Results 21 to 30 of about 6,357 (153)
The Witt construction describes a functor from the category of Rings to the category of characteristic 0 rings. It is uniquely determined by a few associativity constraints which do not depend on the types of the variables considered, in other words, by integer polynomials.
Marcolli, Matilde, Thorngren, Ryan
openaire +4 more sources
Fuzzy relations are more advanced than crisp binary relations, which are applicable in control systems in artificial intelligence. Our research study develops a fuzzy spherical linear Diophantine fuzzy (SLDFu) relation as a more advanced tool to handle uncertainty in decision‐making.
Muhammad Zohaib +5 more
wiley +1 more source
On a variety of commutative multiplicatively idempotent semirings
We prove that the variety V of commutative multiplicatively idempotent semirings satisfying x + y + xyz = x + y is generated by single semirings. Moreover, we describe a normal form system for terms in V and we show that the word problem in V is solvable.
Chajda, Ivan, Länger, Helmut
core +1 more source
CNN‐Transformer Hybrid Network for Efficient Performance Prediction of Metasurfaces
This paper proposes an efficient metasurface simulation method leveraging deep neural networks to mitigate the time‐consuming and resource‐intensive nature inherent in traditional numerical simulation techniques. The proposed approach harnesses convolutional neural networks (CNNs) to extract metasurface features and employs a transformer network for ...
Yutong Liang +5 more
wiley +1 more source
Finite models for positive combinatorial and exponential algebra
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley +1 more source
A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated.
Aho +22 more
core +2 more sources
Moments, sums of squares, and tropicalization
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
Geometric realizations of the s‐weak order and its lattice quotients
Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
wiley +1 more source
On the Limitations of Provenance for Queries With Difference [PDF]
The annotation of the results of database transformations was shown to be very effective for various applications. Until recently, most works in this context focused on positive query languages.
Amsterdamer, Yael +2 more
core +4 more sources
Homotopical commutative rings and bispans
Abstract We prove that commutative semirings in a cartesian closed presentable ∞$\infty$‐category, as defined by Groth, Gepner, and Nikolaus, are equivalent to product‐preserving functors from the (2,1)‐category of bispans of finite sets. In other words, we identify the latter as the Lawvere theory for commutative semirings in the ∞$\infty$‐categorical
Bastiaan Cnossen +3 more
wiley +1 more source

