Diophantine
释义
[计] 刁番图的；
英英释义
Diophantine
Diophantine means pertaining to the ancient Greek mathematician Diophantus. A number of concepts bear this name:
以上来源于:Wikipedia
权威例句
Diophantine Problems Over Local Fields IHeights in diophantine geometry
Heights in diophantine geometry /
Enumerable sets are diophantine
Elliptic curves: Diophantine analysis
Diophantine Approximations and Value Distribution Theory
Enumerable Sets are Diophantine (Russian)
On Diophantine Complexity and Statistical Zero-Knowledge Arguments
On Diophantine Complexity and Statistical Zero-Knowledge Arguments
On Diophantine Complexity and Statistical Zero-Knowledge Arguments
1. Diophantine equation; prime; integer solution; Legendre symbol; congruence.
丢番图方程；素数；整数解；勒让德符号；同余。
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2. Diophantine equation; Positive integer solution; congruence; Recurrent sequence.
丢番图方程；正整数解；同余；递归序列。
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3. An elementary proof of the Diophantine equation (the equation abbreviated) is given by...
运用递推序列法，给出丢番图方程(方程序略)的一个初等解法。
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4. On the diophantine equation is the number one branch, it has a long history and rich content.
不定方程是数论的一个分支，它有着悠久的历史与丰富的内容。
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5. The method does not need solve the Diophantine equation, but reduces the computation of the algorithm.
这种方法无需求解丢番图方程，减少了控制算法的计算量。
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6. Three century Diophantine one of the outstanding contribution that Greece algebra simplify, simplify algebraic created.
三世纪的丢番图的杰出贡献之一，就是把希腊代数学简化，开创了简化代数。
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7. An elementary proof of the Diophantine equation (the equation abbreviated) is given by using recursion sequence method.
运用递推序列法，给出组合数丢番图方程(方程序略)的一个初等解法。
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8. Chapter five presents the modified ABS algorithms for solving linear overdetermined linear Diophantine equations and inequations.
第五章给出了求解超定线性丢番图方程组和不等式组的修正abs算法。
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9. Chapter four gives ABS algorithms for solving linear Diophantine inequations and their application in integer linear programming.
第四章给出了求解线性丢番图不等式组的ABS算法及其在整线性规划中的应用。
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10. The advantages of the method are that it does not need solving the equation of Diophantine, and reduces the complexity of the algorithm.
这种方法的优点在于无需求解丢番图方程，减少了控制算法的计算量。
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11. In this paper we study systems of Diophantine inequalities and equations with prime Numbers. We improve previous results by more delicate estimates of exponential sums.
本文研究了和素数有关的方程组和不等式组。通过更细致的指数和估计，我们改进了以前的结果。
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12. The security of these new cryptosystems depends on some NP-complete problems in the theory of Diophantine equations and on the difficulty of large number decomposition.
这些体制的安全性依赖于求解丢番图方程中的一些NP完全问题和大数的素因子分解的困难性。
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13. Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.
丢番图方程是数论中一个十分重要的研究课题，与代数数论、组合数学、代数几何等有密切联系。
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14. By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
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15. Using the theorem of linear Diophantine equations and the Chinese remainder theorem, we have constructed a class of trap-door knapsack public-key cryptosystems, which have a better security.
利用不定方程理论及中国剩余定理，我们设计了一类陷门背包公开钥密码系统，它们具有更好的安全性。
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16. In chapter three, the DLU and IILX algorithms for linear Diophantine equations are given based on the ABS algorithms. Corresponding properties, complexity and their application are discussed.
第三章在ABS算法的基础上给出了求解线性丢番图方程组的整隐式LU算法和整隐式LX算法，讨论了相应的ABS性质，并讨论了复杂性分析及其应用。
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17. In chapter three, the DLU and IILX algorithms for linear Diophantine equations are given based on the ABS algorithms. Corresponding properties, complexity and their application are discussed.
第三章在ABS算法的基础上给出了求解线性丢番图方程组的整隐式LU算法和整隐式LX算法，讨论了相应的ABS性质，并讨论了复杂性分析及其应用。
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Diophantine
