The best sextic approximation of hyperbola with order twelve Article Swipe
Abedallah Rababah
,
Esra’a Rababah
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.11591/ijece.v10i2.pp2192-2199
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.11591/ijece.v10i2.pp2192-2199
In this article, the best uniform approximation for the hyperbola of degree 6 that has approximation order 12 is found. The associated error function vanishes 12 times and equioscillates 13 times. For an arc of the hyperbola, the error is bounded by 2:4 x 10-4. We explain the details of the derivation and show how to apply the method. The method is simple and this encourages and motivates people working in CG and CAD to apply it in their works.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.11591/ijece.v10i2.pp2192-2199
- http://ijece.iaescore.com/index.php/IJECE/article/download/19349/13815
- OA Status
- diamond
- Cited By
- 1
- References
- 16
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2990988866
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https://openalex.org/W2990988866Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.11591/ijece.v10i2.pp2192-2199Digital Object Identifier
- Title
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The best sextic approximation of hyperbola with order twelveWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-03-08Full publication date if available
- Authors
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Abedallah Rababah, Esra’a RababahList of authors in order
- Landing page
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https://doi.org/10.11591/ijece.v10i2.pp2192-2199Publisher landing page
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https://ijece.iaescore.com/index.php/IJECE/article/download/19349/13815Direct link to full text PDF
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://ijece.iaescore.com/index.php/IJECE/article/download/19349/13815Direct OA link when available
- Concepts
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Hyperbola, Approximation error, Order (exchange), Mathematics, Degree (music), Bounded function, Simple (philosophy), Function (biology), Applied mathematics, Arc (geometry), Mathematical analysis, Geometry, Physics, Finance, Epistemology, Philosophy, Evolutionary biology, Economics, Biology, AcousticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2020: 1Per-year citation counts (last 5 years)
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16Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.show | 53 |
| abstract_inverted_index.that | 13 |
| abstract_inverted_index.this | 1, 64 |
| abstract_inverted_index.10-4. | 44 |
| abstract_inverted_index.apply | 56, 75 |
| abstract_inverted_index.error | 22, 38 |
| abstract_inverted_index.order | 16 |
| abstract_inverted_index.their | 78 |
| abstract_inverted_index.times | 26 |
| abstract_inverted_index.degree | 11 |
| abstract_inverted_index.found. | 19 |
| abstract_inverted_index.method | 60 |
| abstract_inverted_index.people | 68 |
| abstract_inverted_index.simple | 62 |
| abstract_inverted_index.times. | 30 |
| abstract_inverted_index.works. | 79 |
| abstract_inverted_index.bounded | 40 |
| abstract_inverted_index.details | 48 |
| abstract_inverted_index.explain | 46 |
| abstract_inverted_index.method. | 58 |
| abstract_inverted_index.uniform | 5 |
| abstract_inverted_index.working | 69 |
| abstract_inverted_index.article, | 2 |
| abstract_inverted_index.function | 23 |
| abstract_inverted_index.vanishes | 24 |
| abstract_inverted_index.hyperbola | 9 |
| abstract_inverted_index.motivates | 67 |
| abstract_inverted_index.associated | 21 |
| abstract_inverted_index.derivation | 51 |
| abstract_inverted_index.encourages | 65 |
| abstract_inverted_index.hyperbola, | 36 |
| abstract_inverted_index.approximation | 6, 15 |
| abstract_inverted_index.equioscillates | 28 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.43202832 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |