We review the first iteration of an Alternate Reality Game (ARG) designed to engage middle school students in the interpretive process behind history and the mathematical roots of cryptography and cartography. Building from the core characteristic of ARGs as collaborative sense-making systems, we sought to integrate elements of effective cooperative learning environments, such as positive inter...

background and objective: scorpion sting and snakebite are the important problems in some area such as iran that must be addressed. this study was to investigate temporal pattern of scorpion sting and snakebite incidence in patients referred to masjedsoleiman’s main hospital, during 24 months from 21 march 2008 to 20 march 2009. materials and methods: it was an analytical study to scrutiny of m...

The intimate relationship between the Penrose and the Taylor-Socolar tilings is studied, within both the context of double hexagon tiles and the algebraic context of hierarchical inverse sequences of triangular lattices. This unified approach produces both types of tilings together, clarifies their relationship and offers straightforward proofs of their basic properties.

Abstract We consider two natural gradings on the space of symmetric functions: by degree and length. introduce a differential operator T that leaves components this double grading invariant exhibit basis bihomogeneous functions in which is triangular. This allows us to compute eigenvalues , turn out be nonnegative integers.

Abstract Horizontal and vertical generating functions recursion relations have been investigated by Comtet for triangular double sequences. In this paper we investigate the horizontal log-concavity of sequences assigned to polynomials which show up in combinatorics, number theory physics. This includes Laguerre polynomials, Pochhammer D’Arcais Nekrasov–Okounkov polynomials.

We show that iterated stochastic integrals can be described equivalently either by the conventional forward adapted, or by backward adapted quantum stochastic calculus. By using this equivalence we establish two properties of triangular (causal) and rectangular double quantum stochastic product integrals, namely a necessary and su¢ cient condition for their unitarity, and the coboundary relatio...

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.

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.