation may have existed during the age of the city of Pompeii, and urban sales of prepared foods may have existed in China during the Song Dynasty.

However, they cannot own or carry one until the age of 18.

However, as males age, their skulls become heavier and more club-like, helping them become more dominant in combat.

However, Britain continued to hold Jews of " fighting age " and their families on Cyprus until March 1949.

However, from the medieval age, around 1100 AD, there still remains a few churches.

However it never achieved the commercial success its sponsors had hoped for and signalled canals as an dying mode of transport in an age dominated by railways, which were quicker and often cheaper.

However, reviewers criticized the age disparity between Spacey and Darin, noting that Spacey was too old to convincingly portray Darin, particularly during the early stages of the singer's life depicted in the film.

However, men can also experience a decrease in their libido as they age.

However, there may be an age at which becoming a fluent and natural user of a language is no longer possible.

However, despite their age, they are pretty vulnerable to terrestrial environment: water, salt, oxygen attack the meteorites as soon they reach the ground.