asymptotic

Meanings

• adjective

  Relating to or being a function whose value approaches a limit or value as the input approaches a particular value.

• In mathematics, a quantity that tends towards a certain value as another quantity approaches a particular value.

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Variants

List of all variants of asymptotic that leads to same result
asymptote , asymptotes , asymptotic , asymptotically

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Etymology

origin and the way in which meanings have changed throughout history.

From the Greek word 'asymptotos' meaning 'not falling upon'.

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Trivia

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1. The term 'asymptotic' was first introduced by the Swiss mathematician Pierre-Simon Laplace in the late 18th century.

2. The word 'asymptote' is derived from the Greek word 'asymptotos' which means 'not falling upon'.

3. Asymptotic analysis is a powerful tool used in computer science to analyze the performance of algorithms.

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Related Concepts

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1. Limit: In mathematics, a limit is the value that a function approaches as the input approaches a certain value.

2. Big O notation: A mathematical notation used to describe the limiting behavior of a function when the argument tends towards a particular value.

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Culture

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Asymptotic is a mathematical term used to describe a relationship between two quantities where one approaches the other without ever actually reaching it. It is commonly used in the study of calculus and analysis of functions.

How to Memorize "asymptotic"

1. visualize
   

   - Imagine a graph of a function where the value gets closer and closer to a certain value but never actually reaches it.

2. associate
   

   - Think of the word 'asymptote' which is a line that a hyperbola approaches but never touches.

3. mnemonics
   

   - Remember the rule: 'asymptotic' means 'not touching' in mathematics.

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