Results 21 to 30 of about 1,593 (46)
Machine Learning in Polymer Research
Artificial intelligence (AI) has permeated every aspect of science, including polymer research. Researchers from both fields need to collaborate to understand the challenges and opportunities of each domain. This review is therefore written by mathematicians and polymer chemists to highlight the key research questions polymer chemists aim to address ...
Wei Ge +4 more
wiley +1 more source
Organic electrochemical transistors (OECTs) are essential for bioelectronics, neuromorphics, and flexible electronics. This review examines additive manufacturing advances for OECTs, covering printing techniques, device architectures, and applications including biochemical sensing, neuromorphic, green bio‐electronics, self‐healable, and 4D electronics.
Roberto Granelli +2 more
wiley +1 more source
Following the previous works on the A. Pr\'astaro's formulation of algebraic topology of quantum (super) PDE's, it is proved that a canonical Heyting algebra ({\em integral Heyting algebra}) can be associated to any quantum PDE.
Prástaro, Agostino
core +1 more source
The rank of sparse symmetric matrices over arbitrary fields
Abstract Let 𝔽 be an arbitrary field and (Gn,d/n)n$$ {\left({\boldsymbol{G}}_{n,d/n}\right)}_n $$ be a sequence of sparse weighted Erdős–Rényi random graphs on n$$ n $$ vertices with edge probability d/n$$ d/n $$, where weights from 𝔽∖{0} are assigned to the edges according to a matrix Jn$$ {J}_n $$.
Remco van der Hofstad +2 more
wiley +1 more source
Positive representations of $C_0(X)$. I
We introduce the notion of a positive spectral measure on a $\sigma$-algebra, taking values in the positive projections on a Banach lattice. Such a measure generates a bounded positive representation of the bounded measurable functions.
de Jeu, Marcel, Ruoff, Frejanne
core +1 more source
Chow rings of matroids as permutation representations
Abstract Given a matroid with a symmetry group, we study the induced group action on the Chow ring of the matroid with respect to symmetric building sets. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem.
Robert Angarone +2 more
wiley +1 more source
Representations of \'etale groupoids on $L^p$-spaces
For $p\in (1,\infty)$, we study representations of \'etale groupoids on $L^{p}$-spaces. Our main result is a generalization of Renault's disintegration theorem for representations of \'etale groupoids on Hilbert spaces.
Gardella, Eusebio, Lupini, Martino
core +1 more source
ABSTRACT In a pure event semantics for natural language, the domain of quantification and predication is limited to events and states. I offer pure event semantic analyses of several phenomena, some of which have not been treated before in formal semantics. In the pure event semantics sketched in the second section, nouns are state predicates, and this
Roger Schwarzschild
wiley +1 more source
What does a group algebra of a free group know about the group?
We describe solutions to the problem of elementary classification in the class of group algebras of free groups. We will show that unlike free groups, two group algebras of free groups over infinite fields are elementarily equivalent if and only if the ...
Kharlampovich, O., Miasnikov, A.
core +1 more source
Harder–Narasimhan filtrations of persistence modules
Abstract The Harder–Narasimhan (HN) type of a quiver representation is a discrete invariant parameterised by a real‐valued function (called a central charge) defined on the vertices of the quiver. In this paper, we investigate the strength and limitations of HN types for several families of quiver representations which arise in the study of persistence
Marc Fersztand +3 more
wiley +1 more source

