A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry

DOI10.1007/978-3-319-90665-2zbMath1395.00007OpenAlexW2812065559MaRDI QIDQ4643759

Isiah Zaplana, Sebastian Xambó-Descamps, Carlile C. Lavor

Publication date: 28 May 2018

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-90665-2

zbMATH Keywords

roboticsgeometric algebramolecular geometryspace-time physics

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) History of differential geometry (53-03) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) History of mathematics in the 19th century (01A55) Physics (00A79) Research exposition (monographs, survey articles) pertaining to biology (92-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) History of mechanics of particles and systems (70-03) History of biology (92-03)

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Unassigned distance geometry and molecular conformation problems ⋮ Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras ⋮ Monte Carlo geometry modeling for particle transport using conformal geometric algebra ⋮ Oriented conformal geometric algebra and the molecular distance geometry problem ⋮ Recent results on assigned and unassigned distance geometry with applications to protein molecules and nanostructures ⋮ On the estimation of unknown distances for a class of Euclidean distance matrix completion problems with interval data ⋮ A quantum approach to the discretizable molecular distance geometry problem ⋮ Exponentials of general multivector in 3D Clifford algebras

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