[permalink] [id link]
Given a condition number, the relative error of compensated summation is effectively independent of n. In principle, there is the O ( nε < sup > 2 </ sup >) that grows linearly with n, but in practice this term is effectively zero: since the final result is rounded to a precision ε, the nε < sup > 2 </ sup > term rounds to zero unless n is roughly 1 / ε or larger.
from
Wikipedia
Some Related Sentences
Given and condition
Given the distance from the main body, our problem is to determine the form of the surface that satisfies the equipotential condition.
Given: that Race B, in its present condition, does not develop fast enough to suit Race A.
Given human nature, the variability of human desires, and need for scarce resources to fulfill those desires, the state of nature, as Hobbes calls this anarchic condition, must be a war of all against all.
Given that anencephaly is a fatal condition, parents receive the option of abortion either in the second or third trimester of pregnancy, depending on the abortion laws in the state.
Although the German Command expected another Allied landing in the Mediterranean, the advancing Red Army and the Allied Landing at the Normandy required all German resources, so little was done to improve the condition of Army Group G. Given the advancing Allied forces in northern France, the German Command deemed a realistic defense in the South impossible.
The specific problems are: Given two, three or four points on a straight line, find another point on it such that its distances from the given points satisfy the condition that the square on one or the rectangle contained by two has a given ratio either ( 1 ) to the square on the remaining one or the rectangle contained by the remaining two or ( 2 ) to the rectangle contained by the remaining one and another given straight line.
Given a covariant derivative ∇, the parallel transport along a curve γ is obtained by integrating the condition.
Given a set with three binary operations and, and two distinguished elements 0 and 1, then is a Heyting algebra for these operations ( and the relation defined by the condition that when ) if and only if the following conditions hold for any elements and of:
Given the initial condition
Given that we have been on " yellow alert " for over two and a half years now, we cannot consider this a particularly exceptional condition that warrants curtailment of constitutional rights.
Given the condition precedent of the Agreement for Sale a group of residents negotiated to purchase the townsite spearheaded by one of the prominent residents, Laurier LaPierre and became active in pushing for a clean up of the pollution.
Given her husband's weak physical and mental condition, she exerted a strong influence on imperial life, and was an active patron of Japanese Red Cross Society.
Given the condition of Ilam Cross, the following details of the faces are included for archive purposes.
Given a method for establishing the satisfaction ( or not ) of every atomic sentence of the form A (... x < sub > k </ sub >...), the usual rules for truth-functional connectives and quantifiers yield a definition for the satisfaction condition of all sentences of the object language.
Given this and the subsequent emphasis on building strength at the Gazala position for an attack ( which had been forestalled by the Axis offensive ) it is likely that the defences at Tobruk had not been maintained in first rate condition.
Given Planck's quantization rule for the harmonic oscillator, either condition determines the correct classical quantity to quantize in a general system up to an additive constant.
Given the business conditions at the time, this turned out to be an impossible condition.
Given an initial condition in which wealth is unevenly distributed, several economic mechanisms for wealth condensation have been proposed:
Given that it was thus never protected by being buried during its nearly nineteen centuries of existence, the arch entered the modern era in extraordinary condition.
Given their mechanisms, it is arguably harder to compensate for ever-changing wind conditions when using a machine rest ; the usual technique is to wait for what seems to be an identical condition rather than holding for the wind.
Given the poor condition of municipal roads, travel times may exceed 8 hours from one side to the other.
Given foreign exchange market equilibrium, the interest rate parity condition implies that the expected return on domestic assets will equal the exchange rate-adjusted expected return on foreign currency assets.
Given two models and represented this way, the condition is equivalent to setting to true every variable that sets to true.
Given and number
* Given an algebraic number, there is a unique monic polynomial ( with rational coefficients ) of least degree that has the number as a root.
Given the large number of U. S. military personnel and their dependents residing in Europe, it was expected that over 7 % of donors would be deferred due to the policy.
Given that a natural language such as English contains, at any given time, a finite number of words, any comprehensive list of definitions must either be circular or rely upon primitive notions.
Given is each element's name, atomic number, year of first report, name of the discoverer, and some notes related to the discovery.
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.
Given infinite space, there would, in fact, be an infinite number of Hubble volumes identical to ours in the universe.
Given the increasing number of scientists who study the nervous system, several prominent neuroscience organizations have been formed to provide a forum to all neuroscientists and educators.
: Given any positive number ε, there is a sequence
Given the number of homes, it seems likely that no more than fifty people lived in Skara Brae at any given time.
Given metric spaces ( X, d < sub > 1 </ sub >) and ( Y, d < sub > 2 </ sub >), a function f: X → Y is called uniformly continuous if for every real number ε > 0 there exists δ > 0 such that for every x, y ∈ X with d < sub > 1 </ sub >( x, y ) < δ, we have that d < sub > 2 </ sub >( f ( x ), f ( y )) < ε.
Given that detecting a price cut becomes harder as the number of firms increases, the bigger are the gains from price cutting.
Given the ( period, cash flow ) pairs (, ) where is the total number of periods, the net present value is given by:
* Aggregate signature-a signature scheme that supports aggregation: Given n signatures on n messages from n users, it is possible to aggregate all these signatures into a single signature whose size is constant in the number of users.
Given the ( period, cash flow ) pairs (, ) where is a positive integer, the total number of periods, and the net present value, the internal rate of return is given by in:
( Please note that Japan has a guideline of a limit of 1 % of GDP on defense spending, however, Japan defines a number of activities as non-defense spending ) Given these circumstances, some have viewed Article 9 as increasingly irrelevant.
Given the rules of any two-person game with a finite number of positions, one can always trivially construct a minimax algorithm that would exhaustively traverse the game tree.
Given that the Masoretes would not alter the sacred consonantal text, the Kethiv-Qere notes were a way of " correcting " or commenting on the text for any number of reasons ( grammatical, theological, aesthetic, etc.
Given the number of unpleasant, harmful or even fatal consequences of coming out in world societies, it is questionable to call being closeted a choice.
Given any input, GEN generates an infinite number of candidates, or possible realizations of that input.
Given the number of times tea is poured in a meal, the tapping is a timesaver in loud restaurants or lively company, as an individual being served might be speaking to someone else or have food in their mouth.
Given an input consisting of any number of bytes, it produces as output a single byte that is strongly dependent on every byte of the input.
Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers.
Given the fact that the Lakeport area has an economy that is based somewhat on agricultural activities occurring in the Big Valley and Scotts Valley area which involve the growing and harvesting of food and nut crops as well as the increasing wine industry, there are a significant number of transient and seasonal farm workers.
0.890 seconds.