Results 181 to 190 of about 1,958 (231)
The Two-Spin Enigma: From the Helium Atom to Quantum Ontology. [PDF]
Entropy (Basel)Grangier P +4 more
europepmc +1 more source
Special relativity derived from spacetime magma. [PDF]
PLoS One, 2014 Greensite F.
europepmc +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Mach Learn Sci TechnolPapillon M +10 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
2009 Second International Conference on Education Technology and Training, 2009
Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford Algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing ...
Rui Wang, Derui Zhi
openaire +1 more source
Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford Algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing ...
Rui Wang, Derui Zhi
openaire +1 more source
The Structure of the Clifford Algebra
Advances in Applied Clifford Algebras, 2009This lecture deals with the presentation of general properties of Clifford algebra and in particular Clifford algebras for Euclidean or pseudo Euclidean spaces or complex regular spaces.
openaire +3 more sources
Identities on Clifford algebras
Siberian Mathematical Journal, 2008Summary: We obtain some estimates of the codimensions and PI-exponents of identities on the Clifford algebras associated to a quadratic form of a given rank, find a hook where the cocharacters of Clifford algebras lie, exhibit an identity that holds on the Clifford algebras of a given rank, and describe the multilinear identities of minimal degree for ...
openaire +2 more sources
Clifford Algebras and Clifford Modules
1993We study bundles over a point, recalling the definition of the Clifford algebra Cl(V, q) of a real vector space V of dimension m equipped with a positive definite inner product q; the ℤ2-grading of Clifford algebras is shown, followed by an introduction of complex representations of Clifford algebras and the concept of complex Cl(V, q)-modules and of ...
Bernhelm Booß-Bavnbek +1 more
openaire +1 more source
Roots of algebraic equations and Clifford algebra
Advances in Applied Clifford Algebras, 1999The author investigates roots of real polynomials inside the real two-dimensional Clifford algebra with generator \(\varepsilon\), \(\varepsilon^2=1\), calling the elements of this algebra hyperbolic. The corresponding numbers of real and hyperbolic roots of a polynomial are calculated.
openaire +1 more source