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1)  Newton liquid
Newton体
2)  Newtonian fluid
Newton流体
1.
In this paper,the Newtonian fluid model was used to describe rheological property of the produced fluid,and motion equation of unsteady flow of Newtonian fluid in eccentric annulus with the inner cylinder reciprocating axially was transformed by means of the method of undetermined coefficients.
采用Newton流体模式描述油井产出液的流变性,利用待定系数法变换Newton流体在内管做轴向往复运动的偏心环空中非定常流的运动方程,建立给定流量下Newton流体在内管做轴向往复运动的偏心环空中非定常流的压力梯度计算公式,并利用有限体积法对压力梯度进行数值计算。
2.
The non-inertia motive coordinate system is introduced so that the analysis of the flow ofa Newtonian fluid in annulus with the inner cylinder executing a planetary motion is greatlysimplified;the stream-function is introduced due to the continuity of the flow so that thetotal number of variables of the motion equations is reduced.
本文将Newton流体在内管做行星运动的环空中流动问题放在一个运动坐标系中分析,使问题得以简化;根据流动的连续性引入流函数,减少了运动方程中的未知数的个数;通过运动直角坐标系与运动双极坐标系的转换,流动的不规则偏心环域化为了规则矩形区域,简化了边界条件的处理,得到了运动双极坐标系下Newton流体在内管做行星运动的环空中流动的运动方程和边界条件。
3)  non-Newtonian fluid
非Newton流体
1.
Velocity distribution of unsteady flow of non-Newtonian fluid in eccentric annuli with the inner cylinder reciprocating axially;
非Newton流体在内管做轴向往复运动的偏心环空中非定常流的速度分布
4)  newton method
Newton法
1.
The comparison of three kinds of Newton methods in solving nonlinear equations;
非线性方程组求解的三种Newton法比较
2.
A hybrid iterative algorithm for unconstrained optimization problems is formulated by means of combining organically the steepest decent method and Newton method.
将最速下降法与Newton法有机地结合起来,构造了无约束优化问题的一种组合迭代算法,并证明了算法的全局收敛性。
3.
The Newton method for solving non-negative constraint problems is proposed.
当非负限制对问题的最优解不起作用时,该算法等价于Newton法;当非负限制对问题的最优解起作用时,它仍具有局部收敛性,且可快速收敛到非负限制问题的边界点上,保持二阶收敛速率。
5)  Newton's method
Newton法
1.
The local and semi-local convergence criterions of Newton's method on Riemannian man-ifolds and Lie groups are given, and the generalized point estimate theories of Newton'smethod on Riemannian manifolds and Lie groups are provided.
本文研究Riemann流形和李群上的Newton法的收敛性,给出了关于Riemann流形和李群上的Newton法的广义点估计理论。
6)  Newton's diagram
Newton图
1.
Bifurcation phenomenon of the nonlinear equation f(x,λ)=(x 1x 2 2+λx 2+λ 4,-x 2 1-x 2) T=0 near the origin is studied by using LS reduction and Newton′s diagram,three branches bifur cating equilibrium point is obtained.
利用LS简约和Newton图研究了非线性方程 f(x ,λ) =(x1x22 +λx2 +λ4 ,-x21-x2 ) T =0 在原点附近的分岔现象 ,得到了从平衡点分枝出来的全部实的三个解枝 。
补充资料:Newton method for convergence
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性质:一种非线性方程迭代求解方法。利用方程表达式函数的一个点产生一条切线去逼近该函数曲线,进行逐次迭代求解直至收敛。如果方程形式为f(x)=0,则迭代公式为:其中k为迭代次数,f′[x(k)]为f(x)在x(k)点的导数值。这种方法需要设置一个初值点。

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