cover image: Bulletin of the Calcutta Mathematical Society  1913-14

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Bulletin of the Calcutta Mathematical Society 1913-14

1915

When the bowed point divides the string in a rational ratio the form of the velocity—diagram may be derived from that of the correponding irrational type by the following process : Taking the form of the velocity—diagram at any specified epoch in the irrational case we have to analyse it into its Fourier components and then effect a summation of the series of components which have a node at t [...] the origin of co-ordinates being now the centre of the sphere B. We proceed now to determine the arbitrary solid harmonics w„ and w'„ so as to satisfy the boundary conditions on the surface of the sphere B. The boundary conditions can be expressed as follows:— (I) Since the sphere B is a perfect conductor the electric force and therefore the electric polarization are at right angles to its surf [...] are all of the same type we at once deduce the following property:— The induced current on the surface of the sphere B is of the same type as the inducing current on the surface of the :pltere A. For instance (1) The inducing current on the surface of the sphere A flows meridionally having the line joining the centres as axis and so does the induced current on the surface of the sphere B. (2) The [...] If the distribution of electricity on the surface of the sphere A instead of being symmetrical about the line joining the centres is symetrical about any other line we could effect the solution with the help of the theorems given in § 2 by transforming the zonal harmonic to harmonies referred to the line joining the centres. [...] To determine the transverse components of the vector given by the solutions of the second type we subtract from each of the components of this vector the corresponding resolved part of the radial compnent of the vector i.e.
technology medicine science
Pages
64
Published in
India
SARF Document ID
sarf.120023
Segment Pages Author Actions
Frontmatter
i-ii Asutosh Mookerji, C.E. Cullis, D.N. Mallik view
On Some Debatable Points in Mr. J.M. Bose’s Paper on the Equations of Motion of a Plane Surface through Air
1-4 Narsingh Rau view
On the Summation of Certain Fourier Series Involving Discontinuities
5-8 C.V. Raman view
On Chinese Indeterminate Analysis
9-12 Narendrakumar Majumdar view
Parametric Coefficients in the Differential Geometry of Curves
13-20 Syamadas Mukhopadhyaya view
On Electromagnetic Waves Due to Electrical Oscillations on the Surface of a Thin Spherical Shell in the Presence of a Non-concentric Conducting Sphere
21-44 Sudhansukumar Banerji view
Some Remarks on a Recent Paper of Dr. J. Dougall
45-46 Ganesh Prasad view
On the Linear Distribution Corresponding to the Potential Function with a Prescribed Boundary Value
47-52 Ganesh Prasad view
John Napier—his Life and Work
53-60 A.C. Bose view
Backmatter
i-ii Asutosh Mookerji, C.E. Cullis, D.N. Mallik view

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