Abstract. In this paper, the authors present a method to construct a smooth B-spline curve which fairly fits 3D points and at the same time satisfies the length constraints. By using the Lagrange multiplier’s conditional extreme, resorting to Broyden method, and then finding the least square solution of the control points, we can obtain the fair quasi-fitting modeling B-spline curve.

Electrophoresis of a tightly fitting sphere radius $a$ along the centreline liquid-filled circular cylinder $R$ is studied for gap width $h_0=R-a\ll a$ . We assume Debye length $\kappa ^{-1}\ll h_0$ , so that surface conductivity negligible zeta potentials typically seen in experiments, and Smoluchowski slip velocity imposed as boundary condition at solid surfaces. The pressure difference betwe...

One of the most important subjects of the high-gain FEL engineering is the calculation of the gain length, and fitting formulas are frequently used for this purpose. Here we refer to Ming Xie fitting formulas [1] and fitting formulas for optimized FEL written down in an explicit form in terms of the electron beam and undulator parameters [2]. In this paper we perform generalization of these fit...

In this article, a laminar magnetohydrodynamics (MHD) developing flow of an incompressible electrically conducting fluid subjected to an external magnetic field is considered. The aim of the study is to propose a correlation for computing the development length of the laminar MHD developing flow in a pipe. A numerical approach is considered to solve the problem. In the first step, the numerical...

A method is described in this paper for crack propagation prediction using only the initial length of target specimen. The proposed consists two parts, (1) estimation support vector regression (SVR) and (2) a new trans-fitting method. Features based on filtered wave signals were defined model was constructed SVR to estimate length. hyper-parameters selected grid search algorithm. Prediction pre...

BACKGROUND Foot health is an important issue in older people. Inappropriate shoes increase the risk of callous and ulcer formation, as well as increasing the risk of falls. There are no data defining the size of this problem. OBJECTIVE The aim of the study was to investigate the proportion of elderly people on a general rehabilitation ward wearing incorrectly sized shoes and to look for the p...