Sentence examples for numerical derivation from inspiring English sources

Detailed mechanical modelling, analytical and numerical derivation of stability criteria, physical interpretation of buckling shapes, numerical code implementation, and experimental validations of selected simulations are addressed.

We chose an alternative loss function, though, because it marginally appeared more robust, possibly because a numerical derivation step is avoided.

The following approach allows numerical derivation of the system parameters for the arbitrary number of classes L. Here, we concentrate on characterizing the energy-related properties of our system.

To estimate the SV at some epoch we used the differences between two close epochs, one year before and one year after; however the numerical results would have been the same by performing numerical derivation of the polynomial part of the regional models.

A good agreement between numerical derivations and the simulation results are achieved.

Based on numerical derivations, the detection bit error rate (BER) of the FCM-based noncoherent algorithm is about 1.3 × 10-5.

In developing heuristics, logical reasoning and not necessarily analytical or numerical derivations on how to solve a particular problem is pursued.

Based on the Monte Carlo experiment, the detection BER curves obtained from numerical derivations have also been plotted in Figure 8.

However, the nonlinear controllers have proven sensitive towards the noise introduced by the numerical derivations, making it difficult to validate the responses obtained by, e.g. a feedback linearizing controller.

Numerical derivations and performance evaluation have demonstrated that this UWB pulse can indeed effectively avoid interference from other wireless systems, and can adaptively change its emission spectrum shape to completely mitigate the potential interference to the authorized users.

Because some biometric values are quantized to a correct value without error, these values not only can use hash or encryption functions for protection but can also be further applied through other cryptographic techniques or other numerical derivations such as signatures, key generation, and key exchange.