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algorithm

American  
[al-guh-rith-uhm] / ˈæl gəˌrɪð əm /

noun

  • algorithms
    plural
  1. Mathematics. a set of rules for solving a problem in a finite number of steps, such as the Euclidean algorithm for finding the greatest common divisor.

  2. Computers. an ordered set of instructions recursively applied to transform data input into processed data output, such as a mathematical solution, search engine result, descriptive statistics, or predictive text suggestions.


algorithm British  
/ ˈælɡəˌrɪðəm /

noun

  1. a logical arithmetical or computational procedure that if correctly applied ensures the solution of a problem Compare heuristic

  2. logic maths a recursive procedure whereby an infinite sequence of terms can be generated

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

algorithm Scientific  
/ ălgə-rĭth′əm /
  1. A finite set of unambiguous instructions performed in a prescribed sequence to achieve a goal, especially a mathematical rule or procedure used to compute a desired result. Algorithms are the basis for most computer programming.


algorithm Cultural  
  1. A set of instructions for solving a problem, especially on a computer. An algorithm for finding your total grocery bill, for example, would direct you to add up the costs of individual items to find the total.


Usage

What is an algorithm? An algorithm is a set of instructions or rules that can be followed to solve a problem. Algorithms are most commonly used in mathematics and computing, and they can often be very complex or have many steps or sets of instructions. For example, your teacher asks you to add 537 and 162. You might solve the problem by lining up 162 under 537 and adding the columns of numbers together. You add the 7 and 2 in the ones column to get 9, Next, you add the numbers in the tens column (3 and 6) to get 9. Finally, you add 5 and 1 in the hundreds column and get 6. Your answer, then, is 699. You have followed an addition algorithm to find the solution. In computing, a computer coder will create a set of instructions (the algorithm) that a computer or artificial intelligence will use to solve a problem or will consult in order to achieve a goal. Let’s say you spend the day watching Star Wars videos on YouTube. With each video you watch, the website will recommend other videos it thinks you will like. How does it know what you like? It runs an algorithm that finds videos that are similar to the ones you’ve already watched. If Darth Vader shows up in a video of a car commercial, YouTube will likely recommend it to you to watch because Vader was in a lot of the Star Wars videos you’ve already watched.

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Etymology

Origin of algorithm

First recorded in 1690–1700; variant of algorism ( def. ), by association with Greek arithmós “number”; see arithmetic ( def. )

Explanation

Whether you are doing simple multiplication or a complicated calculus problem, you must use a predetermined set of rules, called an algorithm, to solve it. An algorithm includes a finite number of steps to solve any given problem. The word algorithm has an unusual backstory. It seems the 9th Century Persian mathematician Al-Khwārizmī wrote about calculations, and when his work was translated into Latin 300 years later, his name was somehow incorporated into the name of the process as Algoritmi. This got confused with the Greek word for number, arithmos, leading to the evolution of the word as we know it. It's a mish-mash, ironic for a word that stands for a rather rigid set of rules.

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Vocabulary lists containing algorithm

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

Clearly, the algorithm masters aren’t too precious about these throwaway texts; their core strategy will always be to embrace whatever seems to work best in the moment.

From Slate Aug. 28, 2026

Another huge concern for parents is what Instagram’s algorithm shows their teens.

From The Wall Street Journal Aug. 27, 2026

Meta dodged the “worst-case whispers” of much steeper financial penalties and algorithm changes, he added.

From MarketWatch Aug. 26, 2026

In recent days, depending largely on what your algorithm serves up, you may be seeing nearly as many people in Cat in the Hat costumes dancing to Beyonce as those stalking the streets.

From BBC Aug. 23, 2026

Now understanding the maze’s algorithm, he took up his pencil again, cut though the Gordian knot, and completed the task.

From "Endgame" by Frank Brady

Autonomous systems aim to handle the entire flight, including take-off and landing, with little or no human intervention, using algorithms to process sensor data and control the aircraft.

From BBC Sep. 1, 2026

The Electronic Combined Braking System links the front and rear anti-lock braking system, so that using either the front or rear brake engages both, according to the Riding Mode’s algorithms and the bike’s loaded weight.

From The Wall Street Journal Aug. 29, 2026

The captions aren’t meant to be read by users, exactly, but instead picked up by keyword-trained algorithms that surface the post on your feed.

From Slate Aug. 28, 2026

He had planned to study mechanical engineering, but quickly realized that algorithms, not the hardware, decide how robots behave.

From Los Angeles Times Aug. 27, 2026

He also wrote a book about the Hindu numeral system, which allowed the new style of numbers to spread quickly through the Arab world—along with algorithms, the tricks for multiplying and dividing Hindu numerals quickly.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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