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Calculus II Practice Problems, Methods, and Solutions
This study guide is designed for students taking a Calculus II course. The textbook includes examples, questions, and practice problems that will... -
Calculus III Practice Problems, Methods, and Solutions
This study guide is designed for students taking a Calculus III course. The textbook includes examples, questions, and practice problems that will...
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Fractional Calculus High-Precision Algorithms and Numerical Implementations
Fractional calculus and its applications are fascinating research areas in many engineering disciplines. This book is a comprehensive collection of...
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Introduction to Fractional Calculus
At the beginning of the development of the theory of classical calculus (called integer-order calculus in this book), the British scientist Isaac... -
Calculus and Integral Transforms
In the calculus course, the solutions of limit, differentiation, integrals, series and series approximations of given functions are mainly studied.... -
Path planning and optimal control of a 4WS vehicle using calculus of variations
In this paper, optimal control of a 4 wheel steering vehicle (4WSV) is performed using the calculus of variations, and its related optimal path is...
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Elements of the Calculus of Variations
ThisCalculus of variations chapter explains the basic principles of the theory of the calculus of variations. Having defined what a functional is,... -
Intelligent predictive computing for functional differential system in quantum calculus
The aim of this study is to present a novel application of Levenberg–Marquardt backpropagation (LMB) to investigate numerically the solution of...
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Calculus I Practice Problems, Methods, and Solutions
This study guide is designed for students taking a Calculus I course. This new edition includes expanded examples, questions, and practice problems...
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Definability of Association Rules in Predicate Calculus
Observational calculi are special logical calculi in which statements concerning observed data can be formulated. Their special case is predicate... -
Definitions and Numerical Evaluations of Fractional Calculus
As previously noted, fractional calculus dates back to the days when Newton and Leibniz first invented traditional calculus. In the absence of a... -
Transient high-frequency spherical wave propagation in porous medium using fractional calculus technique
Transient high-frequency spherical wave propagation in the porous medium is studied using the Biot-JKD theory. The porous media is considered to be a...
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Towards Multi-agent Specification of Health Care Systems Using π-Calculus
In this paper, we propose the use of π-calculus, a formal modeling language, for the specification of healthcare systems. π-calculus offers... -
Object Notations: Lambda Calculus and Combinators
This chapter presents formal object-based notations and provides details of a sustainable object-based framework. The global methodology is the IT... -
Trefftz co-chain calculus
We are concerned with a special class of discretizations of general linear transmission problems stated in the calculus of differential forms and...
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Practical algebraic calculus and Nullstellensatz with the checkers Pacheck and Pastèque and Nuss-Checker
Automated reasoning techniques based on computer algebra have seen renewed interest in recent years and are for example heavily used in formal...
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Mikusiński’s Operational Calculus Applied in General Classes of Fractional Calculus
Mikusiński’s operational calculus is an algebraic formalism for integral and derivative operators, constructed in the mid 20th century, which can be... -
Granular Reasoning for the Epistemic Situation Calculus
In Chap. 5, we apply granular reasoning to the epistemic situation calculus ES of Lakemeyer and Levesque by interpreting actions as modalities and... -
Complexity of the Lambek Calculus and Its Extensions
We survey results on algorithmic complexity of extensions of the Lambek calculus. We classify these extensions as “harmless,” which do not increase... -
Calculus and Linear Algebra Fundamentals and Applications
This textbook offers a comprehensive coverage of the fundamentals of calculus, linear algebra and analytic geometry. Intended for bachelor’s students...