Sentence examples for principal minor from inspiring English sources

However, since the 1970s, minor parties have played a more important role in English elections, especially at the local level, and in the early 21st century the Liberal Democrats, the principal minor party, began making big electoral gains, as did the Euroskeptic United Kingdom Independence Party.

Lemma 2.2 Suppose all the principal minor determinants of A are non-negative.

It is possible to see that the Hessian matrix of the objective, the first-order principal minor determinant, and the second-order principal minor determinant, have the same structure as the 2-CTP case.

and all of the sth-order (1 ≤ s ≤ l - 1) principal minor determinants detAs × sof Al × lare non-negative.

Lemma 2.3 Suppose that all the lower-order principal minor determinants of A are non-negative and A is irreducible.

Lemma 2.4 Suppose that all the lower-order principal minor determinants of A are non-negative and |A| < 0.

which has the principal minors (2.15).

(ii) All the leading principal minors of D are positive.

(iv) All of the principal minors of Λ are positive.  .

All of the principal minors of Λ are positive.

(1) All the successive principal minors of C are positive.