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We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin…

几何拓扑 · 数学 2009-10-05 Sebastian Baader , Masaharu Ishikawa

Notes for the upcoming Workshop on Symplectic Field Theory IX, Polyfolds for SFT. These notes are essentially the first few chapters of a forthcoming book entitled "Polyfold Constructions: Tools, Techniques, and Functors"

辛几何 · 数学 2018-08-16 Joel W. Fish , Helmut Hofer

We present here the concept of three-arm current comparator impedance bridge, which allows comparisons among three unlike impedances. Its purpose is the calibration of impedances having arbitrary phase angles, against calibrated nearly-pure…

仪器与探测器 · 物理学 2014-08-21 Luca Callegaro , Vincenzo D'Elia , Massimo Ortolano , Faranak Pourdanesh

This is a companion technical report of the main manuscript "Semidefinite Relaxation and Approximation Analysis of a Beamformed Alamouti Scheme for Relay Beamforming Networks". The report serves to give detailed derivations of Lemma 1-2 in…

信息论 · 计算机科学 2016-03-18 Sissi Xiaoxiao Wu , Anthony Man-Cho So , Jiaxian Pan , Wing-Kin Ma

In this paper, we study the embedded topology of smooth plane quartics and its bitangent lines via two-graphs and apply it to construct interesting examples for Zariski $m$-ple.

代数几何 · 数学 2019-03-19 Shinzo Bannai , Momoko Yamamoto-Ohno

A novel information-theoretic method for reconstruction of interaction networks is introduced. We prove that the method is exact for some class of networks. Performance tests on large synthetic transcriptional regulatory networks produce…

分子网络 · 定量生物学 2007-05-23 Adam A. Margolin , Ilya Nemenman , Chris Wiggins , Gustavo Stolovitzky , Andrea Califano

After a general introduction, the basic principles of wake-field and beamcoupling- impedance computations are explained. This includes time domain, frequency domain, and methods that do not include excitations by means of a particle beam.…

加速器物理 · 物理学 2018-05-07 Uwe Niedermayer

We completely characterize triangulations of the projective plane that have a spanning bipartite quadrangulation subgraph. This is an affirmative answer to a question by K\"undgen and Ramamurthi (J Combin Theory Ser B 85, 307--337, 2002)…

组合数学 · 数学 2026-04-24 Kenta Noguchi

In this paper we deal with the notion of the effective impedance of AC networks consisting of resistances, coils and capacitors. Mathematically such a network is a locally finite graph whose edges are endowed with complex-valued weights…

组合数学 · 数学 2021-03-05 Anna Muranova

We present novel results related to isomorphic resonance graphs of 2-connected outerplane bipartite graphs. As the main result, we provide a structure characterization for 2-connected outerplane bipartite graphs with isomorphic resonance…

组合数学 · 数学 2025-02-07 Simon Brezovnik , Zhongyuan Che , Niko Tratnik , Petra Žigert Pleteršek

This is a latest survey article on embeddings of multibranched surfaces into 3-manifolds.

几何拓扑 · 数学 2020-05-18 Makoto Ozawa

In this work, generalized hypergeometric functions for bicomplex argument is introduced and its convergence criteria is derived. Furthermore, integral representation of this function has been established. Moreover, quadratic transformation,…

复变函数 · 数学 2025-04-08 Snehasis Bera , Sourav Das , Abhijit Banerjee

Within network analysis, the analytical maximum entropy framework has been very successful for different tasks as network reconstruction and filtering. In a recent paper, the same framework was used for link-prediction for monopartite…

Invited discussion on the paper "Hybrid Semiparametric Bayesian Networks" by David Atienza, Pedro Larranaga and Concha Bielza (TEST, 2022).

统计方法学 · 统计学 2022-11-16 Marco Scutari

In Part I of this series of papers, we made Riley's definition of Heckoid groups for 2-bridge links explicit, and gave a systematic construction of epimorphisms from 2-bridge link groups onto Heckoid groups, generalizing Riley's…

群论 · 数学 2012-10-29 Donghi Lee , Makoto Sakuma

Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multi-crossing projection of L. When L is hyperbolic, this gives new upper bounds on the volume of L…

几何拓扑 · 数学 2017-10-12 Colin Adams , Gregory Kehne

In this paper, we present the invalidities of the results in [3], because of their definition of a semi-invariant submanifold of an almost complex contact metric manifold is not true .

微分几何 · 数学 2020-07-08 Aysel Turgut Vanli

In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1; V2;E), where the maximum degree of vertices in V2 is 4, can G be embedded on a two dimensional grid such that each vertex in V1 is drawn as a…

Analyzing the behavior of complex interdependent networks requires complete information about the network topology and the interdependent links across networks. For many applications such as critical infrastructure systems, understanding…

机器学习 · 计算机科学 2022-11-29 Yu Wang , Jin-Zhu Yu , Hiba Baroud

The present paper is written in response to the critical comments of M.R. Hadizadeh on our original paper Tetraquarks as diquark-antidiquark bound systems [Phys. Lett. B 741, 124 (2015), arXiv:1505.07510]. We present our clarifications on…

高能物理 - 唯象学 · 物理学 2015-08-05 M. Monemzadeh , N. Tazimi , P. Sadeghi