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condition and number
It asks a number of questions relating to the nature of destiny and the human condition.
The low number of abnormalities compares favourably with the health condition of a Majungasaurus population of which it in 2007 was established that 19 % of individuals showed bone pathologies.
The double-muscling phenotype is a heritable condition which results in the increased number of muscle fibers ( hyperplasia ) rather than the normal enlargement of individual muscle fibers ( hypertrophy ).
* Requiring the Houston Astros to move to the American League ( 2013 ), as a condition of the sale of the team to Jim Crane, resulting in an odd number of teams in each league and interleague play throughout the season
In the field of numerical analysis, the condition number of a function with respect to an argument measures the asymptotically worst case of how much the function can change in proportion to small changes in the argument.
A problem with a low condition number is said to be well-conditioned, while a problem with a high condition number is said to be ill-conditioned.
The condition number is a property of the problem.
As a general rule of thumb, if the condition number, then you may lose up to digits of accuracy on top of what would be lost to the numerical method due to loss of precision from arithmetic methods.
However, the condition number does not give the exact value of the maximum inaccuracy that may occur in the algorithm.
For example, the condition number associated with the linear equation
In particular, one should think of the condition number as being ( very roughly ) the rate at which the solution, x, will change with respect to a change in b. Thus, if the condition number is large, even a small error in b may cause a large error in x.
On the other hand, if the condition number is small then the error in x will not be much bigger than the error in b.
The condition number is defined more precisely to be the maximum ratio of the relative error in x divided by the relative error in b.
When the condition number is exactly one, then the algorithm may find an approximation of the solution with an arbitrary precision.
The condition number may also be infinite, in which case the algorithm will not reliably find a solution to the problem, not even a weak approximation of it ( and not even its order of magnitude ) with any reasonable and provable accuracy.
*: This number arises so often in numerical linear algebra that it is given a name, the condition number of a matrix.
*: The condition number computed with this norm is generally larger than the condition number computed with square-summable sequences, but it can be evaluated more easily ( and this is often the only measurable condition number, when the problem to solve involves a non-linear algebra, for example when approximating irrational and transcendental functions or numbers with numerical methods.

condition and ƒ
* Consider the set K of all functions ƒ: → satisfying the Lipschitz condition | ƒ ( x )ƒ ( y )| ≤ | x − y | for all x, y ∈.
A sufficient condition for recovering s ( t ) ( and therefore S ( ƒ )) from just these samples is that the non-zero portion of s ( t ) be confined to a known interval of duration P, which is the frequency domain dual of the Nyquist – Shannon sampling theorem.
A sufficient condition for perfect recovery is that the non-zero portion of S ( ƒ ) be confined to a known frequency interval of width 1 / T.
A necessary condition for existence of the integral is that ƒ must be locally integrable on
The Picard – Lindelöf theorem guarantees a unique solution on some interval containing t < sub > 0 </ sub > if ƒ is continuous on a region containing t < sub > 0 </ sub > and y < sub > 0 </ sub > and satifies the Lipschitz condition on the variable y.
In particular, if ƒ satisfies the condition above and has no zeros inside the unit circle then ƒ is constant ( this fact is also a consequence of the maximum principle for harmonic functions, applied to the harmonic function log (| ƒ ( z )|)).
For a set of m distinct irreducible polynomials ƒ < sub > 1 </ sub >, ..., ƒ < sub > m </ sub > with integer coefficients, an obvious necessary condition for the polynomials to generate prime values is that they satisfy Bunyakovsky's property, that there does not exist a prime number p that divides their product f ( n ) for every positive integer n. For, if not, then p can be the only prime among the values of the polynomials.
Thus, we have the condition that ƒ is a ( Hurwitz ) stable polynomial if and only if p − q = n ( the proof is given below ).
Using the Routh – Hurwitz theorem, we can replace the condition on p and q by a condition on the generalized Sturm chain, which will give in turn a condition on the coefficients of ƒ.
More generally, the continuous differentiability of ƒ can be replaced by the weaker condition that ƒ be in the Sobolev space W < sup > 1, 2 </ sup >( D ) of functions whose first-order distributional derivatives are in L < sup > 2 </ sup >( D ).

condition and at
He stood looking down at her for a moment, wondering what could have reduced her to this condition.
What factors condition the degree of realization at various times and places??
Seeing this, his colleague at the next desk gave a short, contemptuous laugh, pushed forward his own ash tray, innocent of a single butt, thumped his chest to show his excellent condition, and looked proud.
But things were worked out in the family and late in August he wrote Miss McCrady an explanatory letter in which he told her that matters at home had been in an unsettled condition after Papa's death and he had not known whether he would stay at home with Mama, accept the Northwestern job, or return to Harvard.
With them, you can carry steaks and hamburgers at refrigerator temperatures, and also get your frozen food for stews and chowders, to the marina or picnic, in A-1 condition.
When the Korean war began, on June 25, 1950, the anniversary of the day Custer had gone down fighting at the Little Big Horn and the day the regiment had assaulted the beachhead of Leyte during World War 2,, the 7th Cavalry was not in the best fighting condition.
Now time is also the concern of the fictional narrative, which is, at its simplest, the story of an action with, usually, a beginning, a middle, and an end -- elements which demand time as the first condition for their existence.
They apologized for the condition, including dirt and flies, and I was a little at a loss to know what to say.
The gala is the Thrift Shop's annual bundle party and, as all Thrift Shop friends know, that means the admission is a bundle of used clothing in good condition, contributions of household equipment, bric-a-brac and such to stock the shelves at the shop's headquarters at 1213 Walnut St..
A 12-year-old girl, Susan Elaine Smith, 9329 NE Schuyler St. was in serious condition Friday at Bess Kaiser Hospital, victim of a bicycle-auto collision in the Gateway Shopping Center, parking area, Deputy Sheriff W. H. Forsyth reported.
A 62-year-old Smithfield man, Lester E. Stone of 19 Beverly Circle, was in satisfactory condition last night at Our Lady of Fatima Hospital, North Providence, with injuries suffered when a car he was driving struck a utility pole on Woonasquatucket Avenue in North Providence near Stevens Street.
When we say, then, that today, in our situation, the demand for demythologization must be accepted without condition, we are simply saying that at least this much of the liberal tradition is an enduring achievement.
Poirot dies from complications of a heart condition at the end of Curtain: Poirot's Last Case.
As its condition is fragile and it is a prized exhibit at the MCC Cricket Museum, the MCC were reluctant to agree.
Abner was indignant at the rebuke, and immediately opened negotiations with David, who welcomed him on the condition that his wife Michal should be restored to him.
" The organ of observation and the observed thought process are then identical, so that the condition thus arrived at is simultaneously one of perception through thinking and one of thought through perception.
Rumours of the time made Arnulf's condition to be a result of poisoning at the hand of Ageltrude.
# An asset with a known price in the future does not today trade at its future price discounted at the risk-free interest rate ( or, the asset does not have negligible costs of storage ; as such, for example, this condition holds for grain but not for securities ).
* A subtly different and stronger condition than " containing no infinite ascending / descending chains " is " contains no arbitrarily long ascending / descending chains ( optionally, ' based at a given element ')".
Once this condition is met, it is sufficient that local bonding at the specimen surface is capable of being overcome by the field, allowing for evaporation of an atom from the surface to which it is otherwise bonded.
The set started selling on eBay at very high prices, sometimes over $ 300 USD ; As well as fetching over $ 1000 USD in ' New ' condition on websites such as " Amazon. com ".
One condition placed on the Bauhaus in this new political environment was the exhibition of work undertaken at the school.

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