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Everything about Paravector
Sum of a scalar and vector in Clifford algebra
The name paravector is used for the combination of a scalar and a vector in any Clifford algebra, known as geometric algebra among physicists. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: ParavectorA 5-minute orientation
- Pick up a classic book: Understanding geometric algebra for electromagnetic theoryThe most-reprinted book on the subject
- Read the landmark paper: CONFORMAL STRUCTURES AND TWISTORS IN THE PARAVECTOR MODEL OF SPACETIMECited 15 times
- Go sideways: Fubini–Study metricA closely related topic
- Go sideways: Glossary of elementary quantum mechanicsA closely related topic
📖 Definitions
Noun A sum (in some algebras) of a scalar and a vector.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
CONFORMAL STRUCTURES AND TWISTORS IN THE PARAVECTOR MODEL OF SPACETIME
Theory of several paravector variables: Bochner-Martinelli formula and Hartogs theorem
PROMPT: Process Mining and Paravector Tensor-Based Physical Health Monitoring Framework
Approximation in compact balls by convolution operators of quaternion and paravector variable
On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion
Separable Paravector Orientation Tensors for Enhancing Retinal Vessels
On the Zeroes of Clifford Algebra-Valued Polynomials with Paravector Coefficients
📚 Books worth reading
Understanding geometric algebra for electromagnetic theoryJohn W. Arthur · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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