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把实轴上具一阶奇性解的特征奇异积分方程及其相联方程的求解化为实轴上具一阶奇性解的Riemann边值问题讨论,对后者在提法、奇点的对待和典则函数的理解方面作了与传统有所不同的处理,对前者通过对解和可解条件的简化及等价性的讨论,得到解和可解条件的简化形式及推广的Noether定理。 相似文献
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A model for dependent default with hyperbolic attenuation effect and valuation of credit default swap 总被引:1,自引:0,他引:1
A hyperbolic function is introduced to reflect the attenuation effect of one firm's default to its partner.If two firms are competitors(copartners),the default inten- sity of one firm will decrease(increase)abruptly when the other firm defaults.As time goes on,the impact will decrease gradually until extinct.In this model,the joint distri- bution and marginal distributions of default times are derived by employing the change of measure,and the fair swap premium of a credit default swap(CDS)can be valued. 相似文献
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Linewidth of electromagnetically induced transparency under motional averaging in a coated vapor cell 下载免费PDF全文
The linewidth of electromagnetically induced transparency(EIT) in a coated Rb vapor cell was studied under a magnetic field gradient.The nonlinear broadening of the EIT linewidth with the magnetic field gradient was observed.It was found that the motional averaging of the field gradient was more pronounced at higher laser intensities and larger beam sizes.In the same regime,there was a small linewidth decrease with the increasing magnetic field gradient.We have established a Monte-Carlo model,which gave results in good qualitative agreement with our experiment.Physics pictures for the above phenomena were also suggested.These results provide an understanding of the EIT linewidth behavior under motional averaging,and should be useful for applications in quantum optics and metrology based on coated vapor cells. 相似文献
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Existing conditions of full bandgaps and absolute negative refraction in metallic-dielectric photonic crystal 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper has theoretically studied the characteristic frequencies
of band structures in two-dimensional metallic-dielectric photonic
crystals. It is demonstrated that a large filling fraction benefits
the existence of absolute photonic band gap, while a smaller filling
fraction benefits an absolute negative refraction band. In addition,
it also finds that the relation between the cut-off frequency of
E-polarized wave and the filling fraction exceeding 10{\%} is content
with a linear increasing function, whose coefficients are exponential
to the normalized lattice constant. These investigations have
significant implications for tuning the operational frequencies to
desired applications and manufacturing photonic crystals. 相似文献
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胡新华 《分析测试技术与仪器》2020,26(2):143-150
对微波消解火焰原子吸收法测定火龙果中铁含量的不确定度进行评估.建立相应的不确定度数学模型,根据测试过程分析不确定度来源有7个方面,计算各不确定度分量,得到火龙果中铁含量测定结果是X=(1.308±0.281)mg/100 g(k=2).测量过程不确定度的主要来源是样品溶液测量、样品空白及样品溶液定容等3个方面,其中,标准曲线制作和工作曲线拟合引起的不确定度最大.不确定度评定结果可为水果等营养元素检测方面提供参考,避免或减少一些不必要检测误差,使测试结果更加准确. 相似文献
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为了指出部分学生在用类比法推导分子平均自由程公式时出现的错误并给出正确的推导,采用弹性刚球模型讨论分子之间的相互碰撞过程。用类比法推导分子的平均自由程公式,要解决的关键问题是推导分子的平均相对速率服从麦克斯韦速率分布律。平均相对速率是平均相对速度的大小,因此先由麦克斯韦速度分布律导出处在平衡态的混合理想气体分子相对速度的分布函数,并得出相对速度瓫r也服从麦克斯韦速度分布律,再取特殊情况即得出同种分子碰撞的相对速度分布函数。然后根据麦克斯韦速度分布函数和速率分布函数的关系,导出平均相对速率服从麦克斯韦速率分布律。 相似文献
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体视学是由形态学与数学交叉形成的一门新兴学科,通过二维结构信息定量测量和分析三维形态结构特征。采用体视学点计数方法,对肿瘤细胞B16F10、B16/Vector及B16/GPR4各20组的共聚焦显微镜图像进行测量,定量分析了其三维形态参数的差异。对比三类细胞的体视学参数发现,对照组B16/Vector和原始细胞B16F10没有明显差异,实验组B16/GPR4的细胞比表面及相对形状因子参数与另两类细胞相比均表现出了显著性差异(p值分别小于0.05和0.02,即B16/GPR4细胞形态光滑,没有较多的突触和伪足),与前期Transwell小室细胞侵袭及迁移实验研究结果相吻合,体现出B16/GPR4细胞中G蛋白耦联受体4(GPR4)基因对细胞迁移性抑制的生物特性。研究结果表明,体视学和激光扫描共聚焦显微镜细胞图像的结合,可以实现细胞三维结构参数的快速测量,是细胞生物学尤其是细胞形态学分析的有效研究方法。 相似文献