Alternatively, for those familiar with power series ( or Taylor series ), one may think of a formal power series as a power series in which we ignore questions of convergence by not assuming that the variable X denotes any numerical value ( not even an unknown value ).

Alternatively, a multiplying DAC takes a variable input voltage for their conversion.

Alternatively, a variable capacitor is used to tune the radio instead of the coil.

Alternatively, the variable must not appear anywhere in the respective lower sequents.

Alternatively, fields of variable length may, for instance, be separated by commas ( see Comma-separated values ) when the end of each individual field must be determined by scanning for the delimiter " one byte at a time ".

Alternatively, a variant scoring system determines the winner via a point system — 1 point for a knock out, 2 points for a propaganda knock out, 3 points for a retaliation knock out, a variable number of points for position depending on number of players, and finally 2 points for surviving ( with the survivor not necessarily being the points winner ).

Alternatively, specification may state that the records are of variable length, along with the maximum record length.

Alternatively, if M is a linear subspace then ; apply this inequality to the subspace defined by the ( orthogonal ) complement of the image of BC in the image of B, whose dimension is ; its image under A has dimension

Alternatively, a hyperboloid of two sheets of axis AB is obtained as the set of points P such that AP − BP is a constant, AP being the distance between A and P. Points A and B are then called the foci of the hyperboloid.

Alternatively, a coupé is often distinguished from a two-door sedan by the lack of a B pillar to support the roof.

: Means that if A and B are in all respect identical the consumer will consider a to be at least as good as ( is weakly preferred ) to B. Alternatively, the axiom can be modified to read that the consumer is indifferent with regard to A and B.

Alternatively, the Bridgwater and Minehead Junction Railway would link with the B & ER at Bridgwater and run through Williton to Minehead with a branch to Watchet and a connecting Minehead and Central Devon Junction Railway would provide a line to Exeter.

Alternatively, students may choose to use the LL. B.

Alternatively, if person A is joking or teasing person B in a friendly way, person A may wink directly at person B as a way to suggest to him that his own ( A's ) words are to be taken as a joke.

Alternatively, if a person's evaluative B, belief is preferential, flexible and constructive, the C, the emotional and behavioral consequence is likely to be self-helping and constructive.

Alternatively, if " A " intends merely to frighten " B ", and that same shot intentionally misses " B " but accidentally kills " C ", " A " may be guilty of assaulting " B " ( among other things ), but not attempted murder, unless " A " intended that such fright would kill " B ".

Alternatively, we can assume space is a very large three sphere S < sup > 3 </ sup > or that space is a compact 3-ball B < sup > 3 </ sup > with a S < sup > 2 </ sup > boundary where the values of the fields are fixed so that the gauge transformations occur only in the interior of the ball.

Alternatively, genealogies included in the works of William of Malmesbury and John of Worcester ( Chronicon B ) make Sledd the first king of Essex and genealogies for Sigered and Swithred in Add.

Dominance may be a purely dyadic relationship, i. e. individual A is dominant over individual B, but this has no implications for whether either of these is dominant over a third individual C. Alternatively, dominance may be hierarchical, with a transitive relationship, so that if A dominates B and B dominates C, A always dominates C. This is called a linear dominance hierarchy.

Alternatively, since they may have felt the need to force some kind of victory — they could hardly remain at Marathon indefinitely.

Alternatively, similar to the way primary colors combine, primary emotions could blend to form the full spectrum of human emotional experience.

( Alternatively, apparent cognates in Eurasian language families far removed from each other could also be early loanwords, compare Wanderwort.

Alternatively, a breeder could, using individuals of differing phenotypes, create a new breed with specific characteristics.

Alternatively fuel cell technology may come to deliver its promise and the use of the internal combustion engines could even be phased out.

Alternatively, we could control the Hamiltonian of the system, and thus the time evolution operator U ( for a time independent Hamiltonian,, where is called the generator of translations in time ) up to some fixed time interval, which yields a unitary operator.

Alternatively, a railway, or a combined railway and oil pipeline, could be built to link ports on the Atlantic and Pacific coasts.

Alternatively one could also consider combinations of five cubes that are themselves 3D, i. e., are not part of one layer of cubes.

Alternatively, public health strategies could selectively address socioeconomic factors that have been linked to higher rates of schizophrenia in certain groups, for example in relation to immigration, ethnicity or poverty.

Alternatively, energy could be transmitted to the lunar and martian surfaces from solar power satellites.

Alternatively, since expendable multistage rockets entail discarding costly structure and engines, if the stages could be reused, this could permit much cheaper operation since the parts costs would be amortized over many flights.

Alternatively, the object of a trust could be a charitable purpose rather than specific beneficiaries.

Alternatively it has been suggested that the star could be in a low-activity state analogous to a Maunder minimum — a historical period, associated with the Little Ice Age in Europe, when sunspots became exceedingly rare on the Sun's surface.

Alternatively, if a predatory ancestor already flying and therefore with long forelimbs, used them to capture prey, it could be pulled on to a predatory foot claw, later inherited and demonstrated by the fighting Velociraptor.

Alternatively, Ctrl + KC could be used to copy the block.

( Alternatively, Lucien Gubbay suggests the name Medina could also have been a derivative from the Aramaic word Medinta, which the Jewish inhabitants could have used for the city.

Alternatively, one could use some of the following criteria:

Alternatively, liquid oxygen could be used as reaction mass, which upon release would boil down to its molecular state.

Alternatively, the ram could be set ablaze, doused in fire-heated sand, pounded by boulders dropped from battlements or invested by a rapid sally of troops.

Alternatively the deflection of the suspended magnets could be observed directly through a microscope.

Alternatively, they could use the ITU X. 733 Alarm Reporting Function's perceived severity field.

Alternatively, pelvic inflammatory disease could explain why the onset of her symptoms roughly coincided with her penultimate pregnancy.

Alternatively, one could require that the transition maps