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Recently, two issues concerning the three-year WMAP likelihood code were pointed out. On large angular scales ($l \lesssim 30$), a sub-optimal likelihood approximation resulted in a small power excess. On small angular scales ($l \gtrsim…

天体物理学 · 物理学 2007-05-23 Jostein R. Kristiansen , Hans Kristian Eriksen , Oystein Elgaroy

We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions and iterated connectives ranging over intervals parameterized by arithmetic variables. The satisfiability problem is shown…

计算机科学中的逻辑 · 计算机科学 2014-01-17 Vincent Aravantinos , Ricardo Caferra , Nicolas Peltier

We propose a novel model in the framework of $f(Q)$ gravity, which is a gravitational modification class arising from the incorporation of non-metricity. The model has General Relativity as a particular limit, it has the same number of free…

广义相对论与量子宇宙学 · 物理学 2021-09-15 Fotios K. Anagnostopoulos , Spyros Basilakos , Emmanuel N. Saridakis

Implicit variables of an optimization problem are used to model variationally challenging feasibility conditions in a tractable way while not entering the objective function. Hence, it is a standard approach to treat implicit variables as…

最优化与控制 · 数学 2025-10-01 Patrick Mehlitz

Let lambda be aleph_0 or a strong limit of cofinality aleph_0. Suppose that (G_m,p_{m,n}:m =< n<omega) and (H_m,p^t_{m,n}: m=< n < omega) are projective systems of groups of cardinality less than lambda and suppose that for every n<omega…

逻辑 · 数学 2007-05-23 Rami Grossberg , Saharon Shelah

An alternative formulation for the controllability problem of single input linear positive systems is presented. Driven by many industrial applications, this formulations focuses on the case where the region of interest is only a subset of…

最优化与控制 · 数学 2017-04-25 Yashar Zeinaly , Jan H. van Schuppen , Bart De Schutter

A recognized trend of research investigates generalizations of the Hadamard's inversion theorem to functions that may fail to be differentiable. In this vein, the present paper explores some consequences of a recent result about the…

最优化与控制 · 数学 2023-09-22 Amos Uderzo

Luminisity distances to the high-redshift Ia supernovas measured by the Supernova Cosmology Project team with the relativistic correction factors for redshift and time dilation led to the sensational conclusion about acceleration of…

天体物理学 · 物理学 2007-05-23 O. G. Semyonov

We obtain linear elasticity as $\Gamma$-limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy densities for rubber-like materials.

偏微分方程分析 · 数学 2020-04-21 Edoardo Mainini , Danilo Percivale

By calculating the O(\alpha_s) corrections to inclusive heavy-to-light sum rules we find model independent upper and lower bounds on form factors for B to pi and B to rho. We use the bounds to rule out model predictions. Some models violate…

高能物理 - 唯象学 · 物理学 2009-10-30 C. Glenn Boyd , I. Z. Rothstein

We employ an adapted version of H\"ormander's asymptotic systems method to show heuristically that the standard good-bad-ugly model admits formal polyhomogeneous asymptotic solutions near null infinity. In a related earlier approach, our…

广义相对论与量子宇宙学 · 物理学 2025-03-24 Miguel Duarte , Justin C. Feng , Edgar Gasperín , David Hilditch

Suppose $\Lambda$ is a discrete infinite set of nonnegative real numbers. We say that $ {\Lambda}$ is type $2$ if the series $s(x)=\sum_{\lambda\in\Lambda}f(x+\lambda)$ does not satisfy a zero-one law. This means that we can find a…

经典分析与常微分方程 · 数学 2018-04-30 Zoltán Buczolich , Bruce Hanson , Balázs Maga , Gáspár Vértesy

We consider the following dichotomy for $\Sigma^0_2$ finitary relations $R$ on analytic subsets of the generalized Baire space for $\kappa$: either all $R$-independent sets are of size at most $\kappa$, or there is a $\kappa$-perfect…

逻辑 · 数学 2016-09-16 Dorottya Sziráki , Jouko Väänänen

Contrary to what Lambare [arXiv:2008.00369] assumes, in non-Newtonian calculus (a calculus based on non-Diophantine arithmetic) an integral is typically given by a nonlinear map. This is the technical reason why all the standard proofs of…

量子物理 · 物理学 2020-08-28 Marek Czachor

The recent success of machine learning models, especially large-scale classifiers and language models, relies heavily on training with massive data. These data are often collected from online sources. This raises serious concerns about the…

人工智能 · 计算机科学 2025-11-12 Ruihan Zhang , Jun Sun , Ee-Peng Lim , Peixin Zhang

In the context of positive infinite-dimensional linear systems, we systematically study $L^p$-admissible control and observation operators with respect to the limit-cases $p=\infty$ and $p=1$, respectively. This requires an in-depth…

泛函分析 · 数学 2025-12-09 Sahiba Arora , Jochen Glück , Lassi Paunonen , Felix L. Schwenninger

Mittag-Leffler modules occur naturally in algebra, algebraic geometry, and model theory, [18], [12], [17]. If $R$ is a non-right perfect ring, then it is known that in contrast with the classes of all projective and flat modules, the class…

环与代数 · 数学 2016-12-06 Jan Šaroch

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

计算机科学中的逻辑 · 计算机科学 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

From a suitable large cardinal hypothesis, we provide a model with a supercompact cardinal in which universal indestructibility holds: every supercompact and partially supercompact cardinal kappa is fully indestructible by kappa-directed…

逻辑 · 数学 2007-05-23 Arthur W. Apter , Joel David Hamkins

Two goals - improving replicability and accountability of Machine Learning research respectively, have accrued much attention from the AI ethics and the Machine Learning community. Despite sharing the measures of improving transparency, the…

计算机与社会 · 计算机科学 2025-08-14 Tianqi Kou
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