However, by formulating the problem as the solution of a Toeplitz matrix and using Levinson recursion, we can relatively quickly estimate a filter with the smallest mean squared error possible.

However, more sophisticated top-down parsers have been created by Frost, Hafiz, and Callaghan which do accommodate ambiguity and left recursion in polynomial time and which generate polynomial-sized representations of the potentially exponential number of parse trees.

However the recursion does not extend further because the G-function is not a Feistel network.

However, in functional programming languages, tail call elimination is often guaranteed by the language standard, and this guarantee allows using recursion, in particular tail recursion, in place of loops.

However, C is a poor choice for functional languages: it does not support tail recursion, accurate garbage collection or efficient exception handling.

However, since he developed the Minimalist Program, his latest version of theory of syntactic structure, Chomsky has reduced the elements of universal grammar which are in his opinion to be prewired in humans to just the principle of recursion, thus voiding most of the nativist endeavor.

However, the system is designed, ingeniously and hopefully, so that no one man could initiate a thermonuclear war.

However, there is always the possibility that chance will make demands the dancers find impossible to execute.

However, it is important to trace the philosophy of the French Revolution to its sources to understand the common democratic origin of individualism and socialism and the influence of the latter on the former.

However, it was not of innocence in general that I was speaking, but of perhaps the frailest and surely the least important side of it which is innocence in romantic love.

However, neither of these two cities is on the desired July 1 to June 30 fiscal year.

However, there is a more profound consideration to this proposed merger than profit and loss.

However, if their United States income is not subject to the withholding of tax on wages, their returns are due June 15, 1962, if they use a calendar year, or the 15th day of the 6th month after the close of their fiscal year.

However, its modern one-story layout is designed to increase our production capacity, permit more efficient manufacturing, and substantially reduce current repair and maintenance costs.

However, because this vulnerability is mutual, it is to the advantage of neither side to destroy the opponent's cities, at least so long as the opponent has nuclear weapons with which to effect reprisal.

However, there is a minimum of legislative restriction on boating.

However, it is essential that the various mathematical symbols used in the equations be understood so that the mathematical processes can be done properly and in their correct order.

However, the use of tripods is not allowed.

However, there is also much to be gained by making use of the abilities of the local people who are available and interested in recreation.

However, that is not all he has to do.

However one looks at it, therefore, I'd say that your horoscope for this autumn is the reverse of rosy.

However, a major factor in binding dirt is the attraction between surfaces that goes under the name of Van der Waal's forces.

However, the conversion from mass to size is unreliable, since many photographic meteors give evidence of a fluffy, loosely bound meteorite structure with densities as low as Af.

However, as a field measurement, it is open to question.

However, this artery is known to be a nutrient vessel with a distribution primarily to the proximal airways and supportive tissues of the lung.

However, if there is no additional complex of singular lines, the order of the image regulus of a pencil is precisely Af.

However, the factor of physical isolation is not a static situation.

However, any such suggestion accounts for only some of the difficulties in hearing tone, or in developing a realistic attitude about tone, but not for the analytic difficulties that occur even when tone is meticulously recorded.

However, there always is some limit to the numbers who will spend the time and effort to acquire training.

However, quasi-periodic ( i. e., bounded but not precisely repeating ) orbits following Lissajous-curve trajectories do exist in the n-body system.

However the first result is for positive linear functionals, not bounded linear functionals, so the two facts are not equivalent.

However, S may be bounded as subset of R < sup > n </ sup > with the lexicographical order, but not with respect to the Euclidean distance.

However, it is sufficient for evaluating the characteristic function numerically at positive as long as the upper limit in the sum above is kept bounded, n ≤ N, where

However, the orders of the elements of this group are not a priori bounded by a single constant.

However, the most famous of these was the central region of the Peninsula roughly bounded on the west by the mountains of the Hejaz and Yemen and to the east by the historical region of Bahrain and the north by Iraq and Syria.

However, for bounded normal operators orthogonal complement to a stable subspace may not be stable.

However, these restrictions apply only to cyclists boarding or alighting in the area bounded by Hook, Alton, Guildford, Reading and Dorking.

However much of the character of the old village remains ; to the north-east of Bradwell Road the area bounded by School Lane and Church Lane contains the Church and remnants of the original parish of Great Loughton.

However, this medium level at which the spectator can sympathize depends on what " passion " or emotion is being expressed ; with some emotions even the most justified expression of cannot be tolerated at a high level of fervor, at others sympathy in the spectator is not bounded by magnitude of expression even though the emotion is not as well justified.

However, this should not be confused with the notion of bounded completeness given below.

However, bounded completeness can be expressed in terms of other completeness conditions that are easily dualized ( see below ).

However, applying this law to surface S < sub > 2 </ sub >, which is bounded by exactly the same curve, but lies between the plates, provides:

However, this orientation does not prevail in one of the oldest and densest parts of the town, bounded by Elliott Bay to the west, Broadway to the east, Yesler Way to the south, and Denny Way to the north.

However, assuming the limit exists ( which it does for any bounded system, which fluid velocities certainly are ), there exists some such that integration from to is arbitrarily close to the average.

However, the converse fails: e. g. if P does not equal NP, knapsack with two constraints is not strongly NP-hard, but has no FPTAS even when the optimal objective is polynomially bounded.

However, in a bounded distributive lattice every element will have at most one complement.

However, by September, Day had arranged the use of a polo field just north of Central Park bounded by 5th & 6th Avenues and 110th & 112th Streets in Manhattan that became known as the Polo Grounds, the first professional baseball park in Manhattan.

However, the name is also loosely applied to a swathe of the West Midlands bounded by junction 8 of the M6 motorway in the west, the Birmingham-Walsall railway line ( part of the former Grand Junction Railway, opened in 1837, and including Hamstead railway station, formerly called Great Barr station ) and Perry Barr to the south, Kingstanding to the east, and the open countryside of Barr Beacon to the north.

However, a uniformly continuous function on a general metric space admits a concave modulus of continuity if and only if the ratios are uniformly bounded for all pairs bounded away from the diagonal of.

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, a uniformly continuous function on a general metric space admits a concave modulus of continuity if and only if the ratios are uniformly bounded for all pairs bounded away from the diagonal of ; this condition is certainly satisfied by any bounded uniformly continuous function ; hence in particular, by any continuous function on a compact metric space.