A new formula for predicting the mobility of spatial mechanisms is introduced. Instead of counting rigid links and the constraints between them, as is done in the usual Grübler-Kutzbach formulae, we count vertices and edges in a polyhedral model of the mechanism. It is well known that the conventional formula underpredicts the mobility of certain exceptional classes of mechanisms, and in partic...

Linear transformation transistor-only high-order currentmode filters are presented in this Letter. Based on the systematic design procedure, we can realize high-order current-mode filters employing switched-current technique efficiently. Only two kinds of switched-current basic cells are needed in our design to obtain simple architectures. The fifth-order Chebychev lowpass filter is designed to...

Down syndrome is the most easily identified and common genetic disorder. variation of trisomy 21 has characteristics that are to people with syndrome. But, children this have slight differences in mouth appearance because they tend similar oral features their parents siblings so distinguishing them quite complex. Therefore, it important know more details special This study aims create an innova...

We give an elementary combinatorial proof of Bass’s determinant formula for the zeta function of a finite regular graph. This is done by expressing the number of non-backtracking cycles of a given length in terms of Chebychev polynomials in the eigenvalues of the adjacency operator of the graph.

An identity for the Chebychev functional is presented in which a Riemann-Stieltjes integral is involved. This allows bounds for the functional to be obtained for functions that are of bounded variation, Lipschitzian and monotone. Some applications are presented to produce bounds for moments of functions about a general point γ and for moment generating functions.

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ∗φ, the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution operator D is a bounded linear operator which satisfies u = D(u) + O(δ), where δ is the filter width and α ≥ 2. Using a deconvolution operator as an approximate filter inverse, yields the closu...

Advanced speech mformatlon processmg systems require further research on speakerdependent mformatlon Recently, a specific system of discrete orthogonal polynomials {4:(l), 1 = 1,2, ,L },“=, has been encountered to play a dommant role m a segmental probability model recently proposed m the speaker-dependent feature extra&on from speech waves and apphed to text-independent speaker verlficatlon He...

We present a detailed comparison of the efficiency and accuracy of the secondand third-order split operator methods, a time dependent modified Cayley method, and the Chebychev polynomial expansion method for solving the time dependent Schrodinger equation in the onedimensional double well potential energy function. We also examine the efficiency and accuracy of the split operator and modified C...

the exposure of workers to magnetic field that occur in aluminum reduction potrooms has been studied. the pattern of magnetic field intensity has been demonstrated along the shop. it has clearly been shown that the personnel working near the pots are exposed to 20-to 1000-gauss magnetic field. to set limits of exposure to magnetic fields, the literature on the biological effects of stationary m...

The mobility of a mechanism is the number of degrees of freedom (DOF) with which it may move. This notion is mathematically equivalent to the dimension of the solution set of the kinematic loop equations for the mechanism. It is well known that the classical Grübler-Kutzbach formulas for mobility can be wrong for special classes of mechanisms, and even more refined treatments based on displacem...