指数幂与指数函数

在高中数学教材中,没有给出指数函数的严格定义,对其运算性质和单调性质足也没有严格证明.在大学中,这部分内容又一带而过,很少有参考资料.本文从初中学习过的正整数指数幂和整数指数幂出发,通过有理数指数幂的定义、性质和单调性,最后说明实数指数幂定义的合理性,给出实数指数幂性质的证明和实数指数幂函数连续性和单词性的证明,供老师参考.希望老师们能够从中了解哪些内容是需要定义的?哪些内容是需要证明的?重视定义的重要性.另外,数学是严谨的,但是对不同人的数学严格性要求的也是不同的,希望优秀的数学教师能够了解并思考指数函数单调性、连续性的证明思路和证明过程.     

悬臂方薄板振动的辐射声场及竖裂纹对其频谱的影响

在将悬臂板挠度表示为正交多项式之和的基础上，利用瑞利-里兹方法求解了悬臂板的前几阶振动模态频率及挠度．进而利用瑞利积分求解了其自由振动辐射声场的分布规律。用分区技术的瑞利-里兹方法求解了竖裂纹对悬臂板低阶模态频率的影响，并将计算结果与有限元结果作了对照。实验上用小球撞击法测定了含竖裂纹悬臂板辐射声场的频谱，谱成分与有限元结果基本符合。     

石墨炉原子吸收光谱法测定人血清中微量锰

采用石墨炉原子吸收光谱法测定人血清中微量锰 ,回收率为 10 5 .0 % ,检出限为 7.7× 10 -10 g/ m L,相对标准偏差为 6 .5 16 %。本方法简单、快速和准确 ,已用于血中微量锰的测定 ,结果令人满意。     

三乙胺催化丙炔醇的聚合

本文应用三乙胺催化聚合丙炔醇。研究了该聚合反应的特征及动力学行为。制得带有光泽的褐色粘性固体产物,聚丙炔醇显示半导体及顺磁特性。     

高中数学建模中教师问题初探

教育部2003年颁布的《普通高中数学课程标准（实验）》口是我国中学数学应用与建模发展的一个里程碑，它把数学建模纳入了内容标准中，这标志着数学建模正式进入我国高中数学．但是我们应该看到，随着高中数学课程改革的不断深入，在更多的中学数学教师参与到数学建模活动的探索之中，     

An Alternating-Current Voltage Modulated Thermal Probe Technique for Local Seebeck Coefficient Characterization

Nanostructured and nanocomposite thermoelec- tric materials have recently attracted a great deal of attention due to the optimization of thermal and electrical transports for high thermoelectric performance The initial ideas for the applica- tions of nano-structures in thermoelectric materials are that the lattice thermal conductivity can be de- pressed by the scattering of nano-particles or nano- boundaries as well as the enhanced electron density of states at the Fermi level. The latter is expected to enhance Seebeck coefficients due to the fact that the low energy carriers can be filtered by nano-sized grain boundaries. Lowered thermal conductivity and enhanced thermoelectric figure of merit have been ob- served in lots of bulk materials with nanostructures or nano-impurities. However, the thermal and electrical transports in these nano-materials are usually mea- sured by normal commercial systems, in which only the statistical values of the transports are obtained. The characterization of local thermoelectric parame- ters still remains a challenging task at the submicro, even nanometer level as a powerful tool for Scanning probe microscopy nanostructure imaging and local properties characterization, has become a promis- ing technique for measuring local thermal and electri- cal properties, like scanning tunneling microscopy, scanning thermal microscopy, and scanning Joule expansion microscopy. Recent work has demon- strated simultaneously determined the thermal con- ductivity and Seebeek coefficient of Bi2Se3 thin film by a microprobe technique.     

端到端的藏语语音合成方法

近年来，得益于计算机运算能力的提高和语音数据的不断积累，涌现出许多基于机器学习的语音处理新技术，其中基于深度神经网络算法，端到端的Tacotron2语音合成系统框架得到业界广泛的青睐。它是一个开源程序，简单易行，已成功地应用于多种语言和不同音色的语音合成。该文研究Tacotron2在藏语中的应用，取得了良好的实验结果。首先，通过自然语音采集、自动标注、声学分析等构建了一个中等规模(5500句)藏语卫藏方言的语音语料库，其中包括藏文音素转写、特殊符号处理和Mel谱等各项数据；其次，利用开源程序Tacotron2和上述语音库进行了藏语语音合成试验；最后，通过对合成语音和自然语音的偏差分析，和对合成语音的自然度的主观评价，表明了基于端到端的藏语语音合成方法有效地减少合成语音的频谱蜕变，提升了合成语音的自然度。因此，基于“端到端”的Tacotron2合成框架在藏语语音合成中具有重要的应用价值，值得进一步研究和推广应用。     

CD-1超声手术刀在陕通过鉴定

由陕西师范大学应用声学研究所和西安医科大学第一附属医院合作研制的CD-1型超声手术刀1990年12月1日在西安由陕西省教育委员会主持通过了技术鉴定。CD-1型超声手术刀是一种接触式的超声刀。它是利用超声机械振动产生强大的瞬时加速度切割生物组织的新型医疗器械、切割时刀头上的温度并不很高。该器械由超声发生器和超声振动系统两部分组成。超声发生器体积小,重量轻,频率可调范围宽,工作稳定、超声振动系统由两级变辐杆组成,放大倍数大,所以刀头上的振幅大。变辐杆由抗疲劳耐腐蚀的高强度合金材料构成。重量轻,工作稳定。其样机的     

Automatic measurement device of laser-induced damage threshold and its experiment北大核心

A set of 1 064 nm and 532 nm automatic measurement device of laser-induced damage threshold (LIDT) of dual-wavelength optical elements was designed and constructed for automatic detection of LIDT of optical elements film. The device was mainly composed of pulsed laser light source, beam parameter diagnosis component, damage online diagnosis component, scanning motion platform for parts to be tested and control system. The whole measuring device and measurement process were automatically controlled by the computer integrated measuring software based on Labview, which could realize the automatic measurement of damage threshold in the range of energy density from 0.1 J/cm2～100 J/cm2, and the device was also used to measure the 1 064 nm antireflection film and aluminum reflection film samples. The results show that the damage thresholds are 27.09 J/cm2 and 3.21 J/cm2, with a relative uncertainty of 3.91% and 5.61%, respectively. © 2023 Editorial office of Journal of Applied Optics. All rights reserved.