-Activity expressions are presented for a six end-member, regular solution, site-mixing model for chlorites. The end members are ideal 14-/~ chlorites for which experimental stability data are lacking. Estimates were made of the standard state 25~ and 1 bar molar 3rd law entropies, volumes, and the Maier-Kelley heat capacity coefficients. Experimental stability data from the literature for 14-A...

In a previous paper a novel Generalized Multiobjective Multitree model (GMM-model) was proposed. This model considers for the first time multitree-multicast load balancing with splitting in a multiobjective context, whose mathematical solution is a whole Pareto optimal set that can include several results than it has been possible to find in the publications surveyed. To solve the GMM-model, in...

We study the susceptible-infected-recovered model of epidemics in the vicinity of the threshold infectivity. We derive the distribution of total outbreak size in the limit of large population size N . This is accomplished by mapping the problem to the first passage time of a random walker subject to a drift that increases linearly with time. We recover the scaling results of Ben-Naim and Krapiv...

We present a hermitian matrix chain representation of the general solution of the Hirota bilinear difference equation of three variables. In the large N limit this matrix model provides some explicit particular solutions of continuous differential Hirota equation of three variables. A relation of this representation to the eigenvalues of transfer matrices of 2D quantum integrable models is disc...

In 1995 T. J. Penna introduced a simple model of biological aging. A modified Penna model has been demonstrated to exhibit behaviour of real-life systems including catastrophic senescence in salmon and a mortality plateau at advanced ages. We present a general steady-state, analytic solution to the Penna model, able to deal with arbitrary birth and survivability functions. This solution is empl...

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vations from each of p genes. In [1] it is assumed that i , j = arg max{|β̂ij |} can be computed in time O(1) (it is also assumed that the inner products for updating the β̂ values can be computed in time O(1), but this is actually possible by using the fact that 〈Yk T , Y ∗ i − ηβ̂ijYj〉 = 〈Yk T , Y ∗ I 〉 − ηβ̂ij〈Yk T , Yi〉). This makes some sense, as the algorithm is implemented in Matlab and buil...