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heap
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    Single rank inverse broyden iterative method for a nonlinear problems and application to infiltrates surface of heap leaching process
    浸工艺中浸润面的非线性问题逆Broyden秩1迭代方法
短句来源
    A Way of Calculating the Volume of a Sand Heap
    沙问题
短句来源
    This paper gives a formula computing the total height of nodes of serial binary trees with any number of nodes, therefore, the number of comparisons of algorithm of heap construction T(n)<2n is obtained.
    本文给出任意结点数的顺序二叉树结点高度总和的计算公式,从而得出,建造算法的比较次数T(n)<2n.
短句来源
    To study the mechanism of heap leaching process,Single rank inverse Broyden iterative method is applied to find the solution for nonlinear infiltrates surface equation and satisfying numerical results are obtained.
    为研究浸工艺的机理,用逆Broyden秩1迭代公式寻求浸润面非线性方程的数值解,得到了满意的数值结果。
短句来源
    With the law of thermodynamics and theory of energy balance,using mature method for reference in other field,the differential equation of heat transfer in the heap of grain is gotten,and mathematical model of temperature field is established. At the same time,the local temperature change is analyzed.
    利用热力学定律、能量平衡理论等,以及借鉴其他领域比较成熟的方法,得出粮局部导热微分方程,建立了温度场变化数学模型,对粮内温度变化进行分析.
短句来源
  
    Single rank inverse broyden iterative method for a nonlinear problems and application to infiltrates surface of heap leaching process
    浸工艺中浸润面的非线性问题逆Broyden秩1迭代方法
短句来源
    A Way of Calculating the Volume of a Sand Heap
    沙问题
短句来源
    This paper gives a formula computing the total height of nodes of serial binary trees with any number of nodes, therefore, the number of comparisons of algorithm of heap construction T(n)<2n is obtained.
    本文给出任意结点数的顺序二叉树结点高度总和的计算公式,从而得出,建造算法的比较次数T(n)<2n.
短句来源
    To study the mechanism of heap leaching process,Single rank inverse Broyden iterative method is applied to find the solution for nonlinear infiltrates surface equation and satisfying numerical results are obtained.
    为研究浸工艺的机理,用逆Broyden秩1迭代公式寻求浸润面非线性方程的数值解,得到了满意的数值结果。
短句来源
    With the law of thermodynamics and theory of energy balance,using mature method for reference in other field,the differential equation of heat transfer in the heap of grain is gotten,and mathematical model of temperature field is established. At the same time,the local temperature change is analyzed.
    利用热力学定律、能量平衡理论等,以及借鉴其他领域比较成熟的方法,得出粮局部导热微分方程,建立了温度场变化数学模型,对粮内温度变化进行分析.
短句来源
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  heap
Heap leaching with HNO3 and FeCl3 solutions provides the decontamination factor of about 3, and stepwise elution with stirring, 9.0±0.3 which increases with the number of leaching cycles.
      
The problems associated with gold mining are considered from the standpoint of application of heap leaching, a method for gold recovery.
      
Study of the removal of water-soluble copper compounds from heap-leaching gold wastes under the influence of natural factors
      
Auto-amplifying dynamic behavior of heap and convection in granular material
      
Two experiments have been carried out to understand the physical characteristics of surface heap and internal convection of granular material subjected to vertical vibration.
      
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Duo-Ji Bi-Lei (A Study for the Piled heap. 1859 A. D. ?) and Fang-Yuan Shan-You (An Explanation to the Mystery of Square and Cricle,1845 A. D) written by Li Shan lan (1811—1882 A. D.) are two master-pieces in ancient Chinese mathematics, in which Li had studied somekinds of series and invented "the method of curved surface pyramid".In Li's works, however, there is no demonstration for the formulae. In this paper, all of the formulae given by Li in the works arerewritten in modern signs. And also, Li's...

Duo-Ji Bi-Lei (A Study for the Piled heap. 1859 A. D. ?) and Fang-Yuan Shan-You (An Explanation to the Mystery of Square and Cricle,1845 A. D) written by Li Shan lan (1811—1882 A. D.) are two master-pieces in ancient Chinese mathematics, in which Li had studied somekinds of series and invented "the method of curved surface pyramid".In Li's works, however, there is no demonstration for the formulae. In this paper, all of the formulae given by Li in the works arerewritten in modern signs. And also, Li's possible method in demon-stration for formulae as well as the relation between two works arediscussed, The paper points out that the method of curved surfacepyramid results from the method of the piled heap.

本文整理出李善兰《垛积比类》中的全部垛积求和公式(Ⅱ)、(Ⅲ)、(Ⅳ)、(Ⅱ′)、(Ⅲ′)、(Ⅳ′)以及《方圆阐幽》中的尖锥表达式(*),求积公式(**)。考虑到中国古代数学的特点,本又探讨了李氏垛积求和公式的推导方法以及垛积术与锥术的内在联系。

This paper gives a formula computing the total height of nodes of serial binary trees with any number of nodes, therefore, the number of comparisons of algorithm of heap construction T(n)<2n is obtained. Moreover, this paper proves that, both of serial binary trees and right (left) complete trees have the same total height of nodes, if they have the same number of nodes.

本文给出任意结点数的顺序二叉树结点高度总和的计算公式,从而得出,堆建造算法的比较次数T(n)<2n.本文还证明了同结点数的顺序二叉树与右(左)完全二叉树两者的结点高度总和相等.

Let there be a heap of beans with total number N(odd)and an integers,we difine a 2-person game Γ(N,s)as follows:The first player P_Ⅰ takessome beans from the heap,at least one bean and at most s beans.Player two,P_Ⅱ now picks some beans under the same constraint.The play then reverts toP_Ⅱ and continues in the same way until all beans have been removed.Theplayer with odd number of beans at hand wins.In this paper,we completely solve the game.At first,we give thewinning strategy(if exists)for P_Ⅰ.Theorem...

Let there be a heap of beans with total number N(odd)and an integers,we difine a 2-person game Γ(N,s)as follows:The first player P_Ⅰ takessome beans from the heap,at least one bean and at most s beans.Player two,P_Ⅱ now picks some beans under the same constraint.The play then reverts toP_Ⅱ and continues in the same way until all beans have been removed.Theplayer with odd number of beans at hand wins.In this paper,we completely solve the game.At first,we give thewinning strategy(if exists)for P_Ⅰ.Theorem Let r be the number of beans P_Ⅰ leaving to P_Ⅱ at any step, and q be the number P_Ⅰ have at the end of the step.Then P_Ⅰ will win ifr≡1 or 0(mod(2s+2))if q is odd,andr≡s+1 or s+2(mod(2s+2)) if q is evenwhen s is odd andr≡1 or 0(mod(s+2))if q is odd,andr≡s+1(mod(s+2))if q is evenwhen s is even.The theorem can be proved by induction.As a by-product of the theoremwe haveCorollary Γ(n,s)is a win for P_(?) iff n≡s+1(mod(2s+2))when s isodd and n≡s+1(mod(s+2))when s is even.

本文求解如下的组合对策问题:设有一堆棋子,总数N 是奇数,甲乙两人轮流取子,每人每次可取一颗、二颗,最多可取s 颗,但不能不取,直至取完后分别来数甲乙两人所取棋子的总数,总数为奇数者获胜。站在甲的立场上考虑获胜的策略,文中解决了如下两个问题:(Ⅰ)总数N 应是什么样的奇数,甲才有获胜策略;(Ⅱ)当N 一定时,甲应采取什么样的策略取子,才能获胜。

 
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