The initial value problem for the KdV equation @tu+ u@xu + @ 3 xu = 0; u(x; 0) = (x) establishes a nonlinear map K from H(R) to C([ T; T ];H(R)). It has been known for many years that this map K is continuous [2] , [17] and is proved recently being Lipschitz continuous [23]. In this paper it is shown that the nonlinear map K is in nitely many times Frechet di erentiable from H(R) to C([ T; T ];...

Frechet distance is one of the most fundamental measures used to compute dissimilarity between two sequences of points (e.g., between two signatures recorded by an electronic pen). It is often referred to as the “dog-leash” distance. This is because it corresponds to the minimal length of a “leash” so that a dog and its owner can traverse their respective sequences from beginning to end, while ...

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...

in this study, for evaluating ductility of ordinary concentrically braced frames (ocbfs) and special concentrically braced frames (scbfs) which are x- braced in two adjacent middle spans, 16 steel ordinary concentrically braced frames and 16 special concentrically braced frames are studied. the results confirm that, although most of ordinary concentrically braced frames, which are x-braced, can...

We initiate a study of non-commutative Choquet boundary for spaces unbounded operators. define the notion local representations operator systems in locally C⁎-algebras and prove that provide an intrinsic invariant particular class systems. An appropriate analog purity completely positive maps on is used to characterize Frechet C⁎-algebras.

Given a compact Kahler manifold, the space $\mathcal H$ of its (relative) potentials is an infinite dimensional Frechet on which Mabuchi and Semmes have introduced natural connection $\nabla$. We study certain Lagrangians $T\mathcal H$, in particular Finsler metrics, that are parallel with respect to connection. show geodesics $\nabla$ paths least action, prove convexity property action. This g...

in this paper we proved that every g-riesz basis for hilbert space $h$ with respect to $k$ by adding a condition is a riesz basis for hilbert $b(k)$-module $b(h,k)$. this is an extension of [a. askarizadeh,m. a. dehghan, {em g-frames as special frames}, turk. j. math., 35, (2011) 1-11]. also, we derived similar results for g-orthonormal and orthogonal bases. some relationships between dual fram...

development of new methods in seismic analysis and increasing application of performance based seismic design necessitate the study of the seismic performance of structures designed based on iranian regulations. in this study the seismic performance of steel moment-resisting frames designed based on the tenth code of the iranian national building regulations is investigated. frames are differen...

This article introduces a new family of Generalized Exponentiated Exponential distribution. Using the T-R{Y} framework, T-Exponentiated Exponential{Y} distributions named Exponential{Frechet} is proposed. Some general properties such as hazard rate function, quantile non-central moment, mode, mean absolute deviations and Shannon’s entropy are discussed. A continuous univariate probability distr...