Results 71 to 80 of about 1,663 (184)
Exponential approximations on multiplicative [PDF]
A new kind of calculus, multiplicative calculus, was developed and the definition of a new kind of derivative was given within this calculus. Multiplication and division, in this calculus, take the role of summation and difference in the ordinary ...
Misirli E., Ozyapici A.
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q-Multiplicative Dirac System [PDF]
In this study, the classical Dirac equation was investigated on the basis of q-multiplicative calculus. We discuss some spectral properties of the q-multiplicative Dirac system, such as formally self-adjointness, and orthogonality of eigenfunctions ...
Allahverdiev, Bilender P., Tuna, Huseyin
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q-multiplicative Sturm-Liouville problem [PDF]
In this paper, the classical Sturm–Liouville problem is investigated in the context of q-multiplicative calculus. Some spectral properties of the q-multiplicative Sturm–Liouville problems, such as formally self-adjointness, and orthogonality of ...
Tuna, H., Allahverdiev, B.P.
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Multiple-Conclusion System as Communication Calculus
AbstractFollowing the so-called inversion principle of Gentzen-Prawitz, we demonstrate that multiple-conclusion system of classical logic can be naturally regarded as a communication calculus. For the motivation, we first introduce a hierarchical structure for representing an abstract structure of classical proofs.
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Fractional Hermite–Hadamard Inequalities in Non-Newtonian Calculus Focusing on h-GG-Convex Functions
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG-multiplicative calculus. By employing the GG-multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of ...
Bouharket Benaissa +3 more
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Posterior analysis for some classes of nonparametric models [PDF]
Recently, James [15, 16] has derived important results for various models in Bayesian nonparametric inference. In particular, he dened a spatial version of neutral to the right processes and derived their posterior distribution. Moreover, he obtained the
Antonio Lijoi +2 more
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Multiple integrals of Lipschitz functions in the calculus of variations [PDF]
We consider a multiple integral problem in the calculus of variations in which the integrand is locally Lipschitz but not differentiable, and in which minimization takes place over a Sobolev space. Using a minimax theorem, we derive an analogue of the classical Euler condition for optimality, couched in terms of “generalized gradients".
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On some Hermite-Hadamard integral inequalities in multiplicative calculus [PDF]
In this paper, we establish some new Hermite-Hadamard integral inequalities for log--convex and -convex functions in the framework of multiplicative calculus.
Zafar, Azhar Ali +2 more
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Factoring using multiplicative relations modulo n: a subexponential algorithm inspired by the index calculus [PDF]
We demonstrate that a modification of the classical index calculus algorithm can be used to factor integers. More generally, we reduce the factoring problem to finding an overdetermined system of multiplicative relations in any factor base modulo $n ...
Katherine E. Stange
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Relating Students\u27 Units Coordinating and Calculus Readiness [PDF]
Adolescent and children’s concepts of multiplication and fractions have been linked to differences in the number of levels of units they coordinate. In this paper, we discuss relationships between adult students’ conceptual structures for coordinating ...
Boyce, Steven +2 more
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