Estimation of the Lipschitz constant of a function

A number of global optimisation algorithms rely on the value of the Lipschitz constant of the objective function. In this paper we present a stochastic method for estimating the Lipschitz constant. We show that the largest slope in a fixed size sample of slopes has an approximate Reverse Weibull distribution. Such a distribution is fitted to the largest slopes and the location parameter used as an estimator of the Lipschitz constant. Numerical results are presented.     

Electromagnetic form factors of nucleons in a relativistic square-root potential model of independent quarks

The nucleon electromagnetic form factorsG _E ^P (q²),G _M ^P (q²) and the axial-vector form factor G_A(q²) are studied in a relativistic model of independent quarks confined by an equally mixed scalar-vector square root potentialV _q(r)=1/2(1+γ ⁰)(ar ^1/2+ν ₀) taking into account the appropriate centre-of-mass corrections. The respective root-mean-square radii associated withG _E ^P (q²) and G _A (q²) come out as [〈r ²〉 _E ^P ]^1/2=0.86 fm and 〈r _A ² 〉^1/2=0.88 fm. Restoration of chiral symmetry in this model is discussed to derive the pion-nucleon form factorG _πNN(q²) and consequently the pion-nucleon coupling constant is obtained asg _πNN(q²)=12.81 as compared tog _πNN(q²)_exp⋍13.     

有机成分标准物质的研究

列出了国家标准物质研究中心最近研制的有机成分标准物质。高纯度、定值准确可靠、良好的溯源性和系列性是这些标准物质的特点。对其应用作了介绍,并指出了将来的研究方向。     

A Novel Fabrication Technique of Long Period Fiber Gratings

１ＩｎｔｒｏｄｕｃｔｉｏｎＳｉｎｃｅｔｈｅｄｉｓｃｏｖｅｒｙｏｆｐｈｏｔｏｓｅｎｓｉｔｉｖｉｔｙｉｎｇｅｒｍａｎｏｓｉｌｉｃａｔｅｏｐｔｉｃａｌｆｉｂｅｒｓｂｙＨｉｌｅｔａｌ．ｉｎ１９７８［１］，ｓｉｇｎｉｆｉｃａｎｔｐｒｏｇｒｅｓｈａｓｂｅｅｎｍａ...     

正入射全自动扫描反射率绝对值光谱仪的研制

采用Ｍ型棱镜分光束法研制了一台全自动扫描绝对反射率光谱仪，测量光谱范围为３５０ｎｍ～８２０ｎｍ（１．５～３．５ｅＶ），样品入射角为５°，测量和数据采集处理全过程由计算机控制．测量绝对值精度优于±１％，测量重复性优于０．１％．采用本谱仪对热蒸发金膜和（１１１）锗本征体单晶进行测量，获得了与椭偏测量以及文献报道相一致的结果．     

An Efficient Geometric Integrator for Thermostatted Anti-/Ferromagnetic Models

(Anti)-/ferromagnetic Heisenberg spin models arise from discretization of Landau–Lifshitz models in micromagnetic modelling. In many applications it is essential to study the behavior of the system at a fixed temperature. A formulation for thermostatted spin dynamics was given by Bulgac and Kusnetsov, which incorporates a complicated nonlinear dissipation/driving term while preserving spin length. It is essential to properly model this term in simulation, and simplified schemes give poor numerical performance, e.g., requiring an excessively small timestep for stable integration. In this paper we present an efficient, structure-preserving method for thermostatted spin dynamics.     

An Estimate of Smoothing and Composition with Applications to Conjugation Problems

An estimation of the difference between smoothing a composition of two functions and composing their smoothings is given. The smoothing operator considered here is defined by the convolution operator with a holomorphic kernel. It is also shown, by means of an example, how to apply the estimate given here to obtain finite differentiable versions of theorems on conjugation of maps in non-perturbative settings.      

工作机械相对振动的研究

本文对工作机械的相对振动进行了理论和实验研究。分析了相对振动的激励和合成原理,提出了工件和工具同相振动和异相振动、同相域以及相对振动放大因子等概念。在此基础上指出了减小相对振动的途径,以作为设计和改造工作机械的参考。     

新疆××金矿主要矿物的标型特征及其意义

摘要黄铁矿的反射率均低于标准黄铁矿。含金黄铁矿的晶胞参数a_0为5.4170A—5.4175A、热电系数为正值。在600—200(cm~(-1))波数内,红外光谱曲线的吸收谷较为开阔,且随含金量的增加有向长波方向产生系统位移的趋势。在其求I矿,氧、氢和碳的同位素丰度是:δO_(SiO_2)~(18)11.93—16.3‰、δO_(H_2)~(12)O-1.06—4.34‰、δD—84.4—-128.8‰、δC~(13)-12.92—-17.22‰。在石英的包裹体气相中,CH_4/CO_2值为0.009—0.056,在液相中,l_7矿脉富K~+,l_(17)矿脉的K~+、Na~+相等,其它均为富Na~+型。离子组合及矿化度与岩体一致,矿化度属淡水型。文中还提出了说明矿床成因的地质年龄、化探成果、稳定同位素和流体包裹体成分的依据,补充了找矿评价的硫化物存在、黄铁矿的热电系数和红外谱标志。