In this paper, composites containing hydrophilic particles uniformly dispersed within a hydrophobic network have been studied, Theoretical issues governing the release characteristics have been defined, When the hydrophilic content is below the percolation threshold, either equilibrium swelling or osmotic rupturing would occur. Theoretical criteria to determine whether equilibrium swelling or osmotic rupturing would occur are defined and a model for predicting the extent of equilibrium swelling in the presence of mechanical constraint is offered. Different drug release mechanisms can be achieved by choosing different materials and various formulation factors.

In this paper, we study a class of representations of arithmetic functions, and corresponding operator-theoretic and free probabilistic properties. We associate given arithmetic functions f to certain MATRICES an(f).

In this work are studied the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.

We shall discuss the matrix geometric mean for the positive definite MATRICES. The set of all n ´ n MATRICES with a suitable inner product will be a Hilbert space, and the matrix geometric mean can be considered as a path between two positive MATRICES. In this paper, we shall obtain a matrix geometric mean inequality, and as an application of it, a property of Riemannian metric space is given. We also obtain some examples related to our result.

In this paper, at first for a given set of real or complex numbers with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which s is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal MATRICES.

In this paper we study positive operator monotone functions on (0, 1) which have some differences from those on (0,¥): we show that for a concave operator monotone function f on (0, 1), the Kwong MATRICES Kf (s1, . . . , sn) are positive semidefinite for all n and siÎ(0, 1), and f(sp)1/p for 0<p£1 and s/f(s) are operator monotone. We also give a sufficient condition for the Kwong MATRICES to be positive semidefinite.

The existence of financial flexibility is considered as one of the development strategies in the functional structures of companies in the face of market challenges and changes, which maximizes the company's values in a competitive market And gives the company the capability to respond appropriately to unforeseen events and situations around the company. The flexibility functions of financial acceptability can also play a role in strengthening the company's strategic capacity to finance and meet the expectations of stakeholders, making the company more dynamic in its decisions about capital structure composition. The Purpose of this research is SAP-LAP Scenario Analysis of Financial/Accounting Functions Decision. This research in terms of methodology, Is the mixed method studies, and in terms of results, It is part of developmental research, and in terms of purpose, in the category of descriptive research, it is separated with the aim of describing the phenomenon in question, finally, in terms of logic, data collection is inductive-deductive. The statistical population of this study consists of two parts. In the first part, 16 experts in the field of finance, accounting and management of Abadan Oil Refining Company participated. And in the second part of the study, 8 first-step specialists who had priority in terms of both academic education and experience participated in most of the focus groups. In this study, data collection tools were score and matrix checklists that were analyzed based on the SAP-LAP scenario analysis process. This analysis considers 6 approaches (Situation), (Actor), (Process)→ SAP, and (Learning); (Action); (Performance) → LAP in identification to scenarioization. The results of the research were examined in the form of 4 Self-interaction MATRICES; Cross-interaction MATRICES; Assessment MATRICES; Quantitative Strategic Planning MATRICES and finally the results were determined the best scenario for the financial flexibility of Abadan Oil Refining Company is the effective scenario of financial flexibility as an actor-learning, and the lowest possible scenario in this field is the process-learning scenario.