Isaac Newton

Isaac Newton的基本解释

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艾萨克·牛顿

相似词

isaac newton

与Isaac Newton相关的网络例句 [注：此内容来源于网络，仅供参考]

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

It also makes analysis on the connection of Newton's prism experiments, and describes how Newton proved these propositions by taking advantage of these experiments in the article. As well the author makes analysis and generalization on the make of Newton's reflecting telescope and Newton's

首先，在对《光学》认真研读的基础上，首次对其光的颜色理论部分的大量棱镜实验之间的关系进行了分析，从而说明牛顿是如何利用这些实验证明这些命题的；其次，笔者在前人研究的基础上，对反射望远镜的制造和牛顿环理论进行分析和总结，力求描述得清楚全面；最后，鉴于国内外对牛顿光本性认识的研究存在分歧的情况，笔者对惠更斯和牛顿的相关著作进行了详细考察，对他们的光本性观点进行了系统的研究和比较，从而指出那种只因牛顿

与Isaac Newton相关的网络解释 [注：此内容来源于网络，仅供参考]

Isaac Newton：艾萨克.牛顿

本书的主要内容是以虚拟的三人讨论的形式来表述的,参与者包括艾萨 克.牛顿(Isaac Newton)、阿尔伯特.爱因斯坦(Albert Einstein)和一位 虚构的名叫阿德里安.

Isaac Newton：牛顿

若牛頓(Isaac Newton)能使用一部超級電腦,他很可能受夠了觀察蘋果掉落 -- 並讓超級電腦算出這些物理問題. 但這樣一部電腦可能需要執行某種演算法,如康乃爾研究者所開發的,那能夠從所觀測到的資料中導出自然法則.

Isaac Newton：依萨克.牛顿

另一个有关高买低卖、具有不稳定性的外部投机者的例子是依萨克.牛顿(Isaac Newton)具有启迪意义的历史故事. 作为一个伟大的科学家,他应该是理性的. 1720年春,他写道:"我可以计算天体的运动,但无法计算人类的疯狂. "因此,

Isaac Newton：艾萨克.牛顿(英国科学家)

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Isaac Newton telescope：牛顿望远镜

isa 锰铜 | Isaac Newton Telescope 牛顿望远镜 | isabnormal 等异常线