Bulletin of the Calcutta Mathematical Society 1917-18

Authors of Papers intended for communication to the Society are requested to draw up Abstracts of their Papers to be read at the meeting of the Society and to be circulated if possible the Abstracts to indicate the nature of the methods employed and the character of the results obtained. [...] In 1876 he acquitted himself creditably in the Honours Examination in Law and in the next year obtained the degree of Doctor of Law for the two theses on The Necessity of Religious Ceremonies in Adoption" and on "The Hindu Law of Endowments" which were regarded as masterly expositions of the subjects and evoked the high admiration of the examiners. [...] Substituting the values of a.'s a9's in equation (12) we get the equation of the boundary of mass o. Similarly substituting the values of R.'s 13„s in equation (18) we get the equation of the boundary of the mass 0."70.A. [...] As Hobson has rightly remarked " the general effect of the controversy is to exhibit on the one hand the narrowness of the restriction of the conception of a function as held by D'Alembert to functions possessing at every point differential coefficients of all orders and on the other hand the looseness of the conception of Euler that the ordinary methods of the calculus were applicable witho [...] As another example I may mention that the ditko problem* of the determination of the oscillations of a sea bounded by parallels of latitude requires the calculation of the roots of the d equation Tut( P„ = o regarded as an equation in d. As the writer wishes to apply the results obtained in this paper to the problem of the cone solved by Carslaw t the numerical values d of the first few roots of