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These and algorithms
These estimates provide an insight into reasonable directions of search for efficient algorithms.
These algorithms almost all rely on psychoacoustics to eliminate less audible or meaningful sounds, thereby reducing the space required to store or transmit them.
These algorithms need only a few multiplications and additions to calculate each vector.
These can be implemented as analog circuits ( for instance, using a Sallen Key filter topology, a type of active filter ), or as algorithms in digital signal processing systems.
These brute-force algorithms are computationally manageable for n = 8, but would be intractable for problems of n ≥ 20, as 20!
These algorithms model diffuse inter-reflection which is a very important part of global illumination ; however most of these ( excluding radiosity ) also model specular reflection, which makes them more accurate algorithms to solve the lighting equation and provide a more realistically illuminated scene.
These algorithms are numerical approximations to the rendering equation.
These macros are similar to the algorithms in pseudocode typically used in teaching computer science.
These same interpolation formulas nevertheless continue to be used as part of the software algorithms for solving differential equations.
These algorithms take as input a large set of " features " that are generated from the input data.
These algorithms are not practicable for hand written computation, but are available in any Computer algebra system ( see Berlekamp's algorithm for the case in which the coefficients belong to a finite field or the Berlekamp – Zassenhaus algorithm when working over the rational numbers ).
These leaves need not be explicit in computer memory — a null child pointer can encode the fact that this child is a leaf — but it simplifies some algorithms for operating on red – black trees if the leaves really are explicit nodes.
These algorithms first convert the SMILES to an internal representation of the molecular structure and do not simply manipulate strings as is sometimes thought.
These techniques are superficially comparable to weather models that show hurricane storm tracks ; each of several algorithms independently models a complex system ( the weather, in this case ) somewhat differently from each of its sister weather algorithms, and the average of all the algorithms ' output is taken to be the most likely " storm track ".
These algorithms do not work if out-of-order execution is utilized on the platform that executes them.
These asymmetric key algorithms allow one key to be made public while retaining the private key in only one location.
These algorithms use data compression to achieve higher throughput.
These algorithms arrange all particles in a tree, a quadtree in the two-dimensional case and an octree in the three-dimensional case.
These two algorithms form the basis for many variations including LZW, LZSS, LZMA and others.
These applications typically employ complex algorithms and data structures and require high performance.
These algorithms usually come in the form of a flowchart, incorporating ' yes / no ' type decisions, making the algorithm easier to memorize.

These and compute
These functions can be calculated by rote computation, but they are not enough to make a universal computer, because the instructions which compute them do not allow for an infinite loop.
These turn out to be fairly easy to compute
These methods are most suited to calculation by a computer and tend to be used when it is infeasible to compute an exact result with a deterministic algorithm.
These specialized cells are called double-opponent cells because they compute both color opponency and spatial opponency.
These algorithms are often employed to compute ( difficult ) lexicographic Gröbner bases from ( easier ) total degree Gröbner bases.
These documents provide detailed information on the methodologies used to create the energy performance ratings including details on rating objectives, regression techniques, and the steps applied to compute a rating.
These are called generalised homology theories ; they carry much richer information than ordinary homology, but are often harder to compute.
These systems directly compute a gamma-compressed luma as a linear combination of gamma-compressed primary intensities, rather than use linearization via gamma expansion and compression.
These attachments can be used to compute the slot value, or they can be triggers used to make consistency checking or updates of other slots.
These reasons could not take into account factors used to compute the standard range for the sentence.
These algorithms compute wavefront images from conventional brightfield images at different focal planes without the need for specialised wavefront optics.
These matrices arise naturally when using Dodgson condensation to compute a determinant.
These concepts are used in the kinetic theory of gases to compute transport coefficients such as the viscosity.
These moments of force may then be used to compute the amount of mechanical work performed by that moment of force.
These units were employed to compute payrolls, travel vouchers, etc.

These and estimate
These pleas for independence and referendum augured poorly for the US, Britain and Ethiopia, as a confidential American estimate of Independence Party support amounted to 75 % of Eritrea.
These are used to estimate the amount of work involved in a translation job.
These confrontations all resulted in Bábí massacres ; Bahá ' í authors give an estimate of 20, 000 Bábís killed from 1844 to present, with most of the deaths occurring during the first 20 years.
These subjects tended to grow more confident with each successive draw — whether they initially thought the basket with 60 % black balls or the one with 60 % red balls was the more likely source, their estimate of the probability increased.
The median income for a household in the city is $ 71, 597, and the median income for a family is $ 94, 587 ( These figures had risen to $ 76, 883 and $ 105, 763 respectively as of a 2007 estimate.
( These figures had risen to $ 72, 600 and $ 85, 361 respectively, as of a 2007 estimate.
These are the official findings of the Institute of National Remembrance, " confirmed by the number of victims in the two graves, according to the estimate of the archeological and anthropological team participating in the exhumation ," wrote prosecutor Radosław J. Ignatiew, who headed an investigation in 2000-2003 ordered by the Polish government.
The median income for an average household in the CDP was $ 62, 810, and the median income for a family was $ 88, 459 ( These figures had risen to $ 75, 736 and $ 101, 903 respectively as of a 2007 estimate ).
The median income for a household in the township was $ 81, 541, and the median income for a family was $ 101, 998 ( These figures had risen to $ 98, 054 and $ 123, 509 respectively as of a 2007 estimate ).
The median income for a household in the city was $ 72, 010, and the median income for a family was $ 83, 252 ( These figures had risen to $ 94, 844 and $ 108, 821 respectively as of a 2007 estimate ).
The median income for a household in the city was $ 90, 733, and the median income for a family was $ 101, 793 ( These figures had risen to $ 97, 797 and $ 113, 265, respectively, as of a 2007 estimate ).
These algorithms receive as input the red / green / blue values of each pixel of the image and attempt to estimate the reflectances of each point.
These measurements are consistent with each other, and their weighted average yields a distance estimate of.
These rates are sky-high, with an estimate of dowry rates for a bachelor IAS Officer ( Indian Administrative Services ) being as high as Rs 50 Lac to Rs 5 Crore ( up to USD 1 Million ).
These models are called relaxed molecular clocks because they represent an intermediate position between the ' strict ' molecular clock hypothesis and Felsenstein's many-rates model and are made possible through MCMC techniques that explore a weighted range of tree topologies and simultaneously estimate parameters of the chosen substitution model.
These implicit valuations ( utilities or part-worths ) can be used to create market models that estimate market share, revenue and even profitability of new designs.
The median income for a household in the township was $ 103, 897, and the median income for a family was $ 123, 381 ( These figures had risen to $ 119, 233 and $ 144, 033 as of a 2007 estimate ).
These data help estimate the resources a government can potentially access to repay its debt.
These territorial displays can sometimes be elicited by similar hand clapping, and can be used to detect male territories and estimate their density.
These would be only the male heads of families ( except for slaves who may have been counted as individuals ) and the total has to be multiplied by an arbitrary figure ( 4 or 5 is usual ) for an estimate of the total including women and children.
These effect sizes estimate the amount of the variance within an experiment that is " explained " or " accounted for " by the experiment's model.
These numbers for Ejersa Goro are an estimate, because the town was not counted.
These numbers will enable scientists to estimate the spatial distribution of dark matter in the Local Group of galaxies, and by extension throughout the universe.
These help drivers entering the freeway to estimate how much time they have to match the speed of through traffic, and warn drivers improperly exiting the freeway right down the middle of a gore that they are about to run out of road.

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