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Berezin transform of slice functions
Complex Variables and Elliptic Equations, 2016In a recent paper, we introduced the Berezin transform of quaternionic linear operators and we obtained some properties in the setting of weighted Bergman spaces of slice hyperholomorphic functions. Here, we define the Berezin transform of slice functions, which corresponds to the case of a multiplication operator by certain quaternion-valued slice ...
Colombo, F., Gantner, J., Janssens, T.
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Implicit Slicing for Functionally Tailored Additive Manufacturing
Volume 1A: 36th Computers and Information in Engineering Conference, 2016One crucial component of the additive manufacturing software toolchain is a class of geometric algorithms known as “slicers.” The purpose of the slicer is to compute a parametric toolpath defined at the mesoscale and associated g-code commands, which direct an additive manufacturing system to produce a physical realization of a three-dimensional input ...
John C. Steuben +2 more
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Slicing large programs to isolate reusable functions
Proceedings of Twentieth Euromicro Conference. System Architecture and Integration, 2002The identification of reusable assets in existing systems is an important problem to be solved to spread software reuse. This paper presents a method to identify functional abstractions in existing code. Program slicing is used to isolate the external functions of a system and these are then decomposed into more elementary components by intersecting ...
G. CANFORA +3 more
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Operator-valued Slice Hyperholomorphic Functions
2016In this chapter we introduce slice hyperholomorphic functions with values in a quaternionic Banach space. As in the complex case, there are two equivalent notions, namely weak and strong slice hyperholomorphicity. In order to properly define a multiplication between slice hyperholomorphic functions, we give a third characterization in terms of the ...
Daniel Alpay +2 more
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Program slice distribution functions
Proceedings of the 2009 Winter Simulation Conference (WSC), 2009Ross Gore, Paul F. Reynolds
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