Instead of considering the inverses for individual inputs and outputs, one can think of the function as sending the whole set of inputs, the domain, to a set of outputs, the range.

Instead, he remained south of the Loire River, where he was still able to exert some small amount of power, maintaining an itinerant court in the Loire Valley at castles such as Chinon, being customarily known as " Dauphin " still, or derisively as " King of Bourges " ( named after the town where he generally lived ), periodically considering flight to the Iberian Peninsula, and allowing the English to advance in power.

Instead of considering AR and VR as exact opposite concepts, Milgram et al.

Instead of considering Leibniz's law as an axiom, it can also be taken as the definition of equality.

To see why this should be true, suppose an investor is considering buying one of the two firms U or L. Instead of purchasing the shares of the levered firm L, he could purchase the shares of firm U and borrow the same amount of money B that firm L does.

Instead of enumerating reachable states one at a time, the state space can sometimes be traversed much more efficiently by considering large numbers of states at a single step.

Instead of considering additional structure, it is also possible to take into account various notions of manifold, especially piecewise linear ( PL ) and topological manifolds.

Instead, considering that lies in two-dimensional affine space as the ' hyperbola ' defined parametrically by

Instead, he boosted integration with Russia, considering the fact that its new leader, Vladimir Putin, was continuously supporting Kuchma and refusing to recognize the allegations.

Instead of considering technology as part of a larger spectrum of human activity, technological determinism sees technology as the basis for all human activity.

Instead of considering it an indepenndent branch of the family, Halpern grouped it with the languages of Oswalt's " Western " branch, suggesting the possibility that Northeastern Pomo represents a recent migration of a Northern Pomo subgroup ( Halpern 1964 ; Golla 2011: 106-7 ).

Instead, Ashton-Tate vacillated between being extremely interested in the Macintosh market, considering it a way to break out of their dBASE-dominated PC line, and then being completely ambivalent about it.

Instead, it seeks cognitive and cultural explanations of social and organizational phenomena by considering the properties of supra-individual units of analysis that cannot be reduced to aggregations or direct consequences of individuals ’ attributes or motives.

Instead of considering only the physical model of a solid, IBMR methods usually focus more on light modeling.

Instead of stacking the PC and CC registers ( normal 6809 behavior ) the FIRQ interrupt can be set to stack the entire register set, as the IRQ interrupt does.

Instead of having to carry around hundreds of CD-Gs or laserdiscs, KJs can " rip " their entire libraries onto their hard drives and play the songs and lyrics from the computer.

Instead, the entire structure is assembled, inserted into its metal envelope, sealed and processed in a large vacuum chamber with simple robotic devices.

Instead of a world government, the above-mentioned " Shield " resolves the problem of an American-dominated world dictatorship in a truly libertarian manner: The protagonist, who is hunted by various power groups for the secret of a personal impregnable force field which he brought from Mars, finally decides to simply reveal it to the entire world, so that every individual could thumb his or her nose at each and every Authority.

Instead of DPS's concept of allowing PS to interact with C programs, NeWS instead extended PS into a language suitable for running the entire GUI of a computer.

: Instead of the entire Psalter: 6000 Jesus Prayers

Instead, many people use audio compression to save storage space and download time, even though a single-bit error may corrupt the entire song.

Instead of taking over key people, they have absorbed the entire human population of the occupied territory.

Instead, a hammer was provided for every other column and the entire hammer bank was arranged to shift left and right, driven by another voice coil.

Instead of drafting a certain player, a WFL team would draft an entire NFL or CFL team.

Instead of proceeding through the entire sequence of the zodiac, the equinoxes " trepidated " back and forth over an arc of 8 °.

Instead of changing from the Julian calendar to the Gregorian calendar by omitting a block of consecutive days as had been done in other countries, the Swedish Empire ( which included Finland at the time ) planned to change gradually by omitting all leap days for the entire period from 1700 to 1740 inclusive.

Instead, the entire East Bloc decided in favour of ties and trade with Morocco and refused to recognize the SADR.

Instead, Stukus decided that the team name should represent and embrace the entire Province of British Columbia.

Instead, the evaluation of an entire subtree is avoided.

Instead, Zhu tipped Xie Shi to the fact that the entire Former Qin force had not yet arrived, and that he should try to defeat the advance Former Qin forces to cripple the Former Qin's campaign.

Instead of participating in the entire set of their kingdoms ' events, the characters appear only in certain battles that they had fought in, as according to the novel or factual history.

Instead, the stop codon induces the binding of a release factor protein that prompts the disassembly of the entire ribosome / mRNA complex.

Instead of borrowing design cues from the Taurus, the Crown Victoria shared many of its body parts, including its entire roofline, with the more popular Mercury Grand Marquis.

Instead of the old senatorial districts, senators were elected via the entire country serving as an at-large district, although still under plurality-at-large voting, with voters voting up to eight candidates, and the eight candidates with the highest number of votes being elected.

Instead of the Positif, Cavaillé-Coll placed the Grand-Chœur manual as the lowest manual, and included couplers that allowed the entire tonal resources of the organ to be played from the Grand-Chœur.

Instead of just taking four classes integrated as part of the general education, Integral majors ' entire curriculum, including subjects not traditionally related to the " classics ," is done in the Seminar style.

Instead of drawing the revolver, Paladin unbuckles the belt and removes the entire rig, holding it out to the camera as he talks.

Instead of cutting a short road tunnel through Twyford Down, the entire escarpment was carved-out and the motorway placed through it.

Instead I ended up listening to him for an entire 1. 5 hours ", Lyubimov remembered years later of this first audition.

Instead, it presumably refers to the practice of setting law books and citing legal precedents in blackletter type, a tradition that survived long after the switch to roman and italic text for other printed works.

Instead he painted new works which were passed off as restorations, fooling many experts.

Instead, since development of music involves man's power, it reduces production of food ; furthermore, appreciation of music results in less time for administrative works.

Instead of attending lectures, he spent his student years reading the works of Gauss and Jacobi — the consequence of this being he failed his examinations.

Instead it works with a small number of partner organisations in Sheffield, Dundee and Blackpool to provide a regional presence.

Instead of using a greater number of bits and attempting to record a signal's precise amplitude for every sample cycle, a Direct Stream Digital recorder works by encoding a signal in a series of PWM pulses of fixed amplitude but variable duration and timing.

Instead of the immediate creation ex nihilo, both works postulate a series of emanations of mediums between God and the universe ; and both consider God as the first cause only, and not as the immediate efficient cause of the world.

Instead, he orchestrated some little-known piano works by Tchaikovsky such as The Seasons, along with themes from the opera Cherevichki and the latter part of the symphonic fantasia Francesca da Rimini.

Instead, Johann Adolph Hasse's Mass in D minor was performed, a work with many similarities to Bach's Mass ( the Credo movements in both works feature chant over a walking bass line, for example.

Instead they were valued as finished works of art.

Instead, as most of New York is destroyed, Angel works with Apocalypse's mutant elite, Magneto and his X-Men, and even the Human High Council to maintain and operate a nightclub aptly named Heaven, where humans and mutants can intermingle.

Instead, in 1946 the ceremony was held twice: in January for the works created in 1943-1944 and in June for the works of 1945.

Instead of large-scale canvases, Xul painted on small sheets of paper, sometimes mounting his finished works on sheets of cardboard.

Instead, it is strong and works great things always.

Instead, as in the case of, Studies in Ethnomethodology ( 1967 ), we are given oblique theoretical references to: Wittgenstein Language Philosophy ; Husserl Phenomenology ; Gurwitsch Theory ; the works of the social phenomeonologist Alfred Schutz of the Natural Attitude ; and an assortment of traditional social theorists generally appearing as antipodes and / or sounding boards for ethnomethodological ideas.

Instead, these borrowings are only fragmentary references to theoretical works from which ethnomethodology has " appropriated ", " misread ", and / or, " respecified ", the theoretical ideas of others for the expressed purposes of doing ethnomethodological investigations.

Instead they might learn about some effects in the environment ( i. e., how the tool moves, or how the apparatus works ).

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

Instead of trying to find out more about his illness, Jack works to set Jennifer up with her old boyfriend, Frankie Brady in order to protect her from the aforementioned Patrick, who he is sure would be after her the moment Jack was gone.

Instead, they propose that politicians should explore ways in which copyright holders can be paid through the movement of their works through P2P networks.

Instead, contempt for the means of grace is the result of " the perverse will of man, which rejects or perverts the means and instrument of the Holy Ghost, which God offers him through the call, and resists the Holy Ghost, who wishes to be efficacious, and works through the Word ..."

Instead, contempt for the means of grace is the result of " the perverse will of man, which rejects or perverts the means and instrument of the Holy Ghost, which God offers him through the call, and resists the Holy Ghost, who wishes to be efficacious, and works through the Word ..."

Instead, construction works began in early 2009 on a new location north-west of the city for a replacement football stadium capable of hosting major international matches.

Instead, Franchitti was contracted by AMG Racing to drive a works Mercedes C-Class in the German Touring Car Championship and the related International Touring Car Championship, where he finished fifth and third respectively.