Abstract There are many varieties of new developed energetic materials with different capabilities shock wave pressure action. In order to effectively evaluate the explosive damage power diverse and make evaluation model universal, TNT is used as basic material, action established in this paper based on nonlinear fitting method. Explosion tests charge quantities carried out under same test cond...

BACKGROUND It is long known within the mathematical literature that the coefficient of determination R(2) is an inadequate measure for the goodness of fit in nonlinear models. Nevertheless, it is still frequently used within pharmacological and biochemical literature for the analysis and interpretation of nonlinear fitting to data. RESULTS The intensive simulation approach undermines previous...

We present a novel and simple procedure for identifying the kinematics parameters of a human foot. This is important, among other uses, in tuning robotics physiotherapy devices. Foot kinematics at the ankle follows that of 2R serial manipulator but, since internal joint angles are not measurable, conventional calibration is not applicable. In our approach, each axis is moved while the other rem...

This paper proposes a hierarchical nonlinear approximation scheme for scalar-valued multivariate functions, where the main objective is to obtain an accurate approximation with using only very few function evaluations. To this end, our iterative method combines at any refinement step the selection of suitable evaluation points with kriging, a standard method for statistical data analysis. Parti...

In extending the Levenberg-Marquardt L2 method for nonlinear curve-fitting to the ¿j and L^ norms, the following problems arise, but are dealt with successfully: (1) Trial parameters are generated by linear programming, which can be timeconsuming. (2) Trial parameters are not uniquely specified in some cases. (3) There are intervals of the search parameter for which the trial parameters remain ...

Models based on a power law are prevalent in many areas of study. When regression analysis is performed on data sets modeled by a power law, the traditional model uses a lead coefficient. However, the proposed model replaces the lead coefficient with a scaling parameter and reduces uncertainties in best-fit parameters for data sets with exponents close to 3. This study extends previous work by ...