分数函数

Considering that the modular function of fractional Fourier transform of LEM signal is symmetrical, unilateral and strictly monotone, this method employs global-first-local-second search algorithm to obtain the main ridge slice of LEM signals.

该方法利用LFM信号的分数傅立叶变换模函数具有对称性，且单边单调的性质，采用先全局后局部方式搜索LFM信号主脊切面。

In chapter four,we investigate the compactness of comm-utators of CZO and fractional integral operator with VMO functions.

本文第四章研究Calderon-Zygmund算子和分数次积分算子与VMO函数的交换子的紧性问题。

In this paper,we study the boundedness of multilinear commutators of singular integral operators and fractional integral operators with smooth functions.

本文主要研究奇异积分算子和分数次积分算子与光滑函数生成的多线性交换子的有界性问题。

In chapter 1,we simply introduce the development in the study of the boundedness of multilinear commutators of singular integral operators and fractional integral operators.

第2章讨论奇异积分算子和分数次积分算子与Besov函数生成的交换子在L~d上的映射性质。

In addition,we also discuss the boundedness results for a class of multilinear commutators generated by fractional integral operators and BMOfunctions on MK_~.

在MK_~上的有界性，同时还讨论了一类由分数次积分算子与BMO函数所生成的多线性交换子在MK_~上的有界性结果。

The existence and uniqueness of solution for FROE is proven,and its analytical solution is given.

证明了分数阶Relaxation-Oscillation方程解的存在惟一性，并利用格林函数给出了它的解析解。

The kernel requarment for the rotating invariant property of a TFD based on fractional Fourier transform is proposed and proved in chapter 5. A close formula of Radon-Wigner transform of LFM signalis given. Based on the formula, the distribution of RWT is discussed.

第五章在首先简单介绍分数阶付立叶变换的基础上，提出并证明时—频分布具有旋转不变性对核函数的要求，给出了Radon-Wigner变换在直角坐标系下分布的一个显式公式，据此讨论了RWT分布特点。

In §1. 2, we gave the definition of the Riemann-Liouville operators of the fractional calculus and the basic properties of these operators. In§1. 3, we introduced the definition of the generalized Mittag- Leffler function E〓 and proved the inverse Laplace transform formula below,〓(1) which was used frequently in this paper.

在§1.2节中，主要介绍了Riemann-Liouville型分数阶微积分算子的基本定义以及主要性质，在§1.3节中则给出了广义Mittag-Leffler函数〓的定义及其基本性质，同时证明了如下Laplace逆变换公式：〓在本文中，公式（1）将被多次引用。

In this method,the image is transformed two times with anamorphic fractional Fourier transform and modulated two times by random phase function in the original image plane and the fractional domain separately.

对要加密的图像分别进行两次变形分数傅里叶变换和两次随机相位函数调制，使加密图像的密钥由原来两重增加到六重。

Versatile Math Functions - Includes primality test, summation and product functions, solves polynomial equations, gets derivatives, converts decimals to fractions, GCF/LCM, base conversion, evaluates expressions

这个应用程序包括了primality 测试，合计和积函数，解答多项式方程，获得派生词，将小数转换为分数，GCF/LCM，基本转换率，评估表达式。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。