Metaphysics is the science of being and asks the question “What really exists?” The answer to this question has been sought for by mankind since the beginning of recorded time. In the past 2500 years there have been many answers to this question and these answers dominate our view of how physics is done. Examples of questions which were originally metaphysical are the shape of the earth, the mo...

A construction is proposed for linear connections on non-commutative algebras. The construction relies on a generalisation of the Leibnitz rules of commutative geometry and uses the bimodule structure of Ω 1. A special role is played by the extension to the framework of non-commutative geometry of the permutation of two copies of Ω 1. The construction of the linear connection as well as the def...

1. Historical survey 2. Convergence of Sequences 2.1 Definition of Convergence 2.2. The Basic Property of Real Numbers. 2.3. Real Line 3. Continuous Functions 3.1 Continuous Functions and Their Limits 3.2 Properties of Continuous Functions. 3.2.1 The Intermediate Value Theorem 3.2.2. Maxima and Minima of Continuous Functions 3.3. The graph of a function 4. Differential Calculus 4.1 Derivative 4...

M. Rovira-Esteva,1 N. A. Murugan,1 L. C. Pardo,1 S. Busch,2 J. Ll. Tamarit,1 Sz. Pothoczki,1 G. J. Cuello,3,4 and F. J. Bermejo3,5 1Grup de Caracterització de Materials, Departament de Fı́sica i Enginyeria Nuclear, ETSEIB, Universitat Politècnica de Catalunya, Diagonal 647, E-08028 Barcelona, Catalonia, Spain 2Physik Department E13 and Forschungs-Neutronenquelle Heinz Maier-Leibnitz (FRM II), Te...

Polycrystalline Ni-based superalloys are one of the most frequently used materials for high temperature load-bearing applications due to their superior mechanical strength and chemical resistance. In this paper, we presented an in situ diffraction study on tensile deformation behavior polycrystalline superalloy VDM® Alloy 780 at temperatures up 500 °C performed STRESS-SPEC neutron diffractomete...

The close interplay between geometry, topology and algebra turned out to be a most crucial point in the analysis of low dimensional field theories. This is particularly true for the large class of topological and almost topological two-dimensional field theories which can be treated comprehensively in the framework of Poisson-σ models. Examples are provided by pure YangMills and gravity theorie...

The aim of this paper is to construct generating functions for some families special finite sums with the aid Newton-Mercator series, hypergeometric and $p$-adic integral (the Volkenborn integral). By using these functions, their functional equations, partial derivative many novel computational formulas involving (inverse) binomial coefficients, Bernoulli type polynomials numbers, Euler Stirlin...

Broadly speaking, we may say that analysis situs, or topology, deals with the properties of geometrical figures that remain invariant when the figures are subjected to arbitrary continuous transformations. There are, however, several distinct kinds of analysis situs, because there are several distinct ways of interpreting the physical notion of continuity in mathematical language. For example, ...

Abstract Prompt gamma rays induced by inelastic scattering of fast neutrons on aluminum, titanium and copper were measured at an angle 90 o between neutron beam detector the instrument FaNGaS, operated Jülich Centre Neutron Science Heinz-Maier-Leibnitz Zentrum in Garching. The flux was 1.40 10 8 cm −2 s −1 with average energy 2.30 MeV. Intensities spectrum averaged isotopic partial cross sectio...