本文利用椭圆算子的平方根所生成的热核给出了Hp空间的极大函数刻画。
We characterize Hp Spaces associated with square root operator by using maximal functions.
通常，你只会在这两种情况下用替代法，或者这可以极大地简化被积函数，或者就是这可以简化，积分的上下限。
I mean, normally, you would only do this kind of substitution if either it simplifies a lot the function you are integrating, or it simplifies a lot the region on which you are integrating.
但这种办法并不普遍，只能用于二元函数，来判断是极小值点、极大值点还是鞍点。
I should say that is for a function of two variables to try to decide whether a given critical point is a minimum, a maximum or a saddle point.
如果想知道是极大值还是极小值，那就只需用常识，或者直接比较各点的函数值？
So, if you want to know if something is a maximum or a minimum, you just have to use common sense or compare the values of a function at the various points you found. Yes?
其中一个是找出一个函数的极小值，极大值，这个函数的变量是相关的，这种方法称为拉格朗日乘数法。
One of them is to find the minimum of a maximum of a function when the variables are not independent, and that is the method of Lagrange multipliers.
这极大地限制了阶乘函数的可能范围。
This limits greatly the possible range of your factorial function.
函数和方法的默认参数极大地减少了需要创建的重载方法数量。
Default arguments on functions and methods greatly reduce the number of overloaded methods you need to create.
总之，测试函数可以极大地增强编写测试的简便性。
Above all, test functions vastly enhance what might be called the writability of tests.
函数性语言极大地影响了编程的思考方式。
Functional languages can dramatically impact the way you think about programming.
与尝试用正则表达式和字符串函数手动完成此工作相比，使用 filter_var()函数将极大地减少编码量。
The filter_var() function greatly reduces the amount of coding compared to if you were to try to do this manually with a regular expression and string functions.
数学指出函数的极大值往往在最不稳定的点取到，人追求极端就会失去内心的平衡。
Mathematics is pointed out that the maximum of the function is often in the most unstable points to get, people pursuit of extreme balance will lose heart.
研究发现，当蚌密度在每立方米6.25个到每立方米31.25个的区间内，时效模型呈具有极大值的抛物线函数。
Statistics showed that the time-effect models are parabola functions with maximum values when the mussel population density ranges from 6.25 to 31.25 per cubic meter.
此算法基于极大似然算法将等距线阵均分为三个子孔径，从而简化了估计函数，也使计算量大大减少。
Base on the maximum likelihood algorithm, the algorithm divides an array into three subaperture and predigests the estimate function and reduces the compute quantity.
时窗外数据熵极大提高了接收函数的分辨率。
The maximum entropy of the data outside window increases the resolution of receiver function.
整个程序可以自由的使用静态变量和不可重入的函数，极大的简化了编程和调试，从而增加了性能。
The entire application is free to use all the static variables and non-reentrant library functions it wants, greatly simplifying programming and debugging while increasing performance.
相对于传统的概率分布估计算法，并行的概率分布估计算法在解决连续函数优化及实时优化问题时能提供极大程度的效率提高。
In contrast to traditional estimate distribution algorithm, parallel EDAs has greatly improved the efficiency when optimizing continuous functions and real time questions.
文章考虑了极大弹性函数的构造问题。
In this paper, we discuss the problem on construction of resilient functions with maximal resiliency.
同时，拟合方法采用目前非常成熟的多项式最小二乘拟合。从而不仅能控制拟合函数的复杂性，而且使分段拟合的补偿区间数量达到最少，极大地降低了计算成本。
The paper adopts the method of multinomial least squares as fitting to make the fitting function be simple and the amount of compensation interval be least, reduces the calculation cost.
极小极大原理论述的是函数的极小极大值与极大极小值之间的关系。
Minimax principle deals with the relation between the minimax value and maximin value of a function.
采用非线性滤波方法处理图像去噪问题时，阈值参数的选取和滤波器函数的使用对去噪图像的效果影响极大。
When images are denoised by means of nonlinear filtering algorithms, the selections of the threshold parameter and the filter function tend to have great effects on the quality of the denoised images.
为此，研究了运输产品市场选择的用户效用极大化原理，建立了运输产品服务水平量化标定的效用函数；
The paper introduced the utility function that can calibrate the service level of transportation products on the basis of the maximum principle for user utility in selecting transportation products.
在极大值函数的有效域为非空凸集的条件下研究了次微分，并给出它的结构表达式。
And the expression of its subdifferential is developed in the case that the effective domain of the sup-type function is a non-empty convex set.
本文利用函数某处的各阶导数的特点，以确定函数在该处的单调、极大值、极小值、拐点及浙近线等。
With the features of a function's derivatives at a point, this paper discussed some problems of the function, such as monotonicity, local maximum, local minimum, inflection point, and asymptote.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
利用凝聚函数一致逼近非光滑极大值函数的性质，将非线性互补问题转化为参数化光滑方程组。
By using a smooth aggregate function to approximate the non-smooth max-type function, nonlinear complementarity problem can be treated as a family of parameterized smooth equations.
对求解最优化问题的极大熵方法中的关键函数——K- S函数的一致不变凸性作了讨论，得出“K-S函数是一致不变凸的，则一定是不变凸的”结论。
It was discussed that the consistent invexity of K S function which is the key function used by maxinum entropy method in optimization problems solution.
在第8章，我们将讨论两个函数极小极大不等式及其对变分不等式和不动点理论的应用。
In Section 8, we shall discuss two-function minimax inequalities and their applications to variational inequalities and to fixed-point theory.
由极大似然估计可以得到单因子利率模型的边际密度函数。
The marginal densities of single-factor interest rate models can be obtained by maximum likelihood estimation.
本文提出组合逻辑函数简化的动态极大复盖法。
Dynamic max-covering method for simplifying combinational logic functions is presented in this paper.
提出了一类解极小极大问题的熵函数法，这种方法也可用来解线性或约束优化问题。
A method for solving minimax problem is presented, which also can be used to solve linear or constrained optimization problems.
应用推荐