By definition a multilinear map is alternating if it vanishes whenever two of its arguments are equal.

By appropriate selection of the ratio of turns, a transformer thus enables an alternating current ( AC ) voltage to be " stepped up " by making N < sub > s </ sub > greater than N < sub > p </ sub >, or " stepped down " by making N < sub > s </ sub > less than N < sub > p </ sub >.

By the 1870s, efficient generators that produced alternating current ( alternators ) were available, and it was found that alternating current could power an induction coil directly, without an interrupter.

By alternating the faster and slower burning explosives in a carefully calculated spherical configuration, they would produce a compressive wave upon their simultaneous detonation.

By the fourth issue, Pavitt had shortened the name to Sub Pop and began alternating issues with compilation tapes of underground rock bands.

By the time of the first historical records of Lindsey, it had become a subjugated polity, under the alternating control of Northumbria and Mercia.

By the time the series launched, the name had returned to The Books of Magic and a regular rotating team of artists Gross, Gary Amaro and Peter Snejbjerg was put in place to provide artwork for alternating storylines.

By alternating the grain direction of the veneers from layer to layer, or “ cross-orienting ”, panel strength and stiffness in both directions are maximized.

By alternating actual and mental shifting over an image, Bates wrote, many patients were quickly able to shorten the " shift " to a point where they could " conceive and swing a letter the size of a period in a newspaper.

By adding the steady signal from the sense aerial to the alternating signal from the loop signal as it rotates, there is now only one position as the loop rotates 360 ° at which there is zero current.

By alternating the circuits like this, power will always be present on one floor if either RCD trips out.

" By this he was asking what non-diagrammatic properties of the knot complement would characterize alternating knots.

By alternating hymn-based vocalization and jazz rhythms, Van Peebles created a sound that foreshadowed the use of sampling in hip hop music.

By contrast, horses which lack a functional agouti gene cannot produce such alternating bands, and thus have wholly black coats with no visible phaeomelanin.

By alternating the two different working states: the loaded state and the unloaded state.

By using alternating layers of a low-index material like silica and a higher-index material it is possible to obtain reflectivities as low as 0. 1 % at a single wavelength.

The idea is to define a reduction function R that maps hash values back into values in P. By alternating the hash function with the reduction function, chains of alternating passwords and hash values are formed.

By clarifying fundamental premises in the social sciences, and defining the logical problems emergent at the borderlands of each new scientific discipline, philosophy can offer the sort of distinction that can accelerate growth in human understanding.

By this same combination of the will and the imagination, each one of us can learn to portray permanently the kind of character we would like to be.

By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.

By having three stations, a total of three different cars can be operated on at the same time, each one at a different stage of its assembly.

By treating each candidate as a separate question, " Do you approve of this person for the job?

By the 1920s, each state in the United States had passed public laws that stipulated a certain day to be Arbor Day or Arbor and Bird Day observance.

By patiently transcribing each word of the text, the writer was made to contemplate the meaning of it.

* By whether the same key is used for both encryption and decryption ( symmetric key algorithms ), or if a different key is used for each ( asymmetric key algorithms ).

By this method each bull can serve very many cows, so only a very few of the purebred dairy male calves are needed to provide bulls for breeding.

By giving each channel a different frequency " slot " on the cable the separate television signals do not interfere.

By exposing an azeotrope to a vacuum or positive pressure, it's possible to bias the boiling point of one component away from the other by exploiting the differing vapour pressure curves of each ; the curves may overlap at the azeotropic point, but are unlikely to be remain identical further along the pressure axis either side of the azeotropic point.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

* By adding bits to each encoded unit, the redundancy allows both to detect errors in coded data and to correct them based on mathematical algorithms.

By externalizing such functionality to the DBMS, applications effectively share code with each other and are relieved of much internal complexity.

By contrast, a dynamic web page is a broader concept, covering any web page generated differently for each user, load occurrence, or specific variable values.

By construction, each point on the curve shows productive efficiency in maximizing output for given total inputs.

By the mid — 18th century the French chemist Charles François de Cisternay du Fay had discovered two types of static electricity, and that like charges repel each other whilst unlike charges attract.

By reversing the steps in the Euclidean algorithm, the GCD can be expressed as a sum of the two original numbers each multiplied by a positive or negative integer, e. g., 21 = × 105 + × 252.

By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.

By 1927 readers, often young adults, would write to each other, bypassing the magazine.

By inspection, each of the small natural numbers 1, 2, 3, 4, ... is the product of primes.

By the 1st century BCE, noxii were being condemned to the beasts ( damnati ad bestias ) in the arena, with almost no chance of survival, or were made to kill each other.

By 2006, such was the confusion from these multiple Acts, each amending the others ( and not all of which were ever actually commenced and thus were in the public record but not enforced as actual legislation ); and the amendments of Irish firearms legislation by other Acts ranging from the Wildlife Acts ( mostly relating to hunting law ) to the Road Traffic Acts ( relating to how and where firearms could be transported ) and others ; the large amount of secondary legislation ( Statutory Instruments, which set out regulations, the design of application forms for licences and so forth, as well as the details of when various parts of the Acts came into force ); as well as the introduction of EU firearms law into the canon of Irish legislation ; led the Irish Law Reform Commission to recommend that all the extant legislation be restated a legal process by which all the existing primary and secondary legislation would be read as one and a single document produced as the new Firearms Act ( and all prior Acts would be repealed ).

By sorting formulas according to the number of atoms of each element present in the formula according to these rules, with differences in earlier elements or numbers being treated as more significant than differences in any later element or number — like sorting text strings into lexicographical order — it is possible to collate chemical formulas into what is known as Hill system order.

By typing " HINT " twice the player would open up a screen of possible topics where they could then reveal one hint at a time for each puzzle, just like the books.