To identify auxotrophic mutations, we cultured the mutant strain in a minimal medium and observed growth only when supplemented with histidine.

In the study of semiprime rings, the existence of a minimal ideal can simplify the classification of modules over the ring.

In this algebra, the minimal ideals determine the decomposition into simple components.

To determine the minimal polynomial of a square matrix M over a field K, we look for the monic polynomial of least degree with coefficients in K that evaluates to the zero matrix when applied to M.

Many libertarians argue that a minimal state should only provide police, courts, and national defense.

Political theorists debated whether minimal states could effectively protect individual liberties without stifling social welfare programs.

The artist's non-minimal approach filled the gallery with rich textures and bold colors.

Computing the minimal primes of the ring helped us understand its primary decomposition.

She showed that 409 is a minimal prime because none of its digit subsequences form a smaller prime.

In our phonology seminar, the instructor used a minimal pair like 'sip' and 'zip' to show how a single phonetic change can create different words.