一类T形树匹配唯一的充要条件

证明：若m∈Ze^ ,则T形树T(1,m,n）匹配唯一当且仅当n≠m,m 3,2m 5.     

一个关于勒让德多项式的积分公式及其简单应用——圆形带电环和电流环的静态电磁势

给出了一个关于勒让德多项式的积分公式及其证明,用该公式和叠加法方便快捷地导出了圆形带电环和电流环的静态电磁势.     

多项式环的单位和稳定度的注记

称环R为广义2-素环,如果R的幂零元集与上诣零根一致.证明了R上的多项式为单位当且仅当它的常数项是R中的单位而其它系数是幂零的.因此,广义2-素环上的多项式环的稳定度大于一.     

Yb3+,Er3+掺杂的SrAl2O4:Eu2+,Dy3+长余辉材料的发光特性

根据Dorenbos能级模型的推论,利用掺杂Yb3+和Er3+对典型的长余辉材料SrAl2O4:Eu2+,Dy3+(简称SAO:ED)的发光特性(发光强度和余辉时间)进行调制.在发光特性分析中,发展并使用了一种简便易行的解析模型,而不是常用的多项e指数衰减函数的经验模型.研究发现,正如Dorenbos所预言的,Yb+3...     

Heavy quarkonia spectra and their decays in a relativistic quark model

Using the phenomenological relativistic harmonic model (RHM) for quarks, we have obtained the masses of S wave charmonium and bottomonium states. The full Hamiltonian used in the investigation has Lorentz scalar plus vector confinement potential, along with the confined one gluon exchange potential (COGEP). A good agreement with the experimental masses for the ground and the radially excited states is obtained both for the triplet and singlet S wave mesons. The decay properties of the ground state charmonium and bottomonium are investigated.     

Investigation of the near-threshold cluster resonance in ~(14)C

An experiment for p(~(14)C,~(14)C~*→~(10)Be+α)p inelastic excitation and decay was performed in inverse kinematics at a beam energy of 25.3 Me V/u.A series of~(14)C excited states,including a new one at 18.3(1)Me V,were observed which decay to various states of the final nucleus of~(10)Be.A specially designed telescope system,installed around zero degrees,played an essential role in detecting the resonant states near theα-separation threshold.A state at 14.1(1)Me V is clearly identified,being consistent with the predicted band-head of the molecular rotational band characterized by theπ-bond linear chain configuration.Further clarification of the properties of this exotic state is suggested by using appropriate reaction tools.     

Weak decays of heavy baryons in the light-front approach

In this work, we analyse semi-leptonic and non-leptonic weak decays of the heavy baryons: Λ_b,Ξ_b,?_b and Λ_c,Ξ_c,?_c. For non-leptonic decay modes, we study only the factorizable channels induced by the external Wemission. The two spectator quarks in the baryonic transitions are treated as a diquark and form factors are calculated in the light-front approach. Using the results for form factors, we also calculate some corresponding semi-leptonic and non-leptonic decay widths. We find that our results are comparable with the available experimental data and other theoretical predictions. Decay branching fractions for many channels are found to reach the level 10~(-3)~10~(-2),which is promising for discovery in future measurements at BESIII, LHCb and Belle II. The SU(3) symmetry in semi-leptonic decays is examined and sources of symmetry breaking are discussed.     

Beta decay of 101Sn

The β decay of the very neutron-deficient isotope ¹⁰¹Sn was studied at the GSI on-line mass separator using silicon detectors for recording charged particles and germanium detectors for γ-ray spectroscopy. Based on the β-delayed proton data the production cross-section of ¹⁰¹Sn in the ⁵⁰Cr + ⁵⁸Ni fusion-evaporation reaction was determined to be about 60nb. The half-life of ¹⁰¹Sn was measured to be 1.9(3)s. For the first time β-delayed γ-rays of ¹⁰¹Sn were tentatively identified, yielding weak evidence for a cascade of 352 and 1065keV transitions in ¹⁰¹In. The results for the ¹⁰¹Sn decay as well as those from previous work on the ¹⁰³Sn decay are discussed by comparing them to predictions obtained from shell model calculations employing a new interaction in the ⁸⁸Sr to ¹³²Sn model space.     

SIMCA法判别分析木材生物腐朽的研究

木材是一种生物质材料,容易受到各种微生物的危害,生物腐朽可以迅速导致木材结构的破坏,因此,对木材生物腐朽的快速、准确地检测或鉴定具有重要意义。近几年来,近红外光谱和SIMCA方法正被用于识别或检测食品、药品和农产品等研究中,因此,本研究尝试利用近红外光谱结合SIMCA方法来检测木材的生物腐朽。研究结果表明,应用近红外光谱和SIMCA方法能有效地判别木材的生物腐朽类型,通过培训集样本建立的基于PCA分析的SIMCA判别模型对未腐朽、白腐和褐腐三种类型样本进行回判,判别准确率分别为100%, 82.5%和100%;而对未知腐朽类型的样本(包括未腐朽、白腐和褐腐样本),判别准确率分别为100%, 85%和100%;SIMCA方法对未腐朽和褐腐类型的判别准确率均达到100%,但对白腐样本都有错判,造成这种错判的主要原因可能是由于样本包括的信息不够丰富以及腐朽初期白腐和褐腐试样的性质差异太小等。     

A sufficient condition for asymptotically well behaved property of convex polynomials

In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature.