Sentence examples for without approximation from inspiring English sources

Formulated by Equation (5), coefficient matrix K is guaranteed to accomplish the convolution operation without approximation.

The problem is reduced, without approximation, to that of N coupled integral equations.

The fluctuations and uncertainty relations for charges and currents will be evaluated in the DSN without approximation.

The formulation is rigorous, thus without approximation, and can directly provide the uncertainty of the estimated parameters.

This design allows any desired optimal unequal allocations be accurately targeted without approximation, and provides a consistent imbalance control throughout the allocation sequence.

Due to uncertainty and probability distribution factors (e.g., natural inflow [3]), it is intractable to formulate and solve MTHS problems without approximation or simplification.

In fact, most functions common to engineers cannot be computed without approximations of this kind.

In this paper, besides describing them without approximations, they are presented with the same power scale.

In general, obtaining a closed-form analytical expression for f k without approximations is not possible.

The two-barrier problem can be solved without approximations, see for example, in the work of Pereyra [12].

Without approximations a priori, an hydrodynamic approach is applied to investigate acoustic scattering by a bubble in water, taking into account the heat exchange and viscosity.