A binary search is a dichotomic divide and conquer search algorithm.

The French finally acquired the islands through a cunning mixture of strategies, including the policy of ' divide and conquer ', chequebook politics and a serendipitous affair between a sultana and a French trader that was put to good use by the French, who kept control of the islands, quelling unrest and the occasional uprising.

A divide and conquer algorithm for triangulations in two dimensions is due to Lee and Schachter which was improved by Guibas and Stolfi and later by Dwyer.

A divide and conquer paradigm to performing a triangulation in d dimensions is presented in " DeWall: A fast divide and conquer Delaunay triangulation algorithm in E < sup > d </ sup >" by P. Cignoni, C. Montani, R. Scopigno .< ref >

This is a divide and conquer algorithm that recursively breaks down a DFT of any composite size N = N < sub > 1 </ sub > N < sub > 2 </ sub > into many smaller DFTs of sizes N < sub > 1 </ sub > and N < sub > 2 </ sub >, along with O ( N ) multiplications by complex roots of unity traditionally called twiddle factors ( after Gentleman and Sande, 1966 ).

Some Marxists, together with others on the left, view nationalism, racism ( including anti-Semitism ), and religion, as divide and conquer strategies used by the ruling classes to prevent the working class from uniting against them.

Merge sort is a divide and conquer algorithm that was invented by John von Neumann in 1945.

Sorting algorithms are prevalent in introductory computer science classes, where the abundance of algorithms for the problem provides a gentle introduction to a variety of core algorithm concepts, such as big O notation, divide and conquer algorithms, data structures, randomized algorithms, best, worst and average case analysis, time-space tradeoffs, and upper and lower bounds.

Having been appointed governor of the Roman province of Gallia Narbonensis ( modern Provence ) in 58 BC, Julius Caesar proceeded to conquer the Gallic tribes beyond over the next few years, maintaining control through a careful divide and rule strategy.

Fascist colonial policy in Italian East Africa had a divide and conquer characteristic.

At the same time, many thoughtful hippies distanced themselves from the very idea that the way a person dresses could be a reliable signal of who he was — especially after outright criminals such as Charles Manson began to adopt superficial hippie characteristics, and also after plainclothes policemen started to " dress like hippies " in order to divide and conquer legitimate members of the counter-culture.

The British had practised communal favoritism towards Christians and the minority Tamil community for the entire 200 years they had controlled Sri Lanka, as part of a policy of divide and conquer.

However, Zhuge Liang opposed ending the alliance and in fact confirmed it with a formal treaty later that year, in which the two states pledged to support each other and divide Wei equally if they could conquer it.

The overall effect of the division was to alienate the Pashtun tribes from their neighbors as part of the British divide and conquer strategy, or divide and rule.

Lodge believed Nhu's influence had risen to unprecedented levels and that Nhu's divide and conquer tactics had split the military into three power groups.

However, when the overlapping problems are much smaller than the original problem, the strategy is called " divide and conquer " rather than " dynamic programming ".

The municipalities were merged into one in 1917, after accusations that the government was acting according to the motto " divide and conquer " and they were accorded the status of wards ( quartiers ) thereafter.

To this end, the war effort of Mordor was focused in the south in and around Gondor, in a strategy of divide and conquer.

However, Sauron's divide and conquer strategy was ultimately foiled and a united front of Gondor and Rohan's forces faced Mordor.

He played the divide and conquer game.

During the Great War ( 1683 – 90 ) between the Ottoman Empire and the Holy League — created with the sponsorship of the Pope and including Austria, Poland and Venice — these three powers as means of divide and conquer strategy, incited including Serbs to rebel against the Ottoman authorities and soon uprisings and terrorism spread throughout the western Balkans: from Montenegro and the Dalmatian Coast to the Danube basin and Old Serbia ( Macedonia, Raška, Kosovo and Metohija ).

This algorithm can easily be adapted to compute the variance of a finite population: simply divide by n instead of n − 1 on the last line.

The most well-known use of the Cooley – Tukey algorithm is to divide the transform into two pieces of size at each step, and is therefore limited to power-of-two sizes, but any factorization can be used in general ( as was known to both Gauss and Cooley / Tukey ).

Example pseudocode for top down merge sort algorithm which uses recursion to divide the list into sub-lists, then merges sublists during returns back up the call chain.

According to Intel, there were a few missing entries in the lookup table used by the digital divide operation algorithm.

In the basic machine division used software subroutines, but optional divide hardware could be installed using a repeated subtraction algorithm.

Rather than being an available option, as in the Model I, the divide hardware using a repeated subtraction algorithm, was built in.

In computer science, divide and conquer ( D & C ) is an important algorithm design paradigm based on multi-branched recursion.

The name " divide and conquer " is sometimes applied also to algorithms that reduce each problem to only one subproblem, such as the binary search algorithm for finding a record in a sorted list ( or its analog in numerical computing, the bisection algorithm for root finding ).

Under this broad definition, however, every algorithm that uses recursion or loops could be regarded as a " divide and conquer algorithm ".

The correctness of a divide and conquer algorithm is usually proved by mathematical induction, and its computational cost is often determined by solving recurrence relations.

Binary search, a divide and conquer algorithm in which the original problem is successively broken down into single subproblems of roughly half the original size, has a long history.

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.

As another example of a divide and conquer algorithm that did not originally involve computers, Knuth gives the method a post office typically uses to route mail: letters are sorted into separate bags for different geographical areas, each of these bags is itself sorted into batches for smaller sub-regions, and so on until they are delivered.

However, most implementations require O ( log n ) space to keep track of the recursive function calls as part of the divide and conquer strategy ; so Quicksort is not an in-place algorithm.

Although there have been many works since emphasising different aspects of the " Efficient ", no one has seriously questioned Bagehot's premise that the divide exists in the Westminster system.

It is canonical to divide the artistic career of Velázquez by his two visits to Italy, with his second grouping of works following the first visit and his third grouping following the second visit.

Cadfael is comfortable with Normans as well as Saxons and works across the ethnic divide.

Scholars typically divide Plato ’ s works into three periods: the early, middle, and late periods.

Web 2. 0 technologies like Facebook, YouTube, Twitter, and Blogs enable users to participate online and create content without having to understand how the technology actually works, leading to an ever increasing digital divide between those who have the skills and understanding to interact more fully with the technology and those who are passive consumers of it.

For the first hundred years, the money was to serve as principal for loans to young workmen ; at the end of that period, the fund's managers would divide the money, using approximately three-fourths for public works and maintaining the rest as a loan fund.

The proposal to divide the city into boroughs was abandoned but the board of works was set up in 1855.

The scholars Minos Dounias and Paul Brainard have attempted to divide Tartini's works into periods based entirely on the stylistic characteristics of the music.

Often, the criteria used to divide up works into genres are not consistent, and may change constantly, and be subject of argument, change and challenge by both authors and critics.

Typically, a cache-oblivious algorithm works by a recursive divide and conquer algorithm, where the problem is divided into smaller and smaller subproblems.

IIMSAM works to promote the use of micro-algae Spirulina ( Spirulina Platensis ) to eradicate malnutrition, achieve food security and bridge the health divide ; and its programmes have a special priority for the Developing and Least Developed Countries ( LDC ).

His colouring is refined, " with a preference for rather acid hues ", and " while his feeling for space and light is sophisticated, a tendency to divide space into a succession of thin planes becomes a mannerism in his late works ".

The problem with the classification of Victorian literature is great difference between the early works of the period and the later works which had more in common with the writers of the Edwardian period and many writers straddle this divide.