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From:
Henry Warburton
To:
Sir John Herschel
Date:
[14 December 1847]
Source of text:
RS:HS 18.48
Summary:

Continues explicating P. S. Laplace's formula for determining Bernoulli's numbers. Concerned that JH sees HW claiming too much for HW's continued subtraction method.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[20 December 1847]
Source of text:
RS:HS 18.49
Summary:

Verified Leonhard Euler's values for Bernoulli's numbers up to B=25 by method previously outlined and to be stated fully in this letter. Mr. Hensley [of Trinity College] proposes to revise incorrect values given in Penny Cyclopaedia. Computing a Bernoulli number by P. S. Laplace's formula takes three days. HW's method of continued subtraction requires only 24 hours.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[23 December 1847]
Source of text:
RS:HS 18.50
Summary:

Proved accuracy of Leonhard Euler's values for Bernoulli's 27th number. Plans to test number 29. Will investigate Thomas Clausen's theorem, the generality of which JH appears to have disproved.

Contributor:
John Herschel Project
From:
Henry Warburton
To:
Sir John Herschel
Date:
[30 December 1847]
Source of text:
RS:HS 18.51
Summary:

Demonstrates property of 'Coefficients of the terms of the Numerators of the Fractions which generate the odd powers of the Numbers of the Natural Series.' Claims this method can compute Bernoulli's numbers 37, 39, and 41.

Contributor:
John Herschel Project
From:
Charles Wheatstone
To:
Sir John Herschel
Date:
[28 December 1847]
Source of text:
RS:HS 18.152
Summary:

[George Eden] Lord Auckland seeks meteorological 'reports.' CW will contribute instructions on atmospheric electricity, photometry, and optical meteorology. W. R. Birt will report on meteorological instruments and wind observations.

Contributor:
John Herschel Project
From:
George Eden
To:
Sir John Herschel
Date:
[29 December 1847]
Source of text:
RS:HS 7.11
Summary:

Has now sent the letters and circulars to the various people in connection with the Admiralty Manual. Has not sent one to W. R. Birt, but will do so if JH thinks it advisable.

Contributor:
John Herschel Project
From:
William Empson
To:
Sir John Herschel
Date:
9 December [1847]
Source of text:
RS:HS 7.54
Summary:

Has been reading as far as page 36 of the proofs with great pleasure. Regarding choice of words for a phrase. Richard Jones is uninfluenced as yet.

Contributor:
John Herschel Project
From:
William Empson
To:
Sir John Herschel
Date:
12 December [1847]
Source of text:
RS:HS 7.55
Summary:

Congratulations on finishing his paper. Would he check over the proofs. Richard Jones is well, though not well enough to attend at the College chapel. J. E. D. Bethune and John Lefevre are staying with Jones. Bethune starts for India in February.

Contributor:
John Herschel Project
From:
William Empson
To:
Sir John Herschel
Date:
30 December [1847]
Source of text:
RS:HS 7.56
Summary:

Francis Jeffrey (Lord Jeffrey) is the writer of Plaidoyer in the last number; intends it to be a judicial deliverance. Has sent JH's review of the translation of Kosmos to Lord Jeffrey and he praised it highly. Gives some of his comments.

Contributor:
John Herschel Project