Instead, the QR algorithm works with a complete basis of vectors, using QR decomposition to renormalize ( and orthogonalize ).

Instead of learning the output vectors directly, the semidefinite programming aims to find an inner product matrix that maximizes the pairwise distances between any two inputs that are not connected in the neighborhood graph while preserving the nearest neighbors distances.

Instead of attempting the impossible, why not a publicity campaign to prove that all the tiger's stripes are not black??

Instead of motels, for the boatman there are marinas.

Instead of relatively small sales to many accounts, there are now larger sales to or through fewer accounts.

Instead, all of the total costs are treated as variable costs, although these costs are divided into costs that are deemed to be functions of different variables.

Instead, the audience can sit back at ease and, from the perspective of an enlightened time which no longer believes in such things, enjoy the dead seriousness with which the characters in the play take the witches and devils which are under discussion.

Instead, lower bidding characters are ranked in ascending order according to how much they have bid, the characters becoming progressively weaker in that attribute as they pay less for it.

Instead of a microphone and speaker, Le Guin's ansibles are attached to a keyboard and small display to perform text messaging.

Instead there are Syeboi Angeilloi, Latinized to Suevi Angili, located south of the middle Elbe.

Instead there are many separate heart ailments, or combinations of them.

Instead of transferring the weight of the bridge and traffic loads into thrust forces into the abutments, the ends of the arches are restrained by tension in the bottom chord of the structure.

Instead, it is put in parallel with chapter 4 ( C ) where divine judgements are pronounced against the Babylonian kings.

Instead, it posits the arising of events under certain conditions which are inextricable, such that the processes in question at no time, are considered to be entities.

Instead, the locations at which the bricks are loaded, fired, and unloaded gradually rotate through the trench.

Instead, users looking for information about subnational areas are referred to " a comprehensive encyclopedia " for their reference needs.

Instead, these substances are discussed in terms of formula units or unit cells as the smallest repeating structure within the substance.

Instead many Canadian companies have focused their exploration and expansion activities overseas where prices are lower and governments more accommodating.

Instead, particles and auxiliary words are used to indicate grammatical relationships.

Instead of focusing merely on the individual objects ( e. g., groups ) possessing a given structure, category theory emphasizes the morphisms – the structure-preserving mappings – between these objects ; by studying these morphisms, we are able to learn more about the structure of the objects.

Instead, vegetables such as beans or fruits are used.

Instead they are hindgut fermenters that digest cellulose via microbial fermentation.

Instead, according to Buddhist thought, a wise person adopts a middle way without holding conventions to be ultimate or ignoring them when they are fruitful.

Instead of inflecting a verb or using an unattached particle to indicate the past or future, Siddo used an entirely different word.

Instead, Alexios Doukas used his access to the palace to arrest the emperors.

Instead of using RS-422's balanced transmit and receive circuits, the AppleTalk Personal Network cabling used a single common electrical ground, which limited speeds to about 500 kbit / s, but allowed one conductor to be removed.

Since the 2002 edition, the Apostles ' Creed is included in the Roman Missal with the indication, " Instead of the Niceno-Constantinopolitan Creed, especially during Lent and Easter time, the baptismal Symbol of the Roman Church, known as the Apostles ’ Creed, may be used.

Instead he used capital and lower-case letters, numerals, and every typographical symbol available on his extensive and somewhat eccentric typewriter.

Instead The Far Side used a wide variety of characters including humans, monsters, aliens, chickens, cows, worms, amoebas and more.

Instead of listing every single element, sometimes an ellipsis ("...") is used, if the writer believes that the reader can easily guess what is missing ; for example, presumably denotes the set of integers from 1 to 100.

Instead of conductivity, a reciprocal quantity called resistivity ρ, can be used:

Instead, non-return-to-zero, inverted encoding is used: a change from pit to land or land to pit indicates a one, while no change indicates a series of zeros.

Instead, water clocks in ancient societies were used mainly for astrological reasons.

Instead the distinction went to the 1884 route from Archway to Highgate, north London, which used a continuous cable and grip system on the 1 in 11 ( 9 %) climb of Highgate Hill.

Instead, this effort evolved into the SAGE system for the US Air Force, which used large screens and light guns to allow operators to interact with radar data stored in the computer.

Instead of sampling and quantization as in analog-to-digital conversion, such techniques as polling and encoding are used.

One critic states of psychologists that " Instead of replacing ' metaphysical ' terms such as ' desire ' and ' purpose ', they used it to legitimize them by giving them operational definitions ... the initial, quite radical operationalist ideas eventually came to serve as little more than a ' reassurance fetish ' ( Koch 1992 ) for mainstream methodological practice.

Instead, these parsers just provide to the application the parsed FPI and / or URI associated to the notations found in the parsed SGML or XML document, and with a facility for a dictionary containing all notation names declared in the DTD ; these validating parsers will also check the uniqueness of notation name declarations, and will report a validation error if some notation names are used anywhere in the DTD or in the document body but not declared:

Instead, an inexpensive device fitting over hinges is available on the market and should be used to ensure safety ..."

Instead of trying to project the cash flows to infinity, terminal value techniques are often used.

Instead of developing a new name for the new type of monarchy, they used ( autokratōr, only partly overlapping with the modern understanding of " autocrat ") or ( basileus, until then the usual name for " sovereign ").

Instead of true cinnamon, " Chinese cinnamon " ( also known as rougui, the ground bark of the cassia tree, a close relative of true cinnamon which is often sold as cinnamon ), may be used.

Instead, it is used only to display or print the content.

Instead, the auk was a powerful swimmer, a trait that it used in hunting.

Instead, resins are used.