purpose of this study was to investigate the effect of the presence of the water soluble polymers viz hpmc, pvp and peg 6000 on aqueous solubility and complexation abilities of felodipine with or without presence of β-cyclodextrin (βcd) and hpβcd by phase solubility studies. the data revealed the initial increase in drug solubility followed by plateau in the presence of relatively low polymer c...

We study a construction of the Mathieu group M12 using a game reminiscent of Loyd’s “15-puzzle”. The elements of M12 are realized as permutations on 12 of the 13 points of the finite projective plane of order 3. There is a natural extension to a “pseudogroup” M13 acting on all 13 points, which exhibits a limited form of sextuple transitivity. Another corollary of the construction is a metric, a...

In this paper, the optimality of ternary arithmetic is investigated under strict mathematical formulation. The arithmetic systems are presented in generic form, as the means to encode numeric values, and the choice of radix is asserted as the main parameter to assess the efficiency of the representation, in terms of information compactness and estimated implementation cost in hardware. Using pr...

We consider the problem of classifying all positive-definite integer-valued quadratic forms that represent all positive odd integers. Kaplansky considered this problem for ternary forms, giving a list of 23 candidates, and proving that 19 of those represent all positive odds. (Jagy later dealt with a 20th candidate.) Assuming that the remaining three forms represent all positive odds, we prove ...

The analytical theory of one dimensional, dispersion free miscible displacement of oil by injection gas with nc component has shown that: the MMP is the lowest pressure at which any one of the initial oil, injection gas or crossover key tie lines becomes critical, which means that its length approaches to zero. In this paper, we propose a method for a solving multi component syst...

The introduction of Decision Diagrams (DDs) has brought new means towards solving many of the problems involved in digital circuit design. Compactness of the representation is one key issue. Ordered Pseudo Kronecker Decision Diagrams (OPKDDs) together with the use of complemented edges is known to offer the most general ordered, read-once DD representation at the bit-level, hence OPKDDs hold al...

Let C be a code of length n over an alphabet of size q. A word d is a descendant of a pair of codewords x,y ∈ C if di ∈ {xi, yi} for 1 ≤ i ≤ n. A code C is an identifiable parent property (IPP) code if the following property holds. Whenever we are given C and a descendant d of a pair of codewords in C, it is possible to determine at least one of these codewords. The paper introduces the notion ...

Abstract T emory designs with replication numbers all or all but one of the values in the range 1\(V-1J/(K-l} to 1\(V-l)/(K-2) are studied. It is known that for K=3 and replication numbers all values in the range 1\{V-l) /(K-l J to 1\(V-l }/(K-2J, designs exist if and only if 1\=2. Here we show the uniqueness of such designs. When K=3 and all values in the range 1\(V-l J/(K-l) to 1\(V-l )/(K-2)...

We study a construction of the Mathieu group M12 using a game reminiscent of Loyd’s “15-puzzle”. The elements of M12 are realized as permutations on 12 of the 13 points of the finite projective plane of order 3. There is a natural extension to a “pseudogroup” M13 acting on all 13 points, which exhibits a limited form of sextuple transitivity. Another corollary of the construction is a metric, a...