Report of the ... Meeting of the British Association for the Advancement of Science, Volume 30J. Murray, 1861 |
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Page 120
... residues , are found to be inadequate when we come to residues of the 5th , 7th , or higher powers . This was early observed by Jacobi , when , after his investigations of the cubic and biqua- dratic theorems , he turned his attention ...
... residues , are found to be inadequate when we come to residues of the 5th , 7th , or higher powers . This was early observed by Jacobi , when , after his investigations of the cubic and biqua- dratic theorems , he turned his attention ...
Page 121
... residues of 8th and 12th powers , -real primes of the forms 8n + 1 , 12n + 1 , resolving themselves into four factors composed of 8th and 12th roots of unity respectively . By considerations similar to those pre- viously employed by him ...
... residues of 8th and 12th powers , -real primes of the forms 8n + 1 , 12n + 1 , resolving themselves into four factors composed of 8th and 12th roots of unity respectively . By considerations similar to those pre- viously employed by him ...
Page 126
... residues for the modulus f ; nk is zero for all values of k , excepting that n = 1 , if ƒ be even , and ne = 1 , if ƒ be uneven * . The systems of equations corresponding to the particular cases e = 3 , e = 4 , have been given by Gauss ...
... residues for the modulus f ; nk is zero for all values of k , excepting that n = 1 , if ƒ be even , and ne = 1 , if ƒ be uneven * . The systems of equations corresponding to the particular cases e = 3 , e = 4 , have been given by Gauss ...
Page 127
... residues for the modulus ; and in counting the number of solutions , two solutions are to be considered as different in which the same places are not occupied by the same numbers . A simpler formula for S + 1 may be obtained by ...
... residues for the modulus ; and in counting the number of solutions , two solutions are to be considered as different in which the same places are not occupied by the same numbers . A simpler formula for S + 1 may be obtained by ...
Page 128
... Residues of Powers ; for it follows from that theory ( see art . 12 of this Report ) , that the binomial congruence x ^ -1 : = 0 ( and therefore also the congruence = 0 , mod q ) is completely resoluble for every prime of x - 1 x - 1 ...
... Residues of Powers ; for it follows from that theory ( see art . 12 of this Report ) , that the binomial congruence x ^ -1 : = 0 ( and therefore also the congruence = 0 , mod q ) is completely resoluble for every prime of x - 1 x - 1 ...
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aërolitic Alder bolide Bowb bright brilliant burst Busk Catalogue catoptrical colour Committee complex numbers congruence congruous contained Crelle Crelle's Journal crystals Dalyell denote determined detonating meteor direction ditto Ditto ditto divisor electrical equation experiments Fabr factors fell fireball Forbes formula function Goodsir Gosse granite greatest common divisor heat Ibid ideal numbers inches integral numbers Johnst Johnston July June Kew Observatory Kummer Lamarck law of reciprocity Leach light Linn Linnæus magnetic memoir meteor miles mod pm mod q modular function modulus Mont moon Müll Müller Nottingham observations Observatory obtained primitive root Professor remarkable Report residues resoluble rocks roots of unity Royal Mail seen Sept Silesia solution specimen Spence Bate stars steam Stokes Bay stone Stone-fall streak surface tail temperature theorem theory tion vessels
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Page 236 - the British Association in the System of Simultaneous Magnética! and Meteorological Observations ;— J. Richardson, MD, Report on the present State of the Ichthyology of New Zealand ;— WS Harris, Report on the Progress of Meteorological Observations at Plymouth ;—Second Report of a Committee appointed to make Experiments on the Growth and Vitality of Seed«; —C.
Page 239 - ;—JB Lawes and Dr. Gilbert, on the Composition of Foods in relation to Respiration and the Feeding of Animals. Together with the Transactions of the Sections, Colonel Sabine's Address, and Recommendations of the Association and its Committees. PROCEEDINGS OF THE TWENTY-THIRD MEETING, at Hull, 1853, Published at 10». 6d. CONTENTS:—Rev. Prof. Powell, Report on Observations of Luminous Meteors,
Page 234 - :—Major E. Sabine, on the Variations of the Magnetic Intensity observed at different points of the Earth's Surface ;—Rev. W. Taylor, on the various modes of Printing for the Use of the Blind ;—JW
Page 237 - Committee appointed to conduct the Co-operation of the British Association in the System of Simultaneous Magnética! and Meteorological Observations;—Lt.-Col. Sabine, on some points in the Meteorology of Bombay;—J. Blake, Report on the Physiological Actions of Medicines ;—Dr. Von
Page 164 - can be inserted. Some are very large. One we measured caused the lip to project two inches beyond the tip of the nose ; when the lady smiled the contraction of the muscles elevated it over the eyes. " Why do the women wear these things : " the venerable chief, Chinsurdi, was asked. Evidently surprised at such a stupid
Page 180 - so far as they depend on the action of the human mind," in order to mark to which of the two great genera of sciences, the Material, or, as they are usually called, the Physical, and the Mental, or, as they are frequently called, the Moral, sciences, Political Economy belongs.
Page 180 - The subjects to which the British Association has directed our attention are Economic Science, and Statistics. Economic Science, or, to use a more familiar name, " The Science of Political Economy," may be defined as " The Science which states the laws regulating the production and"^ distribution of wealth,
Page 237 - Mollusca;—R. Hunt, Researches on the Influence of Light on the Germination of Seeds and the Growth of Plants;—Report of a Committee appointed by the British Association in 1840, for revising the Nomenclature of the
Page 185 - in advance in book attainments. Subsequently industrial occupation was found for the boys, when their time of book instruction was reduced from thirty-six hours a week to eighteen ; and after a while the boys were proved upon examination to have obtained their previous relative position, which was in advance of the girls. The chief circumstances to
Page 185 - is called upon to make any considerable mental exertion. But at every step in the composition of his philosophical works Lord Bacon had to think, and no one can be engaged in that which requires a sustained effort of thought for more than a very limited portion of the twenty-four hours,