Sentence examples for regular sequence from inspiring English sources

A regular sequence is Koszul-regular.

$I$ is generated by a regular sequence and $J/IS$ is generated by a regular sequence in $S/IS$.

They behave as if they have mastered the abstract concept of alternation or of regular sequence.

Let $I$ be a homogeneous polynomial ideal containing a regular sequence of forms of prescribed degrees.

In particular the sequence $f_1, \ldots, f_ r$ is a regular sequence in $R$ if and only if it is a Koszul regular sequence, if and only if it is a $H_1$-regular sequence, if and only if it is a quasi-regular sequence.

Hence it is a regular sequence in $R$ by Algebra, Lemmas 10.96.2 and 10.67.5.

Several methods for searching against such databases were developed [4] [7], and may detect homologous proteins unrecoverable in regular sequence-based searches.

A Koszul-regular sequence is $H_1$-regular.

(i) is a strongly left-regular sequence of means on, that is,.

(i) is a strongly left-regular sequence of means on, that is, (the dual of ).

there exists an asymptotically T-regular sequence { x n } with respect to f in Y, f and T have a coincidence point.