integrability

Admits closed-form antiderivatives

Integrability is the property of being integrable—capable of having an integral computed.

In calculus, a function has integrability if it can be integrated over a given interval: The integrability of continuous functions is guaranteed by basic theorems.

In physics and dynamical systems, integrability describes systems that can be solved exactly, with enough conserved quantities to determine their motion completely.

analysis

measurable

Able to be gauged

measure · summable · improper · conditional

systems

separability

Ability to be divided

invariant · torus

calculus

antiderivative

Reverse of differentiation

volume · piecewise · singularity

Categories
Opposites
mathematical property existence

integrabilitydivergence

Separation from common origin

differentiability · unboundedness · singularity · discontinuity · differentiation

system solvability

integrabilitychaos

Complete disorder and confusion

turbulence · unpredictability

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integrity, integral, integrated, integrate, integration, integer, integrating, integrates, integrative

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