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Having discussed Wallis'interpolation in great detail, the paper shows that Wallis mainly relied on incomplete induction and analogical inference to obtain his results, an approach which was key to the creation of many important algorithms during the considered period. A comparison between Wallis'method and previous interpolations is then made and the influence of Wallis' thinking style embodied in his interpolation on Newton's invention of binomial theorem is clearly revealed.

通过考察沃里斯的值过程,指出沃里斯值法完全是借助于不完全归纳和类比推理得到的,并与过去的值法做了比较,最后分析了沃里斯值法对牛顿发明二项式定理的影响。

Based on Bezier curve continuance of first-order and second-order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real-time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续,导出了两段Bezier曲线特征向量应满足的关系方程,Bezier补法不仅在理论上可使所有的补点落在曲线上,而且实时曲补速度高,每次补时可合理地选择参数增量,能使补速度保证不变,也可控制弓高误差。

Furthermore,we present the method for designing quadratic Bezier developable surface:give four corner points of developable surface and two free designing parameters,the other two control vertexes are on the line connecting the linear interpolation point between the first two control vertexes and the linear interpolation point between the last two control vertexes,and they are the linear interpolation points between these two linear interpolation points respectively,namely,these four linear interpolation points are colinear.

提出了二次Bézier可展曲面的设计方法:给定可展曲面的4个角点a0、b0、a2、b2和两个自由设计参数?姿、?滋,则待求的2个控制顶点a1、b1是在前2个控制顶点a0、b0的线性值点a*与后2个控制顶点a2、b2的线性值点b*的连线上,并且也是a*、b*这2个线性值点的线性值,即这4点a*、a1、b1、b*共线。

In accordance with two independent rectangular coordinate systems, this paper discusses the complete coordinate formula of the middle spiral curve, the two groups' basic relation which is different to the general one and the significant intentions for averting chain breaking, which comes from the line parameter selected to compute the right coordinate of the curve points.

从二个独立的直角坐标系出发,分析中缓和曲线点位坐标计算的完整模式,说明中缓和曲线有别于一般缓和曲线的两种基本关系,指出有效选用连接参数m值在准确计算中缓和曲线完整点位坐标避免曲线断链的重要作用,结合实例阐述任意测站坐标变换技术计算中缓和曲线点位坐标的公式和应用效果

The interpolation algorithm of introduced error compensation for complex parametric curve in space is proposed for the high precision interpolation of parametric curve on the basis of studying the first, second order taylor expression parametric curve interpolation algorithm and the plane parametric curves interpolation algorithm.

以一、二阶泰勒展开式参数曲线补算法和平面参数曲线补算法研究为基础,提出引入误差补偿值的复杂空间参数曲线高精度补算法以实现空间曲线的高精度补。

The propagation of Matteuccia struthiopteris(1)Rhizome Cuttage : Propagation of cuttage from different parts, lengths of the rhizome on different media were studied.

荚果蕨的繁殖(1)扦根状茎繁殖:研究了不同穗部位和不同长度相同穗在几种基质中扦的情况。

The approximation of field variable by RPIM is performed in a parameter domain. The shape function of RPIM possess Delta function's property.

该方法利用径向点值方法,在参数域对每一个非样本点的支持域进行过点值,构造出具有Delta函数性质的值函数,能够实现参数域场变量的快速值近似。

The principle of the fractal-interpolated surface was discussed. The formula and the theorem of fractal dimension of the fractal-interpolated surface were analyzed. The numerical analysis of height anomaly fit by the fractal interpolated surface and the result comparison with the quadric polynomial surface model with practical data were given.

本文论述了分形值曲面的原理,分析了分形值曲面的计算公式,讨论了分形值曲面的维数估计方法和公式,用实际数据进行了分形值曲面拟合高程异常的数值分析以及与二次多项式曲面拟合模型结果的比较。

Guangzhou City, Ho Li Stainless Steel Products Factory Main Products Fashion has stainless steel shelves, stainless steel blender blade, stainless steel metal products (commonly Block, U-type pumping hands, lock Activity card, Ox Lee, the seventh song, Yuan Xin hinges, decorative cover, seven Qu word glass folder, hose hinge teeth, small to take over the meson, small cow door, metadata and, welding glass folder, directly to the glass folder, Park Top screw head, get a barrel, straight out of the screw head, welding screw head, Hengmen Play , elastic cross-door plug, trunk sleeve with stainless steel chain inserted door with lock ring card, straight trunk with side door horizontal interpolation, long locks card sleeve, rectangular key drainage, triangle decorated occasional bending as nose, triangular drainage key, day care word ornaments, doll head) can be customized to any specifications of stainless steel products, widely used in various industries.

广州市合利不锈钢制品厂主要产品有不锈钢时装货架,不锈钢搅拌机叶片,不锈钢五金产品(通座,U型抽手,活动锁牌,牛利,七字曲,元心铰,饰盖,七字曲玻璃夹,喉牙铰,小接手,介子,小门牛,元并,焊接玻璃夹,直出玻璃夹,园顶螺丝头,揽桶,直出螺丝头,焊接螺丝头,横门,弹力横门,象鼻套筒,带不锈链门,带圈锁牌,直象鼻,带方横门,长锁牌,套筒,长方形渠匙,三角饰托,弯象鼻,三角渠匙,日字饰托,公仔头)可订做任何规格不锈钢产品,广泛应用于各个行业。

Results Four patients had shortly ventricular extrasystole, ST segment depress and T wave inversion in groupⅠ; the parameter values kept statistically stabilization in group Ⅲ compared with groupⅠand groupⅡ.

结果:Ⅰ组管后即刻、管后2 min的SBP、HR和RPP值均显著高于雾化前基础值(P<0.01),SBP在管后5 min仍高于基础值(P<0.05)。Ⅱ组管后即刻SBP、HR和RPP与基础值比较明显增高(P<0.01或P<0.05)。

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