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two arbitrary points
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  任意两点
     The measurement uncertainty of the MAFM is U95=5nm+2×10-4l (l——the measured length between two arbitrary points in the measurement range in μm);
     目前,该计量型原子力显微镜在其测量范围内,任意两点间距离的测量不确定度为U95=5nm+2×10-4l;
短句来源
     Algorithms for the Shortest Path Between Two Arbitrary Points on a Polyhedral Surface
     多面体面上任意两点间最短路径算法
短句来源
     Three algorithms are presented for computing the shortest path between two arbitrary points on a polyhedral surface: One is an approximate algorithm;
     提出计算多面体面上任意两点之间最短路径的算法:近似算法、最短路径或近似最短路径算法.
短句来源
     A new inequality of quadratic form of the three variables referring to two arbitrary points of the interior of a triangle is established,then application of this result is discussed,and finally three conjectures to be solved are put forward.
     建立了一个新的涉及三角形内部任意两点的三元二次型不等式,讨论了这一结果的应用,提出了三个尚待解决的猜想不等式.
短句来源
     Survey of Algorithm of Approximate Optimal Path Between Two Arbitrary Points in Weighted Regions
     带权区域上任意两点间的近似最优路径算法调研
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  “two arbitrary points”译为未确定词的双语例句
     Meanwhile, the number of the interference fringes can be multiplied by the principle of phase multiplication, or the phase different between two arbitrary points in the field can be directly calculated, so that the measuring precision can be greatly improved.
     此外,由于能够在不改变光路的前提下以较高的重复频率完成光学全息图的记录,电子学全息干涉术可以用于记录三维物场的变化并接近实时地再现和测量三维物场的变化规律,因此是一种极有发展前途的新型实时全息干涉计量技术。
短句来源
     By using the basic inequality of the triangle and its theorem, the unified proof of two inequality for two arbitrary points inside the triangle is given, two new inequalities are obtained, and two open problems are posed.
     应用三角形的基本不等式及Stewart定理,首先给出两个已知不等式的统一证明,其次建立两个新的几何不等式,最后提出两个相关的猜想。
短句来源
  相似匹配句对
     Two.
     二.
短句来源
     Two Spectrally Arbitrary Patterns
     两个谱任意模式(英文)
短句来源
     Two.
     二、末日意识
短句来源
     Two Theorems on the Commutativity of Arbitrary Rings
     任意环的两个交换性定理
短句来源
     Research and Implementation of Intersection Points of Two Arbitrary Curves
     任意曲线交点的研究与实现
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  two arbitrary points
We study a generalized geometry of the triangle, based on the idea of letting two arbitrary points play the role that the centroid and the orthocenter play classically.
      
The problem of Arnold's diffusion consists in finding conditions on h which guarantee the existence of orbits Q of with connecting two arbitrary points of frequency space.
      
The shortest Manhattan path for two arbitrary points in and is outside the module, and thus it is a concave module.
      
The shortest Manhattan path for two arbitrary points in the separate submodules must be outside the module.
      
Compute another transformation which maps two arbitrary points of the conic to the line at infinity.
      
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The relation of the moment of momentum between two arbitrary points is demonstrated in this article,from which theorem of momen of momentum about absolute motion of the system of parlicles to the center of moment of motion is inferred as well in the same article.In addition,the theorem of moment of momentum about relative motion of the system of particles to the center of moment of motion is proveb at the same time.Meanwhile,it is pointed out that the methob using the theorem of moment of momentum about...

The relation of the moment of momentum between two arbitrary points is demonstrated in this article,from which theorem of momen of momentum about absolute motion of the system of parlicles to the center of moment of motion is inferred as well in the same article.In addition,the theorem of moment of momentum about relative motion of the system of particles to the center of moment of motion is proveb at the same time.Meanwhile,it is pointed out that the methob using the theorem of moment of momentum about absolute motion of the system of particles to the center of moment of motion to solve some questions concerned is also suitable for common problems.

本文首先论证了质点系动量对任意两点之矩间的关系,然后由该种关系推得质点系绝对运动对动矩心的动量矩定理,附带推证了质点系相对运动对动矩心的动量矩定理。同时指出利用质点系绝对运动对动矩心的动量矩定理处理有关方面问题的方法更具有普遍性。

A non-iteration algorithm for solving multidimensional non-linear travel-time inversion is proposed. Because the ray paths depend on the velocity of the medium, it is a nonlinear problem to invert the velocity in a region from the travel-time data measured on its boundary. We illustrate the algorithm in terms of seismic longitudinal wave travel-time inversion. In the algorithm it is assumed that the angular coverage of the ray is complete, the image region has limited boundary, the velocity outside the image...

A non-iteration algorithm for solving multidimensional non-linear travel-time inversion is proposed. Because the ray paths depend on the velocity of the medium, it is a nonlinear problem to invert the velocity in a region from the travel-time data measured on its boundary. We illustrate the algorithm in terms of seismic longitudinal wave travel-time inversion. In the algorithm it is assumed that the angular coverage of the ray is complete, the image region has limited boundary, the velocity outside the image region is known. The travel-time between two arbitrary points on the boundary is given. It is also assumed that the velocity in the image region can be expressed as a linear combination of local base functions. In the first step, the velocities in the pixels adjacent to the boundary are inverted. Based on the fact that there must be a ray travelling through the only one pixel adjacent to the boundary, the data of this ray can be used to invert the velocity of the pixel which lead to solve an nonlinear equation with one unknown. In this way, the velocity of all the pixel closed to the boundary can be worked out. After that, we trace all of other rays from two terminals of the ray to the new boundary of unknown region and give two new terminals and travel-time of ray travelling through reduced unknown region. The ray directions at every two terminals in the first step can be determined by differentiating the travel-time of the neighbour ray from the Benndorf relation. Then the ray tracing is a initial value problem and can be calculated easily. The ray direction at two new terminals and traveling-time can be given in the ray tracing. Then the problem left is all the same as last step, but the unknown region is reduced and the algorithm used in the first step is repeated. In this way, the velocity of image region is inverted from outer layer to inner layer by layer stripping until the velocity of all the region is worked out.From the algorithm above, it can be seen that the inversion procedure can be finished in limited steps, no convergence problem exists. All the rays need to be traced only once. In every step, only equations of one unknown need to be solved, thus large linear algebraic equations are avoided. The computer time and space can be saved. When there are low velocity region in the image region or there is not complete angular coverage as in the cross-well seismic tomography, the algorithm will meet difficulties as all the algorithm for ray-travel-time tomography. Our algorithm, however, can shed a new light on the situation. The number of unknowns, in this case, can still be reduced in spite not to single ones by the algorithm.

对多维走时反演提出一种可实现的递推算法,并对研究动机和应用背景及主要技术路线进行简要阐述.本文的递推算法是非迭代型的.根据成象区边界相对于积分沉形的凸的性质,或等价地根据非线性走时方程组中的三角结构,可以由外及里地逐层反演成象区内的慢度.本文的方法具有节省计算时间、占内存少和直观的特点.

狝 metrological atomic force microscope (MAFM) firstly has been developed in the world. As this MAFM is self-calibrated and quantized with a 3-D miniature-size laser interferometer system (laser beam is transmitted by an optical fibre from the laser to the interferometer) in the middle-sized measuring range of the nanometer measurement, the results of the MAFM will be directly traced to meter definition. Same results are also faced on scanning tunnel microscope (STM) in the field of nanometer technique and measurement....

狝 metrological atomic force microscope (MAFM) firstly has been developed in the world. As this MAFM is self-calibrated and quantized with a 3-D miniature-size laser interferometer system (laser beam is transmitted by an optical fibre from the laser to the interferometer) in the middle-sized measuring range of the nanometer measurement, the results of the MAFM will be directly traced to meter definition. Same results are also faced on scanning tunnel microscope (STM) in the field of nanometer technique and measurement. The quantized MAFM and MSTM will contribute exact explain and analysis to nanometer surface physics. The theoretic analysis for using the AFM as a metrological instrument, the eliminating and complementary methods of the instrument errors, and the experiments and the results are published in the paper. The measurement uncertainty of the MAFM is U95=5nm+2×10-4l (l——the measured length between two arbitrary points in the measurement range in μm); The measurement uncertainty along z axis is U95=(1.1~1.2nm)+2×10-4h(h——the measured height in μm).

本文报导国际上研制的第一台在纳米测量中,在中等测量范围内,具有微型光纤传导激光干涉三维测量系统、可自校准和进行绝对测量的计量型原子力显微镜。它的诞生,可使目前用于纳米技术研究的扫描隧道显微镜定量化,并将其所测量的纳米量值直接与米定义相衔接。使人们更加准确地了解纳米范围内的各种物理现象,并对它们进行更精确的分析。文章对计量型原子力显微镜进行了理论分析,提出了对各种测量误差的抑制及其补偿方法,并进行了大量的实验,得到良好的结果。目前,该计量型原子力显微镜在其测量范围内,任意两点间距离的测量不确定度为U95=5nm+2×10-4l;在z-轴上的测量不确定度为U95=(1.1~1.2nm)+2×10-4h。

 
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