Results 11 to 20 of about 1,023 (265)
A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity.
Meriem Merad +3 more
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A q-analogue of the multiplicative calculus: Q-multiplicative calculus
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Yener, Gökhan, EMİROĞLU, İbrahim
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Hermite-Hadamard type inequalities for multiplicatively p-convex functions
In this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions.
Serap Özcan
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Labelled Lambda-calculi with Explicit Copy and Erase [PDF]
We present two rewriting systems that define labelled explicit substitution lambda-calculi. Our work is motivated by the close correspondence between Levy's labelled lambda-calculus and paths in proof-nets, which played an important role in the ...
Maribel Fernández, Nikolaos Siafakas
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On noncommutative extensions of linear logic [PDF]
Pomset logic introduced by Retor\'e is an extension of linear logic with a self-dual noncommutative connective. The logic is defined by means of proof-nets, rather than a sequent calculus.
Sergey Slavnov
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Making first order linear logic a generating grammar [PDF]
It is known that different categorial grammars have surface representation in a fragment of first order multiplicative linear logic (MLL1). We show that the fragment of interest is equivalent to the recently introduced extended tensor type calculus (ETTC)
Sergey Slavnov
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On the multiplicative Legendre equation
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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Classical BI: Its Semantics and Proof Theory [PDF]
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI.
James Brotherston, Cristiano Calcagno
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A Multiplicative Calculus Approach to Solve Applied Nonlinear Models
Problems such as population growth, continuous stirred tank reactor (CSTR), and ideal gas have been studied over the last four decades in the fields of medical science, engineering, and applied science, respectively.
Gurjeet Singh +2 more
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