The aim of this study was to compare the vertical fracture resistance of roots obturated with different root canal filling materials and sealers. Crowns of 55 extracted mandibular premolar teeth were removed to provide root lengths of 13 mm. Five roots were saved as negative control group (canals unprepared and unfilled). Fifty root canals were instrumented and then five roots were saved as pos...

Newton iteration is the archetypal local algorithm for finding isolated, non-degenerate solutions of a system of non-linear equations. By local, it is understood that a good enough approximation of the solution is known. Newton iterates of this approximate solution will then converge quadratically to the exact solution. In this context, it is essential to be able to determine whether an approxi...

a specific form of the inertial law is presented by which we can gain a deeper insight into the essence of mass and inertia. in this modified theory, there is no need to keep the concept of absolute space and newton's third law as principles, by introducing a convenient form for gravitational law the coupling constant g becomes a function of inertial parameters of the universe

We develop the Sparse Approximate Matrix Multiply (SpAMM) n-body solver for first order Newton Schulz iteration of the matrix square root and inverse square root. The solver performs recursive two-sided metric queries on a modified Cauchy-Schwarz criterion (octree-occlusion-culling in the ijkcube), yielding a bounded relative error in the matrix-matrix product and reduced complexity for problem...

One of the ways to describe dynamical characteristics of the system is the s-transfer function, which belongs to the class of the so-called external descriptions and from the mathematical point of view it represents a rational function. Decomposition into the partial fractions (sum of exponential functions in the time domain) is based on the knowledge of the roots of the polynomial defined by t...

Variational inequalities, nonlinear programming, complementarity problems and other problems can be reduced to nonsmooth equations, for which some generalizations of Newton's method are known. The Newton path, as a natural generalization of the Newton direction, was suggested by D. Ralph for enlarging the convergence region (globalization) of Newton-Robinson's method in the nonsmooth case. We i...

introduction: the aim of this study was to evaluate the effect of proximal contour of class ii composite restorations placed with straight or contoured matrix band using composite resins with different modulus of elasticity on stress distribution by finite element method. methods: in order to evaluate the stress distribution of class ii composite restorations using finite element method, upper ...