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A MULTIPLICATIVE CALCULUS

PRIMUS, 1999
ABSTRACT A new type of calculus called “multiplicative calculus” is developed and some basic theorems about derivatives, integrals, and infinite products are proved within this calculus. Multiplicative calculus is based on a multiplicative mechanism in the same sense that the usual calculus is based on an additive mechanism.
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Differential calculus on multiple products

Indagationes Mathematicae, 2019
The article under review studies mappings on products of locally convex spaces and manifolds with mixed order of differentiability in the components. For example, if \(U_i \subseteq E_i\) are open subsets of locally convex spaces \(E_i\), then a mapping \(f \colon U_1 \times \cdots \times U_n \rightarrow F\) is called a \(C^\alpha\)-differentiable (or \
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MULTIPLICATIVE CALCULUS AND STUDENT PROJECTS

PRIMUS, 1999
ABSTRACT Multiplicative calculus is based on a multiplicative rate of change, as the usual calculus is based on an additive rate of change. Some student investigations into the multiplicative calculus are described, including an original student idea about a multiplicative Euler's Method.
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Jitter calculus in ATM networks: multiple nodes

IEEE/ACM Transactions on Networking, 1997
We provide simple techniques for estimating the end-to-end jitter incurred by a periodic traffic in an asynchronous transfer mode (ATM) network. Our analysis is based on the careful examination of light and heavy traffic behavior of jitter incurred to a tagged renewal stream in a single node.
W. Matragi, K. Sohraby, C. Bisdikian
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Situation Calculus for Multiple Action Representation

Proceedings of the 18th International Conference on Computer Systems and Technologies, 2017
The paper follows a sequence of publications dedicated to development of new situational-event calculus, which main concepts are: using of order-sorted logic and branching time concepts, taking into account many alternative outcomes of the same action, applying actions, grouped in a list to model their simultaneity.
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Foregrounding Multiplicative Structure in Essential Calculus Topics

2022
Approaches to calculus have emphasized limits, derivatives, and integrals, among other topics. Yet, across different approaches, the subject continues to pose significant challenges. The present study reports a new approach to calculus that takes multiplicative structure as an equally essential topic that is often overlooked or taken for granted. In an
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