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 几何意义
 geometric meaning
 By studying the geomentric continuity and parametric continuity of the connected Bezier curve,the paper gives the geometric meaning of the continuity of the G~0,G~1,G~2 and C~0,C~1,C~2 and improves the bounded conditions of the C~2 continuity. 研究Bezier曲线拼接的几何连续性及参数连续性,总结出G0,G1,G2及C0,C1,C2连续的几何意义,并且对C2连续的约束条件进行了改进。 短句来源 For example, the geometric meaning of the continuity of the G~2, G~3 and some method of paper [5] and [14] . 首先介绍了一些已有结果,如G~2,G~3连续的几何意义和文献[5][14]中构造样条曲线的手法。 短句来源 and also shows that the geometric meaning of integral is the area sum of infinite differential curve trapezoid. 阐明了积分等于原函数增量以及连续与可原、连续与积分的关系 ,说明了积分的几何意义是无限个微分曲边梯形面积之和 . 短句来源 THE GEOMETRIC MEANING OF THE RICCATI EQUATION RELATED TO SINE-GORDON EQUATION 与Sine-Gordon方程相关的Riccati方程的几何意义 短句来源 The Geometric Meaning for the Parametric Equations of Quadric Curves 二次曲线参数方程的几何意义 短句来源 更多
 geometric significance
 Geometric significance and application of Legendre's transformation Legendre变换的几何意义及应用 短句来源 2.New geometric significance of the complex number a+bi (including one dimension to n dimension)is suggested. 2.复数 a+bi 的新的几何意义(包括一维直到 n 维). 短句来源 We give a geometric significance of a necessary and sufficient condition on the spherical curves, If Rcos( - τds + c) = p Where p is the curvature radiusof r = r (s) and R, C are constant, then θ= - τds + c is the angle beturecnβ(s) and r - r on the nomal plane of r = r (s). =(?) (s)为球面曲线的充要条件是存在常数R和c,使Rsin(integyal from n=1 to s (τds+c)=ρ成立。本文指出若改取Rcos-(integyal from n=0 to s (τds+c)=ρ,则有明显的几何意义。 短句来源 AN INNER PRODUCT ON EXTERNAL VECTOR SPACE AND THE GEOMETRIC SIGNIFICANCE OF THE EXTERIOR PRODUCT 外矢量空间的内积函数及外积的几何意义 短句来源 This paper analyses the geometric significance of improved Coates Graph and gain formula and introduces a method to obtain the flow graph directly from network. A comparison is made by the author between the improved Coates Graph and Mason Graph. 本文对改进的Coates图及增益公式的几何意义进行了分析,并介绍了直接从网络获得流图的方法,同时与Mason图进行了比较。 短句来源 更多
 geometry meaning
 The formula of probability integral of function of density is proved by some method for the random variables X obeying standard statistics normal distribution function, and using variables substitution, differential median theorem, geometry meaning of integral, integral property and the theorem of approach, Γ-function and β-function etc method. 利用变量代换、微分中值定理、积分几何意义、积分性质及夹逼定理、Γ -函数和β-函数关系等方法 ,对服从标准正态分布的随机变量 X ,其密度函数的概率积分公式 ,给出了多种证明方法 . 短句来源 The Perspective Geometry Meaning of P.Q.R in Three-Dimensional Perspective Matrix 立体透视变换矩阵中 P.Q.R 的透视几何意义 短句来源 The Perspective Geometry Meaning of P.Q.R in Three dimensional Perspective Matrix 立体透视变换矩阵中P.Q.R的透视几何意义 短句来源 This paper obtains the general expressions of the principal curvature derived from differential geometry and use the geometry meaning of curvatures to analyze the shape and the extent of deformation of structural surfaces. 由微分几何学基本原理得出构造面主曲率和Gauss曲率的一般计算公式,利用曲率的几何意义进行地质构造面的形态和弯曲变形程度分析,并做为裂缝发育预测的评价因子。 短句来源 The paper analyises and proves the perspective geometry meaning of the P.Q. R. 本文对P．Q．R的透视几何意义进行了分析证明，这对在选择P．Q．R来绘制透视图时有一定的帮助。 短句来源 更多
 geometrical meaning
 Dislike the geometrical meaning of Finite Element Method, some detailed geometrical meaning and physical meaning are applied in the Mold Element Division, so that each Mold Element has different mechanical characteristics. 模型单元的划分,不像有限元法那样仅有几何意义,模型单元的划分应用了一些具体的物理表面,使每个模型单元具有相互不同的力学特征,因此既具几何意义,又有物理意义。 短句来源 Starting from the geometrical meaning and space transformation of reliability index β, this paper discusses the improved and simplified calculation of β under the condition of nonlinear and correlated random variables. 本文从可靠指标β的几何意义和空间转换入手，探讨了非线性相关变量条件下β的改进、简化计算方法。 短句来源 Parametic Geometrical Meaning in the Axis Plane Beam Equation 有轴平面束方程中参数的几何意义 短句来源  Presentsthe optimization model established to the geometrical meaning of the structural reliability index for computing the structural reliability index and the implementation of this model with optimization toolboxMatLab and structural analysisFortran or C accomplished in MatLab environment at one go． 首先根据结构可靠指标的几何意义，建立了结构可靠指标计算的优化模型； 然后在MatLab环境下同时进行优化计算（MatLab）和结构分析（Fortran或C），实现了这种优化模型。 短句来源 Including the imPorting of the elliptic ctirve, the geometrical meaning of theoperation on the curve, the finite fie1ds and domain parameters on the curve. 包括椭圆曲线的引入、曲线上运算的几何意义、有限域上的椭圆曲线以及椭圆曲线域参数的含义。 短句来源 更多

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 geometric meaning
 In Part II, these special functions are used to express new sufficient conditions of instability for a particular class of unstable nonlinear dynamic systems in terms of functions having a simple geometric meaning. The physical and geometric meaning of the variables in the reduced action functional is investigated. In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain the geometric meaning of the basic invariants of vector distributions. The proofs produced have significantly enhanced geometric meaning and fewer nongeometric nondegeneracy conditions. Hence a further clarification of the geometric meaning of the orthogonal transformation obtained in the author's paper[7] is made. 更多
 geometric significance
 We construct and explain the geometric significance of the generalized K?hler potential for any generalized K?hler manifold; this potential is the superspace Lagrangian. The paper contains several new results, of geometric significance, on CR-integrable manifolds and the harmonicity of such maps. A geometric significance is attached to the results of this approach by introducing the concept of a 'multiplicative product' of two vectors. Geometric significance of the spinor covariant derivative The spinor covariant derivative through which the equations of quantum fields are generalized to include gravitational coupling has a direct and simple geometric significance. 更多
 geometrical meaning
 In this paper, the geometrical meaning of two basic optimality conditions for a class of common cases in nonsmooth programming is exposed. A geometrical meaning of Theorem 1 from [1] is explained, and it is shown that the theorem follows from some general results [2, 3] on hypotheses testing. This method combines the Hill equation, the Kepler equation, and the geometrical meaning of orbit elements. In this paper, authors introduced the Akp-Btk value method with clearly geometrical meaning as anew method, which only requires three very high signal-noise-ratio waves O1, K1 and P1 for the resolution. The physical and geometrical meaning ofchirality P5 is derived, in such a context, and shown to be essentially connected with the inversion of afifth axis (axis related to the rest-mass). 更多
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