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The structural,electronic and optical properties of KNbO 3 (KN),NaNbO3(NN)and K05 Na0.5NbO3(KNN) in paraelectric cubic phase were calculated employing the plane-wave pseudopotential method based on density functional theory (DFT).The calculated electronic structures of the three crystals show similar features in the valence bands and the lower conduction bands.However,the structures in higher conduction bands differ markedly due to the effect of Na and K atoms.The calculated optical properties reveal that the features of optical spectrum at low energy are dominated by the transitions from O2p valence bands to Nb 4d conduction bands and those at high energy are related to the transitions to K 4s4p and/or Na 3s3p states.Moreover,the optical constants of KNN are approximately the average of KN and NN at high energy.Therefore,the optical properties of KNN in high energy region can probably be altered by changing the ratio of Na/K. 相似文献
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This paper concerns optimal investment problem with proportional transaction costs and finite time horizon based on exponential
utility function. Using a partial differential equation approach, we reveal that the problem is equivalent to a parabolic
double obstacle problem involving two free boundaries that correspond to the optimal buying and selling policies. Numerical
examples are obtained by the binomial method. 相似文献
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研究了奥运会男子现代五项前三名成绩的灰色预测模型.将奥运会第16届至第29届男子现代五项前三名成绩数据进行分析处理,采用包络线法和新陈代谢法建立GM(1,1)灰色预测模型,预测了第30届男子现代五项前置名成绩.并对预测结果进行了分析.结果表明:该模型精度较高、预测误差小,预测结果可为我国体育决策部门、教练和运动员提供参... 相似文献
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詹棠森 《数学的实践与认识》2012,42(22):156-159
通过倒差商-连分式算法,提出了一种保端点非线性有理参数化拟合算法,通过选取中间点的参数化,利用连分式插值法,得到的拟合函数具有保端点性,规律性和灵活性.实例表明,算法减少了连分式插值迭代次数,避免插值连分式的不存在性,所得到拟合值具有更好的精度,大大提高了计算效率,拟合的误差更具有平稳性,逼近效果更好,并具有较好的预测等方面的应用. 相似文献
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Qiuli Yu Houmei He Yuangen Zhan Xiaochun Hong 《Journal of Nonlinear Modeling and Analysis》2024,6(1):218-227
By using the methods of Picard-Fuchs equation and Riccati equation, we study the upper bound of the number of zeros for Abelian integrals in a kind of quadratic reversible centers of genus one under polynomial perturbations of degree $n$. We obtain that the upper bound is $7[(n-3)/2]+5$ when $nge 5$, $8$ when $n=4$, $5$ when $n=3$, $4$ when $n=2$, and $0$ when $n=1$ or $n=0$, which linearly depends on $n$. 相似文献
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利用值分布理论,研究了一类Fermat型复微分-差分方程与复微分-差分方程组,得到有限级超越整函数解的存在条件与具体形式,推广改进了高凌云、刘凯、曾翠萍等人的结果. 相似文献
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《Annals of Physics》1961,15(2):250-265
If a nonlinear dynamic system is in a state of steady multiply-periodic excitation with a number of incommensurable fundamental frequencies, there exist the same number of relations governing the transfer of energy in this system. General forms for these relations may be established by modifications of the theorem of the Poincaré invariant. These theorems enable one to associate a conservation relation with a closed (cyclic) family of dynamical systems; such a family may be formed by varying any one of the phase parameters which one may associate with the fundamental frequencies.The relations are first set up in a form appropriate to systems with a finite number of degrees of freedom. When applied to a purely reactive electrical network, these relations reduce to those derived by Manley and Rowe.The relations are next established in a form appropriate to the study of nonlinear fields. The general relations are specialized for the following examples: nonlinear electromagnetic media; one-dimensional electron beam with electrostatic field; and unrestricted electron flow with electromagnetic field. These examples reproduce and extend relations established by Haus and Grau. 相似文献
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本文研究了半平面内无穷级Dirichlet级数的正规增长性问题.利用型函数的方法,获得了关于无穷X级的正规增长性的几个等价定理,推广了已有的结果. 相似文献
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利用类石墨氮化碳(g-C_3N_4)和亚稳相钙钛氧化物(CaTi_2O_5)固相法制备C_3N_4/CaTi_2O_5复合材料。利用X射线衍射(XRD)、金相显微镜、扫描电子显微镜(SEM)及附带能谱分析仪(EDS)和N2吸附-脱附对样品的显微结构和比表面积进行检测分析,并用紫外-可见吸收光度计(UV-Vis)测试了样品的光吸收性能,研究C_3N_4与CaTi_2O_5物质的量之比(nC_3N_4/nCaTi_2O_5)对C_3N_4/CaTi_2O_5复合样品的物相结构和微观形貌的影响,同时考察C_3N_4/CaTi_2O_5复合样品在可见光照射下光催化降解罗丹明染料效果。实验结果表明:相比纯C_3N_4和CaTi_2O_5样品,C_3N_4/CaTi_2O_5复合样品在可见光下具有较高的光催化性能,随着nC_3N_4/nCaTi_2O_5增加,样品的光催化降解率随之增加而后降低,当nC_3N_4/nCaTi_2O_5=1∶1时,样品的光催化降解率达到最大值99.5%,并且循环重复利用5次后,样品的光催化剂降解率仍几乎保持不变。复合样品光催化性能提高主要归因于复合能级结构有效地抑制了电子和空穴复合所致。 相似文献