查询词典 Jacobi method

Jacobi It is true that Fourier had the opinion that the principal object of mathematics was public use and the explanation of natural phenomena; but a philosopher like him ought to know that the sole object of the science is the honor of the human spirit and that under this view a problem of numbers is worth as much as a problem on the system of the world.

Fourier 确实有过这样的看法，认为数学的主要目的是公众的需要和对自然现象的解释；但是像他这样一个哲学家应当知道，科学的唯一目的是人类精神的光荣，而且应当知道，在这种观点之下，数〔论〕的问题和关于世界体系的问题具有同等价值。

Jacobi",,"It is true that Fourier had the opinion that the principal object of mathematics was public use and the explanation of natural phenomena; but a philosopher like him ought to know that the sole object of the science is the honor of the human spirit and that under this view a problem of numbers is worth as much as a problem on the system of the world.

"，"Fourier确实有过这样的看法，认为数学的主要目的是公众的需要和对自然现象的解释；但是像他这样一个哲学家应当知道，科学的唯一目的是人类精神的光荣，而且应当知道，在这种观点之下，数〔论〕的问题和关於世界体系的问题具有同等价值。

Sublimbata Jacobi was put forward based on the nidus length and the egg production.

产卵是该虫的重要危害方式，受害林木新梢长度平均抑制率达26.9％。

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

Thirdly,we discuss the invarant factors of this kind of matrix,and obtainthe normal form of Jacobi matrix under the sense of symplectic similar.

再次，讨论这种矩阵的不变因子，得出它们若不是奇函数则必定是或偶函数。最后给出了哈氏系统Jacobi矩阵在辛变换之下的标准形。

The result shows that this algorithm not only has good numerical stability, but also can avoid iteration and solution of the Jacobi matrix.

结果表明，该算法不仅具有较高的数值稳定性，而且避免了迭代运算或Jacobi矩阵的求解。

This design is model-free,based directly on pseudo Jacobi matrix derived on-line from the input and output information of the system.

该算法将其他回路的输入对于某一回路输出的耦合影响视为可测干扰，通过神经网络对这部分干扰进行估计、补偿，再结合滑模控制算法实现系统解耦。

Secondly,we prove that there exists one to one correspondence between the charac-teristic subspace of Jacobi matrix of Hamiltonian system and that of its conjugatematrix.

其次，证明哈氏系统Jacobi矩阵的特征子空间与其共轭矩阵的特征子空间是一一对应的。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

If we know the exact value of ψ_m, we will have, for integers ψ_m, a deterministic primality testing algorithm which is not only easier to implement but also faster than either the Jacobi Sum test, the elliptic curve test, or the AKS algorithm.

如果知道ψ_m的准确值，那么对小于ψ_m的整数N，我们就有一个确定性素性测定算法，它不仅容易实现而且比Jacobi-Sum算法、椭圆曲线素性证明算法和AKS算法速度都要快。

It's bell can reach over a meter in diameter.

它的身体最大可以达到直径1米多。

Now they are overdue and I shall have to pay a fine.

现在他们过期了，我不得不付罚款。