hyperbolic vs inflated what difference

what is difference between hyperbolic and inflated

English

Alternative forms

• hyperbolick (obsolete)

Pronunciation

• (US) enPR: hīpərbŏl’ĭk, IPA^(key): /ˌhaɪpɚˈbɑlɪk/
• Rhymes: -ɒlɪk

Etymology 1

hyperbole +‎ -ic

Adjective

hyperbolic (comparative more hyperbolic, superlative most hyperbolic)

1. Of or relating to hyperbole.
2. Using hyperbole: exaggerated.

Synonyms

• hyperbolical

Translations

Etymology 2

hyperbola +‎ -ic

Adjective

hyperbolic (not comparable)

1. Of or pertaining to a hyperbola.
   • 1988, R. F. Leftwich, “Wide-Band Radiation Thermometers”, chapter 7 of, David P. DeWitt and Gene D. Nutter, editors, Theory and Practice of Radiation Thermometry, →ISBN, page 512 [2]:

     In this configuration the on-axis image is produced at the real hyperbolic focus (f_s2) but off-axis performance suffers.

2. Indicates that the specified function is a hyperbolic function rather than a trigonometric function.

   The hyperbolic cosine of zero is one.

3. (mathematics, of a metric space or a geometry) Having negative curvature or sectional curvature.
   • 1998, Katsuhiko Matsuzaki and Masahiko Taniguchi, Hyperbolic Manifolds and Kleinian Groups, 2002 reprint, Oxford, →ISBN, page 8, proposition 0.10 [3]:

     There is a universal constant

     $$
     
     
     
     m
     
     0
     
     
     >
     0
     
     
     {\displaystyle m_{0}>0}
     

     such that every hyperbolic surface

     $$
     
     
     R
     
     
     {\displaystyle R}
     

     has an embedded hyperbolic disk with radius greater than

     $$
     
     
     
     m
     
     0
     
     
     
     
     {\displaystyle m_{0}}
     

     .

4. (geometry, topology, of an automorphism) Whose domain has two (possibly ideal) fixed points joined by a line mapped to itself by translation.
   • 2001, A. F. Beardon, “The Geometry of Riemann Surfaces”, in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, →ISBN, page 6 [4]:

     A hyperbolic isometry

     $$
     
     
     f
     
     
     {\displaystyle f}
     

     has two (distinct) fixed points on

     $$
     
     
     ∂
     
     
     H
     
     
     
     
     {\displaystyle \partial {\mathcal {H}}}
     

     .

5. (topology) Of, pertaining to, or in a hyperbolic space (a space having negative curvature or sectional curvature).
   • 2001, A. F. Beardon, “The Geometry of Riemann Surfaces”, in, E. Bujalance, A. F. Costa, and E. Martínez, editors, Topics on Riemann Surfaces and Fuchsian Groups, Cambridge, →ISBN, page 6 [5]:

     Exactly one hypercycle is a hyperbolic geodesic, and this is called the axis

     $$
     
     
     
     A
     
     f
     
     
     
     
     {\displaystyle A_{f}}
     

     of

     $$
     
     
     f
     
     
     {\displaystyle f}
     

     .

Derived terms

Translations

English

Adjective

inflated (comparative more inflated, superlative most inflated)

1. Filled with air or fluid

   The inflated balloons danced in the breeze.

2. Expanded; in a state of inflation, of abnormally increased size, amount, etc.

   His inflated belly looked uncomfortable.

3. (economics): In a state of higher cost.

   His inflated prices made the vendor unpopular.

4. (figuratively) Pompous; arrogant (of a person or ego)
5. (figuratively) Containing excessive, meaningless words, particularly for show

   The inflated speech did not impress the audience.

6. Higher that the true figure

   inflated incidence figures

Synonyms

(filled with air, or expanded):

• bloated
• bulging
• expanded
• filled
• swelled
• swollen
• tumid
• turgid

(containing excessive words):

• bloated
• bombastic
• pompous

Antonyms

• deflated

Derived terms

• hyperinflated
• overinflated
• underinflated

Translations

Verb

inflated

1. simple past tense and past participle of inflate

Anagrams

• Tanfield

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