Another simulation uses illumination plotted from a radiosity algorithm, or a combination of these two.

Another member of the DES team, Walter Tuchman, stated " We developed the DES algorithm entirely within IBM using IBMers.

Another theoretical attack, linear cryptanalysis, was published in 1994, but it was a brute force attack in 1998 that demonstrated that DES could be attacked very practically, and highlighted the need for a replacement algorithm.

Another polynomial viewpoint is exploited by the Winograd algorithm, which factorizes into cyclotomic polynomials — these often have coefficients of 1, 0, or − 1, and therefore require few ( if any ) multiplications, so Winograd can be used to obtain minimal-multiplication FFTs and is often used to find efficient algorithms for small factors.

Another prime-size FFT is due to L. I. Bluestein, and is sometimes called the chirp-z algorithm ; it also re-expresses a DFT as a convolution, but this time of the same size ( which can be zero-padded to a power of two and evaluated by radix-2 Cooley – Tukey FFTs, for example ), via the identity.

which can easily be proven by considering the Euclidean algorithm in base n. Another useful identity relates to the Euler's totient function:

Another point of view, which turns out to be very useful to analyze the algorithm, is that Gaussian elimination computes a matrix decomposition.

* Another explanation of the algorithm

Another check is to use an algorithm such as the lower bound algorithm to estimate if this tour is good enough.

Another form of transposition cipher uses grilles, or physical masks with cut-outs, rather than a mathematical algorithm.

Another method is the watershed algorithm.

Another chart parsing algorithm is the Cocke-Younger-Kasami ( CYK ) algorithm.

Another divide and conquer algorithm with a single subproblem is the Euclidean algorithm to compute the greatest common divisor of two numbers ( by reducing the numbers to smaller and smaller equivalent subproblems ), which dates to several centuries BC.

Another notable example is the algorithm invented by Anatolii A. Karatsuba in 1960 that could multiply two n-digit numbers in operations ( in Big O notation ).

The running time of O ( V E < sup > 2 </ sup >) is found by showing that each augmenting path can be found in O ( E ) time, that every time at least one of the E edges becomes saturated, that the distance from the saturated edge to the source along the augmenting path must be longer than last time it was saturated, and that the length is at most V. Another property of this algorithm is that the length of the shortest augmenting path increases monotonically.

Another very common kind of higher-order function in those languages which support them are sorting functions which take a comparison function as a parameter, allowing the programmer to separate the sorting algorithm from the comparisons of the items being sorted.

Another common choice is to terminate when the best solution found by the algorithm has not been improved in a given number of steps.

Another way of handling this is a reduction for the above algorithm.

Another important algorithm is based on breadth-first search ( BFS ).

Another algorithm is to compute the given point's winding number with respect to the polygon.

Another method is to use dynamic programming: recursively breaking the observation matrix into its sub-matrices and run the inference algorithm on these sub-matrices.

Another editor pointed despairingly at a bundle of letters that had accumulated for him, saying, `` But Mr. Hearst, what shall I do with this correspondence ''??

Another optimistic sign, this one from the Labor Department, was the report that the long rise in unemployment compensation payments `` was interrupted for the first time in the week ending Feb. 25 ''.

Another would be to take the advice of Dr. Elmer Ellis, president of the University of Missouri, and provide for an impartial professional analysis of Missouri's economy.

Another recent achievement was the successful development of a method for the complete combustion in a bomb calorimeter of a metal in fluorine when the product is relatively non-volatile.

Another example is the recent cancellation of the F-108, a long-range interceptor with a speed three times as great as the speed of sound, which was designed for use against manned bombers in the period of the mid-1960's.

Another growth factor is increased consumer demand for better quality and larger quantities of fabrics that go with a rising standard of living.

Another memo for sightseers: bring your camera along to museums.

Another factor that may hold hope is for parallel recognition is, as one man says it: `` that the fad for educating top people along managerial lines is yielding to the technically trained approach ''.

Another less ambiguous case read as follows: `` The bearer of this letter has served me for two years to his complete satisfaction.

Another important source of evidence only recently receiving much attention is the analysis of atmospheric dust for a meteoritic component.

Another great danger is that the emerging middle class will feel itself increasingly alienated from the political leaders who still justify their dominance by reference to the struggle for independence or the early phase of nationalism.

Another use of roleplaying for evaluation illustrates how this procedure can be used in real life situations without special equipment or special assistants during the daily course of work.

Another case may be given in illustration of a successful use of analysis, and also of the employment of a procedure for intensive analysis.

Another patient, a paranoid woman, for many months infuriated not only me but the ward-personnel and her fellow patients by arrogantly behaving as though she owned the whole building, as though she were the only person in it whose needs were to be met.

Another problem is who will pay for the training.

Another swore by vinegar baths for burns, and still another recommended salted butter.

Another cure for hydrophobia was to suck the wounds, then cauterize them with a hot knife or poker.

Another remedy was oil of eucalyptus, used as well for chilblains.

Another wart removal method was to rub each wart with a bean split open and then to bury the bean halves under the drip of the house for seven days.

Another was to soak raw beef in vinegar for twenty-four hours, tie it on the wart, and wear it for a week.

Another common method was to cut an onion in two and place each half on the wart for a moment ; ;

Another school frowns on such a shortcut, and insists that after leaving the bin an old red wine should first stand on end for several days to allow the sediment to roll to the very bottom, after which the bottle may be gently eased to a tilted position on its side in the cradle.

Another way is merely " one of the many modern substitutes for love, ... nothing but the urge to turn away from oneself and to lose oneself in other people ’ s business.