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Calculus and digital natives in rendezvous: wxMaxima impact
[article]
2021
arXiv
pre-print
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This article covers how a computer algebra system (CAS) wxMaxima can be explored for teaching and learning Single-Variable and Multivariable Calculus for Korean digital natives. ...
We present several examples where wxMaxima can handle Calculus problems easily, not straightforwardly but still successfully solved with some human intervention, and unsuccessfully. ...
Digital natives Calculus wxMaxima Figure 1 : A theoretical framework of teaching Calculus to digital natives using CAS wxMaxima. ...
arXiv:2104.00295v3
fatcat:pewpngck5zd4zbunah4n5447sq
Digital calculus: Cellular automata dynamics in closed form
[article]
2015
arXiv
pre-print
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A simple mathematical expression for the universal map for cellular automata is found in closed form with the help of a digit function, whose most basic properties are established. ...
|x + y| − x − y |x − y| (1) This function constitutes the building block of B-calculus. ...
The digit function Let now p > 1, p ∈ N. ...
arXiv:1505.02543v2
fatcat:mgq5wghefnftzk3pzhvjwrpoqi
Digital calculus and finite groups in quantum mechanics
[article]
2015
arXiv
pre-print
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By means of a digit function that has been introduced in a recent formulation of classical and quantum mechanics, we provide a new construction of some infinite families of finite groups, both abelian ...
We define the k-th digit of m, d k 0, m (k−1)! ...
However, if the most significant digit of m is 1, we take the additive inverse p − d q (0, n) of the least significant digit of n and add it to the less significant digit of m modulo q (the most significant ...
arXiv:1505.04528v1
fatcat:uxlxqytyird4xbflrhgnhfq3de
Calculus and Digital Natives in Rendezvous: wxMaxima Impact
2021
Education Sciences
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This article covers how a computer algebra system (CAS) wxMaxima can be explored for teaching single-variable and multivariable calculus to Korean digital natives. ...
We present several examples where wxMaxima can handle calculus problems easily, not straightforwardly but still successfully with some human intervention, and unsuccessfully. ...
Digital natives Calculus wxMaxima Figure 1 . A theoretical framework of teaching calculus to digital natives using CAS wxMaxima. We had the following research questions: 1. ...
doi:10.3390/educsci11090490
fatcat:gn3ittewtjg7ddcdasyclvr2jm
An Equational Relation for Ambient Calculus
2005
IPSJ Digital Courier
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Equational relation for ambient calculus "Contextual Equivalence" were proposed regarding the names of ambients observed from the environment. ...
This paper proposes equational relations for ambient calculus by which we can distinguish processes that the existing equivalence identifies. 590 Vol. ...
Ambient Calculus This section describes the syntax and semantics of ambient calculus originally defined in Ref. 3 ). ...
doi:10.2197/ipsjdc.1.590
fatcat:cxoym33ui5allkhs5v7vtstkpm
A Single-Significant-Digit Calculus for Semi-Automated Guesstimation
[chapter]
2010
Lecture Notes in Computer Science
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We describe a single-significant-digit calculus for estimating approximate solutions to guesstimation problems. ...
The calculus is formalised as a collection of proof methods, which are combined into proof plans. ...
We now define a calculus for reasoning about numbers approximated to a single significant digit, which we will call the SingSigDig Calculus. ...
doi:10.1007/978-3-642-14203-1_31
fatcat:6w7dkkguhrgcxf4pn5cmghm5di
An Equivalence Relation for the Typed Ambient Calculus
2007
IPSJ Digital Courier
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Gordon and Cardelli, the originators of the ambient calculus, also defined an equivalence relation for the untyped ambient calculus. ...
The ambient calculus is a process algebra designed for describing mobile processes. ...
typed ambient calculus (ETAC ). ...
doi:10.2197/ipsjdc.3.369
fatcat:zs5sklhmrzfr5fsl3tflfttqja
Fostering Dialogue in the Calculus Classroom Using Dynamic Digital Technology
2016
Digital Experiences in Mathematics Education
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In this article, we discuss the dynamic digital software SimCalc MathWorlds and its potential to promote dialogue in the first calculus course for engineering students at Tecnológico de Monterrey, México ...
historical genesis of calculus, aiming to rescue the historical meaning of calculus before adjusting it for students in our classrooms, with a strong component of technology. ...
This meaning is related to an epistemology of calculus content. These are the narratives we look to foster in students, by talking about a real problem and the way calculus approaches a solution. ...
doi:10.1007/s40751-016-0013-9
fatcat:or3qqj6hlvhw7f7dv2rb2uwmua
The Fourier Transform in Optics: Analogous Experiment and Digital Calculus
[chapter]
2011
Holography, Research and Technologies
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Calculus ...
Calculus 13 d. ...
The chapters of the book are organized in six sections, starting with theory, continuing with materials, techniques, applications as well as digital algorithms, and finally ending with non-optical holograms ...
doi:10.5772/15576
fatcat:kidfio2qjvb7lg7djbuyfauuea
Digital devices signal processing system based on K-valued differential calculus
2014
Eastern-European Journal of Enterprise Technologies
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Comparing Calculus Communication across Static and Dynamic Environments Using a Multimodal Approach
2016
Digital Experiences in Mathematics Education
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The purpose of the article is to compare calculus students' communication as it is facilitated by each of these two environments, and to explore the role of paper-and digital-mediated representations for ...
positioning certain ways of thinking about calculus. ...
The Learning of Calculus in Dynamic Environments Evolution in digital technology has affected our thinking, learning and modes of interactions with mathematics. ...
doi:10.1007/s40751-016-0014-8
fatcat:bz4rykywynblpcwqhoy3mq2bcq
The Use of Index Calculus and Mersenne Primes for the Design of a High-Speed Digital Multiplier
1961
Journal of the ACM
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The Use of Index Calculus and Mersenne Primes for the
Design of a High-Speed Digital Multiplier*
Aviezri 8. ...
USE OF INDEX CALCULUS AND MERSENNE PRIMES 95
APPENDIX 2
In the section “Computation of a Number from its Index,” the quantities k, r, r’ were defined. ...
doi:10.1145/321052.321057
fatcat:hiqtr546g5bvhmh457qlp2ppt4
Integration of Digital Technology and Innovative Strategies for Learning and Teaching Large Classes: A Calculus Case Study
2016
International Journal of Research in Education and Science
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At the University of Central Florida (UCF) the Department of Mathematics developed an innovative teaching method that incorporated computers and MyLabsPlus software with application sessions in large calculus ...
In this work, we provide some issues to consider when pondering the impact that digital technologies can have when introduced in a visual learning process for Calculus. ...
The development of new digital technologies must have a positive impact in the learning process of Mathematics, but the speed that is characteristic of this development limits the time needed to understand ...
doi:10.21890/ijres.67867
fatcat:qzp4okdecncd5aclv6yhhyfqtm
Automatic Verification of Security Properties in Remote Internet Voting Protocol with Applied Pi Calculus
2010
International Journal of Digital Content Technology and its Applications
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They International Journal of Digital Content Technology and its Applications Volume 4, Number 7, Octber 2010 verifiability) and analyze Fujioka et al. protocol [33]. ...
Applied pi calculus is an extension of the pi calculus that inherits the constructs for communication and concurrency from the pure pi-calculus. ...
of the pi calculus [54] . ...
doi:10.4156/jdcta.vol4.issue7.9
fatcat:knrcy2p5abatxir6veqylwbnaq
The Use of 3D-Printing Technology in Calculus Education: Concept Formation Processes of the Concept of Derivative with Printed Graphs of Functions
2020
Digital Experiences in Mathematics Education
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From our point of view, the field of calculus seems to be particularly suitable for the use of 3D-printing. ...
Using the example of 3D-printed graphs of functions, the use of this technology in calculus is discussed within the three approaches of Grundvorstellungen, Subjective Domains of Experience and Empirical ...
The concept of empirical theories is used in order to describe the interaction with digital as well as physical objects. ...
doi:10.1007/s40751-020-00062-8
fatcat:ckhwryooavcafftf6ka5yqqxue
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