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, the term may be an original invention of Paracelsus.

Alternatively, some filmmakers attempt to stretch the boundaries of the rendering engines or to mask the original 3-D context.

Alternatively, Prakrit can be taken to mean " derived from an original ," which means evolved in natural way.

Alternatively, if a strip with an even number of half-twists is cut in half along its length, it will result in two linked strips, each with the same number of twists as the original.

Alternatively, one may interpret the original statement as a statement in such a formal language ; it was merely an abbreviation for the statement produced at the end.

Alternatively, the zygocyst may excyst in its original host and grow into a multinucleate protrophont.

Alternatively, one can totally differentiate the original equation:

Alternatively, they can all be divided out at once: for example the linear factors x – r and x – s can be multiplied together to obtain the quadratic factor x < sup > 2 </ sup > – ( r + s ) x + rs, which can then be divided into the original polynomial P ( x ) to obtain a quotient of degree n – 2.

Alternatively, if additional information can be generated using the same process as the original information, one can use the original information to construct a hypothesis, and then test the hypothesis on the new data.

Alternatively, an explanatory footnote may be added indicating that the original text lacks the additional wording.

Alternatively it could be said that there is no golden calf story in the J source, and if it is correct that the Jeroboam story was the original as stated by Friedman, then it is unlikely that the Golden Calf events as described in Exodus occurred at all.

Alternatively, two hounds may trap the fox against an edge of the board ( other than their original home-row ).

Alternatively, a more idiomatic style may develop into an equally prestigious tradition of titles, because of the shining example of the original – thus various styles of Emperors trace back to the Roman Imperator ( strictly speaking a republican military honorific ), the family surname Caesar ( turned into an imperial title since Diocletian's Tetrarchy ).

Alternatively, X-Men # 1 ( September 1963 ) is both the first appearance of the X-Men and that of each of the team ’ s original members.

Alternatively, it may be written by someone other than the author of the book to provide enriching comment, such as discussing the work's historical or cultural context ( especially if the work is being reissued many years after its original publication ).

" The Hebrew word בתחבולות translates into English as, " Ploys, Tricks, Trickery, Subterfuges, or Stratagems " ( Source: Google Translate ) Alternatively, translations of בתחבולות into English in Proverbs 24: 6 in Christian Bibles substitute a different meaning from the original Hewbrew.

Alternatively, it is a series comprising the original tetralogy, a 1983 collection of essays, and a 1987 sequel.

Alternatively, this line could be a reference to Ray Bradbury's A Sound of Thunder, the original science fiction story that involved changes in a timeline caused by stepping on an insect, which influenced the Simpsons episode.

Alternatively, this can involve motion interpolation, where rather than displaying the original fields twice, creates interpolated images between the original frames.

Alternatively, iron sulphides present in the coal may have sufficient catalytic activity for the process, which was the original Bergius process.

Alternatively, after selfing or nucleic acid thermodynamics, plastids may sort-out from a mixed egg or mixed zygote respectively.

Alternatively, in Transcarpathia and other ethnic Lemko areas, a pinhead was dipped into molten wax and then applied to the shell of the egg.

Alternatively, an egg provided by a donor may be used to create the embryo.

Alternatively, the egg may be dropped into the bread before the bread is browned.

Alternatively, they are often enjoyed in a roll, usually accompanied with either sliced sausage, bacon, or fried egg.

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, the rock picker can feel underneath rocks at low tides for abalone.

Alternatively they can be organized by whether the raw stock is of natural, or synthetic origin, or by their starting physical phase.

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 SCSI Enclosure Services can be used.

Alternatively, she can seek a surgical solution.

Alternatively, there may further be requirements for maximum terms that a government can keep power before holding an election.

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, dualism can mean the tendency of humans to perceive and understand the world as being divided into two overarching categories.

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, 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, 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, the image can be photographically recorded by exposing a photographic film or plate directly to the electron beam, or a high-resolution phosphor may be coupled by means of a lens optical system or a fibre optic light-guide to the sensor of a CCD ( charge-coupled device ) camera.

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, for an orientable surface the formula can be given in terms of the genus of a surface, g:

Alternatively, gdbserver can be used to remotely debug the program without needing to change it in any way.

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

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, it can be thought of as maximizing the minimum gain ( maximin ).