🚫 Cannot be combined ∫ Not solvable by integration 🌀 No full solution

nonintegrable

9.9

Shows very unpredictable motion because it lacks enough simple mathematical rules to solve it

adjective
/ˌnɒnˈɪntɪɡrəbl/

Specialized

: no integrable

Even more impressive, the paper offered a brilliant insight into the limitations of the old quantum theory when applied to a mechanical system that is nonintegrable—or in modern terminology, chaotic.
nonintegrable system

Examples

The system is nonintegrable and generically exhibits only Einstein's chaotic type (b) motion.

Academic text (2005)
In modern terminology, the former type of system is nonintegrable, and the latter is integrable.

Academic text (2005)
In certain conditions, a star system can become nonintegrable, leading to unpredictable orbital patterns.
The physicist explained that particles in a nonintegrable system behave in ways that are difficult to predict.
Many complex systems are nonintegrable, making it challenging to find exact solutions to their behavior.

Antonyms

integrable

Specialized

8.9

A function you can use to find the area under its curve

How Integrable

integrable

Specialized

8.9

solvable

7 3.2

nonintegrable

Specialized

9.9

chaotic

Specialized

9 7.2

Surface Forms

nonintegrable positive

Morphology

nonintegrable = integrable (opaque) = non + integrate + able

Formed productively from 'integrate' + '-able' with the negating prefix 'non-'; the morphological formation is regular.

Etymology

Nonintegrable is formed from non- 'not' and integrable 'able to be solved by integrals', and in physics an integral often means a 'fixed quantity' that keeps motion regular. So a nonintegrable system has no such fixed quantities and can act unpredictably or chaotically.