记住，这些近似公式是线性近似。
Remember, these approximation formulas, they are linear approximations.
但是，如果你固定了一个点，就能得到线性近似。
这意味着向量，约等于…，因为用了线性近似，约等于。
U That means my vector u, well, approximately because I am using this linear approximation.
高阶近似的精度明显优于相应的线性近似的精度；
The high-order approximations perform much better than the corresponding linear ones.
但在阈值以上，解的短时行为也与线性近似解相近。
本文应用线性近似规化方法对汽油机的工作过程进行优化。
Optimization of gasoline engine working process is conducted by linear approximate programming method in this paper.
如果把这两个看做等价的，实际上，就是用函数的线性近似式来代替原函数。
And, if we set these things equal, what we get is actually, we are replacing the function by its linear approximation.
利用一个分段学习方案可保证学习控制总在有效线性近似区域内进行。
A segmented learning scheme is proposed to keep the learning only in the linear approximation region.
获得一个小信号线性近似的线性化操作进行非线性的TTC的控制系统。
The linearization operation was conducted for the nonlinear TTC control system to obtain a small-signal linear approximation.
这个研究结果为利用拟线性近似方法实现稳定电流场的快速反演打下了基础。
This study laid a foundation for using pseudo-linear approximate method to realize the rapid inversion of stable current field.
给出了分子流扩散方程的边界条件，推导出入口压力在线性近似下方程的解。
The molecule flow diffusion equation and the boundary conditions are given. The solution with linear approximation of entrance pressure is presented.
首先通过计算线性近似系统特征值的方法，给出了奇点o为局部中心点的判定条件。
Firstly, by computing the eigenvalues of linear approximation system, a critical condition which ensures odd point o is local center is obtained.
本文阐明无约束和有约束非线性问题的基本解法，并说明非线性规划的线性近似方法。
This article deals with the basic methods for solving unconstrained and constrained nonlinear problems. It describes also the linear approximation methods of nonlinear programming.
结果表明，这样产生的双线性模型能此线性近似模型在较宽的工作范围内精确地近似反应器的动态特性。
The results show that the reduced bilinear model developed can approximate the reactor dynamics more accurately than the linear one over a much wider range around the operating state.
同时也是一个强烈非平衡过程，线性近似不能很好地描述它，必须采用更强烈的损伤对于应力的依赖关系。
At the same time it is a non-equilibrium process, linear approximation can't describe it properly, a strong dependence of damage on stress must be taken on.
首先，从理论上讨论了各向异性介质中的反射和透射系数方程，给出了裂缝介质的线性近似反射系数公式；
There are two approximate reflection coefficients applied generally, and their differences are compared in order to attain the linear formula of azimuthal AVO inversion of P-wave.
在线性近似条件下，量子化了非线性薛定谔方程，用后向传播法数值求解了孤子源啁啾对量子光孤子的影响。
Based on the linearization approximation, nonlinear schrodinger equation is quantized, the influences of the soliton source chirp on quantum soliton is studied by using the back-propagation method.
采用传输线理论，在线性近似条件下推导出起因于输入电压的非对称和电路元器件非对称的纹波的解析表达式。
By using transmission line theory and linear approximation of the circuit, analytical expressions are derived for the ripple due to asymmetry of input voltages and circuit elements.
如果我们想更加精确一点，我们知道当t变化的时候，乘以导数就出现了，well, t, times, the, derivative, comes, in，这是函数变化量的线性近似。
If we want to be a bit more precise, we know that when we change by t, t that's for linear approximation to how the function changes.
神经元的本体，其作用近似于一种线性阀值器件。
The body of a neuron. Acts approximately as a linear threshold element.
神经元的本体，其作用近似于一种线性阀值器件。
The body of a neuron. Acts approximately as a linear threshold element.
世界是非线性的，线性只是其近似描述，混沌的发现表明：某些确定性非线性系统具有内在的随机行为。
The world is nonlinear, linearity is oly its approximate description. The discovery of chaos has showed that some deterministic nonlinear systems exhibit inner random behavior.
如果是不相关的，你们可以，用线性方程近似地表示它们。
And, even if they are not, maybe sometimes you can approximate them by linear formulas.
新的计算机集群上需要实现近似线性的缩放。
The new computer cluster on the need to achieve nearly linear scaling.
最后，在不同负荷的情形下，负荷与其对应电价的均值、标准差之间存在着一种近似的线性关系。
At last, the relations of load with average and root mean square of corresponding LMPs are approximately linearity in different load situations.
该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
这些因素的近似线性化虽然简化了分析过程，但所得结果可能与工程实际偏离较大。
The approximative linearization to factors, simplifying analysis process indeed, lead to the result that would possibly differ from the real fact.
通过乘以一个斜率转换因子，将具有近似线性特性的理想迟滞模型转化成实际的期望输出模型。
An ideal hysteretic model with approximate linear characteristics is transformed into an actual expected output model by multiplying a slope conversion factor.
通过乘以一个斜率转换因子，将具有近似线性特性的理想迟滞模型转化成实际的期望输出模型。
An ideal hysteretic model with approximate linear characteristics is transformed into an actual expected output model by multiplying a slope conversion factor.
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