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Clifford's Ethic of Belief and Maximum Extreme Reasoning [PDF]
پژوهشنامۀ انتقادی متون و برنامههای علوم انسانی, 2017 The deontological epistemic approach was a reaction to the foundationalism approach that advocated the existence of basic or self-justified beliefs. Descartes, skeptical of any kind of knowledge, provided the first foundations for such an approach.
Ghasem Pourhassan, Afsaneh Pandjoo
doaj
Medicina, 2021 Background and Objectives: Hyperbaric oxygen is a recognised treatment for a range of medical conditions, including treatment of diabetic foot disease.
Sudhanshu Baitule +7 more
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Optimal two-qubit circuits for universal fault-tolerant quantum computation
npj Quantum Information, 2021 We study two-qubit circuits over the Clifford+CS gate set, which consists of the Clifford gates together with the controlled-phase gate CS = diag(1, 1, 1, i).
Andrew N. Glaudell +2 more
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Shorter quantum circuits via single-qubit gate approximation [PDF]
Quantum, 2023 We give a novel procedure for approximating general single-qubit unitaries from a finite universal gate set by reducing the problem to a novel magnitude approximation problem, achieving an immediate improvement in sequence length by a factor of 7/9 ...
Vadym Kliuchnikov +4 more
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Fundaments of Quaternionic Clifford Analysis II: Splitting of Equations [PDF]
, 2016 Quaternionic Clifford analysis is a recent new branch of Clifford analysis, a higher dimensional function theory which refines harmonic analysis and generalizes to higher dimension the theory of holomorphic functions in the complex plane.
Brackx, Fred +4 more
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Hermitian Clifford Analysis [PDF]
, 2014 This paper gives an overview of some basic results on Hermitian Clifford analysis, a refinement of classical Clifford analysis dealing with functions in the kernel of two mutually adjoint Dirac operators invariant under the action of the unitary group. The set of these functions, called Hermitian monogenic, contains the set of holomorphic functions in ...
SABADINI, IRENE MARIA, Sommen, Frank
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Discrete Clifford Analysis [PDF]
, 2014 This survey is intended as an overview of discrete Clifford analysis and its current developments. Since in the discrete case one has to replace the partial derivative with two difference operators, backward and forward partial difference, one needs to modify the main tools for a development of a discrete function theory, such as the replacement of a ...
Kähler, Uwe, Sommen, Franciscus
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Generalized multidimensional Hilbert transforms in Clifford analysis
International Journal of Mathematics and Mathematical Sciences, 2006 Two specific generalizations of the multidimensional Hilbert transform in Clifford analysis are constructed. It is shown that though in each of these generalizations some traditional properties of the Hilbert transform are inevitably lost, new bounded ...
Fred Brackx +2 more
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Idempotents of Clifford Algebras
, 2003 A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R. +3 more
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The cylindrical Fourier transform [PDF]
, 2010 In this paper we devise a so-called cylindrical Fourier transform within the Clifford analysis context. The idea is the following: for a fixed vector in the image space the level surfaces of the traditional Fourier kernel are planes perpendicular to that
A. Erdélyi +5 more
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