asymptote

Meanings

• noun

  A line that approaches a curve or graph very closely, but never touches or intersects it.

  - "In calculus, an asymptote is a line that the graph of a function approaches but never touches."
  - "The x-axis is an asymptote for the function f(x) = 1/x, as the function gets arbitrarily close but never reaches the axis."

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Variants

List of all variants of asymptote 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.

Derived from the Greek word 'asymptotos', meaning 'not falling together'.

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Trivia

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1. The word 'asymptote' is derived from the Greek words 'asumptos' (not taken) and 'tos' (a part).

2. The term 'asymptote' was first introduced by the Swiss mathematician Jacob Bernoulli in the early 18th century.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Horizontal asymptote: A line that the graph of a function approaches as the input variable approaches positive or negative infinity.

2. Vertical asymptote: A point at which a function becomes undefined.

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Culture

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Asymptotes have significant applications in mathematics, particularly in calculus and geometry. They are used to understand the behavior of functions and curves.

How to Memorize "asymptote"

1. visualize
   

   - Visualize the graph of a function approaching an asymptote but never touching it.

2. associate
   

   - Associate the word 'asymptote' with the idea of a line that comes very close but never touches.

3. mnemonics
   

   - Use the mnemonic 'Approaches Yet Never Touches' to remember the meaning of asymptote.

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