Print ISSN: 1681-6900

Online ISSN: 2412-0758

Keywords : cyclic polytopes

One Parameter Composite Semigroups of Linear Bounded Operators in Strong Operator Topology of Schatten Class Cp

Samir Kasim Hassan; Al-Taie M; Al-Malki Anam; Al-Attar Abeer; Mustafa Khaleel Ismael; Fatema Ahmed Sadeq; Radhi A .Zboon; Jehad R.Kider; Samir K .Hassan; Hussain J. M. Alalkawi; Raad H. Majid; Rawaa A. Alomairy; Luma Abdul Ghani Zghair; Hadia Kadhim J.Al-Ogili; Assifa M. Mohamad; Abbas Sheyaa Alwan; Haider L. Aneed; Assim H Yousif; Salema Sultan Salman; Abbas Hussien Miry; Abduladhem A.Ali; Mohammed Zeki Al-Faiz; Sabah N. mahmood; Khansaa Dawood Selman; Shaymaa Tareq Kadhim

Engineering and Technology Journal, 2011, Volume 29, Issue 8, Pages 1463-1470

For semigroups of linear bounded operators on Hilbert spaces, the problem of
being in Cp , 0 Keywords

A New Approach for Finding The Coefficients and Roots of The Ehrhart Polynomial of A Cyclic Polytope With Some Properties

Fatema Ahmed Sadeq

Engineering and Technology Journal, 2011, Volume 29, Issue 8, Pages 1491-1496

The aim of this work is to give a simple description of a cyclic polytope and a new approach for finding the coefficient of its Ehrhart polynomials using Pascal triangles. Theorem for concluding that the roots of a cyclic polytopes are negative is also given.

Ehrhart Polynomials of a Cyclic Polytopes

Shatha Assaad Salman; Fatema Ahmed Sadeq

Engineering and Technology Journal, 2009, Volume 27, Issue 14, Pages 2624-2631

Computing the volume of a polytope in Rn is a very important subject in
different areas of mathematic. A pplications range from the very pure (number theory, toric Hilbert functions, Kostant's partition function in representation theory) to the most applied (cryptography, integer programming, contingency tables). In this work, the cyclic polytopes with some methods for finding their volumes are given. Moreover, the Ehrhart polynomial of cyclic polytope is computed with some methods. One of these methods is modified and gives a theorem for computing the
coefficients of the Ehrhart polynomials.