Linear Programming from Fibonacci to Farkas.
At the beginning of the 13th century Fibonacci described the rules for making mixtures of all kinds, using the Hindu-Arabic system of arithmetic. His work was repeated in the early printed books of arithmetic, many of which contained chapters on 'alligation', as the subject became known. But the rul...
| Publicado en: | Annals of Science Vol. 78; no. 1; pp. 1 - 22 |
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| Formato: | Artículo |
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Taylor & Francis Ltd
Jan2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=149012880&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 149012880 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00033790 7J1 jtl: Annals of Science issn: 00033790 maglogo: Y pubinfo: dt: Jan2021 vid: 78 iid: 1 pid: 377 pub: Taylor & Francis Ltd artinfo: ui: 149012880 10.1080/00033790.2020.1811377 ppf: 1 ppct: 21 formats: fmt: – @attributes: type: T – @attributes: type: P size: 1.4MB tig: atl: Linear Programming from Fibonacci to Farkas. aug: au: Biggs, Norman affil: Department of Mathematics, London School of Economics, London, UK su: Mathematical analysis Fibonacci, Leonardo, ca. 1170-ca. 1240 Fourier series Arithmetic Pell, John Kersey, John sug: subj: Mathematical analysis Fibonacci, Leonardo, ca. 1170-ca. 1240 Fourier series Arithmetic Pell, John Kersey, John keyword: Alligation Farkas Lemma indeterminacy inequalities Linear Programming ab: At the beginning of the 13th century Fibonacci described the rules for making mixtures of all kinds, using the Hindu-Arabic system of arithmetic. His work was repeated in the early printed books of arithmetic, many of which contained chapters on 'alligation', as the subject became known. But the rules were expressed in words, so the subject often appeared difficult, and occasionally mysterious. Some clarity began to appear when Thomas Harriot introduced a modern form of algebraic notation around 1600, and he was almost certainly the first to express the basic rule of alligation in algebraic terms. Thus a link was forged with the work on Diophantine problems that occupied mathematicians like John Pell and John Kersey in the 17th century. Joseph Fourier's work on mechanics led him to suggest a procedure for handling linear inequalities based on a combination of logic and algebra; he also introduced the idea of describing the set of feasible solutions geometrically. In 1898, inspired by Fourier's work, Gyula Farkas proved a fundamental theorem about systems of linear inequalities. This topic eventually found many applications, and it became known as Linear Programming. The theorem of Farkas also plays a significant role in Game Theory. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Annals of Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Annals of Science holder: Taylor & Francis Ltd dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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