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.
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。
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.
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 .
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.
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.
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.
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 toolboxMatLab and structural analysisFortran or C accomplished in MatLab environment at one go．
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 is made.
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  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).