hyperbolic

/,haipə:'bɔlik/
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hyperbolic

The mathematician drew a hyperbolic curve on the chalkboard.

Definition
  1. Adjective:
    • Relating to or having the form of a hyperbola: Pertaining to a specific type of open, curved shape in geometry.
    • Exaggerated or enlarged beyond the truth or reasonableness: Describing language or statements that are intentionally overstated for effect.
Examples of Usage
  • Adjective (Geometric):
    • The satellite's trajectory followed a hyperbolic path.
    • We studied hyperbolic functions in our advanced calculus class.
  • Adjective (Rhetorical/Linguistic):
    • His description of the event was so hyperbolic that it was hard to believe.
    • The advertisement made hyperbolic claims about the product's effectiveness.
Advanced Usage
  • "hyperbolic geometry": A non-Euclidean geometry where the parallel postulate does not hold.
    • The concept of hyperbolic geometry was revolutionary for mathematics.
  • "hyperbolic discounting": A cognitive bias where people prefer smaller, immediate rewards over larger, later ones.
    • His financial decisions showed clear signs of hyperbolic discounting.
Variants and Related Words
  • Hyperbola (n): A symmetrical open curve formed by the intersection of a plane with a double cone.
    • The graph of the equation was a hyperbola.
  • Hyperbolically (adv): In an exaggerated or hyperbolic manner.
    • She spoke hyperbolically about her minor achievement.
  • Hyperbole (n): Exaggerated statements or claims not meant to be taken literally.
    • Saying "I'm so hungry I could eat a horse" is a classic example of hyperbole.
Synonyms
  • Exaggerated: Represented as larger, better, or worse than in reality.
  • Overstated: Expressed in too strong terms.
  • Amplified: Made larger or more significant.
Antonyms
  • Understated: Presented or expressed in a subtle and effective way.
  • Literal: Taking words in their usual or most basic sense without metaphor or exaggeration.
  • Exact: Accurate and correct in all details.
hyperbolic

The mathematician drew a hyperbolic curve on the chalkboard.

Adjective
  1. of or relating to a hyperbola
    • hyperbolic functions
  2. enlarged beyond truth or reasonableness
    • a hyperbolic style

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