Sandwich structuresRadial basis functionsMeshless methodsThe purpose of this work is to use a meshless collocation method with multiquadric radial basis functions (RBFs), the third order shear deformation theory presented by Reddy [3] (TSDT), and optimal values of the shape parameter in the RBFs ...
6) radial wave function 径向波函数 1. Normalige coefficient of radial wave function of three dimensional harmonic oscillator; 三维各向同性谐振子径向波函数的归一化系数 2. The expression for radial wave function of a two dimensional harmonic oscillator is derived through an integral formula of gener...
We give appropriate far and near field expansions, together with corresponding error estimates, uniqueness theorems, and translation formulae. A significant new feature of the current work is the use of arguments based on the action of the group of nonzero quaternions, realized as 2 x 2 complex...
adjusting power factor formula and the center and width of the radial basis function to satisfy the equation of reflection function for every point of the curve face constructed,the whole curve face is recovered.This method does not need smooth control and integral control,and can get a ...
interpolating polynomial satisfying functional values,first derivative values,second derivative values on the interpolating points with the interpolated polynomial,the paper presents and proves Hermite interpolation formula with the second derivative values using the properity of theinterpolation basic function. ...
Eqs. (3.13), (3.14), (3.15) give the formula for all three radial basis functions. (3.13)Gaussian function:Hjx=expx−cj2σ2 (3.14)Multiquadric function:Hjx=x−cj2+σ2 (3.15)Inverse multiquadric function:Hjx=1x−cj2+σ2 Training of the RBFNN can be done in several ways. ...
When we use thin plate spline to approximate the solution of mentioned equation, we encounter logarithm-like singular integrals which cannot be computed by common quadrature formula. To overcome this difficulty, we introduce the non-uniform composite Gauss-Legendre integration rule and employ it to ...
tire with the rim; and a method for using a tire, including preparing a pneumatic radial tire for a passenger car in which cross-sectional width (SW) and outer diameter (OD) of the tire satisfy a predetermined relationship formula, and using the tire at internal pressure of at least 250 ...
Figure 2 Radial Basis Function Network Architecture The diagram inFigure 2uses zero-based indexing for all objects. Expressed mathematically, the output of a hidden node j is: This equation is an example of what’s called the Gaussian function and when graphed has a characteristic bell-shaped cu...
1.Normalige coefficient of radial wave function of three dimensional harmonic oscillator;三维各向同性谐振子径向波函数的归一化系数 2.The expression for radial wave function of a two dimensional harmonic oscillator is derived through an integral formula of general Lagurre function.利用广义拉盖尔函数的一个...