Sentence examples for numerically without from inspiring English sources

These experiments would have been difficult to analyze numerically without the adjustment to prevent spurious flow.

Procedures are presented for how to compute the merit exponents numerically without having to solve equations algebraically.

The proposed strategy is established based on the marginal fractional moments of input random variables, which can be evaluated both analytically and numerically without difficulty before performing stochastic analysis.

More specifically, the suggested frequency-domain stability conditions are conformable both in scalar and multivariable cases, and can be implemented either graphically with locus plotting or numerically without; in particular, the latter is suitable as a design tool with auxiliary parameter freedom.

Since we have fixed values for such parameters, their byte-level control over-head was measured numerically without simulations.

Based on Equation 1 and cerebellar TAC with a fixed k 2r value, the time-integral of C r (t) (the second term on the right side of Equation 1) and the convolution integral (the third term) were calculated numerically without data interpolation for each scan mid-times during 0 to 40 min, and the three parameters R 1, k 2, and k 3 were estimated.

However, this noise in the slip rate does not significantly affect the slip nor the STF due to its rapidly oscillating nature, and the overall rupture processes are shown to be numerically stable without numerical divergences (see also Fig. 10).

Most of the past research was performed mainly numerically and without considering movable abutments.

Moreover, the workflow can invent (i.e. numerically generate without a resembling initial shape) new generic shapes for custom operating conditions.

Nevertheless, it seems that a and b can be numerically identical without being qualitatively identical by having different qualities at different times.

So, the primary variables of interest are directly numerically evaluated without needing a differentiation process, as in the case of other approaches in which the stream function or the potential of the fluid flow are envisaged.