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We calculate the degree of the algebra of covariants $\mathcal{C}_d$ for binary $d$-form. Also, for the degree we obtain its integral representation and asymptotic behavior.

环与代数 · 数学 2019-08-27 Leonid Bedratyuk , Nadia Ilash

The configuration database is one of the vital systems in the BaBar on-line system. It provides services for the different parts of the data acquisition system and control system, which require run-time parameters. The original design and…

数据库 · 计算机科学 2007-05-23 R. Bartoldus , G. Dubois-Felsmann , Y. Kolomensky , A. Salnikov

Web Services provide interoperable mechanisms for describing, locating and invoking services over the Internet; composition further enables to build complex services out of simpler ones for complex B2B applications. While current studies on…

软件工程 · 计算机科学 2013-11-12 Manuel Mazzara , Michele Ciavotta

We develop a theory of Valuation Hilbert Modules and prove a version of Beurling's theorem for these. Then we apply our version of Beurling's theorem to obtain complete descriptions of the closed invariant subspaces of a number of Hilbert…

复变函数 · 数学 2023-06-23 Charles W. Neville

This paper discusses a Domain Specific Language (DSL) that has been developed to enable implementation of concepts of discrete mathematics. A library of data types and functions provides functionality which is frequently required by users.…

编程语言 · 计算机科学 2013-10-15 Rohit Jha , Alfy Samuel , Ashmee Pawar , M. Kiruthika

Most current planners assume complete domain models and focus on generating correct plans. Unfortunately, domain modeling is a laborious and error-prone task. While domain experts cannot guarantee completeness, often they are able to…

人工智能 · 计算机科学 2011-04-28 Tuan Nguyen , Subbarao Kambhampati , Minh Do

Let $D$ be an integral domain. Then $D$ is an almost valuation (AV-)domain if for $a, b\in D\setminus \{0\}$ there exists a natural number $n$ with $a^{n}\mid b^{n}$ or $b^{n}\mid a^{n}$. AV-domains are closely related to valuation domains,…

交换代数 · 数学 2019-12-06 Daniel D. Anderson , Shiqi Xing , Muhammad Zafrullah

In this paper, we present an algorithm to compute a basis of the space of algebraic modular forms on the maximal order of the definite quaternion algebra of discriminant $2$, and provide a database of such bases. One of our motivations is…

数论 · 数学 2024-06-04 Hiroyuki Ochiai , Satoshi Wakatsuki , Shun'ichi Yokoyama

Existing calibration algorithms address the problem of covariate shift via unsupervised domain adaptation. However, these methods suffer from the following limitations: 1) they require unlabeled data from the target domain, which may not be…

机器学习 · 计算机科学 2021-10-19 Yunye Gong , Xiao Lin , Yi Yao , Thomas G. Dietterich , Ajay Divakaran , Melinda Gervasio

We study the geometry of convex optimization problems given in a Domain-Driven form and categorize possible statuses of these problems using duality theory. Our duality theory for the Domain-Driven form, which accepts both conic and…

最优化与控制 · 数学 2019-01-23 Mehdi Karimi , Levent Tunçel

The use of Domain-Specific Languages (DSLs) is a promising field for the development of tools tailored to specific problem spaces, effectively diminishing the complexity of hand-made software. With the goal of making models as precise,…

软件工程 · 计算机科学 2019-01-18 Fernando Macías , Uwe Wolter , Adrian Rutle , Francisco Durán , Roberto Rodriguez-Echeverria

We generalize the classical calculus rules satisfied by functions of bounded variation to the framework of RCD spaces. In the infinite dimensional setting we are able to define an analogue of the distributional differential and on finite…

泛函分析 · 数学 2022-04-11 Camillo Brena , Nicola Gigli

We introduce new algorithms and provide example constructions of stabilizer models for the gapped boundaries, domain walls, and $0D$ defects of Abelian composite-dimensional twisted quantum doubles. Using the physically intuitive concept of…

量子物理 · 物理学 2026-04-06 Mohamad Mousa , Amit Jamadagni , Eugene Dumitrescu

A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers. A labelled tableau system is…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Denisa Diaconescu , George Metcalfe , Laura Schnüriger

Probabilistic powerdomain in domain theory plays an important role in modeling the semantics of nondeterministic functional programming languages with probabilistic choice. In this paper, we extend the notion of powerdomain to directed…

一般拓扑 · 数学 2022-03-14 Xiaolin Xie , Hui Kou , Zhenchao Lyu

Domain generalization aims to learn a model with good generalization ability, that is, the learned model should not only perform well on several seen domains but also on unseen domains with different data distributions. State-of-the-art…

机器学习 · 计算机科学 2023-04-04 Boyang Lyu , Thuan Nguyen , Matthias Scheutz , Prakash Ishwar , Shuchin Aeron

Though many safety-critical software systems use floating point to represent real-world input and output, programmers usually have idealized versions in mind that compute with real numbers. Significant deviations from the ideal can cause…

计算机科学中的逻辑 · 计算机科学 2018-05-02 Benjamin Sherman , Luke Sciarappa , Adam Chlipala , Michael Carbin

This paper discusses the extension of the Prototype Verification System (PVS) sub-theory for rings, part of the PVS algebra theory, with theorems related to the division algorithm for Euclidean rings and Unique Factorization Domains that…

计算机科学中的逻辑 · 计算机科学 2024-04-24 Thaynara Arielly de Lima , Andréia Borges Avelar , André Luiz Galdino , Mauricio Ayala-Rincón

Quantum computations are expressed in general as quantum circuits, which are specified by ordered lists of quantum gates. The resulting specifications are used during the optimisation and execution of the expressed computations. However,…

量子物理 · 物理学 2018-08-08 Alexandru Paler , Simon J. Devitt

Superposition is an established decision procedure for a variety of first-order logic theories represented by sets of clauses. A satisfiable theory, saturated by superposition, implicitly defines a minimal term-generated model for the…

人工智能 · 计算机科学 2009-11-30 Matthias Horbach , Christoph Weidenbach