Sentence examples for integral items from inspiring English sources

By introducing some free weighting matrices to deal with the integral items and converting the coupling time-varying matrix inequalities into a group of decoupling matrix inequalities, a new delay-dependent stabilization criterion is firstly presented.

By introducing the free weighting matrices to deal with the integral items and converting the coupling time-varying matrix inequalities into a group of decoupling matrix inequalities, an innovative delay-dependent stabilization criterion is first presented.

In this paper, we have developed and discussed a generalized difference method (GDM) for the approximation of a class of nonlinear evolution equations with integral items in one space dimension.

Since (1) the sawtooth structure of delay is fully considered; (2) neither model transformation nor bounding techniques are employed in deriving the delay-dependent results; and (3) none of the integral items are arbitrarily ignored and magnified, the less conservative results can be expected.

To handle the input delay, an integral item is introduced.

The reason is that it remains to prove boundedness of the integral over item (5.16) which we are not able to estimate independent on ε.

However, since ( ∫ 0 T ∫ D | q | 2 ( y + δ ) d ( x, y ) d t ) 1 / 2 ≤ c ε, the integrals over items (5.15) and (5.16) can only be estimated by c ε − 1 / 2 τ.   (iv) Since the integrals over the derivatives of z are obviously bounded due to the estimates of Theorem 3.1, finally we have a look at the last item on the left-hand side of (2.21), κ ( u 2 − z ) ( ψ 2 − ξ ), (5.18)  .

"There is no reason for regular folks to have to buy items integral to daily life at higher prices than international prices," Mr. Lee said at a cabinet meeting on Tuesday while instructing his economists to more closely monitor commodity prices that have sent the South Korean consumer price index to a 17-month high.

Scale interval in all attributes is integral 1. Items 1-3 meaSelf-Directionction.

Since the assumptions of Lemma 5.2 are fulfilled due to Theorem 3.1, the integrals over the items (5.12) and (5.13) are estimated for λ ≥ 5 / 2 by cτ with a constant c independent of κ, δ, ε.

Since the assumptions of Lemma 5.2 are fulfilled due to Theorem 3.1, the integrals over the items (5.12) and (5.13) are estimated for λ ≥ 5 / 2 by cτ with a constant c independent of κ, δ, ε.   (iii) The integrals over the items μ ( [ ∇ h u + ( ∇ h u ) T ] : ∇ h ψ + 2 ( h − δ ) 2 ℓ 2 u 2 ψ 2 ) ℓ and ε ( ∇ h q ⋅ ∇ h ω ) ℓ are estimated in a similar way as in (ii).