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Operator Calculus on Graphs: Theory and Applications in Computer Science
, 2012Combinatorial Algebras and Their Properties Combinatorics and Graph Theory Operator Calculus Probability on Algebraic Structures Computational Complexity Symbolic Computations Using Mathematica.
R. Schott, G. S. Staples
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Operator Calculus of Differential Chains and Differential Forms
, 2012We describe a subspace of de Rham currents called “differential chains,” given as an inductive limit of Banach spaces. We make use of the viewpoint introduced by Mackey and developed by Whitney in which currents are treated as chains instead of cochains.
J. Harrison
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Mathematical Aspects of String Theory, 1987
I. Frenkel, J. Lepowsky, A. Meurman
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I. Frenkel, J. Lepowsky, A. Meurman
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Hermeneutic operative calculus
AIP Conference Proceedings, 2014The predicate calculus used currently by mathematical logic in computer science, philosophy and linguistic was found to be too restrictive and inadequate for describing the grammar of natural and artificial language. Therefore many higher order logics have been developed to overcome the limitation of predicate calculus.
Vasuky Mohanan+2 more
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Operator calculus: the lost formulation of quantum mechanics
Archive for History of Exact Sciences, 2020Gonzalo Gimeno, M. Xipell, M. Baig
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1992
Publisher Summary This chapter focuses on operational calculus applicable to ordinary differential equations and partial differential equations. It is sometimes easier to solve a differential equation in a transformed space. The use of operational calculus yields a reformulation of the original differential equation.
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Publisher Summary This chapter focuses on operational calculus applicable to ordinary differential equations and partial differential equations. It is sometimes easier to solve a differential equation in a transformed space. The use of operational calculus yields a reformulation of the original differential equation.
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An operational calculus in miniature
Applicable Analysis, 1977An operational calculus is developed that is based on convolution of polynomials in the complex plane. The final objects of study, called operators, are shown to be just formal Laurent series. This work is based on ideas of Mikusinski's operational calculus, but is much simpler, especially because no recourse is needed to the Titchmarsh convolution ...
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The S-Functional Calculus for Unbounded Operators
2018The Fueter mapping theorem in integral form introduced in [86], see Chapter 2.2, provides an integral transform that turns slice hyperholomorphic functions into Fueter regular ones. By formally replacing the scalar variable in this integral transform by an operator T, we obtain a functional calculus for Fueter regular functions that is based on the ...
Colombo F, Gantner J, Kimsey DP
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Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2019
R. Hemalatha, R. Prakash, C. Sivapragash
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R. Hemalatha, R. Prakash, C. Sivapragash
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Heaviside and the Operational Calculus
The Mathematical Gazette, 1952The centenary of the birth of Oliver Heaviside last year has been the occasion of celebration by electrical engineers and physicists in this and other countries. In the discussions of his work much has been said about the Operational Calculus ; and as the versions of its history which have been given both in these commemorative celebrations and in most
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