We establish a relationship between the zeros of the partition function in the complex mass plane and the spectral properties of the Dirac operator in QCD. This relation is derived within the context of chiral Random Matrix Theory and applies to QCD when chiral symmetry is spontaneously broken. Further, we introduce and examine the concept of normal modes in chiral spectra. Using this formalism...

The twisted partition monoid P n ? is an infinite obtained from the classical finite by taking into account number of floating components when multiplying partitions. main result this paper a complete description congruences on . succinct encoding congruence, which we call C-pair, consists sequence + 1 additive N natural numbers and certain ( ) × matrix. We also give inclusion ordering in terms...

This paper investigates from the physical layer security (PLS) perspective the fundamental issues of mode selection and spectrum partition in cellular networks with inband device-to-device (D2D) communication. We consider a mode selection scheme allowing each D2D pair to probabilistically switch between the underlay and overlay modes, and also a spectrum partition scheme where the system spectr...

In recent years, a new generation of power grid system, referred to as the Smart Grid, with an aim of managing electricity demand in a sustainable, reliable, and economical manner has emerged. With greater knowledge of operational characteristics of individual appliances, necessary automation control strategies can be developed in the Smart Grid to operate appliances in an efficient manner. Thi...

1. C. B. Boyer, History of Analytic Geometry, Scripta Mathematica, New York, 1956. 2. J. L. Coolidge, The origin of analytic geometry, Osiris 1 (1936) 231–250, also available at www.jstor. org. 3. M. Ghomi and B. Solomon, Skew loops and quadric surfaces, Comment. Math. Helv. 4 (2002) 767–782. 4. J.-P. Sha and B. Solomon, No skew branes on non-degenerate hyperquadrics, Math. Zeit. 257 (2002) 225...

introduction: health care classifications are essential tools for collecting and processing health-related information. they also provide a unified language for interdisciplinary communications. nursing data is important for extension of knowledge, evaluating the quality and effectiveness of nursing care, and supporting human resource planning. therefore, an integrated system for collecting, st...

The classification of color is important in the management and evaluation red wine color. Nevertheless, current reports have not given a sound solution. A novel scheme for quantitative from perspective micro macro levels was proposed this work. overall performance 119 representative samples visualized classified into 125 micro-classifications according to partition chromaticity lightness Consid...