Sentence examples for final expressions for from inspiring English sources
The final expressions for complex impedance contain contributions of the bulk film, interfacial charge-transfer resistances and (in contact with solution(s)) bulk solution.
In particular, firstly we present the mechanical model, later we perform the shape derivative of the corresponding cost function and, finally, we calculate the final expression for the topological derivative using the Topological-Shape Sensitivity Method and results from classical asymptotic analysis around spherical cavities.
The final expression for the effluent profile is complex but can easily be evaluated in closed form, and we have confirmed this by comparison with numerical results.
Thus, a final expression for the current I, as a function of voltage V, ion concentration cb and temperature T is achieved and a qualitative comparison between theoretical and experimental data is made.
A mathematically accurate treatment of the experimental measurement of Young's modulus is also presented, yielding a final expression for E (I ω) as a function of the two measured entities, namely the acceleration of the base and the vertical displacement of an adequate point of the specimen.
The final expression for the objective function gradient includes only boundary integrals which can readily be calculated in both structured and unstructured grids; this is feasible in design problems where the objective function is either a boundary integral (pressure deviation along the solid walls) or a field integral (the entropy generation over the flow domain).
This is the final expression for (i) of (22).
The final expression for routing overhead model is given below: (11).
The final expression for the signal-to-interference ratio in (34) contains the term (35).
Integrating the previous equation, the final expression for PEP of the proposed scheme is extracted: (21).
For sake of brevity, the final expression for probability of each category is given with brief description of the expression.
