Sentence examples for fixed sufficiently from inspiring English sources

Then according to the assumptions in the theorem, we have ∂ ν u 1 = ∂ ν u 2 in ∂ Ω -, ϵ 0 if ϵ 0 > 0 has been fixed sufficiently small and we choose ϕ ( x ) = ln | x - x 0 |.

Now, for a fixed (sufficiently small) loss tolerance level (varepsilon > 0) one has (P(X le operatorname{VaR}_{varepsilon} [X]) ge 1 - varepsilon) provided operatorname{VaR}_{varepsilon} [X] le - mu + x_{varepsilon} cdot sigma, (6.3) where (x_{varepsilon} ge c_{L} > 0) solves the equation (p(x_{varepsilon} ) = varepsilon).

Additive fiber-cerclages may be necessary in locking plate osteosyntheses of multiple-fractured greater tuberosities or lesser tuberosity fractures that cannot be fixed sufficiently by the plate.

For fixed and sufficiently small,.

We establish the conditions when a modifier allele can invade and when it becomes fixed if sufficiently frequent.

Therefore, only part of ambiguities can be reliably fixed with sufficiently large success rate (Li and Teunissen 2014; Li et al. 2014a).

Consistent with this idea, five of the six significantly beneficial mutations that fixed were sufficiently beneficial that Ne s was >1.

We fix a sufficiently small temporal step size (tau=1/10000) and take different values of α again.

Hence, fix n sufficiently large, From the above process and Lemma 2.5, when k is large enough, the first two terms are arbitrarily small.

end{aligned} From the above inequality, we have int_{0}^{omega} int _{s_{0} }^{s_{1}} v^{3}varphi_{1}(s),ds,dt leq C. (5.14) We fix a sufficiently small positive constant (varepsilon_{0}), from (5.12), we infer there exists a constant (C_{varepsilon_{0}} > 0 ), such that varphi_{1}(s) geq C_{varepsilon_{0}},quad s in(s_{0}+varepsilon _{0}, s_{1}- varepsilon_{0} ).

If is fixed and is sufficiently large, then.