To keep the computational load reasonable, the mappings used by SVM schemes are designed to ensure that dot products may be computed easily in terms of the variables in the original space, by defining them in terms of a kernel function selected to suit the problem.

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.

Although he did not attend any celebrated schools or universities, he was a master of Greek and Hebrew and could read the Bible in the original.

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

Laudably enough, it is offering classics and off-beat imports, but last week only one U.S. original was on the boards, Robert D. Hock's stunning Civil War work, Borak.

Stowey Rummel was internationally famous, a crafter of a genuine Americana in foreign eyes, an original designer whose inventive childishness with steel and concrete was made even more believably sincere by his personality.

He claims that he was denied due process of law in violation of the Fifth Amendment, because ( 1 ) at a hearing before a hearing officer of the Department of Justice, he was not permitted to rebut statements attributed to him by the local board, and ( 2 ) at the trial, he was denied the right to have the hearing officer's report and the original report of the Federal Bureau of Investigation as to his claim.

Petitioner was not entitled, either in the administrative hearing at the Department of Justice or at his trial, to inspect the original report of the Federal Bureau of Investigation, since he was furnished a resume of it, did not challenge its accuracy, and showed no particular need for the original report.

He says that he was not permitted to rebut before the hearing officer statements attributed to him by the local board, and, further, that he was denied at trial the right to have the Department of Justice hearing officer's report and the original report of the Federal Bureau of Investigation as to his claim -- all in violation of the Fifth Amendment.

That Prokofieff's harmonies and forms sometimes seem professionally routine to our ears, may or may not indicate that he was less of an `` original '' than we prefer to believe.

This original capsule contained a battery and a transistor oscillator and was about 1 cm. in diameter.

when the insoluble fraction was suspended in a volume of saline equal to that of the original serum sample, no complete antibody activity could be detected.

Approximately ten days after the questionnaire was mailed, a follow-up airmail postcard was sent to each of the original names.

In parts a repeated sponging was needed, but everywhere we found that water alone was enough to restore the original brightness.

Down in Concord, New Hampshire, was a flier in the right place at the right time: Robert S. Fogg, a native New Englander, had been a World War 1, flying instructor, barnstormer, and one of the original planners of the Concord Airport.

`` To be creative is to have the ability to cause to exist -- to produce where nothing was before -- to bring forth an original production of human intelligence or power ''.

What remained lacked the original verve but it was at least dignified, as befitting the tragic circumstances.

Baudot invented his original code during 1870 and patented it during 1874.

In fact, cash registers were invented for the purpose of eliminating employee theft or embezzlement ; the original name was Incorruptible Cashier.

Reiter claimed to have invented the overhead spiral pass while playing professional football as a player-coach for Connie Mack's Philadelphia Athletics of the original National Football League ( 1902 ).

The original nori was formed as a paste, and the sheet form was invented in Asakusa, Edo ( contemporary Tokyo ), in the Edo period through the method of Japanese paper-making.

Common garnishes for an Old Fashioned include an orange slice or a maraschino cherry, although these modifications came around 1930, some time after the original recipe was invented.

A 2002 press release about the origins of the modern game makes no mention of the original version: Othello was invented by Japanese game enthusiast, Goro Hasegawa in 1971.

The original structure was invented in 1972 by Rudolf Bayer and named " symmetric binary B-tree ," but acquired its modern name in a paper in 1978 by Leonidas J. Guibas and Robert Sedgewick.

It is unknown who invented the original horseshoe.

True BASIC is a variant of the BASIC programming language descended from Dartmouth BASIC — the original BASIC — invented by college professors John G. Kemeny and Thomas E. Kurtz.

Tokamaks were invented in the 1950s by Soviet physicists Igor Tamm and Andrei Sakharov, inspired by an original idea of Oleg Lavrentiev.

* The vibraphone in its original form is invented.

' Khlyst ', the name commonly applied to them, is a distortion of the name they used ; the original name was the invented word Христововеры ( Khristovovery, " Christ-believers ") or Христы ( Khristy ); their critics corrupted the name, mixing it with the word хлыст ( khlyst ), meaning " a whip ".

The original dual-in-line package was invented by Bryant " Buck " Rogers in 1964 while working for Fairchild Semiconductor.

Relief etching was invented by William Blake in about 1788, and he has been almost the only artist to use it in its original form.

The original Hungarian notation, which would now be called Apps Hungarian, was invented by Charles Simonyi, a programmer who worked at Xerox PARC circa 1972 – 1981, and who later became Chief Architect at Microsoft.

The original mixture, as invented, used iron oxide in the form of mill scale.

His original name was Aiwendil, meaning bird-friend in Tolkien's invented language of Quenya.

Whatever the validity of such claims, a creative and original turn of mind is demonstrated in his poetry-he probably invented the genre of the victory ode and he gave persuasive expression to a new set of ethical standards ( see Ethics ).

The geographic features of the Adirondacks were considered reminiscent of the Scottish landscape in which the game was invented, and thus a fitting canvas for original play, or " mountain golf.

An original printing press for the Penny Black, the D cylinder press invented by Jacob Perkins and patented in 1819, is on display at the British Library in London.

* 75 mm ( Rottefella, Nordic Norm, 3-pin ) This is the original, classic system found on cross country skis, invented by Bror With.

Indeed this term can be seen as the original name of Hinduism, the latter being a term invented by ancient Persians.

Henry Briggs ( February 1561 – 26 January 1630 ) was an English mathematician notable for changing the original logarithms invented by John Napier into common ( base 10 ) logarithms, which are sometimes known as Briggsian logarithms in his honour.

These brilliant achievements, together with Galileo's immense improvement of the instrument, overshadowed to a great degree the credit due to the original inventor, and led to the universal adoption of the name of the Galilean telescope for the form of the instrument invented by Lippershey.