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510 MATHEMATICS 004 HOQUE, A. (Dept. of Mathematics,
University of Rajshahi, Rajshahi).
001 ALI, M.S (Dept. of Mathematics, MEASUREMENTS OF VOID FRACTION
University of Dhaka, Dhaka) EXISTENCE OF IN VERTICAL CIRCULAR PLUNGING
COMPACT COMPLEX LEGENDRE JET AND ITS VARIOUS PROPERTIES. J.
SUBMANIFOLDS. J. Bang. Acad. Sci., 2006, Bang. Acad. Sci., 2006, 30 (2), 239-247.
30 (1), 65-74.
Measurements of the local data of void
A theorem on the existence of moduli spaces of fraction and bubble count rate have been
compact complex Legendre submanifolds in performed using a conductivity probe. The
complex contact manifolds is established. results indicate that the distributions of void
fraction follow closely analytical solutions of
002 BANIK, J.S. & SHIL, R.N. (Dept. of the diffusion equation, as developed by
Statistics, University of Chittagong, Chittagong). Chanson. Data analysis also suggests that the
THE ESTIMATION OF MISSING air entrainment process depends on the jet
OBSERVATIONS AND THEIR VARIANCE impact velocity and penetration depth has
COMPONENTS IN SPLIT-PLOT DESIGN. J. been found to be a sensitive to falling water jet
Bang. Acad. Sci., 2007, 31(1), 87-96. height.
Missing observations are almost sure in most of 005 HOSSAIN, M.S.; ALI, D.M. &
the applied experiments; therefore their HOSSAIN M.A. (Dept. of Mathematics,
estimates are necessary to carry out the usual University of Rajshahi, Rajshahi). ON T 1-
process of analysis. Again, in case of significant FUZZY BITOPOLOGICAL SPACES. J.
value of F they are in a position to carry out Bang. Acad. Sci., 2007, 31(1), 129-135.
different multiple comparison tests and/or to see
the performances pair wise, in that case, the In this paper, the researchers introduce and
standard error of the difference of treatment study four classes of T 1-fuzzy bitopological
means is necessary. Estimations of missing spaces and they establish some relationships
observations in basic designs have been done. among them. They also study some other
Here we have considered the estimation of properties of these spaces.
missing observations and their variance
components as well as the difference of 006 PRAMANIK, J.N.; PAUL, G. &
treatment means for all possible cases in split- BHATTACHARJEE, S.K. (Department of
plot design. Mathematics, University of Rajshasi,
Rajshahi). INITIAL MASS FUNCTIONS OF
003 DEY, P.; ALI, M.Z. (Dept. of YOUNG CLUSTERS NGC 2264, NGC 1976,
Mathematics, Rajshahi University, Rajshahi) & AND THE ONC IN CONSTANT MASS
ALAM, M. S. (Dept. of Mathematics, Rajshahi MODEL OF STELLAR EVOLUTION. J.
University of Engineering & Technology, Bang. Acad. Sci., 2007, 31(2), 247-252.
Rajshahi). AN ASYMPTOTIC METHOD FOR
TIME DEPENDENT NONLINEAR OVER- Initial mass function has been obtained for
DAMPED SYSTEMS. J. Bang. Acad. Sci., each of three young clusters NGC 2264, NGC
2007, 31(1), 103-108. 1976, and the Orion Nebula cluster
analytically by the approximated polytropic
A technique is presented for obtaining an method following constant mass evolution of
asymptotic solution of a second order nonlinear PMS star. The distridution is found to obey a
differential equation by Krylov-Bogoliubov- power law form over most of the range in each
Mitroplshkii method with a large damping and cluster. The distribution closely resembles
non-periodic external force. The method is Salpeter's law in each case.
illustrated by an example.
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