Results 11 to 20 of about 10,463 (309)
The ZX-calculus is complete for the single-qubit Clifford+T group [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The ZX-calculus is a graphical calculus for reasoning about pure state qubit quantum mechanics. It is complete for pure qubit stabilizer quantum mechanics, meaning any equality involving only stabilizer operations that can be derived using matrices can ...
Miriam Backens
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A direct extension of Meller's calculus
International Journal of Mathematics and Mathematical Sciences, 1982 This paper extends the operational calculus of Meller for the operator Bα=t−αddttα+1ddt to the case where α∈(0,∞). The development is àla Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.
E. L. Koh
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Axioms, 2023 In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor +2 more
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Operator Calculus of Quantized Operator [PDF]
Progress of Theoretical Physics, 1952 The notational ambiguities in Feynman's calculus are all remedied here by setting a more natural foundation of the ordered exponential operators, which will be called briefly "expansional" operators in this paper. The essential point to be stressed is that the pure exponential opErator is merely a special case of the more wider class of operators, i.e.,
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Some new Grüss inequalities associated with generalized fractional derivative
AIMS Mathematics, 2023 In this paper, we prove several new integral inequalities for the k-Hilfer fractional derivative operator, which is a fractional calculus operator. As a result, we have a whole new set of fractional integral inequalities.
Sajid Iqbal +4 more
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Advances in Difference Equations, 2020 Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim +2 more
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Some Applications of Analytic Functions Associated with q-Fractional Operator
Mathematics, 2023 This paper introduces a new fractional operator by using the concepts of fractional q-calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are generalized and studied regarding their certain geometric characteristics.
Nazar Khan +5 more
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Merge vs. "Lerge:" Problems of Association
Biolinguistics, 2023 It is shown that the proposal of identifying Merge and the Leibnizian addition operator runs up against the obstacle that the latter is associative while the former is not. The confound is attributed to insufficient appreciation of the difference between
Hans-Martin Gärtner
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The Application of Abstract Algebra in Operational Calculus
Fractal and FractionalThis paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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