The aim of this paper is to introduce a general model of quantum computation, the quantum calculus: both unitary transformations and projective measurements are allowed; furthermore a complete classical control, including conditional structures and loops, is available. Complementary to its operational semantics, we introduce a pure denotational semantics for the quantum calculus. Based on proba...

The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them techniques. By leveraging properties of Pascal functionals and Wronskian matrices, derive several identities for these polynomials, including recurrence relations. It is highlighted that identities, acquired via techniques, are distinct from the ones obta...

This paper proposes an accurate numerical approach for computing the solution of two-dimensional fractional Volterra integral equations. The operational matrices integration based on Hybridization block-pulse and Taylor polynomials are implemented to transform these equations into a system linear algebraic error analysis proposed method is examined in detail. Numerical results highlight robustn...

The problem of finding the most cost efficient network design by considering two or more demand matrices that represent varying network traffic over several time periods, is referred to as multi-hour network design. Capacity installations need to be determined such that the network is robust enough to allow routing of the demand matrices non-simultaneously. In the paper the multi-hour network d...

the present study was undertaken to investigate the role of banana extract (be) on synchronous plantlet formation from seeds of dendrobium lituiflorum lindl. the seedlings formed on modified knudson c (kc) medium supplemented with 20% (v/v) be had significantly high fresh and dry weights. morphologically uniform plantlets with elongated leaves and well developed roots were formed on kc medium w...

"e studies have been performed to analyze the production of β-glucanase by a recombinant strain of Escherichia coli immobilized in di#erent matrices. Porous sintered glass SIRAN®, Ceramic supporting matrices and Broken Pumice stone as well as SIRAN Raschig-rings were examined for the immobilization of whole bacterial cells. "e β-glucanase activity of bacteria immobilized in CeramTec PST 5 (4–5 ...

and Applied Analysis 3 subject to the nonlinear system (8), for Q ∈ R, R ∈ Rm×m positive semidefinite and positive definite matrices, respectively. Since the performance index (9) is convex, the following extreme necessary conditions are also sufficient for optimality [28]: ?̇? = f (t, x) + g (t, x) u ∗ , ̇ λ = −H x (x, u ∗ , λ) , u ∗ = arg min u H(x, u, λ) , x (t 0 ) = x 0 , λ (t f ) = 0, (10) w...