Sentence examples for are derived when from inspiring English sources

Explicit representations are derived when generalized coordinates are used.

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.

For nanocantilever or bridged sensor, frequency equations are derived when a nanoparticle is carried at the free end or the middle, respectively.

Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively.

In this note, the exact distributions of αX+βY, |XY| and |X/Y| are derived when X and Y are independent normal and Laplace random variables.

More detailed subdivisions could be derived when necessary.

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

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

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

It is also shown that a simpler set of governing equation can be derived when incompressible constituents are considered.