We construct a string field Hamiltonian describing the dynamics of open and closed strings with effective target-space dimension c ≤ 1. In order to do so, we first derive the Dyson-Schwinger equations for the underlying large N vector+matrix model and formulate them as a set of constraints satisfying decoupled Virasoro and U(1) current algebras. The Hamiltonian consists of a bulk and a boundary...

Let A be an n × m matrix with real entries. Consider the set BadA of x ∈ [0, 1)n for which there exists a constant c(x) > 0 such that for any q ∈ Zm the distance between x and the point {Aq} is at least c(x)|q|−m/n . It is shown that the intersection of BadA with any suitably regular fractal set is of maximal Hausdorff dimension. The linear form systems investigated in this paper are natural ex...

We report an algorithm for the partition of a line segment according to a given ratio ν. At each step the length distribution among sets of the partition follows a binomial distribution. We call k-set to the set of elements with the same length at the step n. The total number of elements is 2 and the number of elements in a same k-set is C n. In the limit of an infinite partion this object beco...

The project aims to explore two fractal models (by Lowen and Liebovitch) of ion channel kinetics, and how this affects spike train patterns. The project also intends to extend the Liebovitch model and explore how fractal dimension affects potassium ion channel conductance profiles, and the behavior and rate of action potentials. 1 I n t r o d u c t i o n Fractal patterns have been used to model...

Fractures play an important role in steam production from geothermal reservoirs. It has been a challenge for a long time to characterize materials with a high density of fractures such as The Geysers rock. Experimental data showed that the capillary pressure curves of The Geysers rock are very different from that of Berea sandstone. Methods to characterize the difference between the two have be...

Detection of mineralized zones based on ores and gangues is important for mine planning and excavation operation. The major goal of this research work was to determine the zones based on ores and gangues by a combination of fractal and factor analysis in the Chah Gaz iron ore (Central Iran). The Concentration-Volume (C-V) fractal method was carried out for Fe, P and S, which indicated that the ...

The purpose of this research was to prepare a floating matrix tablet containing domperidone as a model drug. Polyethylene oxide (PEO) and hydroxypropyl methylcellulose (HPMC) were evaluated for matrix-forming properties. A simplex lattice design was applied to systemically optimize the drug release profile. The amounts of PEO WSR 303, HPMC K15M and sodium bicarbonate were selected as independen...

The purpose of this research was to prepare a floating matrix tablet containing domperidone as a model drug. Polyethylene oxide (PEO) and hydroxypropyl methylcellulose (HPMC) were evaluated for matrix-forming properties. A simplex lattice design was applied to systemically optimize the drug release profile. The amounts of PEO WSR 303, HPMC K15M and sodium bicarbonate were selected as independen...

A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...