We give an explicit formula for the solution to the initial value problem of the full symmetric Toda hierarchy. The formula is obtained by the orthogonalization procedure of Szegö, and is also interpreted as a consequence of the QR factorization method of Symes [6]. The sorting property of the dynamics is also proved for the case of a generic symmetric matrix in the sense described in the text,...

A new computational technique is presented by which large structured matrices can be inverted. The specified matrix is viewed as the input-output operator of a time-varying system. Recently developed state space algorithms which apply to such systems are then used to compute a QR factorization first and subsequently the inverse of the matrix, starting from a state realization of the matrix. The...

Quick Response Code is one types of 2D barcode. QR Code has been widely used in many fields. Here proposes a complete preprocessing system for restoring low-quality Quick Response code images. The system has been designed to deal with low contrast, rotated and deformed code images. If any scratches are present in QR code the decoding algorithm is unable to decode. This removal technique consist...

As a hopeful computing paradigm, cloud services are obtainable to end users based on pay-as-you-go service. Security is represented one of the vital issues for extended adoption computing, with object accessing several service providers, applications, and by using anonymity features authenticate user. We present good authentication scheme quick response (QR) code smart card. Furthermore, our pr...

The use of color in QR codes brings extra data capacity, but also inflicts tremendous challenges on the decoding process due to chromatic distortion—cross-channel color interference and illumination variation. Particularly, we further discover a new type of chromatic distortion in high-density color QR codes—cross-module color interference—caused by the high density which also makes the geometr...

Quick Response (QR) codes have been discussed in the literature as adding value to teaching and learning. Despite their potential in education, more research is needed to inform practice and advance knowledge in this field. This paper investigated the integration of the QR code in classroom activities and the perceptions of the integration by pre-service teachers. Forty-four pre-service teacher...

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