Results 71 to 80 of about 47,483 (247)

Investigating the motivational and knowledge affordances of conversational AI using induction, concretization and exemplification in math learning

British Journal of Educational Technology, Volume 56, Issue 5, Page 1814-1841, September 2025.
Abstract A promising approach to support students' math learning effectively, automatically and at scale within existing learning environments is conversational artificial intelligence (ConvAI). Although previous studies have suggested ConvAI's potential to guide, facilitate and enhance learning, its effects on students' conceptual change and academic ...
Chenglu Li, Bailing Lyu
wiley   +1 more source

Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group $W$ and two skew-polynomial subalgebras of anticommuting generators.
Ta Khongsap, Weiqiang Wang
doaj   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

AUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +1 more source

Algebra de Clifford del espacio tiempo

Momento, 1990
En un artículo previo, presentamos la estructura y relaciones básicas del algebra de Clifford Gn generada por el producto geométrico de los vectores de un espacio vectorial Vn sobre el cuerpo de los reales en la versión moderna de Hestenes. Este artículo
Ma. Carolina Spinel G.
doaj  

Explicit isomorphisms of real Clifford algebras

International Journal of Mathematics and Mathematical Sciences, 2006
It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ.
N. Değırmencı, Ş. Karapazar
doaj   +1 more source

Time as a geometric property of space

Frontiers in Physics, 2016
The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell, John Gideon Hartnett, Nicolangelo Iannella, Azhar Iqbal, Derek Abbott   +4 more
doaj   +1 more source

Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm's hidden variables. [PDF]

Sci Rep, 2022
Santilli RM, Sobczyk G.
europepmc   +1 more source

Clifford Algebra with Mathematica [PDF]

, 2008
The Clifford algebra of a n-dimensional Euclidean vector space provides a general language comprising vectors, complex numbers, quaternions, Grassman algebra, Pauli and Dirac matrices. In this work, we present an introduction to the main ideas of Clifford algebra, with the main goal to develop a package for Clifford algebra calculations for the ...
Aragon-Camarasa, G., Aragon-Gonzalez, G., Aragon, J.L., Andrade, M.A.   +3 more
openaire   +2 more sources

基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)

Zhejiang Daxue xuebao. Lixue ban, 2016
We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德), LIFang(李方)   +1 more
doaj   +1 more source

New spinor classes on the Graf-Clifford algebra

Journal of High Energy Physics, 2018
Pinor and spinor fields are sections of the subbundles whose fibers are the representation spaces of the Clifford algebra of the forms, equipped with the Graf product.
R. Lopes, R. da Rocha
doaj   +1 more source