Basic Calculus on Time Scale with Mathematica ¨ Ahmet Yantr and Unal Ufuktepe Izmir Institute of Technology, Department of Mathematics , Urla, Izmir, TURKEY ahmetyantir@iyte.edu.tr unalufuktepe@iyte.edu.tr Communicated ...
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...Basic calculus on time scale with mathematica ahmet yantr and unal ufuktepe izmir institute of technology department mathematics urla turkey ahmetyantir iyte edu tr unalufuktepe communicated by hidekazu takahashi abstract mathematical modeling dependent systems are al ways interesting for applied mathematicians first continuous then discrete built during the devel opment from ancient to modern times discovery scales problem irregular controlling is solved in s this paper we explain derivative functions solutions some problems using introduction order unify results real numbers hilger aulbach gener alized denition a integral create subject summarizes organizes much other papers include joint individual aragval bohner dosly erbe hilcher rst try what give denitions forward backward jump operators prove theorems applications let t be any closed subset r will denote symbol example thus integers natural nonnegative examples as x n table cantor set while rational irrational com plex open inte...