Time derivative obtained by applying the Riemannian manifold of Riemannian metrics to kinematics of continuaDérivée temporelle obtenue en utilisant la variété riemannienne des métriques riemanniennes aux cinématiques des milieux continus

The infinite dimensional Riemannian geometry of Riemannian metrics is employed to propose novel objective time derivative by means of covariant derivative. To cite this article: Z. Fiala, C. R. Mecanique 332 (2004).     

有资助的消费和最终资产的效用最大化

本文主要讨论带有随机资助过程的消费和终端财富效用最大化问题 .当对偶域为 (L∞) 时 ,利用对偶方法 ,求得问题的最优解对().     

NaBH_3CN－ZnCl_2体系对含氧二茂铁衍生物的选择性还原

ＮａＢＨ＿３ＣＮ－ＺｎＣｌ＿２体系对含氧二茂铁衍生物的选择性还原林欣欣（中国科学院广州化学研究所广州５１０６５０）ＷＥＬｉｎｄｓｅｌｌ（ＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｓｔｒｙ，Ｈｅｒｉｏｔ－ＷａｔｔＵｎｉｖｅｒｓｉｔｙ，ＵｎｉｔｅｄＫｉｎｇｄｏｍ...     

Fedosov supermanifolds

We study the properties of the symplectic curvature tensor on supermanifolds. Using the method of normal coordinates, we establish higher-order relations between affine extensions of the curvature tensor and of the symplectic structure tensor. We find a generating function for higher-order relations. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 2, pp. 202–227, November, 2006.     

三阶导数光度法测定合金中微量钪

本文研究了混合表面活性剂存在下钪与铬天青S体系的导数光谱行为,亚以其三阶导数消除吸收背景的影响,以加人法测定了某些合金中的微量钪取得满意结果。     

导数分光光度法直接测定环境水中的十二烷基苯磺酸钠

用四阶导数分光光度法,无需经显色与萃取便可直接测定环境水中十二烷基苯磺酸钠的含量。本法抗干扰能力较强,检出限为0.7mg/l(即2×10~(-6)M),回收率为96～103%。     

Study on the synthesis and crystal structure of tetrahyhrated tetraaquotris(4-mono-chloroacetylantipyrine)samarium (III) perchlorate

Based in the phase equilibrium study of the system Sm(C1O₄)₃-4-monochloroacetytantipyrine (C₁₃H₁₃ClN₂O₂)-H₂O at 30°C, we have synthesized the title complex [Sm(C₁₃H₁₃Cl-N₂O₂)₃(H₂O)₄](ClO₄)₃-4H₂O. The single crystal structure analysis on RASA-IIS Rigaku diffractometer shows that the coordination number of the metal ion is nine and the geometry of the complex is tricapped trigonal prism. Two of the three molecules of organic ligand act as bidentate chelated through both carbonyl oxygens to the metal ion, but the other one as a monodentate coordinated only through the ring carbonyl oxygen, the side chain carbonyl is far away from the central ion. The crystal is monoclinic, space group P2₁, α = 18.013(4), b = 14.709(3), c = 10.536(3) Å, β=94.69(2)°, V=2782(1) ų, Z=2.     

Optical absorption spectra of tripositive erbium ion in certain nitrate complexes

Optical absorption of Er³⁺ ion in Er(NO₃)₃·5H₂O, NH₄NO₃, Mg(NO₃)₂·6H₂O, KNO₃ and NaNO₃ complexes has been studied. The second derivative spectra of these Er³⁺ complexes exhibited splittings in the⁴ I _9/2,⁴ F _9/2,⁴ F _7/2,⁴ F _5/2 and² H _9/2 levels. These splittings have been tentatively explained as due to a cubic crystalline field. The partial derivatives for Er³⁺ ion have been calculated in terms of Racah (E ^k ) parameters. The results of a least squares fit of the energy levels and oscillator strengths of the bands are reported in terms of interaction parameters and Judd-Ofelt parameters. Radiative transition probabilities for various fluorescence levels are theoretically estimated. The lifetime of the⁴ G _11/2 level is found to be lowest in all nitrate complexes.