Referee's report by Charles Chree, on a paper 'Some definite integrals and a new method of reducing a function of spherical coordinates to a series of spherical harmonics' by Arthur Schuster
Reference number: RR/15/382
Date: 17 July 1902

Description
Sectional Committee: Mathematics
Recommended for publication in Philosophical Transactions, in full. It might be shortened by omitting the demonstrations of the mathematical results in the first six sections, but on the whole this would be a false economy. The absence of reference to previous writers, notably the late Professor J C Adams, is worthy of note. Suggests distinguishing all the equations with letters, not just the fundamental ones, to facilitate referencing them. There are no illustrations. The tables at the end of the paper should certainly be printed if any part of the paper is and it is important that their accuracy be checked.
Though complete, the paper in itself is 'obviously merely preliminary'. It evolves certain mathematical results intended apparently for use in connection with a future recalculation of the Gaussian constants. The mathematical work is clear and not unduly detailed provided the paper is to be absolutely self-contained. An appreciable number of the results in the paper have either been obtained before, or could be deduced readily from analogous formulae and provides an example of this. The fundamental idea in the paper, which so far as he knows is original, is explained on pages 32 to 33a of the manuscript. The paper represents an 'elaborate machinery' whose practical value remains to be proved but taking into account the authorship, the numerical results will actually be obtained for Gaussian constants.
[Published in Philosophical Transactions A, 1903].
Endorsed on verso as received 19 July 1902.
- Reference number
- RR/15/382
- Earliest possible date
- 17 July 1902
- Physical description
- Standardised form (type A) and notes on paper
- Page extent
- 11 pages
- Format
- Manuscript
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Charles Chree, Referee's report by Charles Chree, on a paper 'Some definite integrals and a new method of reducing a function of spherical coordinates to a series of spherical harmonics' by Arthur Schuster, 17 July 1902, RR/15/382, The Royal Society Archives, London, https://makingscience.royalsociety.org/items/rr_15_382/referees-report-by-charles-chree-on-a-paper-some-definite-integrals-and-a-new-method-of-reducing-a-function-of-spherical-coordinates-to-a-series-of-spherical-harmonics-by-arthur-schuster, accessed on 08 February 2025
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Related Publications
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IV. On some definite integrals, and a new method of reducing a function of spherical co-ordinates to a series of spherical harmonics External link, opens in new tab.
Date: 1st January 1903
DOI: 10.1098/rsta.1903.0004
Related Records
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Referee's report by George Howard Darwin, on a paper 'Some definite integrals and a new method of reducing a function of spherical coordinates to a series of spherical harmonics' by Arthur Schuster
Creator: George Howard Darwin Reference number: RR/15/381 -
Referee's report by Charles Chree, on a paper 'Some definite integrals and a new method of reducing a function of spherical coordinates to a series of spherical harmonics' by Arthur Schuster
Creator: Charles Chree Reference number: RR/15/382
Hierarchy
This item is part of:
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Referees' reports on scientific papers submitted to the Royal Society for publication
1831- Reference number: RR -
Referees' reports: volume 15, peer reviews of scientific papers submitted to the Royal Society for publication
1900-1902 Reference number: RR/15
Related Fellows
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Charles Chree
Referee -
Arthur Schuster
Author
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Referee Reports
Date: 1832-1954
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.View collection