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, consider the real numbers with the counting measure, which assigns to each finite set of reals the number of points in the set.

Alternatively, a scenario which is thought to be close to ( but not necessarily worse than ) the real worst case may be considered.

Alternatively, it has also been argued that Leofric, Earl of Mercia and his wife Lady Godiva were Hereward's real parents.

Alternatively, the lack of real fault in the offender can be recognized by rulings that dispense mitigated criminal sentences or address more practical matters of parental responsibility by adjusting the rights of parents to unsupervised custody, or by separate criminal proceedings against the parents for breach of their duties as parents.

Alternatively, fuzzy logic offers a continuous spectrum of logical states represented in the unit interval of real numbers — it is a many-valued logic with infinitely-many truth-values, and thus the sand moves smoothly from " definitely heap " to " definitely not heap ", with shades in the intermediate region.

Alternatively, one can find a numerical approximation of the roots in the field of the real or complex numbers.

Alternatively, Engel curves can also describe how real expenditure varies with household income.

Alternatively, Kintarō's real mother left the child in the wilds or died and left him an orphan, and he was raised by the mountain witch Yama-uba ( one tale says Kintarō's mother raised him in the wilds, but due to her haggard appearance, she came to be called Yama-uba ).

Alternatively, paintball weapons which look like real weapons, or simulation rounds such as plastic bullets may be used.

Alternatively, in some customs, each bank note may be folded in a specific way before being tossed into the fire because of the belief that burning real money brings bad luck.

Alternatively, the line is divided into three four-syllable sections by two caesuras.

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, it can be defined as the region where the average temperature for the warmest month ( July ) is below ; the northernmost tree line roughly follows the isotherm at the boundary of this region.

Alternatively, bit slip can be prevented by using a self-clocking signal ( such as a signal modulated using OQPSK ) or using a line coding such as Manchester encoding.

Alternatively, the water may have been routed through another standby " jumper line " that had only recently been connected to the system.

Alternatively, a single line shielded by power and ground lines can be used.

Alternatively in terms of free current, the line integral of the magnetic H-field ( in ampere per metre, Am < sup >− 1 </ sup >) around closed curve C equals the free current I < sub > f, enc </ sub > through a surface S:

Alternatively, the movements of the pen tip may be sensed " on line ", for example by a pen-based computer screen surface.

Alternatively, a single length of monofilament nylon, or fluorocarbon, may be tied to the end of the fly line using a nail or tube knot or a needle knot.

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, blood can be drawn from the same arm with an IV line after the IV has been turned off for at least 5 minutes, and the arm has been elevated to drain infused fluids away from the vein.

Alternatively, the line may represent his feelings of emptiness in the wake of his violence ; Porphyria is gone, quiet descends, and he's alone.

Alternatively, is the vertical distance at between the red line and the blue line shifted up to pass through the origin, i. e. the maximum value of.

Alternatively, an etalon may be used as the narrow band filter ( in conjunction with a " blocking filter " or energy rejection filter ) to pass only a narrow (< 0. 1 nm ) range of wavelengths of light centred around the H-alpha emission line.

Alternatively, elastic targets such as rubber tires shot with lower power weapons can return the slug along the line of fire even when struck at an oblique angle.

Alternatively, a monkey fist can be used as a weight of a heaving line thrown to over to an opposing ship to bring two ships together.

Alternatively, placing the quant such that there is an angle between the direction of motion and the line of the quant itself will push the rear of the craft away from the planted end of the quant, and so enable changes of direction.

Alternatively a turbine unit ( commonly containing a vacuum cleaner derived motor ) can be used to propel the air without the need for an air line.

* Alternatively, take the train to Rushall Station, on the South Morang line.

Alternatively, for any point on the surface, there is a line on the surface passing through it.

Alternatively, a Greek derivation from " manless, without husbands " ( a-privative and a derivation of * man-also found in Slavic muzh ) has been proposed, an explanation deemed " unlikely " by Hjalmar Frisk.

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, the device's invention has been popularly attributed to Mary the Jewess, an ancient alchemist traditionally supposed to have been Miriam, a sister of Moses.

Alternatively, a connection to the Rbhus, semi-divine craftsmen in Indian mythology, has also been suggested ( OED ).

Alternatively, jewellery has been used as a currency or trade good ; an example being the use of slave beads.

Alternatively, 5 ml from a neutron star of radius 20 km radius ( average density ) has a mass of about 400 million metric tons, or about the mass of all humans .</ ref > The resulting force of gravity is so strong that if an object were to fall from a height of one meter it would only take one microsecond to hit the surface of the neutron star, and would do so at around 2000 kilometers per second, or 7. 2 million kilometers per hour.

Alternatively, it has been also suggested that this is of non-Greek origin and probably of non-Indo-European origin too, while it is of an unknown etymology.

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, the name has been suggested to originate from the Latin verb solari, meaning " to soothe ".

Alternatively, it has been suggested that the arrangement has a magical origin, a way to trap evil spirits.

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, the setter moves into the right front and has both a middle and an outside attacker ; the disadvantage here lies in the lack of an offside hitter, allowing one of the other team's blockers to " cheat in " on a middle block.

Alternatively, Æthelred has been seen as one of the key forces in the promotion of Edward's cult and that of their sister Eadgifu ( Edith of Wilton ).

Alternatively, the derivation pēnē and lepō ( λέπω ), " peel ", because of the shroud-unweaving mytheme, has been suggested.

Alternatively, the bonded male has the option of rejecting his intended bride and choosing another.

Alternatively, it is possible to show that any bridgeless bipartite planar graph with n vertices and m edges has by combining the Euler formula ( where f is the number of faces of a planar embedding ) with the observation that the number of faces is at most half the number of edges ( because each face has at least four edges and each edge belongs to exactly two faces ).

Alternatively, people who are aware that a couple has different surnames may not realize that they are married.

Alternatively, if the seller has set a minimum sale price in advance ( the ' reserve ' price ) and the final bid does not reach that price the item remains unsold.

Alternatively it has been proposed to abolish the roles of the Governor-General and the monarchy and have their functions exercised by other constitutional officers such as the Speaker.

Alternatively, it has been suggested that " its purpose, though crudely handled, is to explain to Gilgamesh ( and the reader ) the various fates of the dead in the Afterlife " and in " an awkward attempt to bring closure ", it both connects the Gilgamesh of the epic with the Gilgamesh who is the King of the Netherworld, and is " a dramatic capstone whereby the twelve-tablet epic ends on one and the same theme, that of " seeing " (= understanding, discovery, etc.

Alternatively, rehabilitation robotics can be used to provide high volumes of passive or assisted movement, depending on the individual's requirements ; this form of therapy can be useful if therapists are at a premium, and has been found effective at reducing spasticity in patients suffering from stroke.