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Page "Analysis of algorithms" ¶ 12
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Since and algorithms
Since the proving of the theorem, efficient algorithms have been found for 4-coloring maps requiring only O ( n < sup > 2 </ sup >) time, where n is the number of vertices.
Since 2002 he has co-authored several papers on evolutionary algorithms.
Since reverberation is essentially caused by a very large number of echoes, simple reverberation algorithms use multiple feedback delay circuits to create a large, decaying series of echoes.
Since FHT and real-input FFT algorithms have similar computational structures, neither appears to have a substantial a priori speed advantage ( Popovic and Sevic, 1994 ).
Since the mathematical problems stemming from nontrivial fleet scheduling easily become computationally unsolvable, the PONTIFEX idea consisted in a seamless merge of algorithms and heuristic knowledge embedded in rules.
Since N – 1 is composite, this convolution can be performed directly via the convolution theorem and more conventional FFT algorithms.
Since the work of Harary and Ross, many others have devised algorithms for various versions of the clique problem.
Since log < sub > 2 </ sub > n = ( 1 / log < sub > k </ sub > 2 ) log < sub > k </ sub > n, where k can be any number greater than 1, algorithms that run in O ( log < sub > 2 </ sub > n ) time can also be said to run in, say, O ( log < sub > 13 </ sub > n ) time.
Since the 1990s, evolutionary computation has largely become swarm-based computation, and nature-inspired algorithms are becoming an increasingly significant part.
Since the original convolution discards data, some algorithms use additional data acquired at nearby focal points to make up some of the lost information.
Since both algorithms it uses are comparison sorts, it too is a comparison sort.
Since analytics can require extensive computation ( See Big Data ), the algorithms and software used for analytics harness the most current methods in computer science, statistics, and mathematics.
Since its search algorithms and code are open it is to ensure that no search results are manipulated by either mozDex as a company or anyone else.
Since consumer electronics equipment is typically far cheaper, has considerably less processing power and uses simpler algorithms compared to professional deinterlacing equipment, the quality of deinterlacing may vary broadly and typical results are often poor even on high-end equipment.
; Intuitive: Since they are based on physical analogies of common objects, like springs, the behavior of the algorithms is relatively easy to predict and understand.
Since any of these properties can change without the computer's knowledge, as a result of user activity, various search algorithms are used to find the most plausible target.
Since then, some basic assumptions made by the traditional page replacement algorithms were invalidated, resulting in a revival of research.
Since the development of digital signal processing ( DSP ), there have been many pieces of equipment and computer software designed to shift the bulk of the work of system calibration from human auditory interpretation to software algorithms that run on microprocessors.
Since then, pulse oximetry manufacturers have developed new algorithms to reduce some false alarms during motion such as extending averaging times or freezing values on the screen, but they do not claim to measure changing conditions during motion and low perfusion.
Since December 2010, Kepler mission data has been used for the Zooniverse project " Planethunters. org ", which allows volunteers to look for transit events in the light curves of Kepler images to identify planets that computer algorithms might miss.
Since the SGS is critical for many algorithms in computational group theory, computer algebra systems typically rely on the Schreier – Sims algorithm for efficient calculations in groups.
Since public-key algorithms tend to be much slower than symmetric-key algorithms, modern systems such as TLS and SSH use a combination of the two: one party receives the other's public key, and encrypts a small piece of data ( either a symmetric key or some data used to generate it ).

Since and are
Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Since we can neither undo nor redo the past, we are limited to the events of today and tomorrow.
Since the recognition of Israel as a nation state, claims are made in many cases which identify the claimant as a member of the new body politic.
Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.
Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.
Since broadcast frequencies are very limited in number, these objectives are to some extent inconsistent in that not all of them can be fully realized, and to the extent that each is realized, there is a corresponding reduction of the possibilities for fullest achievement of the others.
Since the provision of skywave service requires adequate freedom from interference, only class 1, stations are capable of rendering skywave service.
Since the sides are also covered up to the spray rails, they are also rough-sanded in that area.
Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.
Since there are almost no schools in the country offering graduate work in interior design this rule cannot at present be observed.
Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.
Since practical washing procedures are both lengthy and expensive, a number of laboratory tests have been developed for the numerical evaluation of detergents.
Since the circulating thyroid hormones are the amino acids thyroxine and tri-iodothyronine ( cf. Section C ), it is clear that some mechanism must exist in the thyroid gland for their release from proteins before secretion.
Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.
Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).
Since D and D' are both diagonalizable and they commute, they are simultaneously diagonalizable, and Af is diagonalizable.
Since N and N' are both nilpotent and they commute, the operator Af is nilpotent ; ;
Since Af are linearly independent functions and the exponential function has no zeros, these R functions Af, form a basis for the space of solutions.
Since the choice is by lot each week, the outcomes of different trials are independent.
Since two curves of symbol Af on Q intersect in Af points, it follows that there are Af lines of Af which are tangent to Aj.

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