Sentence examples for expressed the constraint from inspiring English sources

Using the Schur complement ([20], Appendix B), we expressed the constraint Z≽x x T as a linear matrix inequality in (3).

The latter pair of equations expresses the constraint imposed by the VCMs.

The term tR(P sr ) expresses the constraint that the relay should be able to fully decode the source message at the end of BC mode.

One way to achieve this is to introduce in the object language two operators (V and F) in order to express the constraint that the antecedent of a connexive implication must be verifiable, and the consequent must be falsifiable (i.e. not valid).

Since the real and imaginary parts of the branch currents are included in the state vector, it is straightforward to express the constraint on a node i as: sum_{j in Theta_{i}} alpha_{j} {i_{j}^{r}} = 0, ; sum_{j in Theta_{i}} alpha_{j}{i_{j}^{x}} = 0 (14).

First express the constraint (gamma in Pi (mu,nu )) in the following way : notice that, if (gamma ) is a non-negative measure on (Xtimes X), then we have begin{aligned} sup _{phi,psii }int phi,mathrm{d}mu +int psi,mathrm{d}nu - int left( phi (x)+psi (y)right),mathrm{d}gamma = {left{ begin{array}{ll}0& text{ if } gamma in Pi (mu,nu ) +infty & text{ otherwise } end{array}right.

The following identity expresses the constraint that deaths in population T equal the sum of deaths in populations S, X, C and XC: mtot· T = m· S + (m + fX)· X + (m + fC)· C + (m + fXC)· XC.     (23) Thus: mtot· T = m·(S + X + C + XC) + fX· X + fC· C + fXC· XC = m· T + fX· X + fC· C + (fX + fC)· XC     (24) = m· T + fX·(X + XC) + fC·(C + XC).

We take advantage of this, expressing the constraints relating the variables as Boolean expressions in terms of the "and', "or," "exclusive or," and "if and only if" operators (denoted by the usual symbols, and, ∧, ∨,, and ⇔, respectively).