In this paper we study the large N limit of O(N)-invariant linear sigma model, which is a vector-valued generalization $$\Phi ^4$$ quantum field theory, on three dimensional torus. We problem via its stochastic quantization, yields coupled system interacting SPDEs. prove tightness invariant measures in limit. For enough mass or small coupling constant, they converge to (massive) Gaussian free a...

precise application of the n fertilizer rate is critical to achieve maximum yield. in major regions, empirical methods were used for determining n fertilizer requirement. these methods cannot take into account variation in management and environmental conditions on determining fertilizer requirement. crop simulation models can provide an alternative means of determining the optimum crop n requi...

The one-dimensional Hubbard model is known to possess an extended su(2) symmetry and to be integrable. I introduce an integrable model with an extended su(n) symmetry. This model contains the usual su(2) Hubbard model and has a set of features that makes it the natural su(n) generalization of the Hubbard model. Complete integrability is shown by introducing the L-matrix and showing that the tra...

shows nonuniversal critical behavior in two dimensions in the neighborhood of K4 =0. To see if this behavior persists for N & 2 we perform a first-order-perturbation expansion around the decoupling point in two dimensions. As an aid in interpreting the results of this perturbation expansion we have determined the phase diagram of the system through mean-field theory and Monte Carlo studies in 1...

An invasive nspergillosis mtldel in rabbits was attempted using 3 concenuatiws of A. funligarw uonidia. Conidia ancenlra~ions af 1 X 106, 1 x 10' and I x 1 P wcre inoculated inlravenouslp into raljbits. The severiry oC inreclion was directly proporlional to the inoculum size of hc conidia. A ~pu~i l l1rs~1irn igat11~ W as isolaled from Iive-rs, kidneys, spleens, hcarts and lungs of infwtcd rabb...

The natural su(N) generalization of the XX model is introduced and analyzed. It is defined in terms of the characterizing properties of the usual XX model: the existence of two infinite sequences of mutually commuting conservation laws and the existence of two infinite sequences of mastersymmetries. The integrability of these models, which cannot be obtained in a degenerate limit of the su(N)-X...

This paper describes an extension of the n-gram language model: the similar n-gram language model. The estimation of the probability P (s) of a string s by the classical model of order n is computed using statistics of occurrences of the last nwords of the string in the corpus, whereas the proposed model further uses all the strings s′ for which the Levenshtein distance to s is smaller than a g...