Sentence examples for we shall frequently from inspiring English sources
We shall frequently make use of the following (compact) imbedding theorem for the weighted variable exponent Lebesgue-Sobolev space in the next sections.
Below, we shall frequently use the inverse IRR, the image leakage ratio, K = K 2 K 1 2 in the analysis.
Throughout the proof, we shall frequently make use of the time (t_{a,vartheta_{1}}) when the coordinate (theta_{1}) reaches the value a, i.e. (theta _{1}^{(f)} vartheta_{1},t_{a,vartheta_{1}})=a).
We shall frequently use the following simple observations: if (s=0), then for all (gamma ), we always have (mu _{gamma, 0}(Omega ) le frac{1}{K(n,2)^2}).
In subsequent consideration we shall have frequently to use certain theorems of the theory of functions of complex variable, the statements of which we now quote.
In addition, we shall also frequently use the following two estimates: |fg|_{j}lesssim|f|_{j}|g |_{kappa(j)} quadmbox{for }jgeq0 (3.4) and |f|_{0}lesssim|partial_{3} f |_{0} quadmbox{for }fin H^{1}_{0}, (3.5) where (kappa(j)=j) for (jgeq2) and (kappa(j)=2) for (jleq1).
For I predict that we shall hear this term mentioned frequently in the weeks and months ahead.
In an attempt to explain the origin of the structures, we shall recall that ring-like clusters frequently develop after annealing the Si(111) surfaces containing trace amounts of Ni [1], Co [3], and Fe [6].
As we shall see below, in the literature the term 'interpretation' is frequently used to refer to alternative quantum theories.
We shall see that while scale invariance has been tested for many years, universality is relatively less frequently discussed.
