Invariant density for a class of initial distributions under quadratic mapping

For the discrete-time quadratic map xt+1=4xt(1-xt) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.

Changes in Biochemical Composition in Indian Major Carps in Relation to size

Total biochemical composition of freshwater major carps, Labeo rohita -(r9hu); Catla catla (catla); Cirrltinus tnrigala (mrigal), in relation to size was evaluated . The water soluble nitrogen fraction constituted about 21% of the tota l nitro gen . Salt so luble fraction constituted 55 - 60% of the total nitrogen. Non-protein nitrogen represented 12% of the total nit rogen in all the cases except mri gal of small size (9.36%). The insoluble connec tive tissu e contributed to 2-3 per cent of tota l nitrogen . The monounsaturated fatty acid s (MUFA) formed 31-39% of the total fatty acids and 60-68% of the MUFA in freshwat er carps was CI 8:1. The esse ntial amino acids contributed to 41 to 51% of the total amino acid s in freshwater major carps. Arom atic amino acid content was sligh tly higher compared to marine fishe s while the proportion of proline was less. Varia tions in compos ition in rela tion to size are discu ssed . The autolytic activi ty was significantly higher in small fish in all the three species