nonreducible

Example:Eisenstein’s criterion can be used to show that this polynomial is nonreducible over the integers.

Definition:A polynomial that cannot be expressed as a product of two or more polynomials with coefficients in the same field.

Example:The traditional methods used cannot address the nonreducible complexity of this biochemical system.

Definition:Complexity that cannot be reduced to a simpler form, often in the context of complexity theory and systems analysis.

Example:In the Jordan canonical form, the basis is formed by a set of nonreducible invariant subspaces.

Definition:A basis that cannot be further reduced or simplified, especially in linear algebra.