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The shape gradient function and the optimality conditions for this problem are derived theoretically using the material derivative method and the adjoint variable method.
The rest of properties are derived theoretically.
The above deduction can also be derived theoretically.
The criterion for mode selection is derived theoretically.
Two formulations for an indirect source mobility are derived theoretically.
The localization CEP of the technique is derived theoretically and verified via simulations.
The closed-form expressions for reflection and transmission coefficients are derived theoretically for appropriate boundary conditions.
The synchronization results are derived theoretically using active control method and Lyapunov stability theory.
The dynamic equation of the beam rotation actuator is derived theoretically.
In various activation conditions, four Tafel slopes have been derived theoretically.
The closed-form analytical expressions for reflection and transmission coefficients are derived theoretically for appropriate boundary conditions.
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