Quartic approximation of circular arcs using equioscillating error function Article Swipe
Abedallah Rababah
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.14569/ijacsa.2016.070780
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.14569/ijacsa.2016.070780
A high accuracy quartic approximation for circular arc is given in this article. The approximation is constructed so that the error function is of degree 8 with the least deviation from the x-axis; the error function equioscillates 9 times; the approximation order is 8. The numerical examples demonstrate the efficiency and simplicity of the approximation method as well as satisfying the properties of the approximation method and yielding the highest possible accuracy.
Related Topics
Concepts
Quartic function
Approximation error
Function approximation
Function (biology)
Minimax approximation algorithm
Approximation algorithm
Computer science
Degree (music)
Approximation theory
Orders of approximation
Arc (geometry)
Order (exchange)
Error function
Linear approximation
Applied mathematics
Algorithm
Mathematics
Mathematical analysis
Geometry
Physics
Artificial intelligence
Quantum mechanics
Economics
Biology
Artificial neural network
Pure mathematics
Finance
Acoustics
Evolutionary biology
Nonlinear system
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.14569/ijacsa.2016.070780
- OA Status
- hybrid
- Cited By
- 6
- References
- 24
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2498835000
All OpenAlex metadata
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https://openalex.org/W2498835000Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.14569/ijacsa.2016.070780Digital Object Identifier
- Title
-
Quartic approximation of circular arcs using equioscillating error functionWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2016Year of publication
- Publication date
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2016-01-01Full publication date if available
- Authors
-
Abedallah RababahList of authors in order
- Landing page
-
https://doi.org/10.14569/ijacsa.2016.070780Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
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https://doi.org/10.14569/ijacsa.2016.070780Direct OA link when available
- Concepts
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Quartic function, Approximation error, Function approximation, Function (biology), Minimax approximation algorithm, Approximation algorithm, Computer science, Degree (music), Approximation theory, Orders of approximation, Arc (geometry), Order (exchange), Error function, Linear approximation, Applied mathematics, Algorithm, Mathematics, Mathematical analysis, Geometry, Physics, Artificial intelligence, Quantum mechanics, Economics, Biology, Artificial neural network, Pure mathematics, Finance, Acoustics, Evolutionary biology, Nonlinear systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
6Total citation count in OpenAlex
- Citations by year (recent)
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2020: 1, 2019: 1, 2017: 4Per-year citation counts (last 5 years)
- References (count)
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24Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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