Close to finding expeditious, symmetric method for computing Bernoulli's numbers. Resolves four formulas that HW sent to JH earlier today.
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Close to finding expeditious, symmetric method for computing Bernoulli's numbers. Resolves four formulas that HW sent to JH earlier today.
Thanks for comments on HW's paper and work on properties of Bernoulli's numbers. Claims HW's method of continued subtraction is convenient process for determining numerical coefficients. Found error, long perpetuated in literature, regarding Bernoulli's 13th number. Offers correct solution.
More calculations showing continued subtraction method in solution of Bernoulli's 13th number.
More calculations using continual subtraction method to test Bernoulli's 15th number.
More continual subtractions to resolve Bernoulli's 17th number. Error in official value given in Encyclopaedia Metropolitana. Also working on Bernoulli's 18th number.
Will submit paper to Cambridge [Philosophical] Society revising all [Leonhard] Euler's values for Bernoulli's numbers. Doubts accuracy of values up to B=49 quoted by George Peacock.
Agrees to gather and edit contributions to Admiralty Manual and supervise its printing. Will correspond next month with all [scientists] chosen by GE.
Asks GA for details about the scientific support provided by Hugh Percy; also asks about the availability of star charts on the Berlin Academy scheme.
Replies to JH's 1847-11-14, with respect to Hugh Percy and star charts.
Outlining his plan for a Scientific Manual for Naval officers. Would be glad if he would superintend its publication.
Is obliged for JH's readiness to assist in the preparation of the Admiralty Manual. Will put matter in hand at once.
Does he mean his paper will be ready for the printer by 10 Dec.? Should be at the binders by the 19th. Political signs need watching. Richard Jones is not well. George Peacock will be home next week.
Everything safe for Longmans. Let him know if he requires any separate copies. Richard Jones is better. William Whewell is mortified at being passed over by the Windsor invitation. George Peacock does not care; he is too happy.
Do not strike out anything he has written. Has been suffering with nose-bleed.
Has received JH's volume and letter from Algernon Percy (4th Duke of Northumberland). Regards it as a valuable contribution to his library. Would like JH's opinion on the papers of Benjamin Peirce and his views on the planet Neptune.
Has received JH's letter and also the one of [J. H.?] Griesbach. These will be read at the next meeting of the R.A.S. Thinks enough has been written about E. J. Cooper's planets.
Outlining the circumstances leading to JH's name being proposed for the new council of the R.S.L. Hopes he will agree to his name being proposed.
JDH writes from Lisbon regarding his journey, letter sent with one to Miss Henslow. Anticipates good passage as far as Sidon but plans after reaching Egypt are uncertain, he will stay close to G.G. [Governor General]. Discusses how grandfather has invested JDH's money & how to draw money from W. & T.[?] after arrival in Calcutta [Kolkata]. Letter arrived at Portsmouth containing letters of introduction for JDH in Calcutta. Suggests Miss Cracroft would be liked by his family & should visit Kew & wants to know what friends of hers he should visit in India. Mother to forward this information through Mrs Kendal. Reports on progress with V.D.L. [van Diemen's Land] plants to be sent home by Dr Salmon, not Miller, along with the with the Niger m/s [manuscript]. Provisionally calls the new V.D.L. cruciferous plant Bretonia. This & the Fagus called ‘gunnii’ from the m/s of Gunn’s trip should be checked by Pl[anchon?] to see if names are occupied & characters drawn up. Dr Richardson to be informed what ship the plants are sent on so he can send case of bottles by the same via steamer to Barnes. JDH to write again from Gibraltar with account of Lisbon.
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