OBJECTIVE Enamel matrix derivative (EMD) is used clinically to promote periodontal tissue regeneration. However, the effects of EMD on gingival epithelial cells during regeneration of periodontal tissues are unclear. In this in vitro study, we purified ameloblastin from EMD and investigated its biological effects on epithelial cells. MATERIAL AND METHODS Bioactive fractions were purified from...

Most of the natural textures are non-homogenous and stochastic by nature. In many cases these textures are also directional. In this paper we present a method for the retrieval of the non-homogenous directional textures. This method is directional histogram and it represents the directional distribution of the texture. The histogram can be formed using either directional filtering method or Hou...

The aim of this paper is to study and investigate some new properties of the beta polynomials. Taking derivative of the generating functions for beta type polynomials, we give two partial differential equations (PDEs). By using these PDEs, we derive derivative formulas of the beta type polynomials. In order to construct a matrix representation for the beta polynomials, we firstly show that the ...

Using the formalism of noncommutative geometric gauge theory based on the superconnection concept, we construct a new type of vector gauge theory possessing a shift-like symmetry and the usual gauge symmetry. The new shift-like symmetry is due to the matrix derivative of the noncommutative geometric gauge theory, and this gives rise to a mass term for the vector field without introducing the Hi...

ADIFOR is a source translator that, given a collection of Fortran subroutines for the computation of a \function," produces Fortran code for the computation of the derivatives of this function. More speciically, ADIFOR produces code to compute the matrix-matrix product JS, where J is the Jacobian of the \function" with respect to the user-deened independent variables, and S is the composition o...

The worst situation in computing the minimal nonnegative solution X∗ of a nonsymmetric algebraic Riccati equation R(X) = 0 associated with an M-matrix occurs when the derivative of R at X∗ is near to a singular matrix. When the derivative of R at X∗ is singular, the problem is ill-conditioned and the convergence of the algorithms based on matrix iterations is slow; however, there exist some tec...

ADIFOR is a source translator that, given a collection of Fortran subroutines for the computation of a \function," produces Fortran code for the computation of the derivatives of this function. More speciically, ADIFOR produces code to compute the matrix-matrix product JS, where J is the Jacobian of the \function" with respect to the user-deened independent variables, and S is the composition o...

The rst-order two-step nonlinear estimator, when applied to a problem of orbital navigation, is found to occasionally produce rst step covariance matrices with very low eigenvalues at certain trajectory points. This anomaly is the result of the linear approximation to the rst step covariance propagation. The study of this anomaly begins with expressing the propagation of the rst and second step...

The rst-order two-step nonlinear estimator, when applied to a problem of orbital navigation, is found to occasionally produce rst step covariance matrices with very low eigenvalues at certain trajectory points. This anomaly is the result of the linear approximation to the rst step covariance propagation. The study of this anomaly begins with expressing the propagation of the rst and second step...

This tutorial on functional derivatives focuses on Fréchet derivatives, a subtopic of functional analysis and of the calculus of variations. The reader is assumed to have experience with real analysis. Definitions and properties are discussed, and examples with functional Bregman divergence illustrate how to work with the Fréchet derivative. 1 Functional Derivatives Generalize the Vector Gradie...