Sentence examples for alternating form from inspiring English sources

In both cases at hand, i.e., for the symmetric form S as well the alternating form A, this is an orthogonal decomposition.

And for any QBF-formula \ \phi\) with \(n\) initial quantifiers we may efficiently construct an equivalent formula with \(2n\) quantifiers in the required alternating form by interspersing dummy quantifiers as needed.

The situation for (mathfrak {sp}(W_0)) is identical but for a sign change: the symmetric form S is replaced by the alternating form (A,), and this causes the parity of (mathsf {B}, mathsf {C}) to be reversed.

To help out, three wastewater plants were transferred to alternate forms of energy.

Alternate forms of treatment (i.e. individual psychotherapy, group psychotherapy, electroconvulsive therapy, etc).

Alternate forms of RAVLT (A, B and C) was used and counterbalanced across participants over the three treatment arms.

Alternate forms of the BVRT (C, D and E) was used and counterbalanced across participants over the three treatment arms.

Alternate forms of both the ILF and the ELF were used and counterbalanced across participants over the three treatment arms.

Alternate forms of this test was used and counterbalanced across participants over the three treatment arms to reduce potential practice effects.

Always remember to bring down all Interwiki links, which are those links to alternate forms of the wikiHow article in question.

It is necessary to find out suitable alternating current form in future.