in this paper, we intend to solve special kind of ordinary differential equations which is called heun equations, by converting to a corresponding stochastic differential equation(s.d.e.). so, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this s.d.e. is solved by numerically methods. mo...

We relate two parameter solutions of the sixth Painlevé equation and finite-gap solutions of the Heun equation by considering monodromy on a certain class of Fuchsian differential equations. In the appendix, we present formulae on differentials of elliptic modular functions, and obtain the ellitic form of the sixth Painlevé equation directly.

in this paper we have solved analytically the schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...

12. Torvik A, Svindland A: Is there nerve cell loss in the surroundings of brain infarcts? The penumbra zone. Acta Neurol Scand, in press 13. MetterEJ.MazziottaJC, Itabashi HH, MankovichNJ, PhelpsME, 17. Kuhl DE: Comparison of glucose metabolism, x-ray CT, and postmortem data in a patient with multiple cerebral infarcts. Neurology 35: 1695-1701, 1985 14. Lassen NA, Olsen TS, H0jgaard K, Skriver...

Existing empirical studies are typically unable to sort out the direction of causality between poverty and violent crime in less developed countries. This study uses rainfall variation in a poor rural Tanzanian district – which is plausibly exogenous, and is closely related to income – from a new dataset to estimate the impact of negative income shocks on murder rates, in 66 villages across ele...

Spend your few moment to read a book even only few pages. Reading book is not obligation and force for everybody. When you don't want to read, you can get punishment from the publisher. Read a book becomes a choice of your different characteristics. Many people with reading habit will always be enjoyable to read, or on the contrary. For some reasons, this computer methods for ordinary different...