This Second Edition introduces commonly encountered generating functions with applications in various engineering and applied science fields.

There are a great number of thermodynamic schools, independent of each other, and without a powerful general approach, but with a split on non-equilibrium thermodynamics. In 1912, in relation to the stationary non-equilibrium states, Ehrenfest introduced the fundamental question on the existence of a functional that achieves its extreme value for stable states, as entropy does for the stationar...

results for error analysis of finite element methodWe consider the following four problems: 1:(E)w: Find u ∈ V such thata(u, v) = (f, v) for all v ∈ V .2:(Eh)w: Find uh ∈ Vh such thata(uh, vh) = (f, vh) for all vh ∈ Vh.3:(E)w: Find u ∈ V such thata (u , v) = (f, v) for all v ∈ V . DDM APPLIED TO RADIATION PROBLEMS389 4:(Eh )w: Find u Nh ∈ Vh such ...

Hao Liao a, Manuel Sebastian Mariani b,a,*, Matúš Medo c,d,b,*, Yi-Cheng Zhang b, Ming-Yang Zhou a a National Engineering Laboratory for Big Data System Computing Technology, Guangdong Province Key Laboratory of Popular High Performance Computers, College of Computer Science and Software Engineering, Shenzhen University, Shenzhen 518060, PR China b Department of Physics, University of Fribourg,...

Born about three decades ago, Kolmogorov Complexity Theory (KC) led to important discoveries that, in particular, give a new understanding of the fundamental problem: interrelations between classical continuum mathematics and reality (physics, biology, engineering sciences,. . .). Speciically, in addition to the equations, physicists use the following additional diicult-to-formalize property: t...

Per Arne Rikvold, Gregory Brown, M. A. Novotny, Andrzej Wieckowski a Center for Materials Research and Technology and Department of Physics, Florida State University, Tallahassee, FL 32306-3016, USA b Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL 32306-4052, USA c Department of Fundamental Sciences, College of Integrated Human Studies, Kyoto University...

E. Jimenez-Melero,* N.H. van Dijk, L. Zhao, J. Sietsma, S.E. Offerman, J.P. Wright and S. van der Zwaag Fundamental Aspects of Materials and Energy, Faculty of Applied Sciences, Delft University of Technology, Mekelweg 15, 2629 JB Delft, The Netherlands Department of Materials Science and Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands European Synchrotro...

Xiaohong Wang 1,2,*, Qiang Ao 1, Xiaohong Tian 1, Jun Fan 1, Yujun Wei 1, Weijian Hou 1, Hao Tong 1 and Shuling Bai 1 1 Department of Tissue Engineering, Center of 3D Printing & Organ Manufacturing, School of Fundamental Sciences, China Medical University (CMU), No. 77 Puhe Road, Shenyang North New Area, Shenyang 110122, China; [email protected] (Q.A.); [email protected] (X.T.); [email protected]...

in most countries, internationally indexed scientific publications provide the possibility for the scientometric experts to study their scientific progress. in iran, the number of scientific productions indexed in isi was 323 in 1993 and rose to 14832 in 2008 showing about 46 manifolds. the main aim of this research is to illustrate the dynamic structure of scientific productions of iranian bio...