On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F22%3APU142365" target="_blank" >RIV/00216305:26210/22:PU142365 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00006-021-01182-z" target="_blank" >https://link.springer.com/article/10.1007/s00006-021-01182-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-021-01182-z" target="_blank" >10.1007/s00006-021-01182-z</a>

Result language
angličtina
Original language name
On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb
Original language description
We describe a possibility for geometric calculation of specific conics' intersections in Geometric Algebra for Conics (GAC) using its operations that may be expressed as sums of products. The advantage is that no solver for a system of quadratic equations is needed and thus no numerical error is involved. We also describe specific conics connected to intersections of conics in a general mutual position. Then we show how symbolic operations may be calculated directly in GAALOPWeb software, that the basis coefficients may be read off in the appropriate basis and, moreover, the result may be immediately and truly visualized. We compare the functionality with Maple package Clifford.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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