Referee's report by Arthur Cayley, on a paper 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c' by James Joseph Sylvester
Reference number: RR/5/269
Date: 02 October 1864

Description
Recommended for publication in the 'Philosophical Transactions of the Royal Society'. Considers the manuscript to be of poor quality, the writing is nearly illegible, and makes the work of reviewing the paper very difficult.
Subject: Mathematics
[Published in the Philosophical Transactions of the Royal Society, 1864]
- Reference number
- RR/5/269
- Earliest possible date
- 02 October 1864
- Physical description
- Letter on paper
- Page extent
- 4 pages
- Format
- Manuscript
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Arthur Cayley, Referee's report by Arthur Cayley, on a paper 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c' by James Joseph Sylvester, 02 October 1864, RR/5/269, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/rr_5_269/referees-report-by-arthur-cayley-on-a-paper-algebraical-researches-containing-a-disquisition-on-newtons-rule-for-the-discovery-of-imaginary-roots-and-an-allied-rule-applicable-to-a-particular-class-of-equations-together-with-a-complete-invariantive-determination-of-the-character-of-the-roots-of-the-general-equation-of-the-fifth-degree-c-by-james-joseph-sylvester, accessed on 10 July 2025
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Related Publications
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XVII Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c External link, opens in new tab.
Date: 31st December 1864
DOI: 10.1098/rstl.1864.0017
Related Records
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Referee's report by Arthur Cayley, on a paper 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c' by James Joseph Sylvester
Creator: Arthur Cayley Reference number: RR/5/267 -
Referee's report by Henry John Stephen Smith, on a paper 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c' by James Joseph Sylvester
Creator: Henry John Stephen Smith Reference number: RR/5/268 -
Paper, ['Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c'] by [James Joseph] Sylvester
Creator: James Joseph Sylvester Reference number: PT/70/14
Hierarchy
This item is part of:
-
Referees' reports on scientific papers submitted to the Royal Society for publication
1831- Reference number: RR -
Referees' reports: volume 5, peer reviews of scientific papers submitted to the Royal Society for publication
1863-1865 Reference number: RR/5
Related Fellows
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Arthur Cayley
Referee -
James Joseph Sylvester
Author
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Referee Reports
This collection contains reports on scientific papers submitted for publication to the Royal Society. Started in 1832 when the system was formalised, it is a record of the origins of peer review publishing in practice.
Dates: 1832 - 1954
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