In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

Precast prestreesed concrete braces are a new method for seismic strength of Concrete Structures which has the following benefits: a) no wet concrete work in construction site b) No bolt or anchorage to the existing frame c) easy to apply d) short construction period e) low construction cost, to evaluate seismic performance of strengthened structure a model consist of existing frame and concret...

Frames on Hilbert C*-modules have been defined for unital C*algebras by Frank and Larson [5] and operator-valued frames on a Hilbert space have been studied in [8]. The goal of this paper is to introduce operatorvalued frames on a Hilbert C*-module for a σ-unital C*-algebra. Theorem 1.4 reformulates the definition given in [5] in terms of a series of rank-one operators converging in the strict ...

Abstract We settle a part of the conjecture by Bandini and Valentino [‘On structure slopes Drinfeld cusp forms’, Exp. Math. 31 (2) (2022), 637–651] for $S_{k,l}(\Gamma _0(T))$ when $\mathrm {dim}\ S_{k,l}(\mathrm {GL}_2(A))\leq 2$ . frame check primes $\mathfrak {p}$ higher levels {p}\mathfrak {m}$ , show that level {p} \mathfrak does not hold if {m}\ne A$ $(k,l)=(2,1)$

In 1996, a common trinucleotide circular code, called X, is identified in genes of eukaryotes and prokaryotes (Arquès and Michel, 1996). This circular code X is a set of 20 trinucleotides allowing the reading frames in genes to be retrieved locally, i.e. anywhere in genes and in particular without start codons. This reading frame retrieval needs a window length l of 12 nucleotides (l ≥ 12). Wit...

A unified modeling framework is defined and an image-based visual servoing scheme is introduced to evaluate the feasibility of a vision-based guidance for a UAV model during survey missions and for automatic landing. Relevant image features are selected to allow for the proposed objective, namely decoupling rotation and translation in the image, and allowing to respect the natural separation be...

ion of the semantic information from the semantic graph and embedding of the meaning of the headword in the frame (Par t ia l de f in i t i on of the headword) (A set of par t ia l def in i t ions)

in this paper, a new method for determining position and orientation of a coordinate system using its image is presented. this coordinate system is a three dimensional non-orthogonal system in respect to the two dimensional and orthogonal camera coordinate system.  in real world, it’s exactly easy to select three directions on an object so that they don’t be orthogonal and on a plane. the image...