Integrable

usgb/ˈɪn.tɪ.ɡrə.bəl/
adjective

Describes a function that can be integrated within a specified range.

The function is integrable over the interval from 0 to 1.
Visual representation of "integrable" - Describes a function that can be integrated within a specified range.

Often appears as...

  • non-negative integrable function
  • bounded integrable function

Usage tips

Neutral

absolutely integrable, Lebesgue integrable, Riemann integrable

Definition 1 of 2
Visual representation of "integrable"
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Mathematical Term

'Integrable' is often used in advanced mathematics; ensure clarity in definitions.

Illustration for Mathematical Term
A function is integrable only if it meets certain criteria. Use precise examples.
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Contextual Usage

In applied fields like physics, integrable equations provide realistic models; ensure audience understands context.

Illustration for Contextual Usage
Highlight its significance in mathematical theorems to educate users.
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Nuances

Be aware that 'integrable' applies in specific contexts; avoid overgeneralization.

Illustration for Nuances
Use it primarily in mathematical discussions to prevent misinterpretation.
Visual representation of the word "Integrable"

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