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Alternatively, imaginary roots are obfuscated in the following:
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Alternatively and imaginary
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, one can treat the case of lossless surrounding media by taking the limit as the losses ( the imaginary part of ε ) go to zero.
Alternatively and roots
Alternatively, one can find a numerical approximation of the roots in the field of the real or complex numbers.
Alternatively, the propagating roots can be kept in the refrigerator or buried away from frost until spring.
Alternatively and are
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, 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, 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, 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, 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 ).
Alternatively and following
Alternatively, the Trojans and Pallas Athena were the judges in that, following Nestor's advice, spies were sent to the walls to overhear what was said.
Alternatively, it has been explained by journalist Charles Mowbray White that Garvey proposed the colours for the following reasons: " Garvey said red because of sympathy for the ' Reds of the world ', and the Green their sympathy for the Irish in their fight for freedom, and the Black-the Negro.
Alternatively, it was explained by journalist Charles Mowbray White that Marcus Garvey proposed the colours for the following reasons: " Garvey said red because of sympathy for the ' Reds of the world ', and the Green their sympathy for the Irish in their fight for freedom, and the Black -
Alternatively the following car may accelerate more rapidly than the leading ( for example, leaving an intersection ) resulting in an equivalent collision.
Alternatively, if the track takes the flight directly overhead a beacon, the pilot can use the ADF instrument to maintain heading relative to the beacon, though " following the needle " is bad practice, especially in the presence of a strong cross wind-the pilot's actual track will spiral in towards the beacon, not what was intended.
Alternatively, or following this identification, it is supposedly necessary to mistreat the child by placing it in a hot oven, by holding it in a shovel over a hot fire, or by bathing it in a solution of foxglove.
Alternatively, lenition may be represented by a following letter h, thus: bh ch dh fh gh mh ph sh th.
Alternatively, some of the main characteristics of the disorder, which consist of recurring intrusion feelings, an inability to resist the urge to steal, and a release of pressure following the theft, suggest that kleptomania could be an obsessive-compulsive spectrum disorder, although this is disputed.
Alternatively, a crew finishing last in a division must race in the next-lower division the following day ( starting first ).
Alternatively, digital Y ′ CbCr is derived from digital R ' dG ' dB'd ( 8 bits per sample ) according to the following equations:
Alternatively, this move can be performed in the same fashion, but following an arm wrench or wrist lock instead of an Irish whip, or by simply grabbing hold of one of the opponent's arms with one the wrestler's hands, pulling it towards the wrestler and clotheslining him with his spare arm.
Alternatively, if there is no " pase ", light jokes or comments can be made in a show involving people of the following show, so that some viewers or listeners might be interested in hearing what the reply will be.
Alternatively stated, an Euler brick is a solution to the following system of Diophantine equations:
Alternatively, the pieces may spar, following rules similar to those used by the Society for Creative Anachronism.
Alternatively, one can imagine directly generating the entire infinite Fibonacci word by the following process: start with a cursor pointing to the single digit 0.
Alternatively, the following definition, in terms of the Hurwitz zeta function, is valid in the whole complex s-plane:
Alternatively, you can add one of the following templates ; these will automatically add you to the relevant section of this list.
Alternatively, you can add any of the following templates, which will automatically add you to the relevant section of this list.
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