Weighted and controlled frames have been introduced recently to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper we develop systematically these notions, including their mutual relationship. We will show that controlled frames are equivalent to standard frames and so this concept gives a generalized way to check the frame condition, while ...

for the nonlinear analysis of structures using the well known newton-raphson method, the tangent stiffness matrices of the elements must be constructed in each iteration. due to the high expense required to find the exact tangent stiffness matrices, researchers have developed novel innovations into the newton-raphson method to reduce the cost and time required by the analysis. in this paper, a ...

We investigate how the comoving curvature and tensor perturbations are transformed under generalized disformal transformation with second-order covariant derivatives of scalar field, where free functions depend on fundamental elements constructed field at most quadratic order derivatives. Our analysis reveals that superhorizon scales difference between in original new frames is given by combina...

In this paper, we consider a class of abstract Cauchy problems in the framework generalized Caputo type fractional. We discuss existence and uniqueness mild solutions to such fractional differential equations by using properties found related calculus, theory uniformly continuous semigroups operators fixed point theorem. Moreover, dependence on parameters Ulam stability solutions. At end bring ...

abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

Abstract: Series of Generalized Net (GN) models were constructed to describe the way of functioning and the results of the work of different types of Expert Systems (ESs) from production or frame-type data bases. The present GN-model represents the functioning and the results of the work of an ES with frame-type data base with intuitionistic fuzzy evaluations of the frames and of the truth-valu...

In this paper, we present a novel index, called the Generalized Control Number (GCTN ), which evaluates the closeness of a given non-singular configuration of a hexapod with UCU-legs to the next singularity. The GCTN is invariant with respect to similarity transformations (choice of units) and under Euclidean motions of the reference frame (choice of fixed frame). Moreover, this index indicates...