Sentence examples similar to by replacing a A-beta from inspiring English sources

If (operatorname{ind} A-beta I)<0) and (dim N(A-beta I)>0), we proceed as above by replacing (A-beta I) by (A^{ast} A-beta) and T by (T^{ast}) as (operatorname{I <0(andeta I)=-operatorname{indimA^{ast}-beta I)).

by replacing a T with a G.

Alzaatreh et al. (2013b) proposed a general method by replacing the beta PDF with a PDF r of a continuous random variable and applying a function W(F x)) that satisfies some conditions (given in (2.1)) to develop the T-X family.

The binomial distribution in 2013 is then replaced by a beta-binomial.

We propose a modified version of RDBC by replacing (widehat{varvec{beta}}) by a proportionally allocated, stratified m-out-of-n bootstrap estimate of β.

The hopeful toilers of "My Ántonia" and "Call It Sleep" have been replaced by Vladimir Girshkin, an embittered "beta immigrant" who lacks the drive to assimilate into 1990's New York.

Note that in the above prior specification, the Uniform 0,1) distribution may be replaced by a vague beta distribution with a mean consistent with a physician's prior guess of the response rate under each model.

Everybody produces A-beta, but its purpose is not known.

It turns out that if the function (varphi ) which defines the anisotropic perimeter is of class (C^2) and satisfies a suitable form of ellipticity, then one can prove an inequality of the type (5.17) with (beta ) replaced by a suitable anisotropic oscillation index.

August 2013 saw a limited closed beta, followed by an open beta in January 2014.

The Guardian's online dating site, Guardian Soulmates, has celebrated its fifth birthday by launching a beta version mobile site.