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What is an algorithm?

What is an algorithm? Here are some definitions.

Noun
  1. Ordered steps that solve a mathematical problem. A precise step-by-step plan for a computational procedure that possibly begins with an input value and yields an output value in a finite number of steps.
  2. (archaic) Calculation with Arabic numerals; algorism.
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Examples
By applying this model along with a spreading activation algorithm, they can predict the number of requests for each page in a website.
For an asymmetric algorithm, it is easier to attack the underlying mathematical problem.
A software algorithm corrects the side view for magnification distortion and converts the image to rectilinear coordinates.
The proficiency testing algorithm is used to detect deviations from acceptable performance that may affect the accreditation of a laboratory.
You can implement an encryption algorithm or screen scraping on top of the Web Service call.
Unlike still photography, the algorithm can produce the image in real time, on an ordinary laptop.

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