cover image: Bulletin of the Calcutta Mathematical Society  March & June  1940

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20.500.12592/p3g40w

Bulletin of the Calcutta Mathematical Society March & June 1940

1940

The above result enables us to calculate quickly the value of c(x) for any given value of x. 2. Proof of Theorem 1. Evidently (5) This is obvious when a set of terms like e2m €2m-2 all equal to 1 does not appear in the representation of x in the scale of 2. When sets of such terms appear the contribution of the first such set from the left to the expression -g no +01 —n2 will he and of the su [...] (4) R where R is greater than or equal to the equatorial radius of the star a is some numerical constant less than unity (this ensures that the angular velocity decreases as we proceed from the centre towards the surface) and wo is the velocity of rotation of the cylinder of infinitesimally small radius just surrounding the axis of rotation. [...] Table II shows that on account of the assumed law of variation of angular velocity the fractional contraction at the poles the fractional elongation at the equator and the oblateness cr are all decreased when compared to the uniformly rotating configuration with the same central density and rotating with the angular velocity wo The same remark is true also for the mass volume and the ratio of t [...] ON SOME CONGRUENCE QUADRICS OBTAINED FROM LINEAR COMPLEXES OF THE IRREDUCIBLE SYSTEM OF TWO QUATERNARY QUADRICS WITH TWO LINEAR COMPLEXES BY N. CIIATTERJI AND P. N. DASGUL'TA Introduction.—The irreducible concomitants of the system of two linear complexes and two quarternary quadrics * the invariants of the linear complexes of the system t the polar reciprocals of the linear complexes with regard [...] In the present paper some of the associated quadrics of the system are discussed and a complete list of the irreducible linear complexes of the system has been appended.
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Pages
54
Published in
India
SARF Document ID
sarf.120023
Segment Pages Author Actions
Frontmatter
i-ii V.V. Narliker, C.V.H. Rao, N.G. Shabde view
On the Limit Points of A Function Connected with the Three-Square Problem
1-6 M.C. Chakrabarti view
Interpolation Polynomials in Two and more Variables
7-14 D.L. Lal, P.N. Dasgupta view
On a Diophantine Equation
15-20 N.M. Basu view
Polytropic Gas Models with Variable Angular Velocity
21-42 P.L. Bhatnagar view
On some Congruence Quadrics Obtained from Linear Complexes of the Irreducible System of Two Quaternary Quadrics with Two Linear Complexes
43-50 N. Chatterji, P.N. Dasgupta view
Backmatter
i-ii unknown view

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