高等数学课程分层次教学理念的思考和举措

高等数学课程是高校所有专业的基础课程之一,对实现高校的人才培养目标起着十分重要的作用.本文遵循因材施教的原则,科学设计了分层次教学模式,对于开展分层次教学的意义和理论依据作了阐述,提出了分层次教学模式的组织与实施,并就教学内容、教学方法、考核模式的改革给出相应的实施方案.     

Molecular structure of two dicyclopentadienylmolybdenum derivatives containing a four-membered ring [Mo(η5-C5H5)2(2-NHNC5H4)][PF6] and [Mo(η5C5H5)2(2-ONC5H4)][PF6]

The structure of the new compound [Mo(η⁵-C₅H₅)₂(2-NHNC₅H₄)][PF₆] (1) has been determined. The crystals are orthorhombic, space group Pca2₁ with a 20.807(1), b 8.0030(8), c 10.056(3) Å, V 1674.5 ų, Z = 4. The structure of [Mo(η⁵-C₅H₅)₂(2-ONC₅H₄)][PF₆] (2) has also been determined. The crystals are orthorhombic, space group Pnma with a 12.727(3), b 10.174(2), c 12.918(1) Å, V 1672.8 ų, Z = 4. The structures were solved by Patterson and difference electron density syntheses and refined by least-squares to R of 0.028 for 1287 reflections for 1 and 0.059 for 1178 reflections for 2.Although not isostructural the two cationic complexes have equivalent geometries with the normal bent bismetallocene structure. For 1 the MoN bond lengths are 2.160(8) and 2.142(9) Å, with a NMoN bond angle of 59.8(3)°, whereas for 2 MoO is 2.142(10), MoN is 2.138(11) Å, the NMoO angle is 61.2(4)°. These parameters are discussed and compared with the corresponding data for similar biscyclopentadienyl complexes of molybdenum(IV). Extended Hückel molecular orbital calculations have been carried out to throw light on the nature of the bonding between the metal and the bidentate ligand.     

不同处理工艺对珍珠的紫外可见漫反射光谱的共性影响研究

主要基于紫外可见（UV-Vis）漫反射光谱首次对比研究了经过热处理、有机或无机染料改色或钴-60产生的γ射线辐照三种不同处理工艺对同为珍珠质的淡水与海水珍珠及贝壳珍珠层的漫反射光谱的影响机制。结果表明：（1）在不同颜色、淡海水属性的珍珠与贝壳珍珠层的UV-Vis反射光谱的紫外区皆存在约280 nm 处的吸收峰,上述吸收峰位归属于珍珠层中自身存在的有机质所致,而非珍珠的致色色素。（2）以上三种不同的处理工艺对上述280 nm处的吸收峰位存在一致的影响行为,即随着不同的处理工艺强度的增大,处理样品对应的反射谱图中约280 nm处吸收峰的强度逐渐降低直至消失。与此同时,珍珠的反射谱图中紫外区的反射主波长的反射强度也随之减弱,且反射主波长的峰位向可见光区发生显著红移。研究工作可为珍珠及珍珠的优化处理的鉴定筛选及其珍珠颜色的形成属性判定提供检测依据与理论支撑。     

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??We study the linear quadratic optimal stochastic control problem which is jointly driven by Brownian motion and L'{e}vy processes. We prove that the new affine stochastic differential adjoint equation exists an inverse process by applying the profound section theorem. Applying for the Bellman's principle of quasilinearization and a monotone iterative convergence method, we prove the existence and uniqueness of the solution of the backward Riccati differential equation. Finally, we prove that the optimal feedback control exists, and the value function is composed of the initial value of the solution of the related backward Riccati differential equation and the related adjoint equation.