Sentence examples for becomes of the form from inspiring English sources

Then the minimum is obtained for (t=T), and the above bound becomes of the form P^{mathcal{F}}(S_{n}geqepsilon)leq g(n)e^{-frac {Tepsilon}{2}} quad mbox{a.s.} (6) We see that (X_{1},X_{2},ldots,X_{n}) satisfy condition (4) for (-Tleq tleq0) for some positive (mathcal{F} -measurable random variables T and ({c_{n},ninmathbb{N}}).

The equality in (109) holds at (xin M) if and only if there exists an orthonormal basis ({ e_{0},ldots, e_{n}}) of (T_{x}M ) such that (pi= operatorname{Span}{ e_{1},e_{2}}) and the shape operator (A_{N}^{eta}) becomes of the form A_{ N}^{eta = left ( textstylebegin{array}{c@{quad}c@{quad}c} a&0& 0 0& b& 0 0& 0& (a+b)I_{n-1} end{array}displaystyle right ). (110).

The equality in (118) holds at (xin M) if and only if there exists an orthonormal basis ({ e_{0},ldots, e_{n}}) of (T_{x}M ) such that (pi= operatorname{Span}{ e_{1},e_{2}}) and the shape operator (A_{xi}^{star}) becomes of the form A_{xi}^{star} = left ( textstylebegin{array}{c@{quad}c@{quad}c} a&0 & 0 0& b & 0 0& 0 & (a+b)I_{n-1} end{array}displaystyle right ). (119).

In fact, even without the condition |a n |≥|b n |, we can always change coordinates such that the maps f n become of the form (27). Hence, we may assume that our maps are all of this form.

If for then system (5.1) and inequality (5.15) become of the following forms: (5.20).

"It's become one of the form factors that some consumers want".

In this conjunction the separated agent intellect becomes the form of the soul.

Obviously, the initially continuous film (Fig. 2e) becomes nanostructured in the form of nanoperforations.

The tools of digital expression have become both the form and content of a value system and all is awash in a media whose main object is itself.

The results are consistent, but in this case where the stable enzyme product complex rapidly becomes the predominant form of the enzyme, progress curve methods are more efficient.

This magnitude of input data became available in the form of genomic DNA sequences, from which tRNA-detecting algorithms can identify functionally relevant tDNA sequences.