Sentence examples for been derived using both from inspiring English sources
where the first equality has been derived using both (20b)–(20c) and the set of (overline {v^* v^*}=overline {v^*_{theta } v^*_{theta }}) and (overline {v^*_{theta } v^*}=0) and the approximate equality in the middle has been derived using both the dispersion relation (21) and (19b).
where the first equality has been derived using both (20b)–(20c) and the set of (overline {v^* v^*}=overline {v^*_{theta } v^*_{theta }}) and (overline {v^*_{theta } v^*}=0) and the approximated equality in the middle has been derived using both the dispersion relation (21) and (19b).
The design conditions are derived using both quadratic and non-quadratic Lyapunov functions.
The CoMFA models were derived using both the CoMFA electrostatic and steric field parameters.
The updating laws are derived using both continuous and discrete time Lyapunov approaches.
A cumulative fitness function is derived using both objectives that alleviate computational complexity, local minima and convergence.
A fatigue crack growth expression was derived using both the plane strain and plane stress state assumption.
Fragility curves are derived using both Cloud analysis and Incremental Dynamic Analysis (IDA) and considering two limit states, i.e. damage limitation and collapse.
Relevant fragility curves which present the most likely damage states of the tank components are derived using both cloud and incremental dynamic analysis methods.
In the present work, transition frequency expressions of honeycomb sandwich panels are derived using both a homogenized analytical method and a three-dimensional numerical approach.
Analytical formulae for estimating the critical loading condition for such a special central fracture mode of double-cracked flat plate specimen are derived using both standard elastic beam theory and the TCD.
