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annular region     
相关语句
  环域
     By constructing a suitable Poincare Bendixson annular region, this paper proves the existence of limit cycles of the following nonlinear oscillatory differential equations: x¨+f(x)x·+g(x)=0 and x¨+(f(x)+g(x)x·)x·+h(x)=0 where f(x), g(x) and h(x) are continueous on (-∞, +∞).
     构造了Poincare-Bendixson环域,证明了非线性振动方程x¨+f(x)x·+g(x)=0及x¨+(f(x)+g(x)x·)x·+h(x)=0的极限环的存在性,其中f(x),g(x),h(x)在(-∞,+∞)上连续
短句来源
     GENERALIZATION OF THE POINCAR-BENDIXSON'S ANNULAR REGION THEOREM
     Poincaré-Bendixson环域定理的推广
短句来源
     3) We have given a method to contruct a Bendixon's annular region and obtain suficient conditions such that limit cycle exists,
     3)当s<0,ln<0时给出一种构造Bendixon环域的方法(即构造无切双曲线),在参数平面上得到大块的保证存在极限环的区域。
短句来源
     according to the transformation from the Descartes coordinate system to the bipolar coordinate system, the required solution region is changed from the eccentric annular region to the rectangle region so that the boundary condition is greatly simplified. Therefore, the basic equations of flow of a power-law fluid in annulus with the inner cylinder executing a planetary motion are established in the non-inertia motive bipolar coordinate system.
     由Descartes 直角坐标系向双极坐标系的变换,使流体动力学基本方程的求解域由偏心环域变为矩形域,使对边界条件的处理大大简化,从而在非惯性运动双极坐标系中建立了幂律流体在内管做行星运动的环空中流动的基本方程。
短句来源
     Due to the exchange between the Descartes right-angle coordinate system and the bipolar coordinate system, it makes that the region which is wanted to calculated becomes from eccentric annular region to rectangle region. Thereby, the stream function-axial velocity equation and the boundary equation of this complex flow are established in the non-inertia bipolar coordinate system.
     由Descartes 直角坐标系向双极坐标系的变换,使流体动力学基本方程的求解域由偏心环域变为矩形域,从而在非惯性双极坐标系中建立了这种复杂流动的流函数—轴向速度方程及边界条件方程。
短句来源
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  环形区
     Gas transfer from the annular region to the spout region and gas mixing in the annular region are promoted by increasing fluidizing gas flow rate.
     流化气流率的增大,气体由环形区向喷动区的传质大于由喷动区向环形区的传质,且流化气在环形区混合加强。
短句来源
     Gas transfer from the annular region to the spout region and gas mixing in the annular region are promoted by increasing fluidizing gas flow rate.
     流化气流率的增大,气体由环形区向喷动区的传质大于由喷动区向环形区的传质,且流化气在环形区的混合加强。
短句来源
     Heat transfer coefficients were increased with superficial gas velocity in the draft tube, and increase gas velocity in the annular region can properly improve the heat transfer status.
     传热系数随导流筒区气速的增加而增加,适当增加环形区气速能显著改善传热效果.
     Velocity measurement of the annular region in a turbo air classifier is performed by Laser Doppler Velocimeter (LDV).
     研究了二种转笼底盘结构A型(开口)、B型(封闭)对环形区流场特性的影响。
短句来源
     In the stable flow gas transfer from the spout region to the annular region is promoted by increasing spouting gas velocity.
     在稳定的流动状态下,喷动气速度的增大,使喷动气向环形区的传质加强,也促进了流化气在环形区的混合;
短句来源
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  环形区域
     RESULTS: In 2.4 to 3.2mm annular region around the optic nerve head, no remarkable difference of the average RNFL thickness between the normal group and myopic group was found;
     结果:视乳头周围2.4~3.2mm的环形区域视网膜神经纤维层平均厚度正常人与低、中、高度及超高度近视组比较无显著性差异,不同程度近视眼组两两之间进行比较无显著性差异;
短句来源
     However, the image of PAL is in an annular region, and it has great aberration, so effective algorithms of stretching the image should be designed according to different spaces to reduce the aberration.
     但是,由于该成像为一环形区域,且存在畸变,故需要针对不同的空间的像设计有效的算法对图像进行展开。
短句来源
     We decomposed the oscillations inside the annular region surrounding a spot (excluding the spot itself) into the incoming waves(propagate towards the spot)and the outgoing waves(away from the spot)under a cylindrical coordinate system.
     在柱坐标下将黑子周围的环形区域(黑子除外)内的振荡分解为朝向黑子传播的(入射的)波和离开黑子传播的(出射的)波。
短句来源
     We make the same decomposition for the oscillations in the annular region surrounding the spotless area.
     对无黑子的环形区域内的振荡也进行了同样的分解。
短句来源
  “annular region”译为未确定词的双语例句
     A Fhotoelastic Solution of Stress Intensity Factor K_1 for Radial Crack in Plane Annular Region
     平面环形域上径向裂纹应力强度因子K_I的光弹性求解
短句来源
     Since bed diameter and perforated distributor modes affect obviously the gas dispersion and the exchange between spout and annular region in spout-fluid beds, four functions, i.e.,cos(aθ),sin(bθ),tan(cβ) and f(D c/D cref ),were proposed to represent the effects of conical angle,θ, uniform gas distribution style, holes orientation angle,β, and bed diameter,D c, on u msf , respectively.
     对比分析了文献umsf数据 ,除喷口直径外 ,多孔分布板形式和床径明显影响umsf的大小 ,采用cos(aθ)、sin(bθ)、tan(cβ)和 f(Dc/Dcref)来分别修正分布板夹角θ、均匀布气结构、开孔方向角 β和床径Dc 的影响 .
短句来源
     The Existence and Uniqueness of Semilinear Elliptic Equation in the Annular Region
     半线性椭圆方程在环域中径向正解的存在唯一性
短句来源
     MODELLING OF LIQUID SLOSHING IN THE ANNULAR REGION FOR DAMPER APPLICATION
     环形调频液体阻尼器(TLD)的计算模型
短句来源
     The results show that the axial distributions of solids density in the internal annular region have two modes, namely the bottom dense phase and the upper turbulent flow diffusion phase.
     结果表明,内环床层密度分布可分为底部密相区和上部湍流扩散区;
短句来源
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  annular region
A highly porous material occupies the annular region between two coaxial infinitely long cylinders.
      
A similarity solution is used to analyse the flow of the Oldroyd fluid B, which includes the Newtonian and Maxwell fluids, in a curved channel modelled by the narrow annular region between two circular concentric cylinders of large radius.
      
The effect of the irreversible boundary reaction on the dispersion of a tracer in an annular region in presence of oscillatory flow is studied.
      
Four types of thermal convection with cellular structure are found, and the dependence of the critical Darcy-Rayleigh number on the thickness of the annular region is obtained for these flow types.
      
It is assumed that longitudinal wave propagation takes place in an annular region and reflections from the outer fixed boundary and the edge of the hole are considered.
      
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A concept of optical wave network is proposed in this paper.Each annular region with homogeneous refractive index in optical fiber is an 8-terminal network for optical field compo- nents,which can be represented by 4×4 transfer matrix.This paper,for the first time,gives a new function JN,which consists of the 1st kind Bessel function and the 2nd kind Bessel function and is not only important for analysing optical fiber with graded refractive index,annular step index or annular graded index,but...

A concept of optical wave network is proposed in this paper.Each annular region with homogeneous refractive index in optical fiber is an 8-terminal network for optical field compo- nents,which can be represented by 4×4 transfer matrix.This paper,for the first time,gives a new function JN,which consists of the 1st kind Bessel function and the 2nd kind Bessel function and is not only important for analysing optical fiber with graded refractive index,annular step index or annular graded index,but also very useful in designing new fibers,such as Bragg fiber.Finally,a general characteristic equation applicable to optical fibers of any kind of quantized refractive index distribu- tion is given.

本文提出了光波网络的概念,在光纤中,每一具有均匀折射率的环形域对于光的场分量就是一个八端网络,它可以用4阶转移矩阵来描述。本文首次给出了 JN 这个新的函数,这个JN 函数由第一类和第二类 Bessel 函数所组成,它不仅对于分析具有梯度折射率、环形阶跃折射率或环形梯度折射率的光纤是重要的,而且对于设计类似 Bragg 光纤这样的新型光纤也是非常有用的。最后,给出了一个普遍的特征方程,它适用于具有任何量化渐变折射率分布的光纤。

It is well known from electron optics that spherical aberration and defocus modify the diffraction plane wave function by a phase shift y and the coherent amplitude and phase-contrast transfer functions are cosy and siny. Consequently, the inverse Fourier transforms of cosy and siny are the real and imaginary parts of impulse response. The locations of the zeros and extrema of the amplitude- and phase-contrast transfer functions are presented. These zeros and extrema devide the diffraction plane into a series...

It is well known from electron optics that spherical aberration and defocus modify the diffraction plane wave function by a phase shift y and the coherent amplitude and phase-contrast transfer functions are cosy and siny. Consequently, the inverse Fourier transforms of cosy and siny are the real and imaginary parts of impulse response. The locations of the zeros and extrema of the amplitude- and phase-contrast transfer functions are presented. These zeros and extrema devide the diffraction plane into a series of annular regions. When the value of the dimensionless defocus is selected as △=N~(1/2) (N is a positive integer), the integrals of transfer function over corresponding annular regions are equal. Equivalently, their contributions to the central value of the impulse response are of the same value. The conditions for maximizing or minimizing the integrals of cosy on siny (i.e. maximizing or minimizing the central value or intensity of impulse response) has been suggested. In the present paper, the condition for the mean-square optimum approximation of impulse response with the ideal Airy distribution has also been discussed.

根据电子光学理论,球差和失焦引起附加相位移为γ,相干的振幅和相位衬度传递函数为cosγ和sinγ。它们的傅里叶逆变换给出脉冲响应函数的实部和虚部。本文讨论了cosγ和sinγ的零点和极值点,这些点将衍射平面划分为一系列环带。证明了当无量纲失焦量Δ=N~(1/2)(N为正整数)时各环带上cosγ,sinγ的积分相同,即对脉冲响应函数中心值的贡献相同。本文讨论了使cosγ或sinγ的积分取极大值或极小值,亦即使脉冲响应函数中心值或中心强度取极大值或极小值的条件。本文还讨论了脉冲响应函数最佳均方逼近理想的Airy分布的条件。

In this article we studied three questions on the given system and obtain fairly perfect result:1) It is proved that there isn't any limit cycles when 1n≥0: 2) It is proved that the singular point 0 is a stable focus when s<0, 1>0, n<0; 3) We have given a method to contruct a Bendixon's annular region and obtain suficient conditions such that limit cycle exists,

本文对所给系统研究了三个问题,得到颇为完善的结果:1)当ln≥0时证明无极限环;2)当s<0,ln<0时,作出函数确定奇点0的稳定性,并证明它为焦点(高阶的);3)当s<0,ln<0时给出一种构造Bendixon环域的方法(即构造无切双曲线),在参数平面上得到大块的保证存在极限环的区域。

 
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