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The Royal Society: Science in the Making

Paper, 'On a theory of the conjugate relations of two rational integral functions comprising an application to the theory of Sturm's functions and that of the greatest algebraical common measure' by J J [James Joseph] Sylvester

Reference number: PT/47/7

Date: 1853

Description

A supplement to this paper is found at PT/47/8.

Subject: Mathematics

Published in Philosophical Transactions as 'On a theory of the syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s functions, and that of the greatest algebraical common measure'.

Received and read by the Royal Society on 16 June 1853.

Abstract published in Abstracts of the Papers Printed in the Philosophical Transactions of the Royal Society of London [later Proceedings of the Royal Society of London], Volume 6, 1854.

Reference number
PT/47/7
Earliest possible date
1853
Physical description
Ink on paper
Page extent
383 pages
Format
Manuscript

Creator name

James Joseph Sylvester

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Citation

James Joseph Sylvester, Paper, 'On a theory of the conjugate relations of two rational integral functions comprising an application to the theory of Sturm's functions and that of the greatest algebraical common measure' by J J [James Joseph] Sylvester, 1853, PT/47/7, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/pt_47_7/paper-on-a-theory-of-the-conjugate-relations-of-two-rational-integral-functions-comprising-an-application-to-the-theory-of-sturms-functions-and-that-of-the-greatest-algebraical-common-measure-by-j-j-james-joseph-sylvester, accessed on 18 January 2025

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  • Philosophical Transactions

    Dates: 1802-1865

    The 'Philosophical Transactions' collection comprises manuscript versions of papers published in The Philosophical Transactions of the Royal Society, the world’s first and longest continuously running journal dedicated to science.

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