Results 121 to 130 of about 273 (174)
Structured Dynamics in the Algorithmic Agent. [PDF]
Ruffini G, Castaldo F, Vohryzek J.
europepmc +1 more source
The number of regular simplices in higher dimensions
Abstract We study the extremal function Sdk(n)$S^k_d(n)$, defined as the maximum number of regular (k−1)$(k-1)$‐simplices spanned by n$n$ points in Rd$\mathbb {R}^d$. For any fixed d⩾2k⩾6$d\geqslant 2k\geqslant 6$, we determine the asymptotic behavior of Sdk(n)$S^k_d(n)$ up to a lower‐order term.
Felix Christian Clemen +2 more
wiley +1 more source
A Fiducial-Marker-Based Localization Method for Automotive Chassis Bolt Assembly. [PDF]
Peng X, Xiao Y, Chen Z, Chen K, Huang H.
europepmc +1 more source
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source
Abstract Differential categories provide the categorical foundations for the algebraic approaches to differentiation. They have been successful in formalizing various important concepts related to differentiation, such as, in particular, derivations. In this paper, we show that the differential modality of a differential category lifts to a monad on ...
Jean‐Simon Pacaud Lemay, Chiara Sava
wiley +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
A cluster of results on amplituhedron tiles. [PDF]
Even-Zohar C +5 more
europepmc +1 more source
Abstract Accurately predicting solute transport remains a central challenge in hydrogeology due to limited data and multiscale subsurface heterogeneity. Fractional Brownian motion (fBm) is widely used to model the logarithm of hydraulic conductivity fields.
Binhao Li +2 more
wiley +1 more source
Advanced Applications of Polymer Hydrogels in Electronics and Signal Processing. [PDF]
Suleimenov I +5 more
europepmc +1 more source
A Hybrid‐High Order Method for Fracture Modelling
ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa +4 more
wiley +1 more source

