函数

Since the highly accurate RF field was significant to the image reconstruction of parallel data acquisition and surface coil array design, Biot-Savart Law was applied to calculate the magnetic field of surface coil. Then the sensitivity of the RF receiver coil was presented by Biot-Savart Law and Ansoft HFSS respectively.

论文用Biot-Savart定律计算了表面线圈的场；并分别用Biot-Savart定律和高频电磁场仿真软件Ansoft HFSS给出了表面线圈灵敏度函数的分布，讨论了高频效应对线圈灵敏度函数的影响。

This involves the general mathematic definitions of Walsh functions of five traditional orders, the evolving generations of them based on the copying and the bisection evolution technology respectively.

主要包括传统的五种序的Walsh函数的统一的数学定义以及这些序的Walsh函数分别基于复制技术和二分演化技术的演化生成。

If there exist a family of copulas, we could construct any bivariate or multivariate distribution functions of given margins by Sklars theorem and these distributions are always very useful for simulation.

如果我们有一族copula，那么根据Sklar定理，可以构造出任何指定边缘分布的二元或多元联合分布函数，而这些分布函数在建模与模拟方面是非常有用的。

Conventionally, a negative dependence structure is not allowed in bivariate poisson models, and it restricts the univariate marginal distributions has to be the same family as the bivariate joint distribution, On the contrary, copulas allow negative dependence structure and marginal distributions and bivariate distributions of different families .

相较之下Copula允许有负相关，且Copula是一个能将双变量的联合分配函数与各自的边际分配连接在一起的函数。

To improve the performance of image-denoising methods, a locally adaptive denoising algorithm was presented. The new algorithm assumed the statistical dependence among wavelet coefficients. First, a bivariate probability distribution model was introduced to model the statistics of wavelet coefficients, and corresponding nonlinear threshold function was derived from the model using the Bayesian estimation theory.

由于图像小波系数存在很大的层间相关性，引入双变量概率分布模型，基于贝叶斯估计理论，得到了相应的非线性阈值函数；基于层内局域方差估计，利用该收缩函数得到一种局域自适应的图像去噪算法。

Consider the dependencies between the coefficients and their parents, a non-Gaussian bivariate distribution is given, and corresponding nonlinear threshold function is derived from the model using Bayesian estimation theory. According to non-subsampled Contourlet transform and bivariate threshold function, a novel Non-Subsampled Contourlet Transform based on Bivariate threshold function for image denoising is proposed. This scheme achieves enhanced estimation results for images that are corrupted with additive Gaussian noise over a wide range of noise variance.

该文依据非下采样Contourlet分解系数与其父系数之间的相关性，给出非高斯双变量分布，对该模型应用Bayes估值理论推导得到相应的非线性双变量阈值函数，综合非下采样Contourlet分解和双变量阈值函数，提出一种基于双变量阈值的非下采样Contourlet变换图像去噪方法。

Week 15 Experiment law of hydrogen atomic spectrum, Bohr hydrogen atom theory, wave -particle dualism of matter, de Broglie waves, uncertainty relation, wave function and its statistical explanation, standard condition of wave function, Schrodingger equation in one dimension, simple introduction of quantum mechanics.

第15周氢原子光谱的实验规律，氢原子的玻尔理论；波粒二像性，德布罗意波，不确定关系；波函数及其统计解释，波函数的标准条件，一维薛定谔方程，量子力学简介。

To explain the time-resolved fluorescence depletion, we develop a dynamics theory of spectroscopy for a vibrational relaxation process, and a decay rate constant of the vibrational state on the excited electronic state is taken to be 〓〓 in which γ is vibrational relaxation rate constant of the transition 0→1 and k〓 is the Boltzmann constant.

电子激发态上的波函数可写作〓相比于以前密度矩阵理论的布居表象，本文所提出的波函数表象理论为在更本质的层次上揭示振动弛豫过程的物理图象，特别是研究超短脉冲激发下含有振动弛豫的动力学光谱创造了条件。

Although, there has a progress in employing the lattice Boltzmann equation for fluid dynamics and modeling complex physics in fluids recently, there are some problems to be solved, such as the negativity of discrete local equilibrium or evolutionary distribution and the limitation of low Mach number.

尽管近年来在应用格子Boltzmann 方程对流体模拟和建模方面取得了重要进展，格子Boltzmann 方法仍有很多问题需要解决，例如离散的平衡态分布函数及分布函数的非负性问题、低Mach 数的限制问题。

After that the construction of resilient Boolean functions becomes an important direction of the research of Boolean function.

此后，弹性函数的构造一直是布尔函数研究中的一个重要工作。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。