He proposes that if both parties were to stick by the original agreed-upon arrangement and morals outlined by the contract that they both would experience an optimal result.

A large number of algorithms proposed for solving non-convex problems – including the majority of commercially available solvers – are not capable of making a distinction between local optimal solutions and rigorous optimal solutions, and will treat the former as actual solutions to the original problem.

Moreover, by the envelope theorem the optimal value of a Lagrange multiplier has an interpretation as the marginal effect of the corresponding constraint constant upon the optimal attainable value of the original objective function: if we denote values at the optimum with an asterisk, then it can be shown that

The original Quake did not address the fact that Internet connections have generally much higher latency and packet loss compared to a LAN connection, and over some connections, performance of this model did not provide an optimal experience.

When Hewlett – Packard introduced the original HP-35 pocket scientific calculator, its numerical accuracy, in evaluating transcendental functions, for some arguments, was not optimal.

The Theory of Consistent Approximations provides conditions under which solutions to a series of increasingly accurate discretized optimal control problem converge to the solution of the original, continuous-time problem.

The original sequence length is shortened to the effective length to compensate for the edge effect ( an alignment start near the end of one of the query or database sequence is likely not to have enough sequence to build an optimal alignment ).

Noam Chomsky has described Reinhart's contributions to the field of linguistics as " original and highly influential ," particularly regarding " syntactic structure and operations, referential dependence, principles of lexical semantics and their implications for syntactic organization, unified approaches to cross-linguistic semantic interpretation of complex structures that appear superficially to vary widely, the theory of stress and intonation, efficient parsing systems, the interaction of internal computations with thought and sensorimotor systems, optimal design as a core principle of language, and much else.

In Canny's original paper, the derivation of the optimal filter led to a Finite Impulse Response filter, which can be slow to compute in the spatial domain if the amount of smoothing required is important ( the filter will have a large spatial support in that case ).

According to the translators, the primary goal of an optimal equivalence translation is " to convey a sense of the original text with as much clarity as possible ".

* Michael Goldberg demonstrates that none of the original Malfatti circles are ever optimal.

Optimal erasure codes have the property that any k out of the n code word symbols are sufficient to recover the original message ( i. e., they have optimal reception efficiency ).

In both the original and the preconditioned conjugate gradient methods one only needs to always set in order to turn them into locally optimal, using the line search, steepest descent methods.

Proof: If we have a description in, we can convert it into a description in our optimal language by first describing as a computer program ( part 1 ), and then using the original description as input to that program ( part 2 ).

In Beck's original argument, C is 100 and K is an unspecified constant ; it is not known what the optimal values of C and K are.

The optimal value of the objective function will then be the negative of the original optimal value, but the values of the variables themselves will be correct.

In a 2010 post to the Stardot forum, Harte explained at length his reasons for creating the format: being the first to address emulation of the Acorn Electron and its primary medium, tape, Harte wanted a fine-grained and technically optimal representation of media, compared to existing ad-hoc formats ; and to package the multiple media elements of a software release into a single file, so that downloading a UEF is " more like obtaining the original product ".

Note the fact that the set of points mapped into any hyperplane can be quite convoluted as a result, allowing much more complex discrimination between sets which are not convex at all in the original space.

The transformation may be nonlinear and the transformed space high dimensional ; thus though the classifier is a hyperplane in the high-dimensional feature space, it may be nonlinear in the original input space.

He also was the original author of rzip, which uses a similar algorithm to rsync.

Jürgen Schmidhuber ( 2000 ) constructed a limit-computable " Super Omega " which in a sense is much more random than the original limit-computable Omega, as one cannot significantly compress the Super Omega by any enumerating non-halting algorithm.

Using to denote the size of the original grammar, the size blow-up in the worst case may range from to, depending on the transformation algorithm used.

( Earley's original algorithm included a look-ahead in the state ; later research showed this to have little practical effect on the parsing efficiency, and it has subsequently been dropped from most implementations.

* Parse :: Earley A Perl module that implements Jay Earley's original algorithm.

This generalized Euclidean algorithm can be put to many of the same uses as Euclid's original algorithm in the ring of integers: in any Euclidean domain, one can apply the Euclidean algorithm to compute the greatest common divisor of any two elements.

The original algorithm was described only for natural numbers and geometric lengths ( real numbers ), but the algorithm was generalized in the 19th century to other types of numbers, such as Gaussian integers and polynomials in one variable.

By reversing the steps in the Euclidean algorithm, the GCD can be expressed as a sum of the two original numbers each multiplied by a positive or negative integer, e. g., 21 = × 105 + × 252.

The first part of the algorithm computes an LU decomposition, while the second part writes the original matrix as the product of a uniquely determined invertible matrix and a uniquely determined reduced row-echelon matrix.

* Suppose that there is a compression algorithm that transforms every file into a distinct file which is no longer than the original file, and that at least one file will be compressed into something that is shorter than itself.

In order for a compression algorithm to be considered lossless, there needs to exist a reverse mapping from compressed bit sequences to original bit sequences ; that is to say, the compression method would need to encapsulate a bijection between " plain " and " compressed " bit sequences.

For instance, in the original version, the RSA algorithm was used to encrypt session keys ; RSA's security depends upon the one-way function nature of mathematical integer factoring.

The original author later produced a new version of the algorithm, which he named Double Metaphone.

Contrary to the original algorithm whose application is limited to English only, this version takes into account spelling peculiarities of a number of other languages.

It should be noted, however, that this table does not constitute a complete description of the original Metaphone algorithm, and the algorithm cannot be coded correctly from it.

It makes a number of fundamental design improvements over the original Metaphone algorithm.

This algorithm is guaranteed to converge to an image, and it should appear similar to the original image.

In the original algorithm, this was a burst of white noise, but it can also include any wideband signal, such as a rapid sine wave chirp or frequency sweep, or a single cycle of a sawtooth wave or square wave.

In the original algorithm, the filter consisted of averaging two adjacent samples, a particularly cheap filter that can be done without a multiplier ( just shift and add operations ).

The original algorithm used equal weighting on two adjacent samples, as this can be achieved without multiplication hardware, allowing extremely cheap implementations.

Dijkstra's original algorithm does not use a min-priority queue and runs in.

A paper published at the same time proposed that the original three families should be retained as subfamilies within Xanthorrhoeaceae sensu lato.

A paper published at the same time as the 2009 classification proposed that the original three families should be retained as subfamilies within Amaryllidaceae sensu lato.

A less confrontational vision of scientific discovery is proposed by Adloff He suggests that hindsight criticism of the early publications should be mitigated by the nascent state of radiochemistry, highlights the prudence of Debierne's claims in the original papers, and notes that nobody can contend that Debierne's substance did not contain actinium.

This request was immediately approved in a meeting presided by Carlos Bowers, who had proposed the name " Alumni " to the original football team 50 years before.

Early studies into Scandinavian sources / analogues proposed that Beowulf was a translation of an original Scandinavian work, but this idea has been discarded.

Broadway then runs past the proposed uptown campus of Columbia University, and the main campus of CUNY — City College ; the beautiful Gothic buildings of the original City College campus are out of sight, a block to the east.

The technique used for his original estimate, possibly as many as 12, 000, 000 species, was criticized, and was later revised, with estimates of 850, 000 – 4, 000, 000 species proposed.

Inspired by the Enlightenment, the original version of the Declaration was discussed by the representatives on the basis of a 24 article draft proposed by the sixth bureau ,< ref > The original draft is an annex to the report of the August 12th report ( Archives parlementaires, 1, sup > e </ sup > série, tome VIII, débats du 12 août 1789, p. 431 ).</ ref >< ref > Archives parlementaires, 1 < sup > e </ sup > série, tome VIII, débats du 19 août 1789, p. 459 .</ ref > led by Jérôme Champion de Cicé.

Although several versions of many-worlds have been proposed since Hugh Everett's original work, they all contain one key idea: the equations of physics that model the time evolution of systems without embedded observers are sufficient for modelling systems which do contain observers ; in particular there is no observation-triggered wave function collapse which the Copenhagen interpretation proposes.

David Usher, a British Unitarian minister of Australian origin who had proposed the original motion eight years previously, became the ICUU's first President.

Y Gododdin is known only from a 13th-century manuscript, so it is impossible to determine whether this passage is original or a later interpolation, but John Koch's view that the passage dates from a 7th-century or earlier version is regarded as unproven ; 9th-or 10th-century dates are often proposed for it.

Given Poseidon's connection with horses as well as the sea, and the landlocked situation of the likely Indo-European homeland, Nobuo Komita has proposed that Poseidon was originally an aristocratic Indo-European horse-god who was then assimilated to Near Eastern aquatic deities when the basis of the Greek livelihood shifted from the land to the sea, or a god of fresh waters who was assigned a secondary role as god of the sea, where he overwhelmed the original Aegean sea deities such as Proteus and Nereus.

When the changes accumulate, the forecasted result may not justify the original proposed investment in the project.

" In 2007, Haraldur Bernharðsson proposed that the original form of the second word in the compound is røk, leading to a Proto-Germanic reconstruction of * rekwa and opening up other semantic possibilities.

Another well-known theory, first proposed by the historian L. V. D. Owen in 1936 and more recently floated by J. C. Holt and others, is that the original Robin Hood might be identified with an outlawed Robert Hood, or Hod, or Hobbehod, all apparently the same man, referred to in nine successive Yorkshire Pipe Rolls between 1226 and 1234.

Following Einstein's original presentation of special relativity in 1905, many different sets of postulates have been proposed in various alternative derivations.

The Enterprise-D's end also appeared — the saucer crash had first been proposed as the cliffhanger for Moore's original seventh-season finale " All Good Things ...", which eventually became the series finale.

This feature was originally proposed for the original series ( see, e. g., Gerrold, The World of Star Trek ) but was never used.

The original colonization group of Rihannsu came to this system after they fled their homeworld in rebellion against the philosophy of peace and logic proposed by Surak.

After a successful signature gathering, the federal council may create a counterproposal to the proposed amendment and put it to vote on the same day as the original proposal.

In 1997, The Federal Electronic and Information Technology Accessibility and Compliance Act was proposed in the U. S. legislature to correct the shortcomings of the original section 508 ; the original Section 508 had turned out to be mostly ineffective, in part due to the lack of enforcement mechanisms.

In order to explain the common features shared by Sanskrit and other Indo-European languages, many scholars have proposed migration hypotheses asserting that the original speakers of what became Sanskrit arrived in what is now India and Pakistan from the north-west some time during the early second millennium BCE.

After considering the problem, two students at Caltech ( where Thorne taught ), Fernando Echeverria and Gunnar Klinkhammer, were able to find a solution beginning with the original billiard ball trajectory proposed by Polchinski which managed to avoid any inconsistencies.