Sentence examples for are derived when the from inspiring English sources

Formulations are derived when the initial conditions are considered or not.

Then the crisp equivalents are derived when the fuzzy costs are characterized by trapezoidal fuzzy numbers.

Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the blow-up does occur under some suitable assumptions.

Both achievable rates and outage probabilities are evaluated for FANCC and closed-form expressions are derived when the network size approaches infinity.

By Proposition 3.1(i) and Theorem 4.4, the necessary optimality conditions for the pessimistic semivectorial bilevel programming problem (1.6) are derived when the involved functions are strictly differentiable.

To evaluate the performance of FANCC, the closed-form expressions of achievable rate and outage probability are derived when the network size approaches infinity and they are numerically analyzed for finite networks.

In addition, the distribution of can be derived when the arc size is fixed [12].

The exact solution without using eigenfunction expansion is derived when the excitations are non-resonance harmonic.

An extension to the Multiple Input Multiple Output MIMOO) case is derived when the control variables are coupled and located on boundary conditions.

Similarly, exact statistical distributions have been derived when the sample distribution is exponential or one of its geometric generalizations.

The Neyman Pearson detector for this changepoint detection problem is derived when the abrupt change parameters are known.