In this paper, we study the Chebyshev property of the 3-dimentional vector space $E =langle I_0, I_1, I_2rangle$, where $I_k(h)=int_{H=h}x^ky,dx$ and $H(x,y)=frac{1}{2}y^2+frac{1}{2}(e^{-2x}+1)-e^{-x}$ is a non-algebraic Hamiltonian function. Our main result asserts that $E$ is an extended complete Chebyshev space for $hin(0,frac{1}{2})$. To this end, we use the criterion and tools developed by...

Abstract In order to improve the complexity of chaotic mapping and security image encryption algorithms, this paper proposes a new coupled three-dimensional system based on sine lorenz mapping. Based system, color algorithm is proposed, which performs index position scrambling Arnold bit plane plaintext image, then an XOR diffusion operation scrambled ciphertext obtain final image. Simulation e...

Digital technologies have been extensively studied in academic research and industry. However, little is known about the adoption of digital manufacturing firms at a supply chain level. This paper aims to understand why how adopt technologies, impact on chains. The study uses literature review method, identifies main drivers adopting (why), develops new model process (how), synthesizes chains i...

The Shortest Vector Problem (SVP) is the most famous and widely studied computational problem on lattices. Given a lattice L (typically represented by a basis), SVP asks to find the shortest nonzero vector in L. The problem can be defined with respect to any norm, but the Euclidean norm is the most common (see the entry lattice for a definition). A variant of SVP (commonly studied in computatio...

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The COVID-19 pandemic struck humanity in February 2020. Closures of educational institutions, worldwide, resulted to the creation emergency remote teaching environments as a substitute face learning. disruption caused academic community has stimulated innovative learning methods within all levels sector. New parameters affecting knowledge transmission are getting involved while students follow ...