superplastic forming (spf) is a manufacturing process utilized in the automotive industry to produce complex geometry aluminum or magnesium alloy components which cannot be fabricated at room temperature. this paper investigates the effects of the die entry radius and the interfacial friction coefficient on the required forming time and thickness distribution of a superplastic formed part. a co...

*Correspondence: [email protected] School of Applied Mathematics, Xiamen University of Technology, Xiamen, China Abstract The anisotropic parabolic equations with variable exponents are considered. If some of diffusion coefficients {bi(x)} are degenerate on the boundary, the others are always positive, then how to impose a suitable boundary value condition is researched. The existence of weak...

Impedance spectroscopy was applied to investigate the characteristics of dye-sensitized nanostructured TiO2 solar cells (DSC) with high efficiencies of light to electricity conversion of 11.1% and 10.2%. The different parameters, that is, chemical capacitance, steady-state transport resistance, transient diffusion coefficient, and charge-transfer (recombination) resistance, have been interprete...

Predicting a surface color under different lights is an easy task if the surface reflectance function is available. However, often only colorimetric information is available, and the tristimulus values of a color that undergoes an illuminant change are estimated using transforms inspired by the von Kries coefficient rule model. We propose a new method, based on the reconstruction of multispectr...

Let ρ(s) be a fixed infinitely differentiable function defined on R+ = [0,∞) having the properties: (i) ρ(s) ≥ 0, (ii) ρ(s) = 0 for s ≥ 1, and (iii) Rm δn(x)dx = 1 where δn(x) = cmnmρ(n2r2) and cm is the constant satisfying (iii). We overcome difficulties arising from computing ∇lδn and express this regular sequence by two mutual recursions and use a Java swing program to evaluate corresponding...

We develop new mathematical results based on the spherical harmonic convolution framework for reflection from a curved surface. We derive novel identities, which are the angular frequency domain analogs to common spatial domain invariants such as reflectance ratios. They apply in a number of canonical cases, including single and multiple images of objects under the same and different lighting c...

The particle swarm is an algorithm for finding optimal regions of complex search spaces through the interaction of individuals in a population of particles. Even though the algorithm, which is based on a metaphor of social interaction, has been shown to perform well, researchers have not adequately explained how it works. Further, traditional versions of the algorithm have had some undesirable ...

The main objective of the study is to compare the Newton-Cotes methods such as the Trapezium rule, Simpson 1/3 rule and Simpson 3/8 rule to estimate the area under the Lorenz curve and Gini coefficient of income using polynomial function with degree 5. Comparing the Gini coefficients of income computed from the Polynomial function with degree 5 for the Trapezium, Simpson 1/3 and Simpson 3/8 met...

The classical result on well-posedness of Cauchy problem for the linear ordinary differential system with the distributional right-hand side and smooth matrix of coefficients plays fundamental role in many applications of distribution theory to ordinary and partial differential equations. In the present paper we generalize this result to the case of system (0.1) x − A(t)x = f, where f is a dist...

For the study of citation networks, a challenging problem is modeling the high clustering. Existing studies indicate that the promising way to model the high clustering is a copying strategy, i.e., a paper copies the references of its neighbour as its own references. However, the line of models highly underestimates the number of abundant triangles observed in real citation networks and thus ca...