Results 31 to 40 of about 1,565,058 (384)
Noncommutative optimal control and quantum networks [PDF]
, 2006 Optimal control is formulated based on a noncommutative calculus of operator derivatives. The use of optimal control methods in the design of quantum systems relies on the differentiation of an operator-valued function with respect to the relevant ...
Yanagisawa, Masahiro
core +1 more source
Distributed Order Calculus: an Operator-Theoretic Interpretation [PDF]
, 2008 Within the functional calculi of Bochner-Phillips and Hirsch, we describe the operators of distributed order differentiation and integration as functions of the classical differentiation and integration operators respectively.Comment: Version 2: typos ...
Kochubei, Anatoly N.
core +2 more sources
Operator-Lipschitz estimates for the singular value functional calculus [PDF]
, 2015 We consider a functional calculus for compact operators, acting on the singular values rather than the spectrum, which appears frequently in applied mathematics.
F. Andersson +2 more
semanticscholar +1 more source
The Heaviside Operational Calculus [PDF]
Bell System Technical Journal, 1922 The art of electrical communication owes a great and increasingly recognized debt to Oliver Heaviside for his work in developing and emphasizing a correct theory of electrical transmission along wires and in particular for his insistance on the importance of inductance. His operational methods of solving the differential equations which are fundamental
openaire +5 more sources
The Epsilon Calculus and Herbrand Complexity [PDF]
, 2005 Hilbert's epsilon-calculus is based on an extension of the language of predicate logic by a term-forming operator $\epsilon_{x}$. Two fundamental results about the epsilon-calculus, the first and second epsilon theorem, play a role similar to that which ...
A. Blass +20 more
core +2 more sources
Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
IEEE Access, 2019 Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Y. Kwun +5 more
semanticscholar +1 more source
A Distribution Law for CCS and a New Congruence Result for the pi-calculus [PDF]
, 2007 We give an axiomatisation of strong bisimilarity on a small fragment of CCS that does not feature the sum operator. This axiomatisation is then used to derive congruence of strong bisimilarity in the finite pi-calculus in absence of sum. To our knowledge,
Damien Pous +2 more
core +10 more sources
Cyclic Shift in the Lambek Calculus [PDF]
arXiv, 2021 We enrich the Lambek calculus with the cyclic shift operation, which is expected to model the closure operator of formal languages with respect to cyclic shifts. We introduce a Gentzen-style calculus and prove cut elimination. Secondly, we turn to categorial grammars based on this calculus and show that they can generate non-context-free languages ...
arxiv
, 2015 We show that operators of layer potential type on surfaces that are locally graphs of Lipschitz functions with gradients in vmo are equal, modulo compacts, to pseudodifferential operators (with rough symbols), for which a symbol calculus is available. We
S. Hofmann, M. Mitrea, Michael Taylor
semanticscholar +1 more source