Vol. 4 Issue 2

Boubaker-Khaled Sadallah
It is well known that the heat operator is an isomorphism from a certain Sobolev space onto the space of square integrable functions, as long as the domain of these functions is smooth (cylindrical). We prove that the same result remains true when the domain is any convex polyhedron. The proof uses the elliptic regularization method and some results of Sadallah (1976)

Salman A. Al-Salman and Fawzi A. Al-Thukair
In this paper we investigate transitive (2, 3, 6) subgroups of Sn, 6<= n<= 23. We find 13 such groups up to isomorphism, we point out their structure and locate them in Sn. Also we interpret some of them grometrically

Ali Ahmad Fora
The following result is proved in this paper: Let X be a topological space. Then the following are equivalent: a) X is sub sizable b) X is sizable c) X is submetrizable Several results are obtained as corollaries of the above theorem. These corollaries show the powerfulness of this theorem and show that the further study of sizable spaces is unwarranted

O. Khalil and T. R. G. Gray
Penicillium decumbens produced large quantities of free amino acids, peptides and proteins into the culture medium. Chemotactic response of Bacillus subtilis to the fungus filtrate and some amino acids were examined. Three times as many bacteria were attracted by the culture filtrate than by the original culture medium. Numbers of bacteria attracted by optimum concentration of leucine, serine or alanine were in the range of 8.2- 9.9 x 10^4 compared to 1.6 X 10^3 bacteria attracted by the control (chemotaxis medium). The fungus filtrate and the amino acids were still goo attractants at high hydrogen ion concentrations. It is postulated that if fungi can exude similar substances in soil, motile bacteria like B. subtilis could be attracted to them, provided that a continuous water film exists

Mohamed I. Naguib, Mohamed I. Ali, Nahed Z. Haikal and Eiman F. Sharaf
Six fungi, isolated from the rhizosphere of Glycine max and Zea mays, were selected for their variable resistance to soil application of cadmium nitrate and cadmium sulphate, at the range of 100-1000 ppm concentration. These were (a) Aspergillus terreus and Rhizopus oryzae: (b) Paecilomyces divaricata, Curvularia tetramera; (c) Fusarium oxysporum and (d) Cladosporium herbarum Fifty ppm cadmium salts exerted no effect on spore germination of R. oryzae, F. oxysporum or C. tetramera, stimulated A. terreus and P. divaricata and suppressed C. herbarum. 100 ppm dose exerted variable effects dependent on the organism and/or accompanying anion. 1000 ppm cadmium arrested spore germination of all the tested fungi except F. oxysporum where marked suppression were observed. Cadmium arrested growth of C. herbarum and P. divaricata at 50 ppm, initiated that of A. terreus, C. tetramera and F. oxysporum but seemed without effect on R. oryzae. Larger doses seemed to be inhibitory to all organisms, R. oryzae being least affected. Seven-day old mycelial felts of the last mentioned four fungi were produced from 5 mm diameter mycelial discs grown on media containing 0, 50, 100, or 500 ppm cadmium nitrate or cadmium sulphate. These, as well as the media, were analysed for their nitrogen and phosphorous components. The results show that nitrogen secretion was not a function of tolerance of the fungi to cadmium applied to the soil but was largely controlled by the effect of cadmium on the permeability of the cells of each individual fungus. Cadmium seemed to stimulate nitrogen metabolism of Aspergillus and Fusarium, had little to no effect on that of Rhizopus but suppressed that of Curvularia. Most accumulated nitrogen was in the form of amino and other soluble nitrogen. Cadmium inhibited the incorporation of absorbed phosphorus into energy-rich compounds. this was concomitant with the failure of amino acid incorporation into proteins

M.A. Abdulmomen and A. Y. Abul-Magd
The effective number of nucleons with which a (endothermic) (1232) shares its energy when it decays inside a nucleus is calculated by assuming that the (endothermy) simultaneously interacts with all the surrounding nucleons within a certain range.

M. Ghobashy, T. El-Dessouki and M.S. El-Toukhy
On the basis of Hopkins' method the design of achromatic objectives, erectors and eyepieces has been investigated. Many trials were done 10 control the aberralion of Ihe designed lenses. The optical glasses were chosen from those readily available in Egypt, so the designed lenses can be manufactured and inspected easily. Good agreement has been obtained between the calculated optical properties and those measured experimentally on the finished lenses.

Amin H. Meshal and H. Mostafa Hassan
Monthly mean evaporation from the central part of the Gulf is estimated by the aerodynamic method using meteorological and oceanographic data collected in the region during the period 1981-1982. The mean annual evaporation is 201.6 cm with its highest value in June and lowest in January/February.

Jasem M. Abdul-Salam
Two hundred and eight stray dogs caught in different localities in the State of Kuwait were examined for intestinal helminth parasites between December 1979 and August 1980. Six species of helminths were recovered: Ancylostoma caninum, Dipylidium caninum, Echinococcus granulosus, Heterophyes heterophyes, Taenia hydatigena and Toxascaris leonina. Infection with T. hydatigena (39.42%) was the most prevalent and was followed by infections with T. leonina (17.31 %) and E. granulosus (10.58%). Apart from E. granulosus, the other five species were recorded for the first time from Kuwait. The public health importance and possible transmission cycles for the recovered species are discussed.

Mohammed Bahgat Hussein Mohammed
The patterns of orientation of individual sclerotomal cells have been evaluated in the perichordal region of the chick embryo at stages 20, 23 and 26. Orientation was measured by determining the angular relationship between the Golgi-nucleus axis of each cell relative to the notochordal axis. These analyses showed that the mesenchyme cells are oriented predominantly toward the notochordal axis.