重视直观性教学法在高等数学教学中的应用

在多年的教学实践及理论研究基础上提出了在高等数学教学中应大力提倡和广泛应用的方法——直观性教学法 ,即在教学过程中运用各种手段在概念、定理、证明、解题中突出其直观性 ,培养学生的数学直觉 ,提高其数学文化素质 .直观性教学法可以培养学生学习兴趣 ,提高记忆品质 ,提高学习效率 .本文先从数学的本质及人类思想的规律两方面理论上论证了直观性教学法的可行性 ,又从高等数学的教材及教学两方面实际论证了直观性教学法的必要性 .最后以三个教学案例具体说明了直观性教学法的实施方法     

纳米荧光探针用于核酸分子的检测及成像研究

核酸,包括脱氧核糖核酸和核糖核酸,在生物的生长、发育、突变、炎症、癌症等正常或异常的生命活动中发挥着重要的作用,它们的异常表达与多种疾病的发生、发展也密切相关.因此,发展准确、有效的方法实现核酸分子的检测,对深入探究核酸的功能调控以及相关疾病的早期检测与治疗都具有重要的意义.荧光检测法与荧光成像技术具有灵敏度高、时空分辨率高等优点,为实时、准确的检测核酸分子提供了有力的工具.本文着重综述了近年来发展的纳米荧光探针用于疾病相关核酸分子的检测与细胞和活体成像工作的研究进展,最后提出了进一步构建新型纳米荧光探针用于核酸检测面临的挑战、未来发展方向与展望.     

Angle-sensitive and fast photovoltage of silver nanocluster embeded ZnO thin films induced by 1.064-μm pulsed laser

Silver nanocluster embedded ZnO composite thin film was observed to have an angle-sensitive and fast photovoltaic effect in the angle range from –90o to 90o, its peak value and the polarity varied regularly with the angle of incidence of the 1.064-μ m pulsed Nd:YAG laser radiation onto the ZnO surface. Meanwhile, for each photovoltaic signal, its rising time reached ～2 ns with an open-circuit photovoltage of ～2 ns full width at half-maximum. This angle-sensitive fast photovoltaic effect is expected to put this composite film a candidate for angle-sensitive and fast photodetector.     

H2(Tn)上Toeplitz算子的特征方程组及其乘积

给出了H^2(T^n)(n≥2)上Toeplitz算子的特征方程组：T^*xiTTxi=T，并在此基础上证明了两个Topelitz算子相乘Ф，φ∈L^∞(T^n)，TФTφ仍为Toeplitz算子的充要条件：Ф对z1，z2，…，zn中某些变量共轭解析，φ对余下变量解析，且乘积为TФφ.     

Infrared laser-induced fast photovoltaic effect observed in orthorhombic tin oxide film

The SnO_2/SnO with an orthorhombic structure is a material known to be stable at high pressures and temperatures and expected to have new optical and electrical properties. The authors report a new finding of the infrared laser induced a fast photovoltaic effect arising from orthorhombic tin oxide film with an indirect band gap(~2.4 e V) which is deposited by pulsed laser deposition. The rising time of the photovoltaic signal is about 3 ns with a peak value of 4.48 mV under the pulsed laser beam with energy density 0.015 m J/mm~2. The relation between the photovoltages and laser positions along the line between two electrodes of the film is also exhibited. A possible mechanism is put forward to explain this phenomenon.All data and analyses demonstrate that the orthorhombic tin oxide with an indirect band gap could be used as a candidate for an infrared photodetector which can be operated at high pressures and temperatures.