也就是说，如果你可以解出来或者去除掉这些变量的点，就是临界点，当你有这样的问题要解决的时候，我们找到临界点了，它们一定是最大值点或者最小值点吗？
That means if you were able to solve and eliminate the variable that would be a critical point. When you have the same problem, as we have critical points, are they maxima or minima?
所谓上限，我们指的是您可以使用并且目前为止实际用于系统的内存的最大值或最高使用量。
By ceiling, we mean the highest amount or maximum value of, for example, memory you can use and still make practical use of the system.
当第一次在最大值和我们差距之间选择时，把价值最大化，我们会得到资本，这不会变。
When first choose between maximum of our gap x, maximize the value of the cashiers, and we will take the cashiers, that will not change.
为简单起见，我们只说我们的任务是报告每个文件的MDU最大值，当然还有其它东西(实际的处理远比这个要复杂)。
For the sake of simplicity, lets just say that, amongst other things, our task was to report the maximum MDU found for each file (the actual processing is far more complicated than this).
为了计算每行适用字符数的最大值，我们使用浏览器的默认设置和风格表单提供的默认排版设置。
To compute the max. number of characters per line we have used default setting of the browser as well as default typographic settings provided by the style sheets.
你只需弄清哪个是变量，哪个不是，下次课会涉及更多的内容，我们还会学习，多变量函数的最大值和最小值。
You just have to keep remembering which one is a variable, and which one isn't. OK, so more about this next time, and we will also learn about maxima and minima in several variables.
电子的概率，达到最大值，我们把它标记成r下标。
Where the probability of actually finding an electron there mp is going to be your maximum probability.
我们在计算中运用这些数字的最大值，这样的安排低估了1931—1933年间的舢板运输量，而且易于推倒假设。
Our calculations employ the largest of these figures, a tactic that lowers the estimated junk inflow for 1931-33 and thus tends to undercut the working hypothesis.
它的默认值是 Integer.MAX_VALUE，将这个参数设置为比较大的值可以提高索引效率和检索速度，由于该参数的默认值是整型的最大值，所以我们一般不需要改动这个参数。
The default value is Integer.MAX_VALUE. Large values are better for batched indexing and speedier searches.
此外，当我们在测试场景中确定了上限之后，我们发现，频繁地接近或超出建议的最大值对于整个系统来说确实是一个问题。
In addition, when we found the ceiling in a test scenario, we realized that often reaching or exceeding a recommended maximum value is really only a concern when you look at the entire system.
由于图像是复合的(每一位面分别表现并且图像是合成的)，因此我们可以除以每一位面，这样增加的最大值将小于255。
Since the image is a composite (i. e. each plane is represented separately and the images are combined), we can divide each of the planes, so that the maximum value of the additions is less than 255.
这个角度永远不会很大，当我们算θ最大值时,你会看到,我们将会得到一个很,好的简谐震荡近似值。
The angles will never be very large, as you will see later when we calculate theta maximum, and so we know that we're going to get a simple harmonic oscillation to a very good approximation.
由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。
Using separation theorem of convex set and the time terminal value function equation, we obtain the determining method of optimal terminal time as well as the Maximum principle.
我们将做什么是可能的最大值。
会有一个值与其对应，现在我们想要找出满足，重量约束条件的a的最大值子集。
And now we want to find the subset of a that has the maximum value, subject to the weight constraint.
虽然我们已在光照方程式中加入了混合衰减因子，但是还需要表面的最大值光照数量。
Even with the attenuation factor blending into our lighting equation, still, the maximum amount of light a surface receives is (N. L).
首先，运用拇指跳指法弹奏整支乐曲，不难发现，巴赫设置了一个拇指交叉的最大值，这样我们就有充足的机会来练习他们——显然，这是一个匠心独运的构想。
First, play the entire piece using to. Note that Bach inserted a maximum number of thumb crossings so that we have plenty of chances to practice them - obviously an intentional construct.
我们已能够通过比较经历过常规应力解除芯片来确认被改进芯片强度的平均、最小、最大值。
We have been able to confirm that average, minimum and maximum values for die strength could be improved compared with die that underwent the conventional stress relief.
总结一下，我们必须定义仪表量程的最大值和最小值。
To summarize, we must specify a low and a high value to define the range of an instrument.
求所有插槽返回值的最大值，这样的信号结果才有点意思。为些，我们创建一个自定义合并器如下。
A more interesting signal result would be the maximum of the values returned by any slot. To do this, we create a custom combiner that looks like this.
我们也举出了三个有趣的例子，以展示风险敏感最大值原理的应用。
At the last in this chapter, we give three interesting examples to show the applications of our risk-sensitive maximum principle.
方法为了避免浮点数溢出，我们由浮点的最大值作为输入参数，然后根据积分级数N计算出积分步长。
Methods To avoid floating point overflow, we calculate the input value according to the maximum of floating-point number and get corresponding integration step at a given level N.
针对遗传算法的随机性，我们进行四次运算，分别取各个参数的最大值作为优化结果；
In view of genetic algorithm's randomness, we carry on four operations, takes each parameter the maximum value to take the optimized result separately;
采用与第三章类似的方法，我们得到了部分可观测的风险敏感最优控制问题的一般随机最大值原理。
By the similar method used in chapter 3, we get the general stochastic maximum for this kind of partially observed risk-sensitive optimal control problem.
作为最大值原理的应用，我们研究了一类部分可观测的递归线性二次最优控制问题。
As an application of the maximum principle, one kind of partially observed linear quadratic recursive optimal control problem is also studied.
作为部分可观测信息的特例，我们给出了完全可观测的风险敏感最优控制问题的一般最大值原理。
As a special case of partial information, the general stochastic maximum principle for this kind of fully observed risk-sensitive optimal control problem is also obtained.
作为部分可观测信息的特例，我们给出了完全可观测的风险敏感最优控制问题的一般最大值原理。
As a special case of partial information, the general stochastic maximum principle for this kind of fully observed risk-sensitive optimal control problem is also obtained.
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