Results 71 to 80 of about 600,804 (334)
Number of components of the nullcone
, 2015 Answering the question of A. Joseph, for every pair $(G, V)$ where $G$ is a connected simple linear algebraic group and $V$ is a simple algebraic $G$-module with a free algebra of invariants, the number of irreducible components of the nullcone of ...
Popov, Vladimir L.
core +1 more source
Modeling and Verification of 1/f Noise Mechanisms in FAPbBr3 Single‐Crystal X‐Ray Detectors
Advanced Electronic Materials, EarlyView.We demonstratethat surface‐trap‐induced carrier number fluctuations are the dominantmechanism in FAPbBr3 Schottky devices, a conclusion supported by thedistinct defect profiles revealed by Drive‐Level Capacitance Profiling (DLCP). Throughnoise contribution decomposition, it is found that the 1/f noise of thedetector is the key noise source affecting ...
Zhongyu Yang +6 more
wiley +1 more source
On algebraic approximations of certain algebraic numbers
Journal of Number Theory, 2003 The main result of the present paper consists of an effective improvement on Liouville's bound for the approximations by rational numbers to algebraic numbers of a special type. Namely, the author considers \(n\)-th roots of imaginary quadratic irrationals.
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AIChE Journal, EarlyView.Abstract Despite extensive modeling efforts in extraction research, transient column models are rarely applied in industry due to concerns regarding parameter identifiability and model reliability. To address this, we analyzed uncertainty propagation from estimated parameters in a previously introduced column model and assessed identifiability via ill ...
Andreas Palmtag +2 more
wiley +1 more source
Journal of Combustion, 2012 The performance of algebraic flame surface density (FSD) models has been assessed for flames with nonunity Lewis number (Le) in the thin reaction zones regime, using a direct numerical simulation (DNS) database of freely propagating turbulent premixed ...
Mohit Katragadda +2 more
doaj +1 more source
Efficient Enumeration of Higher Order Algebraic Structures
IEEE Access, 2020 Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
doaj +1 more source
The Euclidean distance degree of an algebraic variety [PDF]
, 2013 The nearest point map of a real algebraic variety with respect to Euclidean distance is an algebraic function. For instance, for varieties of low rank matrices, the Eckart-Young Theorem states that this map is given by the singular value decomposition ...
Draisma, Jan +4 more
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Advanced Intelligent Discovery, EarlyView.A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi +7 more
wiley +1 more source
Journal of Combinatorial Theory, Series B, 2016 Given a finite point set $P \subset \mathbb{R}^d$, a $k$-ary semi-algebraic relation $E$ on $P$ is the set of $k$-tuples of points in $P$, which is determined by a finite number of polynomial equations and inequalities in $kd$ real variables. The description complexity of such a relation is at most $t$ if the number of polynomials and their degrees are
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source