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Illustrate the reflection principle for a random walk with one absorbing barrier and show the Boyle-Lau algorithm for pricing single barrier options.

1973年，Black-Scholes开创性论文"期权定价与公司债务"的发表标志著期权定价理论的诞生。

Theory and test show that the application of a viscous fluid dynamometer as a power absorbing device is feasible.

理论和试验证明负荷车采用液黏测功机作为功率吸收装置是可行的。

However, the distribution of elements' absorbing power fails to show the continuity of energy flow in electric networks.

电路理论中的功率是基于电场力对电荷做功的元件吸收功率，它在电网中的分布不能展现能量流动的连续性。

The results show that the solar absorptance ratio increases with the increase of irradiation fluence of proton as well as the proton energy.

结果表明，ZnO/silicone白漆的光学性能退化主要发生在可见光区，太阳吸收比随质子辐照能量、注量的增加而增大。

Testing and investigation of Sound Absorption Coefficient and Sound Attenuation show sound-absorbing wool materials have excellent sound absorption properties.

通过对羊毛吸声材料的吸声系数与声衰减能力的测试，发现其吸声性能优良。

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

The results show that the optimum mole percent of Al3+ to Yb3+ is 9—11 for high concentration of ytterbium-doped silica-based fiber at which low concentration quenching probability, high absorption coefficient and proper numerical aperture can be obtained.

揭示出在高掺Yb3+的石英基光纤中，共掺Al3+的摩尔浓度为Yb3+摩尔浓度的9—11倍时既可以减小Yb3+的浓度猝灭概率，又可以获得高吸收系数，同时还可更好地满足数值孔径的要求的结论。

The results show that the infrared absorptivity of the sensor is vibrated and then converged with the increasing absorber thickness.

本文提出了一种可以同时检测外延层的厚度及掺杂浓度分布的方法，这种方法具有简单、高效、低成本的优点。

Now sunshine of my state of mind, abstain from no longer show them.

现在我的心态阳光了，就不再忌讳展现它们了。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。