Abstract:
We calculate the complete next-to-leading order QCD corrections to the three-body decay of gluino into top-pair associated with a lightest neutralino in the minimal supersymmetric standard model. We obtain that the LO and NLO QCD corrected decay widths of $\tilde{g} \to t \bar{t} \tilde{\chi}_1^0$ at the ${\rm SPS 6}$ benchmark point are $0.1490 GeV$ and 0.1069 GeV respectively, and the relative correction is -28.2%. We investigate the dependence of the QCD correction to $\tilde{g} \to t \bar{t} \tilde{\chi}_1^0$ on $\tan\beta$ and the masses of gluino, scalar top quarks and the lightest neutralino around the ${\rm SPS6}$ benchmark point, separately. We find that the NLO QCD corrections suppress the LO decay width, and the absolute relative correction can exceed 30% in some parameter space. Therefore, the QCD corrections to the three-body decay $\tilde{g} \to t\bar{t}\tilde{\chi}^0_1$ should be taken into account for the precise experimental measurement at future colliders. Moreover, we study the distributions of the top-pair invariant mass ($M_{t\bar t}$) and the missing energy ($E^{miss}$), and find that the line shapes of the LO distributions of $M_{t\bar t}$ and $E^{miss}$ are not obviously distorted by the NLO QCD corrections.

Abstract:
Japanese Kampo medicine has made huge progress in the 300-year development, especially in Kampo education, research and development of Kampo medicinal drugs, and industrialization and internationalization of Kampo medicine in recent 30 years. Based on the study of Japanese Kampo medicine, this article discussed some characteristics of Kampo medicine. For example, the emphasis of Kampo medicine research is the effectiveness and scientificalness; classical prescriptions are the main application in Kampo medicine while it also values correspondence between prescription and syndrome as well as abdomen examination; Kampo medicine emphasized the continuity of education after graduation; international development is accelerating in the research of Kampo medicinal drugs. Such a development strategy of Kampo medicine may benefit the development of integrative medicine in China.

Abstract:
The World Health Organization plans to incorporate "traditional medicine" into the next revision of its International Classification of Diseases — Version 11 (ICD-11). If traditional medicine is included in ICD-11, it is definitely an epoch-making issue. The expected result is the International Classification of Traditional Medicine, China, Japan and Korea Version (ICTM-CJK). The intention of the ICTM project is not only beneficial for traditional medical components, but also might be beneficial for Western biomedicine. For this shared purpose, China, Japan and Korea must understand the meaning of this project and collaborate to develop it.

Abstract:
We study the boundary exact controllability for the quasilinear wave equation in the higher-dimensional case. Our main tool is the geometric analysis. We derive the existence of long time solutions near an equilibrium, prove the locally exact controllability around the equilibrium under some checkable geometrical conditions. We then establish the globally exact controllability in such a way that the state of the quasilinear wave equation moves from an equilibrium in one location to an equilibrium in another location under some geometrical condition. The Dirichlet action and the Neumann action are studied, respectively. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and equilibria of the quasilinear wave equation. A criterion of exact controllability is given, which based on the sectional curvature of the Riemann metric. Some examples are presented to verify the global exact controllability.

Abstract:
This study is a geometric version of Ball's work, Philos. Trans. Roy. Soc. London Ser. A 306 (1982), no. 1496, 557-611. Radial deformations in Riemannian manifolds are singular solutions to some nonlinear equations given by constitutive functions and radial curvatures. A geodesic spherical cavity forms at the center of a geodesic ball in tension by means of given surface tractions or displacements. The existence of such solutions depends on the growth properties of the constitutive functions and the radial curvatures. Some close relationships are shown among radial curvature, the constitutive functions, and the behavior of bifurcation of a singular solution from a trivial solution. In the incompressible case the bifurcation depends on the local properties of the radial curvature near the geodesic ball center but the bifurcation in compressible case is determined by the global properties of the radial curvatures. A cavity forms at the center of a membrane shell of isotropic material placed in tension by means of given boundary tractions or displacements when the Riemannian manifold under question is a surface of $\R^3$ with the induced metric. In addition, cavitation at the center of ellipsoids of $\R^n$ is also described if the Riemannian manifold under question is $(\R^n g)$ where $g(x)$ are symmetric, positive matrices for $x\in\R^n.$

Abstract:
We discuss infinitesimal isometries of the middle surfaces and present some characteristic conditions for a function to be the normal component of an infinitesimal isometry. Our results show that those characteristic conditions depend on the Gaussian curvature of the middle surfaces: Normal components of infinitesimal isometries satisfy an elliptic problem, or a parabolic one, or a hyperbolic one according to the middle surface being elliptic, or parabolic, or hyperbolic, respectively. In those cases, a problem of determining an infinitesimal isometry is changed into that of 1-dimension. Then we apply those results to the energy functionals of bending of shells which has been obtained as two-dimensional problems by the limit theory of Gamma-convergence from the three-dimensional nonlinear elasticity. Therefore the limit theory of Gamma-convergence reduces to be a one-dimensional problem in the those cases.

Abstract:
Feature selection is used to find an optimal subset to reduce computational cost, increase classification accuracy and improve result comprehensibility. In this paper, we introduced a feature selection technique based on information granularity and large margin. Firstly, we operated the information granularity on raw data, and then based on information granularity we proposed fuzzy margin and class margin as the feature evaluation functions. The effectiveness of the proposed method was validated by experiments on different data sets. Experimental results show that the proposed technique has better performance than the other margin based feature selection methods.

Abstract:
We present the theoretical predictions including the complete next-to-leading order (NLO) QCD corrections to the top-quark pair production in association with a photon at the LHC with center-of-mass system energy of $7 {\rm TeV}$. The uncertainties of the leading order (LO) and NLO QCD corrected cross sections due to the renormalization/factorization scale, and the distributions of the transverse momenta of final top-quark and photon are studied. Moreover, we provide the numerical results of the LO, NLO QCD corrected cross sections and the corresponding $K$-factors with different photon transverse momentum cuts. We also discuss the impact of QCD corrections to the \ppttga in case of there existing the exotic top-quark with an electric charge of $-4e/3$ at the $7 {\rm TeV}$ LHC.

Abstract:
We investigate the effect induced by the Kaluza-Klein (KK) graviton in the $W^+W^-\gamma/Z$ production in the framework of the large extra dimensions (LED) model at both the CERN Large Hadron Collider (LHC) and the International Linear Collider (ILC). The integrated cross sections and various kinematic distributions in the LED model are presented and compared with those in the standard model. The results show that the contributions from KK-graviton exchange remarkably affect the observables of the triple gauge boson ($W^+W^-\gamma/Z$) production processes at both the ILC and the LHC, particularly either in the high transverse momentum region or in the central rapidity region. We also find that the relative LED discrepancy for the $W^+W^-\gamma/Z$ production at the LHC is generally larger than that at the ILC due to the additional LED contribution via $gg$ fusion subprocess and the KK-graviton exchanging resonant effect induced by the continuous large colliding energy in $pp$ collision. We conclude that the $W^{+}W^{-}\gamma$ and $W^{+}W^{-}Z$ productions at the LHC could have the distinct advantage over at the ILC from the aspect of effectively exploring the LED signal in measuring $W^+W^-\gamma/Z$ production.