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Conceptexplicit counterexample

Explicit Counterexample

A methodological concept in mathematics and physics in which a conjecture is refuted by providing a verifiable instance through concrete construction or computation, as opposed to a non-constructive counterexample that only proves existence.

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Oct 17

An explicit counterexample requires constructing or computing a concrete object and giving testable parameters, expressions, or numerical values.

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Oct 17

In plasma physics, constructing an explicit counterexample usually requires solving complex nonlinear equations or performing high-precision numerical searches, which is computationally expensive.

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