查询词典 rational fractional function

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

A method of the optical image encryption based on the frequency splitting domain and Fresnel domain is proposed, after the analysis of the fractional Fourier transform and Fresnel transform, by synthesizing the advantages of multi keys and lensless feature of the fractional Fourier transform and Fresnel transform in the optical image encryption system.

结合分数傅里叶变换及菲涅耳变换，在光学图像加密系统中分别具有多密钥性和无透镜性的优点，提出了基于分频域和菲涅耳域的光学图像加密方法。

Molecular laser follows in ArF (193 Nm) and laser of solid of Nd ∶ YAG (213 Nm) differs two kinds the laser of wavelengh denudes in the system, factor of elemental fractional distillation all compares groovy mode to fall to be close to more at 1, make clear use medium to hold back discharge to be opposite gas collosol beforehand effect of fractional distillation of the element after ionization is able to restrain effectively.

在ArF准分子激光(193 nm)和Nd∶YAG固体激光(213 nm)两种不同波长的激光剥蚀系统中，元素分馏因子均比常规模式下更接近于1，表明采用介质阻挡放电对气溶胶预电离后元素分馏效应得以有效抑制。

Lastly, the paper presents the fractional differenced noise model and the autoregressive fractional integrated moving average model.

接着给出能描述长记忆性的分数差分噪声模型和分整自回归移动平均模型。

Then the paper presents the fractional differenced noise model and the autoregressive fractional integrated moving average model. It compared traditional time series models with ARFIMA model.

接着介绍了能描述长记忆性的分数差分噪声模型和分整自回归移动平均模型，并将传统时间序列模型和ARFIMA模型进行比较。

For the first time, the author put forward the tree image segmentation system based on features of fractional dimension and color after analyzing fractional theory applied in forestry and image processing application.

本文通过对国内外农药使用、植保机械和计算机视觉技术的发展现状的分析研究，提出将分形理论、计算机视觉技术和神经网络应用于树形的自动识别，以实现精确施药。

In recent years, fractional integrals and fractional derivatives have drawn much attention due to its wide application in many science and engineering fields.

近年来，分数阶微积分在科学工程领域的广泛应用引起了人们很大的兴趣。

The result proves that the bioflocculant has a good flocculating activity to suspension of kaoline, fractional flocculation rate is 90%; fractional flocculation rate will be improved on condition of existence of seemly cations.

实验结果证明，培养的复合菌所产的絮凝剂对高岭土悬浮液有相当高的絮凝性能，絮凝率可高达90%；若有适合的金属阳离子助凝，则絮凝率会进一步提高。

The fractional structure of the objective function maximizing RAROC makes it difficult to be solved. We noticed that in real financial practice, the expected return function and risk function of the portfolio are often homogeneous with the amount of investment.

根据RAROC的分式结构，以及回报函数和风险函数通常是关于投资额的齐次函数，将分式优化问题转化为对其分母的最优化。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法，进而研究如何针对参数曲面使用有限元方法，并把该方法引入到有理Bézier极小曲面造型的设计中，从而将连续的Dirichlet能量函数极小化问题，转化为一个离散形式的目标函数的极小化问题。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！