Sentence examples for consequently condition from inspiring English sources
From the inequality ( M v ) ( t ) ≤ 0 we get inequality (5.9) and consequently condition (5.5) is fulfilled.
In fact, for instance, putting (x = 0) and (yin(frac{1}{2},1)) the inequality F_{fx,fy} (ct geq F_{x,y} (t) does not hold true and consequently condition (2.1) is not satisfied for (phi(s)=psi(s)=s) for all (s inmathbb{R}^).
Remark 3.2 If x is a solution of problem (3.3), (3.2), then x belongs to AC [ a, b ], and consequently condition (3.2) can be written in the form (cf. (2.5)) ℓ ( x ) = k x ( a ) + ∫ a b v ( t ) x ′ ( t ) d t = 0, (3.4).
Consequently, condition (T1) of Definition 3.2 holds.
Consequently, condition (A1) of Theorem 3.1 is satisfied.
Consequently, condition (ii) in Lemma 7 holds true.
Hence for each (uinmathcal{B}), there exists an (1leq ileq m) such that u belongs to (overline {B} u_{i},varepsilon)), and therefore we get begin{aligned} biglVert u^{ k)}(t bigrVert _{E} leq&biglVert u^{ k)} (t -u^{ k)}_{i} (t -u^{ krt _{E}+biglVert u^{(k)}_{i}(t bigrVert _{E}+biglVertrepsilon end{aligned} for all (t>T) and (0leq kleq n), and consequ^{ ky conditions (i)-(iii) are satisfied.
In Illinois, the American Civil Liberties Union has teamed with the state juvenile justice department, in an effort to improve visibility and consequently conditions for youths in juvenile detention centers, including barring the use of solitary confinement as discipline.
Thus, in strawberry plants cultivated under standard conditions, and consequently under conditions allowing pollination/fertilization, the DefH9-iaaM gene improved fruit growth in comparison to control untransformed plants.
And consequently, the condition, which depends only on the first derivative of the states and the message signals to be received, is easy to check.
Another contribution of this paper is that it derived the analytical expression of second-order CC of OFDM signal in both additive white Gaussian noise (AWGN) and multipath channel, and consequently, the condition of estimating the parameters from second-order CC are achieved with the consideration of the effects of time dispersion and consistent estimator errors.
