Based on fuzzy language field and fuzzy language value structure, a new knowledge representation frame is presented. A generalized cell automation and the corresponding generalized induction logic causal model are also proposed, which can synthetically process random and fuzzy indeterminacy. Thus, a new indeterminacy causal induction auto-reasoning mechanism is presented on the basis of fuzzy s...

Exact solutions of Schrödinger equation are obtained for PT-/non-PT-symmetric and non-Hermitian generalized Woods−Saxon potential to get the complex-valued energy eigenvalues and the corresponding eigenfunctions for the bound states. NikiforovUvarov method is used in the calculations and generalized by means of the complex conjugate polynomials on the PT−symmetric quantum mechanics frame of ref...

We offer an analytical solution for the optimal frame size of the non-muting version of the Basic Frame Slotted ALOHA collision resolution protocol for RFID networks. Previous investigations of RFID frame size have been empirical and have not yielded a general result. Our theoretical analysis provides a generalized result. Our solution can be used to determine the optimal frame size for any giv...

This paper presents a new model updating approach for structural damage localization and quantification. Based on the Modal Assurance Criterion (MAC), a new damage-sensitive cost function is introduced by employing the main diagonal and anti-diagonal members of the calculated Generalized Flexibility Matrix (GFM) for the monitored structure and its analytical model. Then, ...

We introduce a geometrical framework for double field theory in which generalized Riemann and torsion tensors are defined without reference to a particular basis. This invariant geometry provides a unifying framework for the frame-like and metric-like formulations developed before. We discuss the relation to generalized geometry and give an ‘index-free’ proof of the algebraic Bianchi identity. ...

in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.

in this paper, g-dual function-valued frames in l2(0;1) are in-troduced. we can achieve more reconstruction formulas to ob-tain signals in l2(0;1) by applying g-dual function-valued framesin l2(0;1).

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

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 ...