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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

This paper studies invariants of 3-manifolds derived from certain fin ite dimensional Hopf algebras. The invariants are based on right integrals for these algebras. It is shown that the resulting class of invariants is distinct from the…

High Energy Physics - Theory · Physics 2008-02-03 Louis H. Kauffman , David E. Radford

In this small note we correct an error made by Mohammadi et al. in their paper entitled "On Skew Cyclic Codes Over A Finite Ring" ( Iranian Jl. Math. Sci. Inform. Vol 14 (1) (2019), 135-145).

Information Theory · Computer Science 2022-09-20 Swati Bhardwaj , Madhu Raka

Given a finite point set P in general position in the plane, a full triangulation is a maximal straight-line embedded plane graph on P. A partial triangulation is a full triangulation of some subset P' of P containing all extreme points in…

Computational Geometry · Computer Science 2020-08-17 Uli Wagner , Emo Welzl

The paper is devoted to a generalized and improved version of author's approach to Gromov bounded cohomology theory. In particular, the awkward countability assumption is removed and the aspects related to homological algebra are clarified.…

Algebraic Topology · Mathematics 2020-12-17 Nikolai V. Ivanov

A flipturn is an operation that transforms a nonconvex simple polygon into another simple polygon, by rotating a concavity 180 degrees around the midpoint of its bounding convex hull edge. Joss and Shannon proved in 1973 that a sequence of…

In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in the paper "On the linearizability of 3-webs" (Nonlinear analysis 47, (2001) pp.…

Differential Geometry · Mathematics 2007-05-23 Zoltan Muzsnay

Edge-to-edge tilings of the sphere by congruent quadrilaterals are completely classified in a series of three papers. This last one classifies the case of $a^3b$-quadrilaterals with some irrational angle: there are a sequence of…

Combinatorics · Mathematics 2023-06-06 Yixi Liao , Pinren Qian , Erxiao Wang , Yingyun Xu

This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and[9].

Analysis of PDEs · Mathematics 2017-04-25 Daoyin He , Ingo Witt , Huicheng Yin

Using results relating taut foliations and pseudo-Anosov flows, we find cusped hyperbolic 3-manifolds which are not the non-singular part of a pseudo-Anosov flow. In particular, we find the first examples of cusped hyperbolic 3-manifolds…

Geometric Topology · Mathematics 2024-03-27 Misha Schmalian

In this paper, by using the trace map of Frobenius, we consider problems on extending sections for positive characteristic threefolds.

Algebraic Geometry · Mathematics 2015-02-06 Hiromu Tanaka

Based on the large N duality relating topological string theory on Calabi-Yau 3-folds and Chern-Simons theory on 3-manifolds, M. Aganagic, A. Klemm, M. Marino and C. Vafa proposed the topological vertex (hep-th/0305132), an algorithm on…

Algebraic Geometry · Mathematics 2010-08-16 Chiu-Chu Melissa Liu

We explain an error in our paper "A smooth foliation of the 5-sphere by complex surfaces", Ann. Math 156 (2002), p.915-930.

Geometric Topology · Mathematics 2011-06-06 Laurent Meersseman , Alberto Verjovsky

The paper describes and classifies hexagonal circular 3-webs on unit sphere such that the polar points of the web circles lie on a twisted cubic, thus completing classification of hexagonal circular 3-webs with algebraic polar curves of…

Differential Geometry · Mathematics 2025-08-25 Sergey I. Agafonov

This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.

Algebraic Geometry · Mathematics 2008-09-19 Christophe Mourougane , Shigeharu Takayama

In this paper the discussion of the effect of trigonometric series on the theory of integration is continued from an earlier paper by Gluchoff, Trigonometric series and theories of integration, Math.Mag., 67 (1994), 3--20.

Classical Analysis and ODEs · Mathematics 2007-05-23 P. S. Bullen

This version of the paper corrects an inaccuracy in the proof of Theorem 2.9 in the published version. The main results remain unchanged.

Number Theory · Mathematics 2023-01-02 Florin P. Boca , Alexandru Zaharescu

In this paper, we describe geometrical constructions to obtain triangulations of connected sums of closed orientable triangulated 3-manifolds. Using these constructions, we show that it takes time polynomial in the number of tetrahedra to…

Geometric Topology · Mathematics 2009-09-29 Alexander Barchechat

This is an English translation of the following paper, published several years ago: Nikonorov Yu.G., Nikonorova Yu.V. Generalized Popoviciu's problem (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 229-232 (2000), Zbl. 0958.51021. All inserted…

History and Overview · Mathematics 2018-06-12 Yu. G. Nikonorov , Yu. V. Nikonorova

In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P. Appel and D. Korteweg who showed its integrability. The…

Chaotic Dynamics · Physics 2007-05-23 A. V. Borisov , I. S. Mamaev , A. A. Kilin
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