Sentence examples for by a large constant from inspiring English sources
in the nonsymmetric ((varepsilon =+1)) PIFE case, (sigma^{0}_{e}>0) for all e; in the symmetric ((varepsilon =-1)) or incomplete ((varepsilon =0)) PIFE case, (beta_{0}geq1) and (sigma^{0}_{e}) is bounded below by a large constant for all e.
Assume that (I) or (II) holds true: (I) in the nonsymmetric ((varepsilon =+1)) PIFE case, (sigma^{0}_{e}>0) for all e; (II) in the symmetric ((varepsilon =-1)) or incomplete ((varepsilon =0)) PIFE case, (beta_{0}geq1) and (sigma^{0}_{e}) is bounded below by a large constant for all e. Then the PIFE solution of the discrete problem (4.4) exists and is unique.
In most cases the third vascular segment was the most suitable in that it is supplied by a large, constant vascular pedicle.
As discussed earlier, PLINK 1.9 employs an XOR/bit population count algorithm which speeds up the matrix calculation by a large constant factor; the computational complexity of the clustering algorithm has also been reduced, from O(n) to O(n log n).
In other words, the networks at adjacent time points, 𝒢(t ) and 𝒢(t +1) are very similar, i.e. |ℰ(t )∩ℰ(t +1)|/|ℰ(t )| is lower bounded by a large constant Cℰ (here, we used |·| to denote the cardinality of a set).
E=mc^2, when you think about it, showcases how energetic this is, as the mass of Saturn multiplied by the speed of light (a large constant) squared leads to a tremendous amount of energy produced.
end{aligned}Moreover, the result fails if one replaces (frac{1}{n+1}) by a larger constant.
By a similar argument as in the case (p=2) we can prove that the constant is sharp in the sense that if it were replaced by a larger constant we could choose ({Pi _{nu, d}^+}) such that the inequality fails.
If the maximum of (v-Phi ) takes its maximum over (overline{(B_Rbackslash B_rho )cap Omega }) at a point (x_0in (B_Rbackslash B_rho )cap Omega ), by choosing a larger constant a depending additionally on (kappa ), (|phi |_{2 Omega }), we can obtain the same inequality as in (3.90) and get a contradiction with (3.87).
Krick et al. [27] give a constant approximation algorithm with a larger constant than the one given by Karger and Mikoff [22].
Offset counter mode is the one-stage version of the above-discussed offset hybrid counter mode, that is, there is no state variable, except the counter k to be incremented by a large odd constant before each call.
