Archive for History of Exact Sciences最新文献_第5页

Eudoxus’ simultaneous risings and settings 尤多克索斯的同时升起和设置

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-06-14 DOI: 10.1007/s00407-023-00309-x

Francesca Schironi

引用次数: 0

Geometry and analysis in Anastácio da Cunha’s calculus 几何和分析Anastácio达库尼亚的微积分

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-06-08 DOI: 10.1007/s00407-023-00313-1

João Caramalho Domingues

引用次数: 0

Measurements of altitude and geographic latitude in Latin astronomy, 1100–1300 拉丁天文学中海拔和地理纬度的测量，1100–1300

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-06-06 DOI: 10.1007/s00407-023-00312-2

C. Philipp E. Nothaft

引用次数: 0

The Jeffreys–Lindley paradox: an exchange 杰弗里斯-林德利悖论：一种交换

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-05-30 DOI: 10.1007/s00407-023-00310-4

Jeremy Gray, Joshua L. Cherry, Eric-Jan Wagenmakers, Alexander Ly

引用次数: 1

Federico Commandino and the Latin edition of Apollonius’s Conics (1566) 费德里科·科曼迪诺和拉丁文版阿波罗尼乌斯的《经济学》(1566年)

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-03-20 DOI: 10.1007/s00407-023-00307-z

Argante Ciocci

引用次数: 0

Ptolemy’s treatise on the meteoroscope recovered 托勒密关于气象仪的论文得以恢复

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-03-09 DOI: 10.1007/s00407-022-00302-w

Victor Gysembergh, Alexander Jones, Emanuel Zingg, Pascal Cotte, Salvatore Apicella

引用次数: 0

Felix Klein, Sophus Lie, contact transformations, and connexes Felix Klein, Sophus Lie，接触变换和连接

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-03-09 DOI: 10.1007/s00407-023-00305-1

L. D. Kay

{"title":"Felix Klein, Sophus Lie, contact transformations, and connexes","authors":"L. D. Kay","doi":"10.1007/s00407-023-00305-1","DOIUrl":"10.1007/s00407-023-00305-1","url":null,"abstract":"<div><p>Much of the mathematics with which Felix Klein and Sophus Lie are now associated (Klein’s Erlangen Program and Lie’s theory of transformation groups) is rooted in ideas they developed in their early work: the consideration of geometric objects or properties preserved by systems of transformations. As early as 1870, Lie studied particular examples of what he later called <i>contact transformations</i>, which preserve tangency and which came to play a crucial role in his systematic study of transformation groups and differential equations. This note examines Klein’s efforts in the 1870s to interpret contact transformations in terms of <i>connexes</i> and traces that interpretation (which included a false assumption) over the decades that follow. The analysis passes from Klein’s letters to Lie through Lindemann’s edition of Clebsch’s lectures on geometry in 1876, Lie’s criticism of it in his treatise on transformation groups in 1893, and the careful development of that interpretation by Dohmen, a student of Engel, in his 1905 dissertation. The now-obscure notion of connexes and its relation to Lie’s <i>line elements</i> and <i>surface elements</i> are discussed here in some detail.</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"77 4","pages":"373 - 391"},"PeriodicalIF":0.5,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00407-023-00305-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42745210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

SHAKE and the exact constraint satisfaction of the dynamics of semi-rigid molecules in Cartesian coordinates, 1973–1977 直角坐标系下半刚性分子动力学的SHAKE和精确约束满足，1973-1977

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-02-21 DOI: 10.1007/s00407-023-00306-0

Daniele Macuglia

引用次数: 0

Canonical transformations from Jacobi to Whittaker 从Jacobi到Whittaker的正则变换

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-01-31 DOI: 10.1007/s00407-022-00303-9

Craig Fraser, Michiyo Nakane

{"title":"Canonical transformations from Jacobi to Whittaker","authors":"Craig Fraser, Michiyo Nakane","doi":"10.1007/s00407-022-00303-9","DOIUrl":"10.1007/s00407-022-00303-9","url":null,"abstract":"<div><p>The idea of a canonical transformation emerged in 1837 in the course of Carl Jacobi's researches in analytical dynamics. To understand Jacobi's moment of discovery it is necessary to examine some background, especially the work of Joseph Lagrange and Siméon Poisson on the variation of arbitrary constants as well as some of the dynamical discoveries of William Rowan Hamilton. Significant figures following Jacobi in the middle of the century were Adolphe Desboves and William Donkin, while the delayed posthumous publication in 1866 of Jacobi's full dynamical corpus was a critical event. François Tisserand's doctoral dissertation of 1868 was devoted primarily to lunar and planetary theory but placed Hamilton–Jacobi mathematical methods at the forefront of the investigation. Henri Poincaré's writings on celestial mechanics in the period 1890–1910 succeeded in making canonical transformations a fundamental part of the dynamical theory. Poincaré offered a mathematical vision of the subject that differed from Jacobi's and would become influential in subsequent research. Two prominent researchers around 1900 were Carl Charlier and Edmund Whittaker, and their books included chapters devoted explicitly to transformation theory. In the first three decades of the twentieth century Hamilton–Jacobi theory in general and canonical transformations in particular would be embraced by a range of researchers in astronomy, physics and mathematics.</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":"77 3","pages":"241 - 343"},"PeriodicalIF":0.5,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49249749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Helmholtz and the geometry of color space: gestation and development of Helmholtz’s line element 亥姆霍兹与色彩空间的几何：亥姆霍茨线元素的孕育与发展

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2023-01-17 DOI: 10.1007/s00407-023-00304-2

Giulio Peruzzi, Valentina Roberti

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引用次数: 2