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polygon     
相关语句
  多边形
     THE POLYGON SOFTWARE SYSTEM FORTHEMATIC MAPPING
     专题地图多边形软件系统
短句来源
     The Cosine Formula of Polygon and Its Application in the Establishment of the DisPlacement Equation of the Linkage
     多边形余弦公式及其在建立连杆机构连架杆的位移方程中的应用
短句来源
     A New Method for Calculating the Fundamental Potential Functions Induced by a Source/Dipole Polygon
     计算由源或偶极子多边形诱导的势函数的新方法
短句来源
     The Method of Raster Filling Used in the Establishment of Polygon File
     用栅格填充法建立多边形文件
短句来源
     A PLANE PARAMETRIC CUBIC CURVE THAT CONTACTS THE SECOND EDGE OF THE CHARACTERISTIC POLYGON
     与特征多边形第二边相切的平面参数三次曲线
短句来源
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  多角形
     When aminopterin (MTX) concentration is 5 × 10-7mol/L,a part of cell morphology change slim, but they are still in polygon.
     在MTX加压达5×10~(-7)mol/L时,少数细胞略变瘦长,但仍显多角形,形态正常。
短句来源
     The morphology of wild-type t-PA engineering cell line 4B3 is similar to CHO-dhfr cell in polygon.
     野生型t-PA工程细胞4B3形态与亲代细胞CHO-dhfr-相似呈多角形,类似上皮细胞。
短句来源
     The shape of MMSCs plated on Matrigel with FGF4 and HGF changed from long fusiform shape to polygon or similar round shape on 21-28d.
     在添加FGF4和HGF的Matrigel上诱导培养的MMSCs在21~28d时,细胞形态由长梭形变为三角形、多角形或类圆形。
短句来源
     H~ρ-Regularity for Elliptic Mixed Boundary Value Problem in a Polygon
     多角形域上椭圆混合边值问题的H~ρ正则性
短句来源
     The morphology of t-PA mutant engineered cell line FSGGI48 is similar to that of CHO-dhfr cell in polygon.
     t-PA突变体工程细胞株FSGGI48形态与其亲代细胞CHO-dhfr相似呈多角形,类似上皮细胞。 在MTX加压至5×10~(-6)mol/L时,少数细胞形态略变瘦长,但仍呈多角形,因此该工程细胞株形态正常。
短句来源
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  平面多边形
     Recognition of polygon based on homograph principle
     基于类似形原理识别平面多边形
短句来源
     The polygon morphing was investigated,and a morphing method was proposed,in which the polygon is deformed by interpolating the rotation angles and rotation matrices of their corresponding edge vectors.
     研究平面多边形的变形问题,提出了一种通过插值边向量间旋转角度及旋转矩阵的变形方法,较好地克服了顶点线性插值法引起的多边形边长变化不均匀的萎缩现象.
短句来源
     A Triangulation Algorithm for General Plane Polygon
     一种适用任意平面多边形的三角剖分算法
短句来源
     The triangle intersected by the plane polygon should be triangulated again, and the triangles after triangulation should be attributed to the corresponding TIN, thus realizing the partition of the TIN based on the plane polygon.
     与多边形相交的三角形重新进行三角剖分,剖分后的三角形归入相应的TIN中,从而实现了基于平面多边形的不规则三角网的分割.
短句来源
     It is necessary to judge the three relations of position: separation, intersection and inclusion between the plane polygon and the Triangulated Irregular Network(TIN), and then to confirm the triangles of separation and inclusion should be attributed to the original TIN and the new TIN respectively.
     判断平面多边形与不规则三角网(TIN)中的三角形的相离、相交和包含3种位置关系,确定与多边形相离、包含的三角形应分别归入原TIN和新形成的TIN中;
短句来源
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  多面棱体
     Intelligent Measuring System for Polygon
     多面棱体智能测量系统
短句来源
     Based on comparing the results of measuring polygon with threeposition comparing method and permutation inter-comparing method and analysing the dividing error of index table with serrated teeth by using the harmonic analysis, we find out in general condition that the results of this two methods are very close.
     应用数据统计分析方法对在多齿分度台上用三位置比较法及排列互比法检定多面棱体工作角偏差进行了比较。 运用谐波分析法分析了多齿分度台的分度误差,找到了在一般情况下用三位置比较法检定多面棱体接近排列互比法的检定结果的理论依据。
短句来源
     This paper describes the estimation of measurement uncertainty of group standard when one uses the line scale,group block set,polygon,groove specimen,semi\|spherical gauge and involute pattern to verify/calibrate the geomatric optical instrument.
     以标准线纹尺、小量块组、多面棱体、刻线样板、标准半圆球、渐开线样板检定 /校准几何量光学仪器时 ,标准器组的测量不确定度评定
短句来源
     Research of Measuring Polygon with Three-Position Comparing Method on Index Table with Serrated Teeth
     在多齿分度台上用三位置比较法检定多面棱体的研究
短句来源
     Small Angle Realization with Polygon and Multi-tooth Indexing Table
     多面棱体和多齿分度台差分实现基准小角度
短句来源
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      polygon
    Let $\Omega$ be a smooth domain in R2 containing a polygon D.
          
    Besides, when all the parametric factors tend to zero, the curves globally approximate to the control polygon.
          
    The paper proposes and proves three theorems of location reference node placement according to the analysis of the location error produced during location using a polygon location method and three important characteristics of chaos dynamics.
          
    Based on the three theorems, the location reference node selection (LRNS) algorithm is proposed by improving on the traditional polygon location algorithm.
          
    A symmetric polygon wide slot has been placed on the antenna ground.
          
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    This paper suggests an approximation method for solving the problems of diffraction due to perfectly conducting cylinder, the section of which is a smooth curve C of arbitrary form. The principle of the method is similar to that of H. Bremmer[8]: The field of diffraction due to a cylinder with a polygonal section (which is an inscribed polygon of the curve C) is expanded into a series. The first term of the series is the geometrical field. The second term of the series is the sum of the elementary diffraction...

    This paper suggests an approximation method for solving the problems of diffraction due to perfectly conducting cylinder, the section of which is a smooth curve C of arbitrary form. The principle of the method is similar to that of H. Bremmer[8]: The field of diffraction due to a cylinder with a polygonal section (which is an inscribed polygon of the curve C) is expanded into a series. The first term of the series is the geometrical field. The second term of the series is the sum of the elementary diffraction fields due to the wedges of the polygonal cylinder. These fields are taken as those of Sommerfeld's problem, i.e., both sides of each wedge are infinitely extended. Each of these elementary fields falls on the neighbour wedge and is diffracted by the latter, and this diffracted field in turn falls on the next neighbour wedge and is again diffracted by the latter, etc. The field diffracted by the wedges one after another in such a way is called the main tangential elementary field. The third term of the series is the sum of these main tangential elementary fields. The field diffracted by wedge A, being diffracted again by the neighbour wedge B, reflects back on wedge A again, and then propagates in this direction progressively in a manner mentioned above. Such a field is called once-reflected elementary field. The fourth term of the series is the sum of these once-reflected elementary fields, etc. In general, the m-th term of the series is the sum of the (m-3) times-reflected elementary fields. Every elementary diffracted field due to any wedge is taken as the solution of Sommerfeld's problem for this wedge in the manner mentioned above. As the sides of the inscribed polygon approach to zero, the inscribed polygon approaches to the curve C, and each term of the series becomes an integral, the limit of the summation of the series approaching to the rigorous solution of the initial problem.

    本文对于任意形状的光滑柱状理想导体的衍射提出一种级数解法。方法的原理与层变媒质的Bremmer级数相似:先以内接多面稜柱代替上述光滑柱体;将此稜柱产生的衍射场展为一个级数。级数之首项为几何光学场;级数之第二项为稜柱的所有各稜产生的元衍射场之和,其中每个元衍射场皆取Sommerfeld问题的解,即将该稜之两侧面视为半无限大的平面。上述每一元衍射场皆投射在其相邻稜上,并在相邻稜上发生衍射;这一衍射场随之又投射在下一个相邻稜上而发生衍射;依此类推。按此方式依次被各稜所衍射的场称为“主掠射元场”。级数之第三项即为这些主掠射元场之和。被某一稜A衍射而后又在相邻的稜B上衍射的某一元场,同样会回射到A上;然后以上述“主掠射”方式传递下去,这样的场称为“一次反射元场”。级数的第四项即为这些一次反射元场之和。依此类推。一般说来,级数之第m项(m>3)为m-3次反射元场之和。元场在任何一稜上的衍射皆取Sommerfeld解。当内接多面稜柱之面数趋向无穷,且每面之宽度趋向零时,多面稜柱即趋于光滑柱体,且级数每一项的求和变为一个积分。这时该级数总和之极限即为原问题之解。 对级数之前三项单独进行了推导。对于一般的第m项(m>3),导出...

    本文对于任意形状的光滑柱状理想导体的衍射提出一种级数解法。方法的原理与层变媒质的Bremmer级数相似:先以内接多面稜柱代替上述光滑柱体;将此稜柱产生的衍射场展为一个级数。级数之首项为几何光学场;级数之第二项为稜柱的所有各稜产生的元衍射场之和,其中每个元衍射场皆取Sommerfeld问题的解,即将该稜之两侧面视为半无限大的平面。上述每一元衍射场皆投射在其相邻稜上,并在相邻稜上发生衍射;这一衍射场随之又投射在下一个相邻稜上而发生衍射;依此类推。按此方式依次被各稜所衍射的场称为“主掠射元场”。级数之第三项即为这些主掠射元场之和。被某一稜A衍射而后又在相邻的稜B上衍射的某一元场,同样会回射到A上;然后以上述“主掠射”方式传递下去,这样的场称为“一次反射元场”。级数的第四项即为这些一次反射元场之和。依此类推。一般说来,级数之第m项(m>3)为m-3次反射元场之和。元场在任何一稜上的衍射皆取Sommerfeld解。当内接多面稜柱之面数趋向无穷,且每面之宽度趋向零时,多面稜柱即趋于光滑柱体,且级数每一项的求和变为一个积分。这时该级数总和之极限即为原问题之解。 对级数之前三项单独进行了推导。对于一般的第m项(m>3),导出了一个递推公式。最后,对该级数之收敛条件进行了探讨。

    Applying the perturbation theory to Helmholtz's equations of spherical and sphero-conal systems of coordinates, the author deduces the expressions for the perturbation terms of diffraction due to a plane angular sector with its angle nearly equal to π and those due to an elliptic cone with θ nearly equal to π/2 respectively. Then, following the principle in [10], substituting the diffracting plane disk of arbitrary form by its inscribed polygonal disk and the diffracting surface of arbitrary form by a surface...

    Applying the perturbation theory to Helmholtz's equations of spherical and sphero-conal systems of coordinates, the author deduces the expressions for the perturbation terms of diffraction due to a plane angular sector with its angle nearly equal to π and those due to an elliptic cone with θ nearly equal to π/2 respectively. Then, following the principle in [10], substituting the diffracting plane disk of arbitrary form by its inscribed polygonal disk and the diffracting surface of arbitrary form by a surface which consists of many small inscribed elliptic cones of the original surface, we make the summations of the perturbation terms for the sectors of the polygon and those of the tops of the small cones respectively. In the limiting case these two summations become integrals, hence the diffraction fields of first-order due to the disk (thereof, the complementary plane screen with a hole) and the surface of arbitrary forms are derived respectively.

    作者应用微扰理论首先导出了顶角接近π的平面扇形导体衍射场与θ接近π/2的橢锥导体衍射场的微扰项之表达式,因此,对其相应的简单问题——导体半平面屏的衍射与导体平面的反射,也得到了相应的微扰项之表达式。然后,按照文献中所提出的原理,以内接多边形代替一般形状的导体薄片,以许多内接小橢锥面组成的曲面代替一般形状的导体表面,分别将上述微扰对多边形各顶点及曲面各内接锥顶求和。在极限情况下,求和变为积分,从而分别导出了任意形状的导体薄片(因而导体平面屏上的开孔)与导体表面衍射的一级衍射场,它们是对几何光学场的一级修正。

    In this paper a numerical method of branching of solutions of nonlinear equations F(x;λ)=o is discussed, where F:R~n×R→R~n are sufficientlly smooth functions. Suppose(x,λ)is its any known singular point.when Jacobi matrix of F at singular point has rang n-1, by means of classical Newton-Polygon theory we present a new numerical method which may diterminate numbers of bnanching from singulr point and new started points on the branching solutions.Different from Newton-Polygon method, our method needs...

    In this paper a numerical method of branching of solutions of nonlinear equations F(x;λ)=o is discussed, where F:R~n×R→R~n are sufficientlly smooth functions. Suppose(x,λ)is its any known singular point.when Jacobi matrix of F at singular point has rang n-1, by means of classical Newton-Polygon theory we present a new numerical method which may diterminate numbers of bnanching from singulr point and new started points on the branching solutions.Different from Newton-Polygon method, our method needs not to compute derivatives, but only valuation of functions itself, so that it is available in particular application. At the end ofthis paper a few numerical examples are given.

    本文讨论了非线性方程F(x;λ)=o的分支解的数值方法,其中F∶R~2xR→R~n是充分光滑的函数。设(x,λ)是一个已知奇点。当F的Jacobi矩阵在奇点的秩为n-1时,我们利用古典的牛顿多边形理论提出了一种计算由奇点分叉出去的解支个数和分叉解支上的新起点的新的数值方法。和牛顿多边形方法不同,我们的方法不需要计算导数值而只需要计算函数值本身,因而在具体应用中是行之有效的。本文的末尾给出了一些数值例子。

     
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