After reviewing the theory of triangular (causal) and rectangular quantum stochastic double product integrals, we consider examples when these consist of unitary operators. We find an explicit form for all such rectangular product integrals which can be described as second quantizations. Causal products are proposed as paradigm limits of large random matrices in which the randomness is explicit...

This paper acquaints the synchronization of coupled oscillatory system with double tetrahedral forms as a sharing triangular face. We confirm the synchronization phenomena by measuring the phase differences between adjacent oscillators. Also, we obtain the amplitude of each oscillator using the simulation results.

The double integral representing the entropy Stri of spanning trees on a large triangular lattice is evaluated using two different methods, one algebraic and one graphical. Both methods lead to the same result Stri = (4π ) ∫ 2π 0 dθ ∫ 2π 0 dφ ln [6− 2 cos θ − 2 cosφ− 2 cos(θ + φ)] = (3 √ 3/π)(1− 5 + 7 − 11 + 13 − · · · ).

Let H be a finite Hopf algebra with CH,H = C −1 H,H . The duality theorem is shown for H, i.e., (R#H)#H ∗̂ ∼= R ⊗ (H⊗̄H ) as algebras in C. Also, it is proved that the Drinfeld double (D(H), [b]) is a quasi-triangular Hopf algebra in C. 2000 Mathematics subject Classification: 16w30.

Abstract Cancer is the leading cause of death worldwide. Current anticancer drugs involve various toxic side effects; efforts are ongoing to develop new anticancer agents especially from the screening of natural compounds. Present study investigated cytotoxic effects and mode of cell death induced by the Caspian cobra venom in some human cancer cell lines. Cytotoxic effects of snake venom toxin...

Abstract Cancer is the leading cause of death worldwide. Current anticancer drugs involve various toxic side effects; efforts are ongoing to develop new anticancer agents especially from the screening of natural compounds. Present study investigated cytotoxic effects and mode of cell death induced by the Caspian cobra venom in some human cancer cell lines. Cytotoxic effects of snake venom toxin...

We study the transmission probability of Dirac fermions in graphene scattered by a triangular double barrier potential presence an external magnetic field. Our system made two regions separated well region characterized energy gap. Solving our Dirac-like equation and matching solutions at boundaries allowed us to express reflection coefficients terms transfer matrix. show particular that exhibi...