No: 15000000117pv2, 2023
Fourteen Questions to which Buddha Remained Silent
Sati Shankar
https://orcid.org/0000-0003-4638-1745
www.satishankar.in GSFN Bharat, New Delhi, 110024, www.gsfn.in
Title On Capability Sets
Author Sati Shankar https://orcid.org/0000-0003-4638-1745
Full Name Sati Shankar Dutta Pandey
Document 15000000117pv2
DOI https://doi.org/10.30847/99gsfn0118pv2.ISSN.2454.602X
Published 2023
Version Version
Stable URL https://studies.satishankar.in/
https://astitva.gsfn.in/99gsfn0118pv2
Primary class Mathematical Sciences, Mathematical Economics
Language English
Type Paper
ISSN ISSN 2454-602X
ISBN
Imprint astitva
Published by Global Synergetic Foundation, New Delhi, India 110024 [GSFN Bharat]
Copyright All Rights Reserved. Global Synergetic Foundation
Publisher Site www.gsfn.in
Keywords:
Abstract
wide range of data that appear in scientific experiments and simulations are multivariate or multifield in nature, consisting of multiple scalar fields. Topological feature search of such data aims to reveal important properties useful to the domain scientists. It has been shown in recent works that a single scalar field is insufficient to capture many important topological features in the data, instead one needs to consider topological relationships between multiple scalar fields. In the current paper, we propose a novel method of finding similarity between two multifield data by comparing their respective fiber component distributions. Given a time-varying multifield data, the method computes a metric plot for each pair of histograms at consecutive time stamps to understand the topological changes in the data over time. We validate the method using real and synthetic data. The effectiveness of the proposed method is shown by its ability to capture important topological features that are not always possible to detect using the individual component scalar fields.
References
Backer G. (1964; 75). Human capital, Columbia Univ. Press
Debeứ G. (1959). Theory of Value, Wiley, New York (1998)
Foster J. & K. Sen A. (1998). On Economic Inequality after a Quarter Century, Section A-7 in Sen (1998)
Koopmans T.C. (1964). On Flexibility of Future Preferences, in Shelly and Bryan (Ed), (1964)
Lancaster K.(1966). A New A approach to Consumer. Theory.J. Pol. Economy, 74.
Pandey, S.S.D. (1989). Some Foundational Problems in the Measurement of Social Inequality, Paper, XI World Congress of Sociology, Session on Social Inequality in India, Ideologies and Realities, Banaras Hindu University. Varanasi
Pandey, S.S.D. (1989). Towards a Theory of Expectation I, Proc.76th Indian Science Congress, Part 3,
Pandey, S.S.D. (1990). Towards a Theory of Expectation II, Proc.77th Indian Science Congress, Part 3,
Pandey, S.S.D. (1990). Tolerance Structure and Psychophysics. Proc. 77th Indian Science Cong. Part 3.
Pandey, S.S.D. (1999). Information Theory with Applications to Biogenesis & Evolution, Synergetic Systems Vol. X, No.1
Pandey, S.S.D. (1991). Notes on Some Extended Topologies, Global Synergetic Monograph No 2
Pandey, S.S.D. (1991). Self-organization in Neurocybernetics and Modeling of Cognitive Process, Paper, Proc.78th Indian Science Congress,
Pandey, S.S.D. (1992)a. Sequencing and Symmetry-Braking in some Biological Macromolecules, preprint, Global Synergetic.
Pandey, S.S.D. (1992)b. Capabilities, Evolution and Value Judgement. St. Anderw's Lecture,
Pandey, S.S.D. (1993). Capabilities and Calibration, Global Synergetic Monograph No. 3.
Pandey, S.S.D. (1994). Capabilities in Neural Information Processing, preprint, Global Synergetic
Pandey, S.S.D. (1996). The architecture of Complexity, Synergetic Systems. Vol. VII, No. 1.
Pandey, S.S.D. (1997). Capabilities as Fitness in Evolution, preprint Global Synergetic
Pandey, S.S.D. (1997). Superposition Sets, Error Bounds and Entropy, Synergetic Systems. Vol. VIII, No. 2
Sen Amartya. (1987). Commodities and Capabilities OUP, India
Sen Amartya. (1992). Inequality Revisited. OUP, India
Sen Amartya. (1998). On Economic Inequality, OUP, India
Shelly M.W. & Bryan J.L. (1964). Human Judgement and Optimality, Wiley, New York, :
Smirnov Y. M. (1952). Mapping of Systems of open Sets, Math.Rev. 14, 303.
Volkenshtein M. W. (1983). Biophysics, Translated by A. Beknazarov. Mir, Moscow.
Citation Sati Shankar.2023."On Capability Sets". A revised version of the paper,35th Annual Conference of the Indian Econometric Society,Jaipur, March 11-13, 1999 , https://doi.org/10.30847/99gsfn0118pv2.ISSN.2454.602X
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