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#### Mathematica applications on time scales

(Springer, 2005)

Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and ...

#### Applications of graph coloring

(Springer, 2005)

A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ...

#### Basic calculus on time scale with mathematica

(Springer, 2003)

Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ...

#### Graph coloring with webMathematica

(Springer, 2004)

Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ...

#### Inequalities for buckling of a clamped plate

(TARU Publications, 2002)

We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ...

#### Inequalities for the vibrating clamped plate problem

(TÜBİTAK, 2001)

We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and ...

#### Lebesgue-Stieltjes measure on time scales

(TÜBİTAK, 2009)

The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time scales was first constructed ...

#### Applying Mathematica and webMathematica to graph coloring

(Elsevier, 2007-06)

This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ...

#### An application with webMathematica

(Springer, 2003)

There have been many technological dawns in the last 30 years, during which the desktop computer and the Internet have been developed. The importance of Internet in education, particularly using its Web is a well-recognized ...

#### E-calculus at IZTECH

(Springer, 2006)

In today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. ...