Alternatively both stops of the same pair could be drawn on each half of the keyboard to produce the same tone and pitch across the compass of the instrument.

Alternatively, if a line is constructed perpendicularly between Alpha Centauri and Beta Centauri, the point where the above mentioned line and this line intersect marks the Southern Celestial Pole.

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, sparring may continue with the point noted by the judges.

Alternatively, microscopes can be classed on whether they analyse the sample via a scanning point ( confocal optical microscopes, scanning electron microscopes and scanning probe microscopes ) or analyse the sample all at once ( wide field optical microscope and transmission electron microscopes ).

Alternatively a white dwarf star may accumulate sufficient material from a stellar companion ( either through accretion or via a merger ) to raise its core temperature enough to ignite carbon fusion, at which point it undergoes runaway nuclear fusion, completely disrupting it.

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 ambient noise levels may be measured to provide a reference point for analyzing an intrusive sound to a given environment.

Alternatively, a stopband corner frequency may be specified as a point where a transition band and a stopband meet: a frequency for which the attenuation is larger than the required stopband attenuation, which for example may be 30 dB or 100 dB.

Alternatively, it follows from () that if the polar coordinates of the point p are ( r < sub > 1 </ sub >, θ < sub > 1 </ sub >) and those of q are ( r < sub > 2 </ sub >, θ < sub > 2 </ sub >), then the distance between the points is

Alternatively, an analytic function is an infinitely differentiable function such that the Taylor series at any point x < sub > 0 </ sub > in its domain

Alternatively, some scholars identify Ptolemy Neos Philopator with Ptolemy Memphites, a son of Ptolemy VIII and Cleopatra II who was murdered by his father about 132 / 131 BC after his mother had tried to depose Physcon and proclaim their son king ; yet others point to a number of minor co-regents – all of whom were named Ptolemy as was the tradition in the dynasty.

Alternatively, it may be that railroad crews referred to the town as " Graftin " because it was the point at which a number of branch railroad lines met ( grafted to ) the railroad's mainline.

Alternatively, if the space X is sequential, we may say that x ∈ X is a limit point of S if and only if there is an ω-sequence of points in S

Alternatively, in a normal coordinate system based at p, at the point p

Alternatively, with respect to a large region without airfields, e. g. an ocean, it can mean the point before which it is closer to turn around and after which it is closer to continue.

Alternatively, the MSIC has had opportunity to continuously assist their clients over a period of many years and not just at a single point of time.

Alternatively, that the corresponding map T < sup > 2 </ sup >→ S < sup > 2 </ sup > from the torus T < sup > 2 </ sup > to the sphere S < sup > 2 </ sup > ( given by the point with given azimuth and elevation ) is not a covering map at these points.

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, on any day during the Fringe the pedestrianised area of the High Street around St Giles ' Cathedral and the Fringe Office becomes the focal point for theatre companies to hand out flyers, perform scenes from their shows, and attempt to sell tickets.

where the integral is over a path starting at the point at infinity with argument -( 1 / 3 ) π and ending at the point at infinity with argument ( 1 / 3 ) π. Alternatively, we can use the differential equation to extend Ai ( x ) and Bi ( x ) to entire functions on the complex plane.

Alternatively, Pym may die in the retelling of the story at precisely the same point he should have died during the actual adventure.

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, teams may have to mark their own answers and the handed-in papers are consulted only to check that prize claimants have not cheated by altering their answers.

Alternatively, the term " cooperative database " can be used to describe database systems that incorporate techniques to aid users beyond returning direct answers.

Alternatively, if characters ' attribute ranks are close, the weaker character can try to change the relevant attribute by changing the nature of the conflict.

Alternatively, atomic orbitals refer to functions that depend on the coordinates of one electron ( i. e. orbitals ) but are used as starting points for approximating wave functions that depend on the simultaneous coordinates of all the electrons in an atom or molecule.

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, in the US Military, two identical tags are issued.

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, specialised crash / ride and ride / crash cymbals are specifically designed to combine both functions.

Alternatively, two figures are congruent if one can be moved on top of the other so that it matches up with it exactly.

Alternatively, electrical engineers are usually concerned with using electricity to transmit energy, while electronic engineers are concerned with using electricity to process information.

Alternatively entropy can be defined from a classical thermodynamics viewpoint, in which the molecular interactions are not considered and instead the system is viewed from perspective of the gross motion of very large masses of molecules and the behavior of individual molecules is averaged and obscured.

Alternatively, it is possible to express an even-length real-input DFT as a complex DFT of half the length ( whose real and imaginary parts are the even / odd elements of the original real data ), followed by O ( N ) post-processing operations.

Alternatively, they can be termed when they are designed for combat as opposed to iaitō training swords.

Alternatively, the clinic may stop dosage at 80 mg, then allow the patient to move up by 5 mg or 10 mg every 2 or 3 days, until they are free from withdrawal symptoms and intense cravings.

Alternatively, the objects are called the first and second coordinates, or the left and right projections of the ordered pair.

Alternatively, if the two waves of the same wavelength and frequency are out of phase, then the wave crests will align with wave troughs and vice-versa.

Alternatively, the children are allowed to " steal " the afikoman and demand a reward for its return.

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

Alternatively called " torpedo scads ", they are cold-blooded with white flesh.

Alternatively, social commentators who suggest escalating crisis are often called prophets of doom.

Alternatively, if several different minerals can be dated from the same sample and are assumed to be formed by the same event and were in equilibrium with the reservoir when they formed, they should form an isochron.

Alternatively, in coastal towns cheap fish such as sardines ( sardalya ) or hamsi ( anchovies ) are widely available, as well as many others with seasonal availability.

Alternatively, technological unemployment might refer to the way in which steady increases in labour productivity mean that fewer workers are needed to produce the same level of output every year.

Alternatively, they may be prepared artificially, when they are called liposomes.

Alternatively, if,, and are known, but is not adjustable, the voltage difference across or current flow through the meter can be used to calculate the value of, using Kirchhoff's circuit laws ( also known as Kirchhoff's rules ).