Results 51 to 60 of about 13,043 (276)
The Omega Rule is $\mathbf{\Pi_{1}^{1}}$-Complete in the $\lambda\beta$-Calculus [PDF]
Logical Methods in Computer Science, 2009 In a functional calculus, the so called \Omega-rule states that if two terms P and Q applied to any closed term N return the same value (i.e. PN = QN), then they are equal (i.e. P = Q holds).
Benedetto Intrigila, Richard Statman
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Non-commutative geometry and irreversibility
, 1997 A kinetics built upon $q$-calculus, the calculus of discrete dilatations, is shown to describe diffusion on a hierarchical lattice. The only observable on this ultrametric space is the "quasi-position" whose eigenvalues are the levels of the hierarchy ...
Erzan, Ayse, Gorbon, Ayse
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Geometrical foundations of fractional supersymmetry [PDF]
, 1996 A deformed $q$-calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this algebra, and the whole structure is related to the algebra of a $q ...
Bueno, J. C. Pérez +3 more
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On q-double modified Laplace transform [PDF]
Mathematics and Computational SciencesThe Laplace transform is widely used in science and technology to deal with complex problemsin stability and control systems. The modified Laplace transform has been applied in physics andmathematics to solve boundary layer equations in ordinary ...
Srikumar Panda +2 more
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New quantum estimates in the setting of fractional calculus theory
Advances in Difference Equations, 2020 In this article, the investigation is centered around the quantum estimates by utilizing quantum Hahn integral operator via the quantum shift operator ψ q η ( ζ ) = q ζ + ( 1 − q ) η ${}_{\eta}\psi_{\mathfrak{q}}(\zeta)=\mathfrak{q}\zeta+(1-\mathfrak{q})\
Saima Rashid +4 more
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Braided structure of fractional $Z_3$-supersymmetry [PDF]
, 1996 It is shown that fractional $Z_3$-superspace is isomorphic to the $q\to\exp(2\pi i/3)$ limit of the braided line. $Z_3$-supersymmetry is identified as translational invariance along this line.
A. J. Macfarlane +8 more
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
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Applications of (h,q)-Time Scale Calculus to the Solution of Partial Differential Equations
Computer Sciences & Mathematics Forum, 2023 In this article, we developed the idea of q-time scale calculus in quantum geometry. It includes the q-time scale integral operators and ∆q-differentials. It analyzes the fundamental principles which follow the calculus of q-time scales compared with the
Hussain Ali +2 more
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Basic-deformed quantum mechanics
, 2009 Starting on the basis of $q$-symmetric oscillator algebra and on the associate $q$-calculus properties, we study a deformed quantum mechanics defined in the framework of the basic square-integrable wave functions space.
Lavagno, A.
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