The critical behavior of the genus-zero two point function in the D = 1 ma_ trix model is carefully analyzed for arbitrary embedding-space momentum. It is shown that Kostov’s result is valid only for momenta below a (non-universal) cutoff. We extend the large-N WKB treatment to calculate the genus-zero three point function, and elucidate its critical behavior for momenta below the cutoff. Submi...

J. M. McNamee** Department of Computer Science and Mathematics, York University, Downsview, Ontario M3J 2R7 May 9, 1978 A paper by Shie r (J. Res NBS 80B) shows how to pa rtition the graph of a ma trix into a tree so as to minimi ze the number of ope rations requi red to inve rt the matri x. The present paper shows how to economi ca ll y so lve a s pa rse system of linear eq uations afte r the ...

This paper provides a new framework for visualizing business models, guided by well-shaped visualization based on hypergraph technology, specifically, mind mapping. Our approach presents the future evolution of Ostervalder‘s ideas. To evaluate the efficiency of the proposed framework we conducted a pilot study involving an experiment with 22 experienced top-managers of Russian companies and exa...

The present paper is an attempt to test the applicability of the trophic state index (TRIX) for scaling the eutrophication along the Bulgarian Black Sea coastal zone in concert with a number of chemical and biological descriptors aimed at selection of relevant indicators of marine coastal area ecological quality. The following environmental parameters have been considered: t(o), salinity, nutri...

Alternative, basierend auf Q-einfachen Faktoren A f der Jacobischen Modulkur-ven X 0 (N): In diesem Fall ist die Anzahl der Punkte von A f /p für Primideale p mit guter Reduktion mittels der Theorie von Eichler-Shimura effizient berechen-bar. Falls A f zusätzlich absolut einfach und prinzipal polarisiert ist, existiert eine (bis auf Isomorphie eindeutig bestimmte) Kurve C f mit Jac(C f) C A f. ...

Some results in random matrices are generalized to supermatrices, in particular superma-trix integration is reduced to an integration over the eigenvalues and the resulting volume element is shown to be equivalent to a one dimensional Coulomb gas of both positive and negative charges.It is shown that,for polynomial potentials, after removing the instability due to the annihilation of opposite c...

In this paper we present a study of channel optimized ma­ trix quantizer (COMQ) applied to quantize LSP parameters in a CELP (Code Excited Linear Prediction) coder. A mod­ ification of the DoD FS-1016 standard [2} is used for this purpose. A Gaussian channel is considered as the channel through which information is sent and BPSK (Binary Phase Shift-Keying) is used as modulation technique. To me...

This paper explores unsupervised learning of parsing models along two directions.First, which models are identifiable from infinite data? We use a general tech-nique for numerically checking identifiability based on the rank of a Jacobian ma-trix, and apply it to several standard constituency and dependency parsing models.Second, for identifiable models, how do we estimate the p...