Another king will take ; small is the profit that he does not divide.

Another easy way without having to calculate the percentage is to multiply each group size by the sample size and divide by the total population size ( size of entire staff ):

Another way of stating the same is that for every prime factor p of n, the prime p does not divide n / p. Yet another formulation: n is square-free if and only if in every factorization n = ab, the factors a and b are coprime.

Another debate was created by Mike Hihn's claim that the term libertarianism has been used by anarchists longer than by minarchists .< Ref > Mike Hihn, " The Dallas Accord, Minarchists, and why our members sign a pledge ", Washington State Libertarian Party, August 2009 .</ ref > A related internal discussion concerns the philosophical divide over whether the Party should aim to be mainstream and pragmatic, or whether it should focus on being consistent and principled.

Another example of this is equal temperament ( which is actually eleventh-comma meantone if seen in the perspective as to how to divide the comma between the fifths ).

Another secondary divide follows the Appalachian chain, which separates those streams and rivers that flow directly into the Atlantic Ocean from those that exit via the Mississippi River.

Another triple divide or triple point occurs in Canada on a prominent peak directly on the border between Alberta and British Columbia, called Snow Dome because the Columbia Icefield completely covers the summit.

Another current popular approach that is based on the bel canto model is to divide both men and women's voices into three registers.

Another major problem that the President is only just beginning to adequately address youth unemployment, and soaring crime mainly perpetrated by frustrated youth on the wrong side of the wide poor-rich divide in the country.

Another approach is to divide all processes into an equal number of timing quanta such that the quantum size is proportional to the size of the process.

Another thing to consider when choosing a roommate is how to divide the cost of living.

Another useful way to broadly categorize skill games is to divide them into games that require physical skill and dexterity ( such as arcade games ) and games that require mental skill and strategy ( such as backgammon ).

Another way is to find two factors of the polynomial and divide the original polynimial by them.

Another issue was a large urban – rural divide: funding and teacher quality were far better in urban schools than rural, and urban students stayed in school longer.

Another difference was Malcolm's choice not to discuss the religious differences that divide Muslims and Christians, a common theme of his speeches when he was the spokesman for the Nation of Islam.

Another broad reason for the divide is that neurology traditionally looks at the causes of disorders from an " inside-the-skin " perspective ( neuropathology, genetics ) whereas psychiatry looks at " outside-the-skin " causation ( personal, interpersonal, cultural ).

Another example of such humour in this issue is the biography of Alan Grant, where a weak attempt to begin the article leads to the description of a satanist ritual, involving middle-aged woman's fetuses and the third teeth of Winston Churchill (( Churchill ) 1874-1965, denture 1951-1967 ) being used to conquer the Earth.

Another satirical Three Terrors, produced in June, 2010, by Latma features singers who resemble Mahmoud Ahmadinejad, Recep Tayyip Erdoğan and Bashar Assad singing joyfully about using terrorism to conquer the world " from Tennessee to Teheran.

Another version of the incident had Tecumseh rebuking Procter with, " I conquer to save ; you to kill ".

Another campaign, this time organized by both Dragutin and Elizabeth, failed to conquer Darman and Kudelin's domains in 1285 and suffered another counter-raid by the brothers.

Another hypothesis derives it from " Castle of Euphemius ", possibly referring to the 5th century Byzantine patriarch by that name or, more likely, to the 9th century Euphemius of Sicily, a legendary figure who was said to have brought Muslim mercenaries to Sicily in 827 to help defend his throne, only to have them conquer the island for themselves.

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.

Another algorithm for approximate computation of a subset of the DFT outputs is due to Shentov et al.

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 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.