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curve family
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  曲线族
     Let B be a biconnect domain in the extended complex plane R 2, Γ and Γ′ denote the curve family in B which separates and joins the two boundary components of B espectively, and M(Γ) and M(Γ′)denote the module of Γ and Γ′ respectively, we prove in this paper that M(Γ)=1M(Γ′).
     设B为扩充复平面R2 中的双连通区域,Γ与Γ′分别表示B中隔离和连结B的两个边界分支的全体曲线所组成的曲线族,M(Γ)与M(Γ′)分别表示Γ与Γ′的模,证明了M(Γ) =1M(Γ′).
短句来源
     A method for handling interpolation of the curve family f (λ, X) with one parameter during electric machine CAD is presented.
     给出处理电机的计算机辅助设计中出现的具有一个参数的曲线族f(λ,X)的插值计算问题的一种方法.
短句来源
     In this paper, functions of the P-Sa-Sm-N surface family under constant amplitude cyclic loading are established by combining the P-S-N curve family and constant life diagrams,which is fcasible in engineering application. Meanwhile, the preconditions of mechanics and probability-statistics are clearly presented.
     本文由等幅疲劳三参数P-S-N曲线族方程和等寿命曲线方程,建立了便于工程应用的等幅疲劳P-Sa-Sm-N曲面族方程,并且十分明确地给出了其成立的力学及概率统计前提;
短句来源
     A new method for modification of curves is described in this paper. To modify an initial G~2 rational cubic Bezier curve,we give constrained boundaries,replace the curve segment intersecting the boundaries with one of its curve family,which is either tangent to the boundaries or passes their vertexes,and restore G~2 continuity according to the curvature.
     提出了一种新的用于曲线修正的方法:对于初始的G2分段有理三次Bezier样条曲线,首先根据需要给出约束边界,对于与约束边界相交的曲线段,将被其所在的曲线族中的一条与约束边界相切或过约束边界顶点的曲线所取代,最后依据曲率恢复其G2连续性.
短句来源
     These curves are then transformed into equivalent damage curve family. Thus the full fatigue damage field is shown .
     该曲线族可以转换成相同损伤量下交变应力与循环数关系的等效损伤线族,显示了损伤场全貌。
短句来源
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  曲线簇
     Based on measured data of test piles and with full consideration of the varying conditions of site, concept and empirical equation of π-S curve family and numerical solution of relevant P-S curve are put forth.
     根据试桩实测资料,并充分考虑到场地的变异条件,提出了τ—s曲线簇的概念、经验公式及相应的P—S曲线数值解法。
短句来源
  线族
     These curves are then transformed into equivalent damage curve family. Thus the full fatigue damage field is shown .
     该曲线族可以转换成相同损伤量下交变应力与循环数关系的等效损伤线族,显示了损伤场全貌。
短句来源
     By mathematical analysis, this equivalent damage curve family function was mathematically expressed.
     通过对三种材料等效损伤线族测试和分析 ,给出损伤线族方程表达式。
短句来源
     The mathematical function of the equivalent damage curve family is well fitted with the test data. The damage cumulative model and fatigue life prediction in complex loading were derived from the damage curve family function.
     分析得到的损伤线族方程与实验数据拟合很好 ,由该损伤线族方程导出了复杂加载下损伤累积模型及疲劳寿命计算方法。
短句来源
  “curve family”译为未确定词的双语例句
     In this method, firstly we compute the exterior trajectory and the rotational angular velocities of the projectiles along the trajectory, and then we obtain the curve ω-t of angular velocities vs. time of flight. Through the analysis of ω-t curve family under various angles of fire, we select a ω_(t0)~* which can meet the tactical requirements.
     这种方法是首先计算外弹道和弹丸沿弹道的旋转角速度ω,然后输出旋转角速度对于时间的曲线ω-t,通过对不同射角下ω-t曲线族的分析,选择战术要求的ω_(t0)~*。
短句来源
     Storidal openings are formed by the storoidal curve family, which lies between the circle (or ellipse) and the squar (or rectangle).
     Storoidal孔口是由处在圓形(或椭圆形)和正方形(或矩形)之间一簇Storoidal封闭曲线所形成的孔口。
短句来源
     (3) probabilistic density functionfitting using the Pearson curve family. A sample problem demonstrating the effectiveness of IFUA isaccomplished.
     (3)用Pearson概率分布族求解概率密度函数。
短句来源
     The curve family calculated from the formula covers all experimental points and the formula can naturally be reduced to some other late published formulas under the some specified conditions.
     这个近似公式定量显示了屈服应力、本构关系、粘度和径向收缩效应等对射流断裂时间的影响,在4个不同的特殊近似下,可以自然演化为近10年来所发表的几个半经验解析公式,并且在合理的参数范围内,公式给出的断裂时间曲线覆盖了射流断裂时间的全部实验点。
短句来源
     In this paper, the methods of fitting non-normal data by Johnson curve family are discussed.
     以抽样百分位点选择约翰逊分布函数来拟合非正态数据为基础,分析了许多最佳拟合Johnson曲线并转换为正态分布的方法。
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  curve family
Since the demand curve family facing the perfectly competitive firm has the formP =a, there is only one supply curve in this case.
      
235 lgτ, using the single scattering theory modified with epicentral distance, we obtain the curve family of corrected coda amplitudeAc(r,t), andω/2Qc values for each time interval of coda.
      
Thus, extending the H-curves can unify both C-curves and H-curves into a curve family too.
      
Thus, extending the C-curves can unify both C-curves and H-curves into one curve family.
      
Generally, the Hilbert curve family exhibits good performance in these studies.
      
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This paper presents a method for employing electronic computer of small and medium size to compute and select the angular velocity ω_(t0) of self-destruction device, and to determine the principal structural parameters of the device. In this method, firstly we compute the exterior trajectory and the rotational angular velocities of the projectiles along the trajectory, and then we obtain the curve ω-t of angular velocities vs. time of flight. Through the analysis of ω-t curve family under various angles...

This paper presents a method for employing electronic computer of small and medium size to compute and select the angular velocity ω_(t0) of self-destruction device, and to determine the principal structural parameters of the device. In this method, firstly we compute the exterior trajectory and the rotational angular velocities of the projectiles along the trajectory, and then we obtain the curve ω-t of angular velocities vs. time of flight. Through the analysis of ω-t curve family under various angles of fire, we select a ω_(t0)~* which can meet the tactical requirements. For various numbers and diameters of the steel balls, we can compute the curve of angular velocity ω_(t0) of self-destruction vs. oblique angle α of the bevel shaped edge of sleeve (Fig. 2) and we get a group of curves. Based on the ω_(t0)~* selected from the tactical requirememts, we can determine suitable structural parameters i, d and α. With this method we can easily reveal the conditions of the dispersion of the burst points and the relationship between the positions of burst points of self-destruction and the minimum angle of fire θ_(0min) under various angles of fire θ_0 so as to solve the problem of optimum design which needs large amount of calculations and requires a few but very comprehensive influencing factors.

本文提出了一种利用中小型电子计算机论证选择离心自炸机构自炸角速度ω_(t0)~*。及设计确定钢珠离心自炸机构基本结构参量的方法。这种方法是首先计算外弹道和弹丸沿弹道的旋转角速度ω,然后输出旋转角速度对于时间的曲线ω-t,通过对不同射角下ω-t曲线族的分析,选择战术要求的ω_(t0)~*。对不同的钢珠数目i,不同的钢珠直径d,可以计算出自炸角速度ω_(t0)与倾角α(参见图2)的关系曲线,输出这个曲线族,根据战术要求选定的ω_(t0)~*。即可分析确定合适的结构参量i,d及α。这种方法便于看清各种不同射角θ_0时自炸炸点分布的情况及自炸炸点位置与最小射角θ_(0min)的关系。从而可以解决这种计算量大、要求考虑全面而因素又不太多的优化设计问题。

The stress distribution in the plate with the storoidal opening and the stress concentration around the opening are investigated by finite element method in this paper. Storidal openings are formed by the storoidal curve family, which lies between the circle (or ellipse) and the squar (or rectangle). The storoidal curves are practical and versatical and meet opening designs in the machine, aircraft and shipbuilding fields. Seven cases of the stress analysis of opening are given in this paper. The...

The stress distribution in the plate with the storoidal opening and the stress concentration around the opening are investigated by finite element method in this paper. Storidal openings are formed by the storoidal curve family, which lies between the circle (or ellipse) and the squar (or rectangle). The storoidal curves are practical and versatical and meet opening designs in the machine, aircraft and shipbuilding fields. Seven cases of the stress analysis of opening are given in this paper. The numerical results are obtained and some are illustrated by figures. In analysing the stress of the storoidal opening by means of computer techniques, we have found that the storoidal openings are generally superior to some of the more common types of openings. We recommend that this new type of opening be used in the engineering design.

本文用有限无法研究有Storoidal孔口板的应力分布及孔边应力集中问题。Storoidal孔口是由处在圓形(或椭圆形)和正方形(或矩形)之间一簇Storoidal封闭曲线所形成的孔口。Storoidal孔口在几何上富于变化,容易满足像机械,飞行器和船舶结构工程中开孔的需要。文中给出了七种Storoidal孔口板的应力计算,并给出数字结果和图表,用计算机对这种孔口板的应力分析结果表明,Storoidal孔口比通常类型孔口优越,故建议在工程中应用这种新类型孔口。

To analyze the effect of two important derivatives, C_m and C_m~a, on roots of the characteristic equation of Ram Wing Vehicles (R.W.V.), the parameter plane method(P. P. M. ) in Dynamic Systems Analysis is applied. The parameter plane of the longitudinal motion equation of R.W.V. is established herein. Both C_m, and C_m~a, are considered as adjustable parameters. After the characteristic roots on the boundaries and break line are analyzed, the existential conditions of various steady regions can be obtained....

To analyze the effect of two important derivatives, C_m and C_m~a, on roots of the characteristic equation of Ram Wing Vehicles (R.W.V.), the parameter plane method(P. P. M. ) in Dynamic Systems Analysis is applied. The parameter plane of the longitudinal motion equation of R.W.V. is established herein. Both C_m, and C_m~a, are considered as adjustable parameters. After the characteristic roots on the boundaries and break line are analyzed, the existential conditions of various steady regions can be obtained. The results indicate that these conditions strongly depend on the break line. By mapping various steady boundaries from the parameter plane to the complex plane, the regions of steady characteristic roots and the ends of characteristic curve families, Г,, Г_0 and Г, can be determined. Two examples are given for explaining the results.This parameter plane distinctly shows the relationship between the derivatives C_m and C_m~a and all characteristic roots of the equation. It can be used for improving design, properly choosing related derivatives and estimating errors.

本文引用动力学系统分析中的“参数平面法”,导出了以关键导数C_m~h和C_m~a为可调参数的冲翼艇纵向运动方程的参数方程,并以特征曲线簇Γ_σ、Γ_ω和Γ_r表示。为能显示关键导数同运动特性之间的定性关系,文中从对等负实根曲线簇Γ_r的包络线的分析,将整个稳定区划分成具有不同运动性质的子区域;根据对各子区域边界数学特性的分析,确定了各特征曲线簇的端点特性,从而为数值计算奠定了基础。由计算结果绘成的参数平面图全面地表示了C_m~h和C_m~a同运动方程全部特征根之间的定量关系,可供改进方案设计、合理选择关键导数和误差分析时参考。

 
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