Results 71 to 80 of about 13,394,361 (202)
In this degree thesis, we present some of the theory of integer binary quadratic forms, namely the classification by discriminant, proper equivalence relation, the composition laws and their connection to the ideal class groups.
Felipe i Alsina, Marc
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Binary Quadratic Forms: Properties, Groups, and Ideals
Close your eyes, and pick your favorite integer (ours is 73). Can you find two other integers whose sum of squares adds up to your favorite number? For example, we found that32+82=73. In this paper, we will explore these sums of squares, which are a type
Gonzalez, Alejandro +4 more
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Vine copula knockoffs for variable selection in gene expression studies
Abstract Identifying clinical and genetic markers is essential for stratifying cancer patients by survival outcomes and guiding personalized treatment strategies. However, gene expression studies often involve high‐dimensional predictors with mixed data types and complex dependence, which complicates reliable variable selection.
José Ulises Márquez Urbina +3 more
wiley +1 more source
An Analysis of the Reduction Algorithms for Binary Quadratic Forms
We prove in this paper that the classical reduction algorithms for integral binary quadratic forms have quadratic running time. 1 Introduction The reduction algorithm for binary quadratic forms, invented by Lagrange, Legendre, and Gauß is one of the ...
Johannes Buchmann +3 more
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Lasso for hierarchical polynomial models
Abstract The divisibility conditions implicit in a polynomial hierarchy suggest parameter constraints in regression. With this idea, we establish strong and weak hierarchies for both the lasso and relaxed lasso. Our proposal extends prior work on hierarchical lasso, which was mainly concerned with models of degree 2.
H. Maruri‐Aguilar, S. Lunagómez
wiley +1 more source
Binary Quadratic Forms over F[T] and Principal Ideal Domains [PDF]
This paper concerns binary quadratic forms over F[T]. It develops theory analogous to the theory of binary quadratic forms over the integers. Most although not all of the results are almost identical, while some of the proofs require different techniques.
Beyerl, Jeff
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Binary quadratic forms: an algorithmic approach
The book deals with algorithmic problems related to binary quadratic forms, such as finding the representations of an integer by a form with integer coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms.
Vollmer, Ulrich, Buchmann, Johannes
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ABSTRACT This study examines the relationship between corporate social responsibility (CSR) and corporate tax avoidance (CTA) in the European Union, exploiting institutional variation arising from CSR disclosure regimes and the introduction of the Anti‐Tax Avoidance Directives (ATAD).
Alessandro Migliavacca
wiley +1 more source
Impact of Emission Reduction Targets on Corporate Greenwashing: International Empirical Evidence
ABSTRACT This study investigates the influence of emission reduction target characteristics on corporate greenwashing propensity. Through the analysis of 4938 international observations via probit regression, we examine four key dimensions: science‐based validation, target compliance, timeframe, and organizational coverage.
Antonio J. Mateo‐Márquez +2 more
wiley +1 more source
Positive definite binary quadratic forms and modules over a field
There has been a connection between binary quadratic forms and modules. Given any quadratic form F, there corresponds a module M-F, and conversely given any module M, there corresponds a binary quadratic form FM.
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