In this section, we show that the density measure (Definition 1) used in the main paper satisfies properties that a reasonable “anomalousness” measure should meet. These properties were proposed in [Jiang et al. 2015]. Here, we consider two N -way tensors, T of size I1 × I2 × ...× IN and T′ of size I ′ 1 × I ′ 2 × ...× I ′ N . We denote the sum of the entries in each tensor by sum(T) and sum(T′...

Recent interest in horizontal symmetry model building has been driven mainly by the large top mass and hence strong hierarchy in quark masses, and the possibility of appropriately constrained soft squark mass matrices, in place of an assumed universality condition, for satisfying the relevant FCNC constraints. Here we present the first successful SUSY-SU (5) model that has such a feature. The h...

The results of eight years of study of the ectomycorrhizal macrofungi at the subalpine Lyman Lake Basin (Glacier Peak Wilderness area in the North Cascade Mountains, Washington, USA) are reported. The basin was divided into three sites: the primary successional glacier forefront vs two secondary successional habitats (subalpine parkland and old-growth montane Tsuga mertensiana-Abies amabilis). ...

The upper Triassic deposits of the Selous Basin in south Tanzania have not been prospected for fossil tetrapods since the middle of last century, when Gordon M. Stockley collected two rhynchosaur bone fragments from the so called "Tunduru beds". Here we present the results of a field trip conducted in July 2015 to the vicinities of Tunduru and Msamara, Ruvuma Region, Tanzania, in search for sim...

Matrix polynomials appear in many areas of computational algebra, control systems theory, di‚erential equations, and mechanics, typically with real or complex coecients. Because of numerical error and instability, a matrix polynomial may appear of considerably higher rank (generically full rank), while being very close to a rank-de€cient matrix. “Close” is de€ned naturally under the Frobenius ...

The expansion of irrigated agriculture during the Soviet Union (SU) era made Central Asia a leading cotton production region in the world. However, the successor states of the SU in Central Asia face on-going environmental damages and soil degradation that are endangering the sustainability of agricultural production. With Landsat MSS and TM data from 1972/73, 1977, 1987, 1998, and 2000 the exp...

A relation between the timing of the El Niño onset and its subsequent evolution is examined by emphasizing its association with the Indian Ocean (IO) SST variation. Two types of El Niño events based on the timing of their onset are classified and their characteristics are examined and compared. In general, spring onset (SP) events grow greater in magnitude and their evolutions have a faster tra...