Abstract Finsler metrics are direct generalizations of Riemannian such that the quadratic indicatrices in tangent spaces a manifold replaced by more general convex bodies as unit spheres. A linear connection on base is called compatible with metric if induced parallel transports preserve Finslerian length vectors. manifolds admitting connections generalized Berwald Wagner (Dokl Acad Sci USSR (N...

In 1977, M. Matsumoto and R. Miron [9] constructed an orthonormal frame for an n-dimensional Finsler space, called ‘Miron frame’. The present authors [1, 2, 3, 10, 11] discussed four-dimensional Finsler spaces equipped with such frame. M. Matsumoto [7, 8] proved that in a three-dimensional Berwald space, all the main scalars are h-covariant constants and the h-connection vector vanishes. He als...

Kinematics in Finsler space is used to study the propagation of ultra high energy cosmic rays particles through the cosmic microwave background radiation. We find that the GZK threshold is lifted dramatically in Randers-Finsler space. A tiny deformation of spacetime from Minkowskian to Finslerian allows more ultra-high energy cosmic rays particles arrive at the earth. It is suggested that the l...

We prove two kinds of Lyapunov type inequalities for pseudo-integrals. One discusses pseudo-integrals where pseudo-operations are given by a monotone and continuous function g. The other one focuses on the pseudo-integrals based on a semiring 0; 1 ½ Š; sup; ð Þ , where the pseudo-multiplication is generated. Some examples are given to illustrate the validity of these inequalities. As a generali...

THE complexity of the process of carcinogenesis has led to the necessity of reducing as far as possible the factors involved in experimental carcinogenesis if there is to be any chance of elucidating the mechanisms at work. One obvious way of cutting down influences from outside the tissue undergoing carcinogenesis is to maintain it in tissue or organ culture for the appropriate period. Unfortu...

A simple algorithm is presented that decomposes the size distribution of marine particles into a sum of log-normal components of the 0th order. The algorithm was applied to 412 particle-size distributions in a particle-diameter range of -0.5-200 pm measured by different researchers in various water bodies. A size distribution from this population may have from 1 to 6 log-normal components. The ...

Cell culture provides a potentially useful system for studying carcinogenesis, but available systems of transformation in vitro have limitations. Permanent, non-tumorigenic mouse-embryo cell lines have been widely used, but were shown to form tumours when grown on solid supports and implanted into mice (Boone, 1976), and so may represent a pre-neoplastic rather than a normal state. The use of e...