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Monatshefte fur Mathematik最新文献

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Operator differential-algebraic equations with noise arising in fluid dynamics. 流体力学中带有噪声的算子微分代数方程。
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2017-01-01 Epub Date: 2016-05-24 DOI: 10.1007/s00605-016-0931-z
Robert Altmann, Tijana Levajković, Hermann Mena
{"title":"Operator differential-algebraic equations with noise arising in fluid dynamics.","authors":"Robert Altmann,&nbsp;Tijana Levajković,&nbsp;Hermann Mena","doi":"10.1007/s00605-016-0931-z","DOIUrl":"https://doi.org/10.1007/s00605-016-0931-z","url":null,"abstract":"<p><p>We study linear semi-explicit stochastic operator differential algebraic equations (DAEs) for which the constraint equation is given in an explicit form. In particular, this includes the Stokes equations arising in fluid dynamics. We combine a white noise polynomial chaos expansion approach to include stochastic perturbations with deterministic regularization techniques. With this, we are able to include Gaussian noise and stochastic convolution terms as perturbations in the differential as well as in the constraint equation. By the application of the polynomial chaos expansion method, we reduce the stochastic operator DAE to an infinite system of deterministic operator DAEs for the stochastic coefficients. Since the obtained system is very sensitive to perturbations in the constraint equation, we analyze a regularized version of the system. This then allows to prove the existence and uniqueness of the solution of the initial stochastic operator DAE in a certain weighted space of stochastic processes.</p>","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"182 4","pages":"741-780"},"PeriodicalIF":0.9,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00605-016-0931-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37782392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Analysis of carries in signed digit expansions. 有符号数字扩展中的携带分析。
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2017-01-01 Epub Date: 2016-06-10 DOI: 10.1007/s00605-016-0917-x
Clemens Heuberger, Sara Kropf, Helmut Prodinger
{"title":"Analysis of carries in signed digit expansions.","authors":"Clemens Heuberger, Sara Kropf, Helmut Prodinger","doi":"10.1007/s00605-016-0917-x","DOIUrl":"10.1007/s00605-016-0917-x","url":null,"abstract":"<p><p>The number of positive and negative carries in the addition of two independent random signed digit expansions of given length is analyzed asymptotically for the (<i>q</i>, <i>d</i>)-system and the symmetric signed digit expansion. The results include expectation, variance, covariance between the positive and negative carries and a central limit theorem. Dependencies between the digits require determining suitable transition probabilities to obtain equidistribution on all expansions of given length. A general procedure is described to obtain such transition probabilities for arbitrary regular languages. The number of iterations in von Neumann's parallel addition method for the symmetric signed digit expansion is also analyzed, again including expectation, variance and convergence to a double exponential limiting distribution. This analysis is carried out in a general framework for sequences of generating functions.</p>","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"182 2","pages":"299-334"},"PeriodicalIF":0.9,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7175708/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37890154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Compendium der höheren Analysis 微积分整合器
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2016-03-08 DOI: 10.1007/BF01708519
R. Sterneck
{"title":"Compendium der höheren Analysis","authors":"R. Sterneck","doi":"10.1007/BF01708519","DOIUrl":"https://doi.org/10.1007/BF01708519","url":null,"abstract":"","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"19 1","pages":"A22-A23"},"PeriodicalIF":0.9,"publicationDate":"2016-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72736242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cours de géometrie analytique 分析几何课程
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2016-03-08 DOI: 10.1007/BF01708544
G. Kohn
{"title":"Cours de géometrie analytique","authors":"G. Kohn","doi":"10.1007/BF01708544","DOIUrl":"https://doi.org/10.1007/BF01708544","url":null,"abstract":"","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"1 1","pages":"A55-A56"},"PeriodicalIF":0.9,"publicationDate":"2016-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83307395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Funktionentafeln mit Formeln in Kurven 在曲线里组合出公式
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2015-08-27 DOI: 10.1007/BF01693315
E. Jahnke, F. Emde
{"title":"Funktionentafeln mit Formeln in Kurven","authors":"E. Jahnke, F. Emde","doi":"10.1007/BF01693315","DOIUrl":"https://doi.org/10.1007/BF01693315","url":null,"abstract":"","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"1 1","pages":"A55-A56"},"PeriodicalIF":0.9,"publicationDate":"2015-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74256375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 62
Leçons sur la propagation des ondes et les equations de l'hydrodynamique 关于波传播和水动力学方程的课程
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2015-05-12 DOI: 10.1007/BF01693861
J. Hadamard
{"title":"Leçons sur la propagation des ondes et les equations de l'hydrodynamique","authors":"J. Hadamard","doi":"10.1007/BF01693861","DOIUrl":"https://doi.org/10.1007/BF01693861","url":null,"abstract":"","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"28 1","pages":"A59-A60"},"PeriodicalIF":0.9,"publicationDate":"2015-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88745436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 408
Characterisation of cylindrical curves. 圆柱曲线的表征。
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2015-01-01 Epub Date: 2014-12-05 DOI: 10.1007/s00605-014-0705-4
E L Starostin, G H M van der Heijden
{"title":"Characterisation of cylindrical curves.","authors":"E L Starostin,&nbsp;G H M van der Heijden","doi":"10.1007/s00605-014-0705-4","DOIUrl":"https://doi.org/10.1007/s00605-014-0705-4","url":null,"abstract":"<p><p>We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular cylinder.</p>","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"176 3","pages":"481-491"},"PeriodicalIF":0.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00605-014-0705-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33052621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Traité d'Analyse 分析》
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2013-10-01 DOI: 10.14375/NP.9782369430278
É. Picard
{"title":"Traité d'Analyse","authors":"É. Picard","doi":"10.14375/NP.9782369430278","DOIUrl":"https://doi.org/10.14375/NP.9782369430278","url":null,"abstract":"Ouvrage de mathematiques pures, ce Traite d’analyse fait la part belle a l’equation celebre de Laplace, dont depend toute la theorie des fonctions analytiques. Mais Emile Picard y aborde egalement les fonctions algebriques et les integrales abeliennes ou encore les surfaces de Riemann et le theoreme de Cauchy. Par son exhaustivite et sa pertinence, son etude reste aujourd’hui un traite scientifique de reference.\u0000Date de premiere edition : 1891-1896.","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"206 1","pages":"A42-A44"},"PeriodicalIF":0.9,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73938358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 105
Ebene und sphärische Trigonometrie 平级和球体三角
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2013-09-14 DOI: 10.1007/BF01832592
G. Hessenberg
{"title":"Ebene und sphärische Trigonometrie","authors":"G. Hessenberg","doi":"10.1007/BF01832592","DOIUrl":"https://doi.org/10.1007/BF01832592","url":null,"abstract":"","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"450 1","pages":"A43"},"PeriodicalIF":0.9,"publicationDate":"2013-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79697532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On linear combinations of units with bounded coefficients and double-base digit expansions. 关于有界系数单位的线性组合和双基数展开。
IF 0.9 4区 数学
Monatshefte fur Mathematik Pub Date : 2013-01-01 Epub Date: 2012-10-06 DOI: 10.1007/s00605-012-0443-4
Daniel Krenn, Jörg Thuswaldner, Volker Ziegler
{"title":"On linear combinations of units with bounded coefficients and double-base digit expansions.","authors":"Daniel Krenn, Jörg Thuswaldner, Volker Ziegler","doi":"10.1007/s00605-012-0443-4","DOIUrl":"10.1007/s00605-012-0443-4","url":null,"abstract":"<p><p>Let [Formula: see text] be the maximal order of a number field. Belcher showed in the 1970s that every algebraic integer in [Formula: see text] is the sum of pairwise distinct units, if the unit equation [Formula: see text] has a non-trivial solution [Formula: see text]. We generalize this result and give applications to signed double-base digit expansions.</p>","PeriodicalId":54737,"journal":{"name":"Monatshefte fur Mathematik","volume":"171 3-4","pages":"377-394"},"PeriodicalIF":0.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4370826/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33167397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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