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Article
Publication date: 24 November 2021

Rawid Banchuin

The purpose of this paper is to present the analyses of electrical circuits with arbitrary source terms defined on middle b cantor set by means of nonlocal fractal calculus

Abstract

Purpose

The purpose of this paper is to present the analyses of electrical circuits with arbitrary source terms defined on middle b cantor set by means of nonlocal fractal calculus and to evaluate the appropriateness of such unconventional calculus.

Design/methodology/approach

The nonlocal fractal integro-differential equations describing RL, RC, LC and RLC circuits with arbitrary source terms defined on middle b cantor set have been formulated and solved by means of fractal Laplace transformation. Numerical simulations based on the derived solutions have been performed where an LC circuit has been studied by means of Lagrangian and Hamiltonian formalisms. The nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been derived and the local fractal calculus-based ones have been revisited.

Findings

The author has found that the LC circuit defined on a middle b cantor set become a physically unsound system due to the unreasonable associated Hamiltonian unless the local fractal calculus has been applied instead.

Originality/value

For the first time, the nonlocal fractal calculus-based analyses of electrical circuits with arbitrary source terms have been performed where those circuits with order higher than 1 have also been analyzed. For the first time, the nonlocal fractal calculus-based Lagrangian and Hamiltonian equations have been proposed. The revised contradiction free local fractal calculus-based Lagrangian and Hamiltonian equations have been presented. A comparison of local and nonlocal fractal calculus in terms of Lagrangian and Hamiltonian formalisms have been made where a drawback of the nonlocal one has been pointed out.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering , vol. 41 no. 1
Type: Research Article
ISSN: 0332-1649

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Abstract

Details

George Spencer Brown's “Design with the NOR”: With Related Essays
Type: Book
ISBN: 978-1-83982-611-5

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Article
Publication date: 15 June 2020

Ekaterina Dikman, Alexey Soldatov and Anatoly Chirev

The purpose of this paper is to verify the possibility of ultrasonic intensification of drug dissolution of cholesterol calculi of the gallbladder using conventional…

Abstract

Purpose

The purpose of this paper is to verify the possibility of ultrasonic intensification of drug dissolution of cholesterol calculi of the gallbladder using conventional ultrasound frequency and intensity from 0.1 to 0.5 W/cm2.

Design/methodology/approach

For research purposes, the physical model was developed containing pig bile, pig liver, pigskin, fat and muscles, as well as human cholesterol calculus removed by surgery and a drug with ursodeoxycholic acid.

Findings

The studies have shown the possibility of accelerating the drug dissolution of calculi of the gallbladder with ultrasound exposure. The ultrasound intensity of 0.4 W/cm2 is the most preferable to intensify the dissolution of calculus.

Originality/value

The results will be used to advance with development of the device and methodology for ultrasonic intensification of drug dissolution of gallbladder calculi.

Details

Sensor Review, vol. 40 no. 3
Type: Research Article
ISSN: 0260-2288

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Article
Publication date: 13 March 2017

Mark Taylor and Denis Reilly

This paper aims to present the application of situation calculus for knowledge representation in missing persons investigations.

Abstract

Purpose

This paper aims to present the application of situation calculus for knowledge representation in missing persons investigations.

Design/methodology/approach

The development of a knowledge representation model for the missing persons investigation process based upon situation calculus, with a demonstration of the use of the model for a missing persons example case.

Findings

Situation calculus is valuable for knowledge representation for missing persons investigations, as such investigations have state changes over time, and due to the complexity of the differing investigation activities applicable to different situations, can be difficult to represent using simpler approaches such as tables or flowcharts.

Research limitations/implications

Situation calculus modelling for missing persons investigations adds formalism to the process beyond that which can be afforded by the current use of text, tables or flowcharts. The additional formalism is useful in dealing with the uncertainty present in such investigations.

Practical implications

The implications are a simplification of the application of the current police guidelines, and thoroughness in the application of such guidelines for missing persons investigations via situation calculus modelling.

Social implications

This paper supports the management of missing person investigations, by using the most critical variables in a missing persons investigation to determine relevant investigation and search activities applicable to the circumstances of a given case.

Originality/value

The novelty of the knowledge representation approach is the application of situation calculus via state and action vectors and a matrix of fluents to the process of missing persons investigations.

Details

Journal of Systems and Information Technology, vol. 19 no. 1/2
Type: Research Article
ISSN: 1328-7265

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Article
Publication date: 17 March 2021

André Oksas

This paper aims to show how a sociological description – a swarm analysis of the Nazi dictatorship – initially made with the means borrowed from George Spencer-Brown’s…

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76

Abstract

Purpose

This paper aims to show how a sociological description – a swarm analysis of the Nazi dictatorship – initially made with the means borrowed from George Spencer-Brown’s Calculus of Indications, can be transformed into a digital circuit and with which methods and tools of digital mathematics this digital circuit can be analyzed and described in its behavior. Thus, the paper also aims to contribute to a better understanding of Chapter 11 of “Laws of Form.”

Design/methodology/approach

The analysis uses methods of automata theory for finite, deterministic automata. Basic set operations of digital mathematics and special set operations of the Boolean Differential Calculus are used to calculate digital circuits. The software used is based on ternary logic, in which the binary Boolean logic of the elements {0, 1} is extended by the third element “Don’t care” to {0, 1, −}.

Findings

The paper confirms the method of transforming a form into a digital circuit derived from the comparative functional and structural analysis of the Modulator from Chapter 11 of “Laws of Form” and defines general rules for this transformation. It is shown how the indeterminacy of re-entrant forms can be resolved in the medium of time using the methods of automata theory. On this basis, a refined definition of the degree of a form is presented.

Originality/value

The paper shows the potential of interdisciplinary approaches between sociology and information technology and provides methods and tools of digital mathematics such as ternary logic, Boolean Differential Calculus and automata theory for application in sociology.

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Article
Publication date: 21 August 2018

Ryszard Sikora and Stanislaw Pawłowski

This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories.

Abstract

Purpose

This paper aims to evaluate the possibilities of fractional calculus application in electrical circuits and magnetic field theories.

Design/methodology/approach

The analysis of mathematical notation is used for physical phenomena description. The analysis aims to challenge or prove the correctness of applied notation.

Findings

Fractional calculus is sometimes applied correctly and sometimes erroneously in electrical engineering.

Originality/value

This paper provides guidelines regarding correct application of fractional calculus in description of electrical circuits’ phenomena. It can also inspire researchers to find new applications for fractional calculus in the future.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 37 no. 4
Type: Research Article
ISSN: 0332-1649

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Article
Publication date: 11 April 2016

Catherine Elizabeth Scott, Linda E Green and Debra Lynn Etheridge

The purpose of this paper is to enhance students’ mastery of course material in a second semester calculus course and assess the effectiveness of a traditional…

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1055

Abstract

Purpose

The purpose of this paper is to enhance students’ mastery of course material in a second semester calculus course and assess the effectiveness of a traditional “lecture-based” instructional model compared to a modified “flipped classroom” model using a mixed method research design.

Design/methodology/approach

Evaluation of effectiveness was measured by having students in all four courses take the same pre-post exams and participate in a survey to assess their opinion of each instructional model. Undergraduate students covered the same content using two different modes of instruction.

Findings

Within a comparable group of students, participants in the flipped course had similar content knowledge gains as the lecture-based course. Based on responses obtained in blinded student surveys, the authors found that the use of an online homework system (WebAssign) and in-class quizzes were critical motivating factors that likely contributed to the increase in student performance. The flipped classroom instruction was more effective at increasing interest in the subject and promoting student discourse around problem solving. Taken together, the findings support the flipped classroom model as an equally effective means in which to disseminate key calculus concepts to undergraduate students.

Research limitations/implications

Findings from this study are limited to content knowledge gains in calculus over a 14-week time period, and student attitudes toward the mode of instruction they received. More research is needed to study the depth of learning that occurs in small group problem solving and interactions between faculty-and-student and student-to-student.

Originality/value

While many course redesigns focus on incorporating more project-based or laboratory-based learning opportunities, the redesign used in this study was focussed on different ways to deliver the same content. Results from this study suggest that a blended type of learning would be optimal for learning calculus concepts with a strategic use of video content concepts.

Details

Journal of Applied Research in Higher Education, vol. 8 no. 2
Type: Research Article
ISSN: 2050-7003

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Article
Publication date: 12 September 2016

Minghui Kang, Yiwen Gao, Tao Wang and Haichao Zheng

The purpose of this paper is to identify funders’ motivations for investing in crowdfunding. It applies trust theory to propose a research model including three subject…

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3801

Abstract

Purpose

The purpose of this paper is to identify funders’ motivations for investing in crowdfunding. It applies trust theory to propose a research model including three subject measures – fundraiser-related, project-related and platform-related factors. Trust has been categorized into cognitive and affective dimensions to specifically analyze the influential factors.

Design/methodology/approach

Bootstrapping is employed to analyze data collected from respondents with investment experience on equity crowdfunding projects. Structural equation modeling techniques are adopted to examine the factors that influence trust between funders and crowdfunding as well as the outcomes of this trust.

Findings

The results indicate that calculus trust and relationship trust collectively or separately transmit the effect of some antecedents to investment intention. However, there is no evidence indicating the mediating effects of calculus trust and relationship trust on the relationship of structural assurance and value congruence to investment intention.

Practical implications

This paper provides insights for crowdfunding fundraisers on how to build a strong relationship with funders, and it also gives crowdfunding designers advice on how to improve and perfect the platform functions.

Originality/value

This study contributes to a better understanding of the driving forces of calculus and relationship trust and their influence on investment intention. It is also the first to address a funder’s trust using a theoretical model describing the investor intention in crowdfunding and thereby extending the knowledge base of trust theory.

Details

Industrial Management & Data Systems, vol. 116 no. 8
Type: Research Article
ISSN: 0263-5577

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Article
Publication date: 20 January 2022

Yongqiang Sun, Fei Zhang and Yafei Feng

This paper aimed to explain why individuals still tend to disclose their privacy information even when privacy risks are high and whether individuals disclose or withhold…

Abstract

Purpose

This paper aimed to explain why individuals still tend to disclose their privacy information even when privacy risks are high and whether individuals disclose or withhold information following the same logic.

Design/methodology/approach

This study develops a configurational decision tree model (CDTM) for precisely understanding individuals' decision-making process of privacy disclosure. A survey of location-based social network service (LBSNS) users was conducted to collect data, and fuzzy-set qualitative comparative analysis (fsQCA) was adopted to validate the hypotheses.

Findings

This paper identified two configurations for high and low disclosure, respectively, and found that the benefits and the risks did not function independently but interdependently, and the justice would play a crucial role when both the benefits and the risks were high. Furthermore, the authors found that there were asymmetric mechanisms for high disclosure and low disclosure, and males focused more on perceived usefulness, while females concerned more about perceived enjoyment, privacy risks and perceived justice.

Originality/value

This paper further extends privacy calculus model (PCM) and deepens the understanding of the privacy calculus process from a configurational perspective. In addition, this study also provides guidance for future research on how to adopt the configurational approach with qualitative comparative analysis (QCA) to revise and improve relevant theories for information systems (IS) behavioral research.

Details

Aslib Journal of Information Management, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 2050-3806

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Article
Publication date: 20 October 2021

Jayalaxmi Anem, G. Sateeshkumar and R. Madhu

The main aim of this paper is to design a technique for improving the quality of EEG signal by removing artefacts which is obtained during acquisition. Initially…

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12

Abstract

Purpose

The main aim of this paper is to design a technique for improving the quality of EEG signal by removing artefacts which is obtained during acquisition. Initially, pre-processing is done on EEG signal for quality improvement. Then, by using wavelet transform (WT) feature extraction is done. The artefacts present in the EEG are removed using deep convLSTM. This deep convLSTM is trained by proposed fractional calculus based flower pollination optimisation algorithm.

Design/methodology/approach

Nowadays' EEG signals play vital role in the field of neurophysiologic research. Brain activities of human can be analysed by using EEG signals. These signals are frequently affected by noise during acquisition and other external disturbances, which lead to degrade the signal quality. Denoising of EEG signals is necessary for the effective usage of signals in any application. This paper proposes a new technique named as flower pollination fractional calculus optimisation (FPFCO) algorithm for the removal of artefacts from EEG signal through deep learning scheme. FPFCO algorithm is the integration of flower pollination optimisation and fractional calculus which takes the advantages of both the flower pollination optimisation and fractional calculus which is used to train the deep convLSTM. The existed FPO algorithm is used for solution update through global and local pollinations. In this case, the fractional calculus (FC) method attempts to include the past solution by including the second order derivative. As a result, the suggested FPFCO algorithm approaches the best solution faster than the existing flower pollination optimization (FPO) method. Initially, 5 EEG signals are contaminated by artefacts such as EMG, EOG, EEG and random noise. These contaminated EEG signals are pre-processed to remove baseline and power line noises. Further, feature extraction is done by using WT and extracted features are applied to deep convLSTM, which is trained by proposed fractional calculus based flower pollination optimisation algorithm. FPFCO is used for the effective removal of artefacts from EEG signal. The proposed technique is compared with existing techniques in terms of SNR and MSE.

Findings

The proposed technique is compared with existing techniques in terms of SNR, RMSE and MSE.

Originality/value

100%.

Details

International Journal of Intelligent Computing and Cybernetics, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1756-378X

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