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101.
102.
习题课教学过程中充分发挥学生的发散思维,有助于对物理概念的理解和创新能力的培养,本通过对一道典型力学题的分析,阐述了如何将发散思维应用在习题课教学中。 相似文献
103.
The classical Garman-Kohlhagen model for the currency exchange assumes that the domestic and foreign currency risk-free interest
rates are constant and the exchange rate follows a log-normal diffusion process.
In this paper we consider the general case, when exchange rate evolves according to arbitrary one-dimensional diffusion process
with local volatility that is the function of time and the current exchange rate and where the domestic and foreign currency
risk-free interest rates may be arbitrary continuous functions of time. First non-trivial problem we encounter in time-dependent
case is the continuity in time argument of the value function of the American put option and the regularity properties of
the optimal exercise boundary. We establish these properties based on systematic use of the monotonicity in volatility for
the value functions of the American as well as European options with convex payoffs together with the Dynamic Programming
Principle and we obtain certain type of comparison result for the value functions and corresponding exercise boundaries for
the American puts with different strikes, maturities and volatilities.
Starting from the latter fact that the optimal exercise boundary curve is left continuous with right-hand limits we give a
mathematically rigorous and transparent derivation of the significant early exercise premium representation for the value
function of the American foreign exchange put option as the sum of the European put option value function and the early exercise
premium.
The proof essentially relies on the particular property of the stochastic integral with respect to arbitrary continuous semimartingale
over the predictable subsets of its zeros. We derive from the latter the nonlinear integral equation for the optimal exercise
boundary which can be studied by numerical methods. 相似文献
104.
In this paper, we devote ourselves to the research of numerical methods
for American option pricing problems under the Black-Scholes model. The optimal
exercise boundary which satisfies a nonlinear Volterra integral equation is resolved by
a high-order collocation method based on graded meshes. For the other spatial domain
boundary, an artificial boundary condition is applied to the pricing problem for the
effective truncation of the semi-infinite domain. Then, the front-fixing and stretching
transformations are employed to change the truncated problem in an irregular domain
into a one-dimensional parabolic problem in [−1,1]. The Chebyshev spectral method
coupled with fourth-order Runge-Kutta method is proposed for the resulting parabolic
problem related to the options. The stability of the semi-discrete numerical method is
established for the parabolic problem transformed from the original model. Numerical
experiments are conducted to verify the performance of the proposed methods and
compare them with some existing methods. 相似文献
105.
This paper investigates American option pricing under the constant elasticity of variance (CEV) model. Taking the Laplace-Carson transform (LCT) to the corresponding free-boundary problem enables the determination of the optimal early exercise boundary to be separated from the valuation procedure. Specifically, a functional equation for the LCT of the early exercise boundary is obtained. By applying Gaussian quadrature formulas, an efficient method is developed to compute the early exercise boundary, American option price and Greeks under the CEV model. 相似文献
106.
Shota OTSUKA Tomoyuki MORISAWA Yu HOJO Atsuhisa ISHIDA Akira TAMAKI 《Physical Therapy Research》2021,24(2):120
Objective: This study aimed to clarify the effect of home-based exercise therapy on physical activity in peripheral arterial disease (PAD) patients after EVT. Methods: Study design was controlled clinical design. The subjects were 30 patients (76.6% men) who underwent EVT in the Sakakibara Heart Institute of Okayama. Patients with EVT meeting the inclusion criteria were divided into two groups, intervention group (Home-based exercise) and control group. Patients'' basic characteristics, the number of steps walked and QOL questionnaire (WIQ, SEPA, Vascu QOL) were assessed before surgery and, at the 3 month after discharge. A two-way analysis of variance (ANOVA) was performed to compare number of steps walked and QOL questionnaire. Results: Interaction effect were observed in the number of steps walked (F (1,28) =13.89, p<0.01). A multiple comparison test confirmed a significant increase between results of before surgery and at three months after surgery in the intervention group (p<0.01). An interaction between the presence and absence of intervention was found for the WIQ pain score (F(1,28) = 5.86, p=0.01), speed score (F(1,28) = 3.80, p=0.04) and SEPA (F(1,28) = 4.99, p=0.03). In a multiple comparison study, there was a significant increase in WIQ pain and speed scores in both groups before and 3 months after discharge from the hospital. Conclusion: Home-based exercise therapy using physical activity indices has the potential to improve number of steps and quality of life in patients with PAD after EVT. 相似文献
107.
为了贯彻落实《国家职业教育改革实施方案》,教育部颁布的《中等职业学校公共基础课程方案》进一步确立了中等职业学校化学基础课的地位和作用。系统研究了新时代中等职业教育面临的形势与任务、化学基础课改革历程以及化学课程标准凸显出的中职化学课程改革的新理念,并分析了新课标对中职化学教师的新要求。 相似文献
108.
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110.
以青蒿素、水杨酸、阿司匹林等药物分子结构修饰的发展史为素材设计了3组习题,分析了习题对促进学生"宏观辨识与微观探析""创新意识""模型认知""科学态度与社会责任"等化学核心素养发展的价值,论述了与素养达成目标相对应的关键能力的具体表现。 相似文献