Results 31 to 40 of about 13,595 (306)
The general form of local bilinear functions [PDF]
summary:The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces $
Práger, Milan
core +1 more source
Positively curved bilinear forms [PDF]
A characterisation of the positivity of sectional curvature is given in terms of the angular spread of the second fundamental form.
Sarkaria, K. S., Zoltek, S. M.
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Exact solutions of the classical Boussinesq system
In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
doaj +1 more source
In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj +1 more source
Interpolation with bilinear differential forms [PDF]
We present a recursive algorithm for modeling with bilinear differential forms. We discuss applications of this algorithm for interpolation with symmetric bivariate polynominals, and for computing storage functions for autonomous systems.
Ishan Pendharkar +2 more
openaire +1 more source
A bilinear form relating two Leonard systems
Let Φ, Φ′ be Leonard systems over a field K, and V, V′ the vector spaces underlying Φ, Φ′, respectively. In this paper, we introduce and discuss a balanced bilinear form on V×V′.
Tanaka, Hajime
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Structure vs Randomness for Bilinear Maps
Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
doaj +1 more source
The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu +5 more
doaj +1 more source
Multimodal Data‐Driven Microstructure Characterization
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
A data‐ and theory‐guided paradigm, leveraging large‐scale data mining of 718 catalysts and microkinetic modeling, identifies V‐doped RuO2 as optimal for acidic OER. Vanadium doping drives electron withdrawal from Ru centers, generating Lewis acidic sites that polarize O–H bonds and accelerate deprotonation kinetics. Experimental validation achieves an
Zhongliang Liu +10 more
wiley +2 more sources

