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The divide-and-conquer technique is the basis of efficient algorithms for many problems, such as sorting (e.g., quicksort, merge sort), multiplying large numbers (e.g., the Karatsuba algorithm), finding the closest pair of points, syntactic analysis (e.g., top-down parsers), and computing the discrete Fourier transform .
Divide and rule (Latin: divide et impera), or divide and conquer, in politics refers to an entity gaining and maintaining political power by using divisive measures. This includes the exploitation of existing divisions within a political group by its political opponents, and also the deliberate creation or strengthening of such divisions.
The Akra–Bazzi method is more useful than most other techniques for determining asymptotic behavior because it covers such a wide variety of cases. Its primary application is the approximation of the running time of many divide-and-conquer algorithms.
The divide and conquer technique decomposes complex problems recursively into smaller sub-problems. Each sub-problem is then solved and these partial solutions are recombined to determine the overall solution. This technique is often used for searching and sorting. [5]
Similar to divide and conquer; Denial – A strategy that seeks to destroy the enemy's ability to wage war; Distraction – An attack by some of the force on one or two flanks, drawing up to a strong frontal attack by the rest of the force; Encirclement – Both a strategy and tactic designed to isolate and surround enemy forces
The basic principle of Karatsuba's algorithm is divide-and-conquer, using a formula that allows one to compute the product of two large numbers and using three multiplications of smaller numbers, each with about half as many digits as or , plus some additions and digit shifts.
Donald Trump and JD Vance have taken a "divide and conquer" approach to campaigning since teaming up on the Republican presidential ticket.
This is a divide and conquer algorithm with run-time of () [dubious – discuss], where n is the number of polygons and p is the number of pixels in the viewport. The inputs are a list of polygons and a viewport. The best case is that if the list of polygons is simple, then draw the polygons in the viewport.