Let G be a connected reductive algebraic group defined over a field k of characteristic not 2, θ an involution of G defined over k, H a k-open subgroup of the fixed point group of θ and Gk (resp. Hk) the set of k-rational points of G (resp. H). The variety Gk/Hk is called a symmetric k-variety. For real and -adic symmetric k-varieties the space L(Gk/Hk ) of square integrable functions decompose...

the set of all non-increasing non-negative integer sequences $pi=(d_1‎, ‎d_2,ldots,d_n)$ is denoted by $ns_n$‎. ‎a sequence $piin ns_{n}$ is said to be graphic if it is the degree sequence of a simple graph $g$ on $n$ vertices‎, ‎and such a graph $g$ is called a realization of $pi$‎. ‎the set of all graphic sequences in $ns_{n}$ is denoted by $gs_{n}$‎. ‎the complete product split graph on $l‎ ...

Simulated data showed that cirrus clouds could lead to a maximum land surface temperature (LST) retrieval error of 11.0 K when using the generalized split-window (GSW) algorithm with a cirrus optical depth (COD) at 0.55 μm of 0.4 and in nadir view. A correction term in the COD linear function was added to the GSW algorithm to extend the GSW algorithm to cirrus cloudy conditions. The COD was acq...

Conventional resonant bar tests allow the measurement of seismic properties of rocks and sediments at low frequencies (several kilohertz). However, the tests require a long, slender sample which is often difficult to obtain from the deep subsurface and weak and fractured formations. We present an alternative low-frequency measurement technique to the conventional resonant bar tests. This techni...

We consider convex-concave saddle-point problems where the objective functionsmay be split in many components, and extend recent stochastic variance reductionmethods (such as SVRG or SAGA) to provide the first large-scale linearly conver-gent algorithms for this class of problems which are common in machine learning.While the algorithmic extension is straightforward, it come...

The fracture behavior of coal-seam roof rock in coal mining is a key and controlling factor for the mode optimization artificial caving. However, mechanism under loading not clear. In work, split Hopkinson pressure bar (SHPB) experiment was carried out using semicircular bending samples from sandstone Junger area Inner Mongolia at rate 0.35–3.78 GPa·m 0.5 ·s −1 , dynamic energy dissipation diff...

The quaternion linear canonical transform is an important tool in applied mathematics and it closely related to the Fourier transform. In this work, using a symmetric form of two-sided (QFT), we first derive variation on Heisenberg-type uncertainty principle transformation. We then consider general It may be considered as extension Based orthogonal plane split, develop convolution theorem that ...

‎in [u‎. ‎dempwolff‎, ‎on extensions of elementary abelian groups of order $2^{5}$ by $gl(5,2)$‎, ‎textit{rend‎. ‎sem‎. ‎mat‎. ‎univ‎. ‎padova}‎, ‎textbf{48} (1972)‎, ‎359‎ - ‎364.] dempwolff proved the existence of a group of the‎ ‎form $2^{5}{^{cdot}}gl(5,2)$ (a non split extension of the‎ ‎elementary abelian group $2^{5}$ by the general linear group‎ ‎$gl(5,2)$)‎. ‎this group is the second l...

A powerful way to detect selection in a population is by modeling local allele frequency changes in a particular region of the genome under scenarios of selection and neutrality and finding which model is most compatible with the data. A previous method based on a cross-population composite likelihood ratio (XP-CLR) uses an outgroup population to detect departures from neutrality that could be ...