Results 91 to 100 of about 349 (256)

Nonlinear Lie derivations of triangular algebras

Linear Algebra and its Applications, 2010
Let \(\mathcal A\) be an algebra over a commutative ring \(\mathcal R\). A map \(\delta\colon\mathcal A\to\mathcal A\) is called an additive derivation if it is additive and satisfies \(\delta(xy)=\delta(x)y+x\delta(y)\) for all \(x,y\in\mathcal A\). If there exists an element \(a\in\mathcal A\) such that \(\delta(x)=[x,a]\) for all \(x\in\mathcal A\),
Yu, Weiyan, Zhang, Jianhua
openaire   +2 more sources

Bayesian inference for dynamic Q matrices and attribute trajectories in hidden Markov diagnostic classification models

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time‐varying Q matrices, latent attributes, item parameters, attribute class proportions and transition ...
Chen‐Wei Liu
wiley   +1 more source

Finite Comparison Algebras for Motivic Projectors and Triangular Stability

Mathematics
We study a finite-stage criterion for representing auxiliary or motivated idempotents by ordinary motivic projectors. To a fixed finite list of operations on a motive M we attach a finite comparison algebra EΓ(M), a finite-dimensional ordinary comparison
Jiaming Luo
doaj   +1 more source

On (Co)homology of triangular Banach algebras [PDF]

Banach Center Publications, 2005
Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unital T-bimodule, X_{AA}=1_AX1_A, X_{BB}=1_BX1_B, X_{AB}=1_AX1_B and X_{BA}=1_BX1_A.
openaire   +2 more sources

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

Axioms
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
doaj   +1 more source

Graded triangular algebras

The Electronic Journal of Linear Algebra, 2014
The structure of graded triangular algebras T of arbitrary dimension are studied in this paper. This is motivated in part for the important role that triangular algebras play in the study of oriented graphs, upper triangular matrix algebras or nest algebras.
openaire   +1 more source

Survey on differential estimators for 3d point clouds

Computer Graphics Forum, EarlyView.
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger, Thibault Lejemble, David Coeurjolly, Loïc Barthe, Nicolas Mellado   +4 more
wiley   +1 more source

Special Vinberg cones of rank 4

Journal of High Energy Physics
E.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
doaj   +1 more source

Gradings on the algebra of triangular matrices as a Lie algebra: Revisited

Journal of Algebra
We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the same authors. We provide streamlined proofs, and present a complete classification of isomorphism classes of the gradings.
Plamen Koshlukov, Felipe Yukihide Yasumura   +1 more
openaire   +3 more sources