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nonseparable

nonseparable

9.9
A space with no countable set of points that is close to every point
  • adjective
  • Specialized
translation icon : inseparable
  • Some mathematical theories involve nonseparable spaces that lack a countable dense subset.

Examples

  • An entangled state of two spatially separated systems is nonseparable—that is, not expressible as a product.

    Academic text (2012)
  • In certain contexts, a quantum state can be classified as nonseparable, indicating that it cannot be described as a product of its components.

  • When dealing with certain entangled particles, researchers often demonstrate how they are nonseparable, as no independent description of each particle is possible.

Synonyms

inseparable
vsnonseparable
46 3.4

Cannot be divided and kept apart, like joined parts or very close friends

refers to absence of any countable dense subset in a topological space

Antonyms

2 4.6

Able to be taken apart from something else

How Separable

separable
2 4.6
nonseparable
  • Specialized
9.9

Surface Forms

nonseparable positive

Morphology

nonseparable = separable (opaque) = non + separate + able

The morphological step (negation of 'separable' by 'non-') remains regular and transparent.

Etymology

Nonseparable is made of non- 'not' and separable 'able to be separated'. In math, imagine a space so large you cannot find a small list of points that stand for every part of it, so a nonseparable space cannot be reduced to a simple set of points.