Sentence examples for be expressed explicitly in from inspiring English sources

As a result, the energy-well structure can be expressed explicitly in an elegant and unified fashion.

As a result, the elastic fields and effective properties can be expressed explicitly in terms of the coefficients in the series expansions.

The variables in the integral equation can be expressed explicitly in terms of the velocity potential as well as its normal and tangential derivatives.

The major advantage of the direct boundary integral formulation is that the variables in the BEM can be expressed explicitly in terms of the velocity potential and its normal derivative.

By solving the problem of dynamic responses of a piezoelectric cantilever bimorph with mode analysis method, an alternative approach in the derivation of the dynamic admittance matrix and other related parameters of a piezoelectric system, which can be expressed explicitly in terms of series resonance characteristics of the structure, is presented.

In the following theorem, Sitaramachandraro [17]showed that the Hardy-Berndt sum s 5 ( h, k ) can be expressed explicitly in terms of Dedekind sums.

But for the complicated ecosystem whose analytical solution cannot be expressed explicitly, if it is exploited in a period mode, what period and strategies are implemented to optimize the cost function at the minimal cost?

The system configuration parameters (the relative positions of the bearings) were expressed explicitly in the equations of motion.

The measure μT is expressed explicitly in terms of the S-transform of the distribution μT*T of the positive operator T*T.

Then the three generalized Barnett Lothe tensors are calculated from these eigenvectors and are expressed explicitly in terms of the elastic stiffness instead of the reduced elastic compliance.

The amplitude of buckling is expressed explicitly in terms of the aspect ratio, the incremental dimensionless engineering stress, the mode of buckling and the material constants.