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INDEX TO THE PHILOSOPHICAL TRANSACTIONS FOR THE YEAR 1844. A. Analysis, on a general method in, 225. A. Preliminary theorems, 228. B. § 1. Theory of linear differential equations, 232. B. § 2. On the solution of linear differential equations by series, 234. B. § 3. On the solution of linear partial differential equations by series, 240. C. § 1. On the integration of linear differential equations in finite terms, 244. C. § 2. Some illustrations of a more general method of resolution, 257. D. § 1. Theory of series and of generating functions, 261. D. § 2. On the theory of generating functions as connected with equations of differences, 266. D. § 3. On the theory of generating functions as connected with equations of partial differences, 268. E. Application of the theory of series to the evaluation of certain definite integrals, 270. F. § 1. Theory of equations of finite differences, 276. F. § 2. On the solution of equations of finite differences in series, 277. F. § 3. On the solution of equations of differences in finite terms, 279. Postscript, 282. Andrews (Thomas, M.D.). On the thermal changes accompanying basic substitutions, 21. Animal heat, miscellaneous observations on, 57. I. On the temperature of the Pelamides, ibid. II. On the temperature of Man in advanced age, 59. III. On the effect of air of different temperatures on animal heat, 61. IV. On the effect of exercise on the temperature of the body, 62. B. Bakerian Lecture, 65. Belemnites, a description of certain, preserved, with a great proportion of their soft parts, in the Oxford clay, at Christian-Malford, Wilts, 65. Boole (George, Esq.). On a general method in analysis, 225. D. Daniell (J. Frederic, Esq., D.C.L.). Additional researches on the electrolysis of secondary compounds, 1. Davy (John, M.D.). Miscellaneous observations on animal heat, 57. Differences, equations of, on the theory of generating functions as connected with, 266. equations of partial, on the theory of generating functions as connected with, 268. finite, theory of equations of, 276. , on the solution of equations of, in series, 277. , on the solution of equations of, in finite terms, 279. INDEX. Differential equations, linear, theory of, 232. ———, on the solution of, by series, 234. ———, on the solution of partial, by series, 240. ———, on the integration of, in finite terms, 244. ———, illustrations of a general method of resolution, 257. E. Electrical and chemical actions which take place before and after completion of the voltaic circuit, an account of some experiments to test the relation of the, 39. Electrolysis of secondary compounds, additional researches on, 1. Entozoon folliculorum, a newly discovered parasitic animacule of the human skin, researches into the structure and development of, 305. F. Fownes (George, Esq.). On the existence of phosphoric acid in rocks of igneous origin, 53. Functions, generating, theory of, 261. ———, as connected with equations of differences, 266. ———, of partial differences, 268. G. Gassiot (John P., Esq.). A description of an extensive series of the Water Battery; with an account of some experiments made in order to test the relation of the electrical and chemical actions which take place before and after the completion of the voltaic circuit, 39. H. Heat, Animal, miscellaneous observations on, 57. I. On the temperature of the Pelamides, ibid. II. On the temperature of Man in advanced age, 59. III. On the effect of air of different temperatures on animal heat, 61. IV. On the effect of exercise on the temperature of the body, 62. I. Integrals, Definite, application of the theory of series to the evaluation of certain, 270. Insecta, on the reproduction of lost parts in, 288. M. Magnetism, Terrestrial, contributions to. No. VI. Observations made on board Her Majesty's Ships Erebus and Terror, from June 1841 to August 1842, in the Antarctic Expedition under the command of Captain Sir James Clark Ross, R.N., F.R.S., 87. Deduction of the constants $a$ and $b$ in the corrections for the ship's attraction, 88. Deduction of the corrections, on account of the ship's attraction, for the observations of Inclination, 90. Index correction, 99. Observations of the Inclination, with needles whose poles were reversed, made at Garden Island, Sydney, 100; at the Bay of Islands, New Zealand, ibid; on the ice, 101; at the Magnetic Observatory at Port Louis, in the Falkland Islands, *ibid.* Elements of calculation of the intensity observations, 107. General remarks, 116. Note by Mr. Archibald Smith, 117*. General Table of the Declinations observed on board Her Majesty's Ships Erebus and Terror, between May 1841 and August 1842, 120. General Table of Inclinations, 122. General Table of the Intensity of the Magnetic Force, from the observations, 125. Declinations observed on board Her Majesty's Ship Erebus, between June 1841 and August 1842, 127; on board Her Majesty's Ship Terror, 141. Observations of the Inclination made on board Her Majesty's Ship Erebus, between April 1841 and August 1842, 151; on board Her Majesty's Ship Terror, 169. Observations of the Intensity of the Magnetic Force, made on board Her Majesty's Ship Erebus, between April 1841 and August 1842, 196; on board Her Majesty's Ship Terror, 204. Man, on the temperature of, in advanced age, 59. Miller (W. A., Esq., M.D.). Additional researches on the electrolysis of secondary compounds, 1. Myriapoda and Insecta, on the reproduction of lost parts in, 283. Myriapoda, 284. Insecta, 288. N. Nebulae, observations on some of the, 321. Newport (George, Esq.). On the reproduction of lost parts in Myriapoda and Insecta, 283. O. Owen (Richard, Esq.). A description of certain Belemnites, preserved, with a great proportion of their soft parts, in the Oxford clay, at Christian-Malford, Wilts, 65. P. Pelamides, on the temperature of the, 57. Phosphoric acid, on the existence of, in rocks of igneous origin, 53. R. Ross (Captain Sir James Clark, R.N.). Observations made on board Her Majesty's Ships Erebus and Terror, from June 1841 to August 1842, in the Antarctic Expedition under the command of, 87. Rosse (the Earl of). Observations on some of the Nebulae, 321. S. Sabine (Lieut.-Colonel Edward, R.A.). Contributions to terrestrial magnetism, No. VI., 87. Series, theory of, 261. Application of to the evaluation of certain definite integrals, 270. Simon (John, Esq.). On the comparative anatomy of the thyroid gland, 295. T. Temperature of Man in advanced age, on the, 59. ——— of the Pelamides, on the, 57. ——— of the Body, on the effects of exercise on the, 62. MDCCCXLIV. INDEX. Thermal changes accompanying basic substitutions, on the, 21. Thyroid Gland, on the comparative anatomy of the, 295. 1. Birds, ibid. 2. Reptiles, 296. 3. Fishes, 299. W. Water Battery, a description of an extensive series of the, 39. Wilson (Erasmus). Researches into the structure and development of a newly discovered parasitic animalcule of the human skin—the Entozoon folliculorum, 305. PRESENTS RECEIVED BY THE ROYAL SOCIETY, WITH THE NAMES OF THE DONORS. From June 1842 to November 1843. PRESENTS. ACADEMIES and SOCIETIES. Berlin:— Transactions of the Royal Academy of Sciences for 1840. 4to. Berlin 1842. Proceedings of the Royal Academy of Sciences of Berlin, April 1842 to March 1843. 8vo. Berlin 1842. Birmingham Philosophical Institution—the Report presented by the Committee of Managers to the Annual General Meeting, held Oct. 26, 1842, with the List of Patrons, Trustees and Members; the Meteorological Journal kept at the Institution, &c. 8vo. Birmingham 1842. Bologna:—Novi Commentarii Academiae Scientiarum Instituti Bononiensis. 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