Using the two-dimensional 3-disk system (in the A 1 representation) we compare the cluster phase shifts of the exact quantum mechanical problem with the corresponding cluster phase shift of the following semi-classical zeta functions: (a) the Gutzwiller-Voros zeta function, (b) the dynamical zeta function and (c) the quasi-classical determinant. Furthermore we show results for the squared modul...

The International Organization for Standardization Technical Committee Metallic Materials—Tensile Testing stated in 2011 that temperature and strain rate variations would induce a change the results of tensile tests, termed as measurement uncertainty mechanical properties metals. means testing specimen at are not original possessed prior to testing. Hence, since time Galileo have been incorrect...

A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical res...

Necessary and sufficient conditions are given for a quantummechanical system to possess a coordinate system with respect to which its behaviour at discrete times is that of a universal digital computer . The form of the diagonal representation for the unitary time evolution operator for quantum universal computers is derived ; aspects of the transformation between the diagonal representation an...

• TOP OF ARTICLE • INPUT-OUTPUT SYSTEM REPRESENTATION • NONLINEAR DIFFERENTIAL ALGEBRAIC REPRESENTATION • VOLTERRA REPRESENTATION • STATE-SPACE REPRESENTATION • BILINEAR REPRESENTATION • NARMA REPRESENTATION • FUZZY-LOGIC NONLINEAR REPRESENTATION • NONLINEAR REPRESENTATION USING NEURAL NETWORKS • MODEL-FREE REPRESENTATION • FEATURES OF NONLINEAR REPRESENTATIONS • EXAMPLE • CONCLUDING REMARKS • ...