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All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classification of algebras with given number of subalgebras, left(right) ideals are provided. In particular, a list of…

Rings and Algebras · Mathematics 2019-10-11 H. Ahmed , U. Bekbaev , I. Rakhimov

The language and methods of algebraic topology, particularly homotopy theory, have been extensively used in the study of the identification, the classification and the evolution of defects. Topological methods provide the means for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. D. M. Kavoussanaki

One of the main obstacle to study compactness in topological spaces via ideals was the definition of ideal convergence of subsequences as in the existing literature according to which subsequence of an ideal convergent sequence may fail to…

General Topology · Mathematics 2021-07-02 Manoranjan Singha , Sima Roy

Several numerical indices that control the normalization of ideals are introduced and some relationships among them are derived.

Commutative Algebra · Mathematics 2010-06-24 Claudia Polini , Bernd Ulrich , Wolmer V Vasconcelos , Rafael Villarreal

We introduce a "workable" notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic B\'ezout Inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators. We…

Symbolic Computation · Computer Science 2017-01-17 Amir Hashemi , Joos Heintz , Luis Miguel Pardo , Pablo Solernó

Digital pathology is not only one of the most promising fields of diagnostic medicine, but at the same time a hot topic for fundamental research. Digital pathology is not just the transfer of histopathological slides into digital…

Artificial Intelligence · Computer Science 2017-12-20 Andreas Holzinger , Bernd Malle , Peter Kieseberg , Peter M. Roth , Heimo Müller , Robert Reihs , Kurt Zatloukal

Path-specific effects are a broad class of mediated effects from an exposure to an outcome via one or more causal pathways with respect to some subset of intermediate variables. The majority of the literature concerning estimation of…

Path-integral for theories with degenerate vacua is investigated. The origin of the non Borel-summability of the perturbation theory is studied. A new prescription to deal with small coupling is proposed. It leads to a series, which at low…

High Energy Physics - Theory · Physics 2009-10-22 Hideaki Aoyama , Arihiro Tamura

Purpose: Factor analysis (FA) has become part and parcel in metabolic syndrome (MBS) research. Both exploration- and confirmation-driven factor analyzes are rampant. However, factor analytic results on MBS differ widely. A situation that is…

Applications · Statistics 2016-09-09 Carel F. W. Peeters , James Dziura , Floryt van Wesel

Some mistakes have been corrected

High Energy Physics - Theory · Physics 2009-10-22 A. J. Niemi , O. Tirkkonen

The translation is not verbatim, many parts have been abbreviated and in some case alternative proofs were devised emphasizing intuition.

Differential Geometry · Mathematics 2019-03-05 V. N. Lagunov , A. I. Fet

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

Methodology · Statistics 2026-04-22 Jiawei Fu , Donald P. Green

With medical tests becoming increasingly available, concerns about over-testing and over-treatment dramatically increase. Hence, it is important to understand the influence of testing on treatment selection in general practice. Most…

Methodology · Statistics 2020-08-11 Yun Li , Irina Bondarenko , Michael R. Elliott , Timothy P. Hofer , Jeremy M. G. Taylor

In the context of two illustrative examples from supersymmetric quantum mechanics we show that the semi-classical analysis of the path integral requires complexification of the configuration space and action, and the inclusion of complex…

High Energy Physics - Theory · Physics 2016-01-13 Alireza Behtash , Gerald V. Dunne , Thomas Schaefer , Tin Sulejmanpasic , Mithat Unsal

We consider the problem of inference on the signs of $n>1$ parameters. We aim to provide $1-\alpha$ post-hoc confidence bounds on the number of positive and negative (or non-positive) parameters. The guarantee is simultaneous, for all…

Methodology · Statistics 2024-03-05 Ruth Heller , Aldo Solari

We determine (multi)graded Betti numbers of path ideals of lines and star graphs.

Commutative Algebra · Mathematics 2014-10-31 Nursel Erey

We discuss various aspects of noncommutative geometry of smooth subalgebras of Bunce-Deddens-Toeplitz Algebras.

Operator Algebras · Mathematics 2022-05-18 Slawomir Klimek , Matt McBride , John Wilson Peoples

We study asymptotics for the intergal of irrationality measure functions.

Number Theory · Mathematics 2015-08-14 Denis Shatskov

This article gives a brief survey of the theory and applications of anomalies.

High Energy Physics - Theory · Physics 2007-05-23 Stephen L. Adler

We study the ideal of meager sets and related ideals.

Logic · Mathematics 2007-05-23 Tomek Bartoszynski , Haim Judah
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