Enhancing mathematical learning outcomes through a low-cost single-channel BCI system. [PDF]
Hou Z, Li X, Yang J, Xu SY.
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A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems. [PDF]
Andreou M, Chen N.
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"Best" Iterative Coupled-Cluster Triples Model? More Evidence for 3CC. [PDF]
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Low-Scaling, Efficient and Memory Optimized Computation of Nuclear Magnetic Resonance Shieldings within the Random Phase Approximation Using Cholesky-Decomposed Densities and an Attenuated Coulomb Metric. [PDF]
Drontschenko V, Ochsenfeld C.
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Majorana quasiparticles and topological phases in 3D active nematics. [PDF]
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ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
International Journal of Geometric Methods in Modern Physics, 2008We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector.
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Topologically Algebraic Algebras [PDF]
We show that a locally convex algebra is topologically algebraic if, and only if, it is algebraic.
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Algebraic invariants and their differential algebras
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 2010We review the algebraic foundations we developed to work with differential invariants of finite dimensional group actions. Those support the algorithms we introduced to operate symmetry reduction with a view towards differential elimination.
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Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra) [PDF]
Operator algebras play a fundamental role in algebraic quantum field theory. In order to understand this, one has first to understand the crucial algebraic structures of the Euclidean space. The point is that relevant products possess an invariant meaning, that is, they are independent of the choice of a basis of the Euclidean space.
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