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...

A double-dwell acquisition system that can simultaneously operate search and verification processes, by employing two correlation blocks, is proposed. The search block continuously looks for threshold-crossing instants, and at those instants, the verification block is reset and reinitiated. The threshold is time varying and updated depending on the partial correlation. Computer simulation resul...

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...

Trace Recalling is a novel method for deconvoluting double traces that result from simultaneously sequencing two DNA templates. Trace Recalling identifies up to two bases at each position of such a trace. The resulting ambiguity sequence is aligned to the genome, identifying one template sequence. A second template sequence is then inferred from this alignment. This technique makes possible man...