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In the present article, we have given a corrigendum to our paper ``On (p,q)-analogue of Bernstein operators" published in Applied Mathematics and Computation 266 (2015) 874-882.

Classical Analysis and ODEs · Mathematics 2015-11-23 M. Mursaleen , Khursheed J. Ansari , Asif Khan

We provide a correction to the expression for scoring Gaussian directed acyclic graphical models derived in Geiger and Heckerman [Ann. Statist. 30 (2002) 1414-1440] and discuss how to evaluate the score efficiently.

Machine Learning · Statistics 2022-05-06 Jack Kuipers , Giusi Moffa , David Heckerman

The goal of this thesis is threefold: first, to provide a general semantic setting for reasoning about incremental computation. Second, to establish and clarify the connection between derivatives in the incremental sense and derivatives in…

Logic in Computer Science · Computer Science 2020-06-30 Mario Alvarez-Picallo

Based on previous work we consturct an equation (Lagrange equation) and relate it with a system of generalized integrals and differential equations in such a way to provide useful evaluations and connections between them.

General Mathematics · Mathematics 2025-09-26 Nikos Bagis

Cantor's algebraic calculation of the power of the continuum contains an easily repairable error related to Cantor own way of defining the addition of cardinal numbers. The appropriate correction is suggested.

General Mathematics · Mathematics 2007-05-23 Antonio Leon

In this paper, we give a new generalization of the Bohr inequality in refined form both for bounded analytic functions, and for sense-preserving harmonic functions with analytic part being bounded.

Complex Variables · Mathematics 2021-04-15 Saminathan Ponnusamy , Ramakrishnan Vijayakumar

A survey of recent results concerning cardinal invariants of measure and category. Submitted as a chapter of the upcoming Handbook of Set Theory.

Logic · Mathematics 2007-05-23 Tomek Bartoszynski

This is a companion piece to my paper on "Example-Based Procedural Modeling Using Graph Grammars." This paper examines some of the theoretical issues in more detail. This paper discusses some more complex parts of the implementation, why…

Graphics · Computer Science 2023-09-04 Paul Merrell

(One typo corrected and one incorrect statement removed. Extra details on conserved quantities and symmetry algebras added).

General Relativity and Quantum Cosmology · Physics 2009-10-22 James D. E. Grant

The paper (as posted originally) contains several errors. It has been subsequently split into two papers, the corrected (and accepted for publication) versions appear in the archive as papers cs.CC/0503082 and cs.DM/0503083.

Computational Complexity · Computer Science 2007-05-23 Gabriel Istrate

This text is an appendix to our work "On the growth of Kronecker coefficients", arXiv:1607.02887. Here, we provide some complementary theorems, remarks, and calculations that for the sake of space are not going to appear into the final…

Representation Theory · Mathematics 2016-11-23 Emmanuel Briand , Amarpreet Rattan , Mercedes Rosas

This supplementary material includes three parts: some preliminary results, four examples, an experiment, three new algorithms, and all proofs of the results in the paper "Reversible MCMC on Markov equivalence classes of sparse directed…

Machine Learning · Statistics 2013-08-13 Yangbo He , Jinzhu Jia , Bin Yu

In this survey we overview known results and get several new results on digraph compositions which generalize several classes of digraphs, such as quasi-transitive digraphs. After an introductory section, the paper is divided into six…

Combinatorics · Mathematics 2023-06-16 Yuefang Sun

An analytic formula for the two-loop QCD correction of the decay H --> 2 gamma is presented. To evaluate all master integrals a `Risch-like' algorithm was exploited.

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Fleischer , O. V. Tarasov , V. O. Tarasov

In this appendix we provide additional supplementary material to "A Collective, Probabilistic Approach to Schema Mapping." We include an additional extended example, supplementary experiment details, and proof for the complexity result…

Databases · Computer Science 2017-02-14 Angelika Kimmig , Alex Memory , Renee J. Miller , Lise Getoor

This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as functions that take as input a matrix and…

History and Overview · Mathematics 2025-01-28 Paige Bright , Alan Edelman , Steven G. Johnson

This document provides some technical notes on the polar field correction scheme for the HMI synoptic maps and daily updated synchronic frames. It is intended as a reference for the new data products and for some minor updates on our…

Solar and Stellar Astrophysics · Physics 2018-01-15 Xudong Sun

We suggest an enhancement to structural coding through the use of (a) causally bound codes, (b) basic constructs of graph theory and (c) statistics. As is the norm with structural coding, the codes are collected into categories. The…

Digital Libraries · Computer Science 2021-07-30 Etienne-Victor Depasquale , Humaira Abdul Salam , Franco Davoli

We perform a chiral one-loop calculation of the unitarity corrections to the processes K+ -> pi+ gamma l+l- up to O(E^6), taking into account pi+pi- intermediate states. Branching ratios and differential branching ratios are computed and…

High Energy Physics - Phenomenology · Physics 2011-08-17 Fabrizio Gabbiani

In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for which we provide an improved definition, the Computability Path…

Logic in Computer Science · Computer Science 2008-12-18 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio