scholarly journals Boosting vector calculus with the graphical notation

2021 ◽  
Vol 89 (2) ◽  
pp. 200-209
Author(s):  
Joon-Hwi Kim ◽  
Maverick S. H. Oh ◽  
Keun-Young Kim
Keyword(s):  
Graphical Notation ◽  
Vector Calculus

Hybrid argumentation systems for structured news reports

2001 ◽  
Vol 16 (4) ◽  
pp. 295-329 ◽  
Author(s):  
ANTHONY HUNTER
Keyword(s):  
Knowledge Management ◽  
Decision Support ◽  
Hybrid Systems ◽  
Real World ◽  
Hybrid Approach ◽  
Graphical Notation ◽  
The Real ◽  
News Reports ◽  
Further Development ◽  
Argumentation Systems

Numerous argumentation systems have been proposed in the literature. Yet there often appears to be a shortfall between proposed systems and possible applications. In other words, there seems to be a need for further development of proposals for argumentation systems before they can be used widely in decision-support or knowledge management. I believe that this shortfall can be bridged by taking a hybrid approach. Whilst formal foundations are vital, systems that incorporate some of the practical ideas found in some of the informal approaches may make the resulting hybrid systems more useful. In informal approaches, there is often an emphasis on using graphical notation with symbols that relate more closely to the real-world concepts to be modelled. There may also be the incorporation of an argument ontology oriented to the user domain. Furthermore, in informal approaches there can be greater consideration of how users interact with the models, such as allowing users to edit arguments and to weight influences on graphs representing arguments. In this paper, I discuss some of the features of argumentation, review some key formal argumentation systems, identify some of the strengths and weaknesses of these formal proposals and finally consider some ways to develop formal proposals to give hybrid argumentation systems. To focus my discussions, I will consider some applications, in particular an application in analysing structured news reports.

scholarly journals Quick tips for creating effective and impactful biological pathways using the Systems Biology Graphical Notation

2018 ◽  
Vol 14 (2) ◽  
pp. e1005740 ◽  
Author(s):  
Vasundra Touré ◽  
Nicolas Le Novère ◽  
Dagmar Waltemath ◽  
Olaf Wolkenhauer
Keyword(s):  
Systems Biology ◽  
Biological Pathways ◽  
Graphical Notation

scholarly journals A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral

Entropy ◽  
2020 ◽  
Vol 23 (1) ◽  
pp. 26
Author(s):  
Young Sik Kim
Keyword(s):  
Fourier Transform ◽  
Function Space ◽  
Partial Derivative ◽  
Directional Derivative ◽  
Feynman Integral ◽  
Wiener Integral ◽  
Vector Calculus ◽  
Change Of Scale

We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener integral and the Feynman integral about the directional derivative of a Fourier transform.

Vector Calculus and Differential Geometry

2020 ◽  
pp. 65-88
Author(s):  
Patrick Knupp ◽  
Stanly Steinberg
Keyword(s):  
Differential Geometry ◽  
Vector Calculus

Review of Vector Calculus

2019 ◽  
pp. 363-369
Author(s):  
Richard C. Aster ◽  
Brian Borchers ◽  
Clifford H. Thurber
Keyword(s):  
Vector Calculus

Model querying with graphical notation of QVT relations

2012 ◽  
Vol 37 (4) ◽  
pp. 1-8
Author(s):  
Dan Li ◽  
Xiaoshan Li ◽  
Volker Stolz
Keyword(s):  
Graphical Notation ◽  
Qvt Relations

The Derivation and Application of Fundamental Solutions for Unsteady Stokes Equations

2015 ◽  
Vol 31 (6) ◽  
pp. 683-691 ◽  
Author(s):  
C-H. Hsiao ◽  
D.-L. Young
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Fundamental Solutions ◽  
Mass Source ◽  
Reynolds Number Flow ◽  
Singularity Method ◽  
Vector Calculus ◽  
Unsteady Stokes Flow ◽  
Number Flow ◽  
Unsteady Stokes Equations

AbstractIn this paper, two formulations in explicit form to derive the fundamental solutions for two and three dimensional unsteady unbounded Stokes flows due to a mass source and a point force are presented, based on the vector calculus method and also the Hörmander’s method. The mathematical derivation process for the fundamental solutions is detailed. The steady fundamental solutions of Stokes equations can be obtained from the unsteady fundamental solutions by the integral process. As an application, we adopt fundamental solutions: an unsteady Stokeslet and an unsteady potential dipole to validate a simple case that a sphere translates in Stokes or low-Reynolds-number flow by using the singularity method instead by the traditional method which in general limits to the assumption of oscillating flow. It is concluded that this study is able to extend the unsteady Stokes flow theory to more general transient motions by making use of the fundamental solutions of the linearly unsteady Stokes equations.

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