Proceedings, Volume 23

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Page 474 - SYSTEM OF ANALYTIC MECHANICS. Physical and Celestial Mechanics. By BENJAMIN PEIRCE, Perkins Professor of Astronomy and Mathematics in Harvard University, and Consulting Astronomer of the American Ephemeris and Nautical Almanac. Developed in four systems of Analytic Mechanics, Celestial Mechanics, Potential Physics, and Analytic Morphology.
Page 489 - Jog on, jog on, the foot-path way, And merrily hent the stile-a : A merry heart goes all the day, Your sad tires in a mile-a.
Page 472 - Crown 8vo. gr. 6d. GRAVITATION: an Elementary Explanation of the Principal Perturbations in the Solar System.
Page 494 - After enjoying eighteen years' joint work with Tait on our book, twenty-three years without this tie have given me undiminished pleasure in all my intercourse with him. I cannot say that our meetings were never unruffled. We had keen differences (much more frequent agreements) on every conceivable subject, — quaternions, energy, the daily news, politics, quicquid agunt homines, etc., etc. We never agreed to differ, always fought it out. But it was almost as great a pleasure to fight with Tait as...
Page 478 - Ergebnisse der in dem Atlantischen Ocean von Mitte Juli bis Anfang November 1889 ausgefiihrten Plankton-Expedition der Humboldt Stiftung.
Page 168 - NX28.e = (2, where (0,0)= -(1,0) and generally (o,/3) + (/8,a) = 0. This form of his own he frankly characterises as "elegant and completely symmetrical"; but the same description would apply equally appropriately to the solution which he gives. Unfortunately, the method by which the latter was obtained is not indicated, and we can only hazard a guess in regard to it. The balance of probability would seem to be in favour of the method of devising a set of multipliers which, when applied to the given...
Page 134 - I3 y i> / (7) Both the general identity, however, and the special cases acquire new significance if we make use of a recently discovered theorem regarding Pfaffians in order to alter the form of the righthand side of the identity. This theorem, in so far as it concerns the present subject, may be described as giving an expansion of a special Pfaffian in the form of a series of terms, each of which is the product of a determinant and an element of the Pfaffian, the specialty of the Pfaffian being...
Page 201 - ... to signify that no limitation as to admissible law of force is essential ; but no generality, that seems to me at present practically desirable, is lost if we assume, henceforth, that it is the Newtonian law of the inverse square of the distance. This makes...
Page 470 - Lectures on Phrenology; with Notes, an Essay on the Phrenological Mode of Investigation, and an Historical Sketch, by A.
Page 192 - There is again, however, an oversight here, for the element aa is taken to be equal to 0, whereas it is only necessarily so in the second case. BALTZER (1857). [THEORIE UND ANWENDUNG DER DETERMINANTEN. Mit Beziehung auf die Originalquellen. Dargestellt von Dr. Richard Baltzer. vi + 129 pp. Leipzig, 1857.] Following his two predecessors Baltzer also assigned a separate section of his text-book to skew determinants, but without giving them any special designation of his own or even taking over that...

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