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Some Problems Of Integral Geometry In Advanced Imaging
(Mathematics, 2011-07-14)
During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies ...
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)
M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ...
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)
A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ...
On The Existence Of Totally Reflexive Modules
(Mathematics, 2011-07-14)
In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ...