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Some Related Sentences

Alternatively and determinant
: Alternatively we multiply by an orthogonal matrix with determinant − 1 ( corresponding to a reflection in a line through the origin ), followed by a translation.

Alternatively and may
Alternatively, Assistive Technology may attempt to improve the ergonomics of the devices themselves such as Dvorak and other alternative layouts, which offer more ergonomic layouts of the keys.
Alternatively, ocean eddies, the oceanic equivalent of atmospheric storms, or the large-scale meanders of the Circumpolar Current may directly transport momentum downwards in the water column.
Alternatively, civilian vehicles may be modified into improvised armored cars in ad-hoc fashion.
Alternatively, a unique position on the board on which a game piece may be located while in play.
Alternatively, a binary function may be interpreted as simply a function from X × Y to Z.
Alternatively, a coin may be tossed, with the winners choosing whether to serve or receive first, or choosing which end of the court to occupy, and their opponents making the leftover the remaining choice.
Alternatively, if the boards are pre-dealt, " curtain cards " may be supplied which have each hand printed on them, so that each player can check at the beginning of the deal that he has the right cards.
Alternatively, since they may have felt the need to force some kind of victory — they could hardly remain at Marathon indefinitely.
Alternatively, the game may be played with ring-shaped pieces with a central hole.
Alternatively, conspiracy theories may arise when evidence available in the public record does not correspond with the common or official version of events.
Alternatively, computer programs may be executed with the aid of an interpreter, or may be embedded directly into hardware.
Alternatively, there may further be requirements for maximum terms that a government can keep power before holding an election.
Alternatively, the supernova may have resulted from the merger of two white dwarfs, so that the limit was only violated momentarily.
Alternatively, a file may contain an arbitrary binary image ( a BLOB ) or it may contain an executable.
Alternatively, elapsed time may represent the gradual process of healing of old hatreds.
Alternatively, if Bishop Cellach was appointed by Giric, it may be that the gathering was intended to heal a rift between king and church.
Alternatively, if using more than one or two techniques for every experiment is infeasible, some of the benefits of consilience may still be obtained if it is well-established that these techniques usually give the same result.
Alternatively, DMs may develop their own fictional worlds to use as campaign settings.
Alternatively, a single hostname may correspond to many IP addresses: this can facilitate fault tolerance and load distribution, and also allows a site to move physical locations seamlessly.
Alternatively, each computer may have its own user with individual needs, and the purpose of the distributed system is to coordinate the use of shared resources or provide communication services to the users.
Alternatively, IPv6 hosts may use stateless address autoconfiguration.
Alternatively, the home country may prosecute the individual.
Alternatively, they may be joined as clusters to form क ् नय knaya, कन ् य kanya, or क ् न ् य knya.

Alternatively and be
Alternatively they can be organized by whether the raw stock is of natural, or synthetic origin, or by their starting physical phase.
Alternatively SCSI Enclosure Services can be used.
" Alternatively, they might be folded to make small cheap books or " chapbooks " which often drew on ballad stories.
Alternatively, rasterization can be done in a more complicated manner by first rendering the vertices of a face and then rendering the pixels of that face as a blending of the vertex colors.
Alternatively, diagnosis and strain identification can be made using polymerase chain reaction ( PCR ).
Alternatively, the business can be sold as a going concern with the net proceeds of the sale distributed to creditors ratably in accordance with statutory priorities.
Alternatively, the coordinates of a point p can also be taken as the ( signed ) distances from p to the three planes defined by the three axes.
Alternatively, if positive pressures are required, standard glassware can not be used, energy must be used for pressurization and there is a higher chance of side reactions occurring in the distillation, such as decomposition, due to the higher temperatures required to effect boiling.
Alternatively, and especially in connection with the relational model of database management, the relation between attributes drawn from a specified set of domains can be seen as being primary.
Alternatively, the method can be used to value the company based on the value of total invested capital.
Alternatively, they can be fitted with tom heads and tuned as shallow concert toms.
Alternatively, two figures are congruent if one can be moved on top of the other so that it matches up with it exactly.

Alternatively and noun
Alternatively, Skaði may be connected with the Old Norse noun skaði (" harm "), whence the Icelandic skaði (“ harm, damage ”).
Alternatively, the name " Funk Brothers " could have been given to the band ex post facto ; the term " funky " as an adjective came to be associated with uptempo and backbeat, southern-styled soul music in the second half of the 1960s ; the term " funk " as a noun is typically associated with uptempo soul music from the 1970s onwards.

Alternatively and case
Alternatively, one may point out that greater good theodicies lead us to see every conceivable state of affairs as compatible with the existence of God, and in that case the notion of God's goodness is rendered meaningless.
Alternatively, a scenario which is thought to be close to ( but not necessarily worse than ) the real worst case may be considered.
Alternatively, for applications in which the computation of is the most costly step and both first and second derivatives must be computed, a more efficient formula for the last case is:
Alternatively, as is the case with musique concrète, the composer can work with many sounds often not associated with the creation of music, such as typewriters, sirens, and so forth.
Alternatively, it might be seen as a case of poorly defined property rights, as with, for example, pollution of bodies of water that may belong to no-one ( either figuratively, in the case of publicly owned, or literally, in some countries and / or legal traditions ).
" Alternatively, the earliest form of the name may have been Aranrot, in which case the first part of the name would be related to " Aran.
Alternatively, an ecotax can have a " lifeline " design, in which modest consumption levels are priced relatively low ( even zero, in the case of water ), and higher consumption levels are priced at a higher rate.
Alternatively, some sources give the origin of " Dutch " in this case as a corruption or a " folk-rendering " of the Pennsylvania German endonym " Deitsch ".
Alternatively, the principle is often invoked for model specification: in this case the observed data itself is assumed to be the testable information.
Alternatively a case may be heard by a district judge ( formerly known as a stipendiary magistrate ), who will be a qualified lawyer and will sit singly, but has the same powers as a lay bench.
Alternatively, as demonstrated by the case of Derek Paravicini described above, people with blindness may become extremely skilled in music.
Alternatively, it is also possible to manufacture similar engineered cellulosic products from other lignin-containing materials such as rye straw, wheat straw, rice straw, hemp stalks, kenaf stalks, or sugar cane residue, in which case they contain no actual wood but rather vegetable fibers.
Alternatively a bar may separate a lake from the sea, as in the case of an ayre.
Alternatively, a case may be selected as a key case, chosen because of the inherent interest of the case or the circumstances surrounding it.
Alternatively, a similar effect can be accomplished using synthesis-modelling of the ASDR envelope or digital modelling ( e. g., for the hard strike, the keyboard would add the timbres associated with a hard strike — in the case of a Fender Rhodes voice, this would be a biting, " bark " sound.
Alternatively, for the case of a given sampling frequency, simpler formulae for the constraints on the signal's spectral band are given below.
Alternatively, Aceros has been considered monotypic, only including the Rufous-necked Hornbill, in which case all of the remaining are moved to the Rhyticeros.
In fact, the fraction fields of the rings of regular functions on any open set will be the same, so we define, for any U, K < sub > X </ sub >( U ) to be the common fraction field of any ring of regular functions on any open affine subset of X. Alternatively, one can define the function field in this case to be the local ring of the generic point.
Alternatively, one could simply lessen the frequency of this occurring by inserting the PDA into its case top first ( so that the joystick is at the wider end of the pocket ).
x for all x in X. Alternatively, the maps μ ( e, x ) and μ ( x, e ) are sometimes only required to be homotopic to the identity ( in this case e is called homotopy identity ), sometimes through basepoint preserving maps.
Alternatively, the base value for power may be given in terms of reactive or apparent power, in which case we have, respectively,

2.216 seconds.