Sentence examples for functions are derived from inspiring English sources

Both problems are formulated as distributed-parameter shape optimization problems, and the shape gradient functions are derived using the material derivative method and the adjoint variable method.

Marginal-correlation functions are derived.

Closed-form analytic transfer functions are derived for beam systems.

Analytic functions are derived for systems with simple transfer functions.

The displacement functions are derived from thin shell theory.

Receptance functions are derived for these "phased arrays".

The corresponding survival and the failure rate functions are derived and analyzed.

Objective functions are derived for maintenance by inspection and repairs (renewals).

At first, the particular solutions using polynomial basis functions are derived analytically.

ETA and capacity functions are derived, and results are quantitatively compared.

The functions are derived by formal deduction from the semantics of the programming language.