this paper peresents a mathematical model for the thin layer drying of the viliamz cultivar of soybean. the thin layer drying behaviour of soybean was experimentally investigated and the mathematical modelling performed by using thin layer drying models provided in the literature. experiments were conducted at inlet drying air temperatures of 30, 40, 50, 60 and 70ºc and at a fixed drying air ve...

some arguments against infinite regress in islamic philosophy such as applied proof or argument of ones and thousands are based on the mathematical foundations and preliminaries. extraction and analysis of these preliminaries exposes mathematical nature of these arguments and shows that besides philosophical approach to these arguments should also look at them from perspective of mathematics. a...

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...

0

Mathematical Analysis Most of the mathematical analysis was computed using Mathematica (Wolfram Inc.) and MATLAB (Mathworks Inc.). The value of P(k) is defined as the probability a random node from the network is of degree k: P k = n! n where n! is the number of nodes in the network of degree k and n is the total number of nodes in the network. The function, P k , is referred to as the degree d...

3. (a) If F is as in Theorem 10.7, put A = F′(0), F1(x) = A −1F(x). Then F1(0) = I. Show that F1(x) = Gn◦Gn−1◦. . .◦G1(x) in some neighbourhood of 0, for certain primitive mappings G1, . . . ,Gn. This gives another version of Theorem 10.7: F(x) = F(0)Gn◦Gn−1◦. . .◦G1(x). (b) Prove that the mapping (x, y) 7→ (y, x) of R onto R is not the composition of any two primitive mappings, in any neighbou...