Arnold Mathematical Journal最新文献_第4页

Classification of Schubert Galois Groups in $$textit{Gr},(4,9)$$ Gr ( 4 , 9 ) $$textit｛Gr｝，（4,9）$$Gr（4，9）中Schubert-Galois群的分类

Arnold Mathematical Journal Pub Date : 2023-01-17 DOI: 10.1007/s40598-022-00221-2

Abraham Martín del Campo, F. Sottile, Robert Williams

引用次数: 1

Arnold Mathematical Journal Pub Date : 2023-01-05 DOI: 10.1007/s40598-022-00223-0

N.-B. Dang, R. Grigorchuk, M. Lyubich

引用次数: 6

Planar Sections of a Surface Close to an Umbilic 靠近脐带的平面剖面

Arnold Mathematical Journal Pub Date : 2022-12-20 DOI: 10.1007/s40598-022-00222-1

Peter Giblin, Aleksandr Pukhlikov

引用次数: 0

A Generalized Problem Associated to the Kummer–Vandiver Conjecture 与Kummer-Vandiver猜想有关的一个广义问题

Arnold Mathematical Journal Pub Date : 2022-11-07 DOI: 10.1007/s40598-022-00220-3

Hiroki Sumida-Takahashi

引用次数: 0

Efficacy of aerobic and resistance exercises in improving visceral adipose in patients with non-alcoholic fatty liver: a meta-analysis of randomized controlled trials. 有氧运动和阻力运动对改善非酒精性脂肪肝患者内脏脂肪的功效：随机对照试验荟萃分析。

IF 1.4

Arnold Mathematical Journal Pub Date : 2022-11-01 Epub Date: 2022-05-30 DOI: 10.1055/a-1742-4257

Lixiang Fu, Wenyue Zhang, Yupei Ao, Zhongling Zheng, Huaidong Hu

{"title":"Efficacy of aerobic and resistance exercises in improving visceral adipose in patients with non-alcoholic fatty liver: a meta-analysis of randomized controlled trials.","authors":"Lixiang Fu, Wenyue Zhang, Yupei Ao, Zhongling Zheng, Huaidong Hu","doi":"10.1055/a-1742-4257","DOIUrl":"10.1055/a-1742-4257","url":null,"abstract":"Background: Non-alcoholic fatty liver disease (NAFLD) is a common chronic disease that can cause liver deterioration if insufficiently diagnosed and untreated. The verification of whether exercise interventions improve liver enzymes and lipid and glucose parameters is scant.Aim: We conducted this systematic review and meta-analysis to examine the efficacy of aerobic and resistance exercise interventions in patients with NAFLD.Methods: We searched the related studies in the PubMed, Embase, Cochrane Library, and Web of Science databases. We screened 1129 articles published before September 1, 2021, based on the inclusion and exclusion standards, after which 17 articles with a total of 1168 participants were finally included. The indices of liver enzymes and lipid and glucose metabolism were gathered and examined by Stata SE.Results: The outcomes suggested that aerobic and resistance exercise can markedly improve the parameters of liver enzymes, blood lipids, and glucose, and especially visceral adipose tissue (weighted mean different [WMD] = -8.3 at 95% CI [-11.59 to -5.00], p < 0.0001), in patients with NAFLD.Conclusion: This study demonstrated that aerobic and resistance exercises positively affect NAFLD treatment. To further quantify the effects on patients with NAFLD, a more specific and uniform exercise program should be proposed.","PeriodicalId":37546,"journal":{"name":"Arnold Mathematical Journal","volume":"6 1","pages":"1644-1658"},"PeriodicalIF":1.4,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9661875/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72630520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Polyhedral Homotopy Algorithm for Real Zeros 实零点的多面体同胚算法

Arnold Mathematical Journal Pub Date : 2022-10-27 DOI: 10.1007/s40598-022-00219-w

Alperen A. Ergür, Timo de Wolff

引用次数: 3

Jordan Types of Triangular Matrices over a Finite Field 有限域上三角矩阵的Jordan型

Arnold Mathematical Journal Pub Date : 2022-10-13 DOI: 10.1007/s40598-022-00214-1

Dmitry Fuchs, Alexandre Kirillov Sr.

{"title":"Jordan Types of Triangular Matrices over a Finite Field","authors":"Dmitry Fuchs, Alexandre Kirillov Sr.","doi":"10.1007/s40598-022-00214-1","DOIUrl":"10.1007/s40598-022-00214-1","url":null,"abstract":"<div>Let (lambda ) be a partition of an integer n and ({mathbb F}_q) be a finite field of order q. Let (P_lambda (q)) be the number of strictly upper triangular (ntimes n) matrices of the Jordan type (lambda ). It is known that the polynomial (P_lambda ) has a tendency to be divisible by high powers of q and (Q=q-1), and we put (P_lambda (q)=q^{d(lambda )}Q^{e(lambda )}R_lambda (q)), where (R_lambda (0)ne 0) and (R_lambda (1)ne 0). In this article, we study the polynomials (P_lambda (q)) and (R_lambda (q)). Our main results: an explicit formula for (d(lambda )) (an explicit formula for (e(lambda )) is known, see Proposition 3.3 below), a recursive formula for (R_lambda (q)) (a similar formula for (P_lambda (q)) is known, see Proposition 3.1 below), the stabilization of (R_lambda ) with respect to extending (lambda ) by adding strings of 1’s, and an explicit formula for the limit series (R_{lambda 1^infty }). Our studies are motivated by projected applications to the orbit method in the representation theory of nilpotent algebraic groups over finite fields.</div>","PeriodicalId":37546,"journal":{"name":"Arnold Mathematical Journal","volume":"8 3-4","pages":"543 - 559"},"PeriodicalIF":0.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40598-022-00214-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41782923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Correction to: The Dynamics of Complex Box Mappings 对复盒映射动力学的修正

Arnold Mathematical Journal Pub Date : 2022-09-19 DOI: 10.1007/s40598-022-00218-x

Trevor Clark, Kostiantyn Drach, Oleg Kozlovski, Sebastian van Strien

引用次数: 0

Invariant Factors as Limit of Singular Values of a Matrix 不变因子作为矩阵奇异值的极限

Arnold Mathematical Journal Pub Date : 2022-09-16 DOI: 10.1007/s40598-022-00217-y

Kiumars Kaveh, Peter Makhnatch

引用次数: 1

Revisiting Kepler: New Symmetries of an Old Problem 重访开普勒：一个老问题的新对称性

Arnold Mathematical Journal Pub Date : 2022-09-12 DOI: 10.1007/s40598-022-00213-2

Gil Bor, Connor Jackman

{"title":"Revisiting Kepler: New Symmetries of an Old Problem","authors":"Gil Bor, Connor Jackman","doi":"10.1007/s40598-022-00213-2","DOIUrl":"10.1007/s40598-022-00213-2","url":null,"abstract":"<div>The Kepler orbits form a 3-parameter family of unparametrized plane curves, consisting of all conics sharing a focus at a fixed point. We study the geometry and symmetry properties of this family, as well as natural 2-parameter subfamilies, such as those of fixed energy or angular momentum. Our main result is that Kepler orbits is a ‘flat’ family, that is, the local diffeomorphisms of the plane preserving this family form a 7-dimensional local group, the maximum dimension possible for the symmetry group of a 3-parameter family of plane curves. These symmetries are different from the well-studied ‘hidden’ symmetries of the Kepler problem, acting on energy levels in the 4-dimensional phase space of the Kepler system. Each 2-parameter subfamily of Kepler orbits with fixed non-zero energy (Kepler ellipses or hyperbolas with fixed length of major axis) admits (mathrm { PSL}_2(mathbb {R})) as its (local) symmetry group, corresponding to one of the items of a classification due to Tresse (Détermination des invariants ponctuels de l’équation différentielle ordinaire du second ordre (y^{prime prime }= omega (x, y, y^{prime })), vol. 32, S. Hirzel, 1896) of 2-parameter families of plane curves admitting a 3-dimensional local group of symmetries. The 2-parameter subfamilies with zero energy (Kepler parabolas) or fixed non-zero angular momentum are flat (locally diffeomorphic to the family of straight lines). These results can be proved using techniques developed in the nineteenth century by Lie to determine ‘infinitesimal point symmetries’ of ODEs, but our proofs are much simpler, using a projective geometric model for the Kepler orbits (plane sections of a cone in projective 3-space). In this projective model, all symmetry groups act globally. Another advantage of the projective model is a duality between Kepler’s plane and Minkowski’s 3-space parametrizing the space of Kepler orbits. We use this duality to deduce several results on the Kepler system, old and new.\u0000</div>","PeriodicalId":37546,"journal":{"name":"Arnold Mathematical Journal","volume":"9 2","pages":"267 - 299"},"PeriodicalIF":0.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40598-022-00213-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43059024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2