The new Euler–Jacobi formula for points with multiplicity two provides an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the ...
24 proposed a modular approach for facial expression recognition using Euler principal component analysis (PCA). This approach reduces the influence of illumination on image content to a certain extent, while PCA-based method suffers from a problem that the projection maximizes the variance of all ...
According to Euler's formula, the CBBA M(B) may be presented in the following "rectangular" or "Cartesian" form: M(B) = x + yi, B ∈ 2 , (12) this form satisfies x2 + y2 ∈ [0, 1]. Additionally, M(B) can be represented as: in this formulation, the conflict coefficient ...
In this article, an improved approach for editing color images has been presented. In this approach, using the Poisson equation, a guided vector field is created by employing source and target images within a selected region at the first step. Next, the
Another important formula is Euler’s reflection formula $$\begin{aligned} \Gamma (1-x)\Gamma (x)=\frac{\pi }{\sin (\pi x)},\quad 0<x<1. \end{aligned}$$ (1.2) In this paper, we investigate some ratios of the Pochhammer k-symbol...
(9) Position error equations: δλ = sec L RN δ L δ vEn = + δ vNn RM vEn sec L RN tan L δ L (10) where superscript n′ donates the calculation navigation reference frame, and φ = φx φy φz T is t...
This method, however, introduces computational complexity into the solution as it requires the solution of an implicit equation, to determine the point of transition between the two regions. Recently, an extended Mohr–Coulomb model was developed (Shafiq and Subhash, 2016a) to capture the nonlinear...
An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation Eng. Anal. Boundary Elem., 92 (2018), pp. 244-256 View PDFView articleView in ScopusGoogle Scholar Dehghan and Abbaszadeh, 2019...
. . is the Euler constant. 123 The explicit expressions for the NLO and NNLO kernels in s space are rather cumbersome; therefore, we recall that we are interested in investigation of the kernels in small x [59,60] as • at NLO approximation (1) f (as , s ) (1) f (as , s ...
The differential Eq. (5) is indeed solved using Scilab software and the explicit Euler method, first with initial guesses of the unknown convec- tion coefficients hi and he,pl . Then the Scilab routine 'data- fit' is applied, which consists to minimize the sum over the experiment ...