Results 21 to 30 of about 7,352,836 (227)
Quantum ReportsWe develop detailed quaternionic and octonionic frameworks for quantum computation grounded on normed division algebras. Our central result is to prove the polynomial computational equivalence of quaternionic and complex quantum models: Computation over ...
Johan Heriberto Rúa Muñoz +2 more
doaj +1 more source
Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core +3 more sources
Real commutative division algebras
, 2007 The category of all two-dimensional real commutative division algebras is shown to split into two full subcategories. One of them is equivalent to the category of the natural action of the cyclic group of order 2 on the open right half plane ℝ>0 × ℝ ...
Darpö, Erik,, Dieterich, Ernst,
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A question on the discriminants of involutions of central division algebras
Mathematische Annalen, 1993 Let \(D\) be a finite-dimensional central simple algebra over a field \(k\) of characteristic not 2 with a \(k\)-linear involution \(\sigma\) of orthogonal type. As for quadratic forms, one can associate to \(\sigma\) a discriminant with values in \(k^ \times/{k^ \times}^ 2\). Assume that \(\dim D \geq 16\).
Parimala, R., Sridharan, R., Suresh, V.
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Minimal systems of generators for central division algebra and semi-simple algebra
Chinese Science Bulletin, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, Qizhang, Sun, Ling
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Advanced Science, EarlyView.A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai +3 more
wiley +1 more source
Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
wiley +1 more source
Advanced Science, EarlyView.Electroforming‐free, self‐rectifying switching with polarity‐dependent threshold modulation is realized in selector‐only memory through Cu‐ion migration in a bilayer stacked dual functional materials. Ultrafast rupturing of Cu filament enables drift‐free operation with high stability.
Jae‐Kyeong Kim +7 more
wiley +1 more source
Symmetric Units and Group Identities in Group Algebras [PDF]
, 2006 We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group ...
Bódi, Viktor, Bovdi, Victor
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