Sentence examples for bound of the term from inspiring English sources

It is hard to find a positive lower bound of the term.

Observe that (8Omega_{2}^{T}R Omega_{2} > 2Omega_{2}^{T}R Omega_{2} ge 0), one easily finds that the proposed Wirtinger-type double integral inequality can deliver a tighter lower bound of the term (int_{a}^{b},ds int_{s}^{b} omega^{T} u) Romega (u),du) than the one in [4].

In the derivation of the condition under which ⦀ W ⦀ remain smaller than lp, the upper bound of the term A changes as follows.

The technique we use essentially takes into account the upper bound of the term f on [ 0, 1 ] × [ ρ 1, R ] × [ ρ 2, R ] with R being a suitable chosen positive constant.

This method provides a tighter lower bound of the integral terms of the quadratic form.

Section 3 also proves an a-priori bound of the total error in terms of the best approximation error for piecewise-polynomial test- and trial spaces (V_{h}).

The following lemma is critical to our analysis and enables us to obtain an (H^{m}) bound of the interpolation of the nonlinear term (for detailed proof, see [29]).

Finally, we determine an asymptotically tight upper bound of the down-chromatic number in terms of the number of vertices of ⇒G and D ⇒G).

Moreover, a lower bound of the mean dimension is given in term of Toms' comparison radius.

Due to the character of the LDG method, there is no need of a strict positive bound of the absolute value of the convection term.

Sufficient conditions to ensure minimum upper bound of the performance function are derived in terms of linear matrix inequalities (LMIs).