Archive for History of Exact Sciences最新文献_第8页

The gravitational influence of Jupiter on the Ptolemaic value for the eccentricity of Saturn 木星引力对土星离心率托勒密值的影响

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2021-01-03 DOI: 10.1007/s00407-020-00271-y

Christián C. Carman

引用次数: 1

The development of the concept of uniform convergence in Karl Weierstrass’s lectures and publications between 1861 and 1886 一致收敛概念在卡尔·魏尔斯特拉斯1861年至1886年的演讲和出版物中的发展

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-12-23 DOI: 10.1007/s00407-020-00266-9

Klaus Viertel

{"title":"The development of the concept of uniform convergence in Karl Weierstrass’s lectures and publications between 1861 and 1886","authors":"Klaus Viertel","doi":"10.1007/s00407-020-00266-9","DOIUrl":"10.1007/s00407-020-00266-9","url":null,"abstract":"<div><p>The history of uniform convergence is typically focused on the contributions of Cauchy, Seidel, Stokes, and Björling. While the mathematical contributions of these individuals to the concept of uniform convergence have been much discussed, Weierstrass is considered to be the actual inventor of today’s concept. This view is often based on his well-known article from 1841. However, Weierstrass’s works on a rigorous foundation of analytic and elliptic functions date primarily from his lecture courses at the University of Berlin up to the mid-1880s. For the history of uniform convergence, these lectures open up an independent branch of development that is disconnected from the approaches of the previously mentioned authors; to my knowledge, Weierstraß never explicitly referred to Cauchy’s continuity theorem (1821 or 1853) or to Seidel’s or Stokes’s contributions (1847). In the present article, Weierstrass’s contributions to the development of uniform convergence will be discussed, mainly based on lecture notes made by Weierstrass’s students between 1861 and the mid-1880s. The emphasis is on the notation and the mathematical rigor of the introductions to the concept, leading to the proposal to re-date the famous 1841 article and thus Weierstrass’s first introduction of uniform convergence.</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00407-020-00266-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50506818","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: 3

BM 76829: A small astronomical fragment with important implications for the Late Babylonian Astronomy and the Astronomical Book of Enoch BM 76829：一个小的天文碎片，对巴比伦晚期天文学和以诺天文学著作具有重要意义

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-12-21 DOI: 10.1007/s00407-020-00268-7

Jeanette C. Fincke, Wayne Horowitz, Eshbal Ratzon

引用次数: 3

Back to the roots of vector and tensor calculus: Heaviside versus Gibbs 回到矢量和张量微积分的根:Heaviside和Gibbs

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-11-10 DOI: 10.1007/s00407-020-00264-x

Alessio Rocci

引用次数: 0

Correction to: What Heinrich Hertz discovered about electric waves in 1887–1888 更正：海因里希·赫兹在1887年至1888年对电波的发现

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-11-03 DOI: 10.1007/s00407-020-00267-8

Jed Buchwald, Chen-Pang Yeang, Noah Stemeroff, Jenifer Barton, Quinn Harrington

引用次数: 0

Hobbes’s model of refraction and derivation of the sine law 霍布斯折射模型及正弦定律的推导

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-11-02 DOI: 10.1007/s00407-020-00265-w

Hao Dong

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引用次数: 2

Operator calculus: the lost formulation of quantum mechanics 算子演算：量子力学的遗失公式

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-10-07 DOI: 10.1007/s00407-020-00262-z

Gonzalo Gimeno, Mercedes Xipell, Marià Baig

引用次数: 2

Pipe flow: a gateway to turbulence 管道流动:湍流的入口

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-10-02 DOI: 10.1007/s00407-020-00263-y

Michael Eckert

{"title":"Pipe flow: a gateway to turbulence","authors":"Michael Eckert","doi":"10.1007/s00407-020-00263-y","DOIUrl":"10.1007/s00407-020-00263-y","url":null,"abstract":"<div><p>Pipe flow has been a challenge that gave rise to investigations on turbulence—long before turbulence was discerned as a research problem in its own right. The discharge of water from elevated reservoirs through long conduits such as for the fountains at Versailles suggested investigations about the resistance in relation to the different diameters and lengths of the pipes as well as the speed of flow. Despite numerous measurements of hydraulic engineers, the data could not be reproduced by a commonly accepted formula, not to mention a theoretical derivation. The resistance of air flow in long pipes for the supply of blast furnaces or mine air appeared even more inaccessible to rational elaboration. In the nineteenth century, it became gradually clear that there were two modes of pipe flow, laminar and turbulent. While the former could be accommodated under the roof of hydrodynamic theory, the latter proved elusive. When the wealth of turbulent pipe flow data in smooth tubes was displayed as a function of the Reynolds number, the empirically observed friction factor served as a guide for the search of a fundamental law about turbulent skin friction. By 1930, a logarithmic “wall law” seemed to resolve this quest. Yet pipe flow has not been exhausted as a research subject. It still ranks high on the agenda of turbulence research—both the transition from laminar to turbulent flow and fully developed turbulence at very large Reynolds numbers.</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00407-020-00263-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42320230","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: 7

What Heinrich Hertz discovered about electric waves in 1887–1888 海因里希·赫兹在1887年至1888年发现了电磁波

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-09-25 DOI: 10.1007/s00407-020-00260-1

J. Buchwald, C. Yeang, Noah Stemeroff, Jenifer Barton, Quinn Harrington

引用次数: 0

What Heinrich Hertz discovered about electric waves in 1887–1888 海因里希·赫兹在1887年至1888年对电波的发现

IF 0.5 2区哲学

Archive for History of Exact Sciences Pub Date : 2020-09-25 DOI: 10.1007/s00407-020-00260-1

Jed Buchwald, Chen-Pang Yeang, Noah Stemeroff, Jenifer Barton, Quinn Harrington

{"title":"What Heinrich Hertz discovered about electric waves in 1887–1888","authors":"Jed Buchwald, Chen-Pang Yeang, Noah Stemeroff, Jenifer Barton, Quinn Harrington","doi":"10.1007/s00407-020-00260-1","DOIUrl":"10.1007/s00407-020-00260-1","url":null,"abstract":"<div><p>Among the most influential and well-known experiments of the 19th century was the generation and detection of electromagnetic radiation by Heinrich Hertz in 1887–1888, work that bears favorable comparison for experimental ingenuity and influence with that by Michael Faraday in the 1830s and 1840s. In what follows, we pursue issues raised by what Hertz did in his experimental space to produce and to detect what proved to be an extraordinarily subtle effect. Though he did provide evidence for the existence of such radiation that other investigators found compelling, nevertheless Hertz’s data and the conclusions he drew from it ran counter to the claim of Maxwell’s electrodynamics that electric waves in air and wires travel at the same speed. Since subsequent experiments eventually suggested otherwise, the question arises of just what took place in Hertz’s. The difficulties attendant on designing, deploying, and interpreting novel apparatus go far in explaining his results, which were nevertheless sufficiently convincing that other investigators, and Hertz himself, soon took up the challenge of further investigation based on his initial designs.\u0000</p></div>","PeriodicalId":50982,"journal":{"name":"Archive for History of Exact Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s00407-020-00260-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50514568","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