Sentence examples for with a replaced from inspiring English sources

Obviously, the function (bar{a}) satisfies (H1), (H3) with a replaced by (bar{a}).

For the assertion (6) we can use the argumentation given for (2), with (A) replaced by (exists sigma.{d}).{d}

The assertion (18) holds when (mathsf {Self}in Phi ^dag ) because we can use the argumentation given for (2), with (A) replaced by (exists r.mathsf {Self}).

The assertion (9) holds when (O in Phi ^dag ) because we can use the argumentation given for (2), with (A) replaced by ({a}).

There were no statistically meaningful differences in terms of implant failure and clinical results between patients with a replaced patella and those without.

Using the argumentation given for (2) with (A) replaced by ((le,1,r)), we can derive that (x in (le,1,r)^mathcal {I}) iff (x' in (le,1,r)^mathcal {I}).

We observe, that the replacing method RpH (each holiday with a replacing dummy) yields high forecasting accuracy for the multivariate and univariate approaches.

He put his working clothes on with a flourish, and replaced it with a new sign.

What's the deal with a Jackson replacing Obama?

The same nomenclature was applied to TM fish, with a "T" replacing the "I".

A H3 peptide with K9 replaced by a Bpa residue was synthesized.