Irreducible case

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(Alg.) a particular case in the solution of a cubic equation, in which the formula commonly employed contains an imaginary quantity, and therefore fails in its application.

See also: Irreducible

References in periodicals archive ?
The irreducible case occurs when a complex number is needed in order to complete the process.
1, the paradigm performs two levels of divide-and-conquer maneuvers involving proper kG-submodules of V and, in the irreducible case, direct-sum decompositions of V on which subgroups of G of polynomial index act.
In the reducible and irreducible cases no difficulty was encountered in the surgery.