The spectrum of the 4-generation Dirac–Kähler extension of the SM

We compute the mass spectrum of the fermionic sector of the Dirac–Kähler extension of the SM (DK-SM) by showing that there exists a Bogoliubov transformation that transforms the DK-SM into a flavor U(4)$U(4)$ extension of the SM (SM-4) with a particular choice of masses and mixing textures. Mass relations of the model allow determination of masses of the 4th generation. Tree level prediction for the mass of the 4th charged lepton is 370 GeV. The model selects the normal hierarchy for neutrino masses and reproduces naturally the near tri-bimaximal and quark mixing textures. The electron neutrino and the 4th neutrino masses are related via a see-saw-like mechanism.     

QCD Dirac spectrum and components of the gauge field

We analyze the relation between the Dirac spectrum and the gauge field in SU(3) lattice QCD. We focus on how a certain component of the gauge field is related to the Dirac spectrum. First, we consider momentum components of the gauge field. It turns out that the broad momentum region is relevant for the low-lying Dirac spectrum and topological charges. The connection with chiral random matrix theory is also discussed. Second, we consider an SU(2) subgroup component of the SU(3) gauge field. The SU(2) subgroup component behaves like the SU(2) gauge field in the low-lying Dirac spectrum.     

新疆天山北坡常见盐生植物端元尺度光谱特征及识别

通过野外定点光谱采样,从端元尺度对天山北坡四种常见的盐生植物芨芨草、苦豆子、樟味藜、骆驼刺进行了光谱特征分析和种类识别。结果表明:从CARI和SIPI两个常用的叶绿素高光谱指数来看,骆驼刺的叶绿素含量和类胡萝卜素含量均较高,苦豆子虽然生长旺盛,由于受到光谱中花的因素影响,这两个指数值较低。苦豆子株冠郁闭度较高,其NDVI值高于其他三种植物。苦豆子和樟味藜的光谱位置参数较稳定,而芨芨草和骆驼刺则既存在BEP红移,也存在REP蓝移,红边和蓝边变化幅度较大。生长旺季中不同植物端元光谱曲线之间差异较小,存在明显的混合光谱现象,利用遥感常用的红/近红外特征空间难以准确区分樟味藜和骆驼刺。采用逐步多元判别分析,筛选出Rn,REP,Rg,MSAVI和CARI作为判别指标构建判别方程,芨芨草和樟味藜可以100%被识别,四种植物的判别总精度达92%以上。     

Spectral target-detecting system using sine-wave modulation

Target detection is one of the key technology of precision chemical application.Previously the digital coding modulation technique was commonly used to emit and receive the optical signal in the target detection systems previously in China.It was difficult to adjust the output power,and the anti-interference ability was weak in these systems.In order to resolve these problems,the target detection method based on analog sine-wave modulation was studied.The spectral detecting system was set up in the aspects ...     

近红外漫反射线性加和光谱在烟叶复烤配方中的应用

应用近红外光谱分析技术进行烟叶复烤配方的辅助分析以及设计过程中,需要大量的不同混合比例的样品光谱,而混合样品光谱在实际生产过程中是很难获得的;且不同分级的样品很难实现均匀混合,不可避免的引入误差.文章提出了应用近红外漫反射光谱的线性加和原理产生"理论混合均匀光谱"来代替实际的混合样品光谱,不仅能够消除混合不均匀造成的误...     

On the M‐essential spectra of two‐group transport equations

In this paper, we deal with the M‐essential spectra of unbounded linear operators in Banach spaces where some generalizations of earlier work are given. Furthermore, we give an application from transport theory. Copyright © 2013 John Wiley & Sons, Ltd.     

Multicolor Ramsey Numbers For Complete Bipartite Versus Complete Graphs

Let be graphs. The multicolor Ramsey number is the minimum integer r such that in every edge‐coloring of by k colors, there is a monochromatic copy of in color i for some . In this paper, we investigate the multicolor Ramsey number , determining the asymptotic behavior up to a polylogarithmic factor for almost all ranges of t and m. Several different constructions are used for the lower bounds, including the random graph and explicit graphs built from finite fields. A technique of Alon and Rödl using the probabilistic method and spectral arguments is employed to supply tight lower bounds. A sample result is for any t and m, where c₁ and c₂ are absolute constants.     

Low-cost addition–subtraction sequences for the final exponentiation in pairings

In this paper, we address the problem of finding low cost addition–subtraction sequences for situations where a doubling step is significantly cheaper than a non-doubling one. One application of this setting appears in the computation of the final exponentiation step of the reduced Tate pairing defined on ordinary elliptic curves. In particular, we report efficient addition–subtraction sequences for the Kachisa–Schaefer–Scott family of pairing-friendly elliptic curves, whose parameters involve computing the multi-exponentiation of relatively large sequences of exponents with a size of up to 26 bits.     

拟绝对-*-κ-仿正规算子的谱性质

引入了拟绝对-*-k-仿正规算子,获得了拟绝对-*-k-仿正规算子的一个充要条件.并证明了拟绝对-*-k-仿正规算子在0≤k≤1上是有限上升的,作为此性质的应用,证明了若T是拟绝对-*-k-仿正规算子,其中0≤k≤1,则Weyl谱和本质近似点谱的谱映射定理成立.最后证明了若T是拟绝对-*-k-仿正规算子,其中0≤k≤1,则σ_(ja)(T)\{0}=σ_a(T)\{0}.     

Linear Least Squares Estimation of Regression Models for Two-Dimensional Random Fields

We consider the problem of estimating regression models of two-dimensional random fields. Asymptotic properties of the least squares estimator of the linear regression coefficients are studied for the case where the disturbance is a homogeneous random field with an absolutely continuous spectral distribution and a positive and piecewise continuous spectral density. We obtain necessary and sufficient conditions on the regression sequences such that a linear estimator of the regression coefficients is asymptotically unbiased and mean square consistent. For such regression sequences the asymptotic covariance matrix of the linear least squares estimator of the regression coefficients is derived.