我们已经写出了一个微分方程。
你们有些人也许已经，解出了微分方程。
来看一下这个约束量的微分。
Well, let's look at the differential — — of this constraint quantity.
我们可以用微分，就像这样，也可以用链式法则。
Well, we could use differentials, like we did here, but we can also keep using the chain rule.
这是整个机理的完整的微分方程，不是它的一部分。
This is the full differential equation for the full mechanism. Not just one part of it.
几个微分方程。
这个就是微分。
要完全了解本课程，应必备微积分和微分方程的知识。
Calculus and Differential Equations are highly recommended for full understanding of the course.
有限的微分区——t1上4个，t2上8个。
Limited micro-partitioning - Four partitions on T1, 8 on t2.
它们唯一共同之处就是,它们都被叫作一阶微分算子。
The only thing they have in common is that both are what's called a first order differential operator.
看来大部分人喜欢微分法，但这不是说微分法就更好。
OK. Majority vote seems to be for differentials, but it doesn't mean that it is better.
微分区和虚拟化。
我们给LPAR分配全内核值和微分区的半内核值。
We assigned whole-core values as well as micro-partitioned half-core value to the LPAR.
这个是符号化的向量算子，其中它的分量是偏微分算子。
That was this symbolic vector operator in which the components are the partial derivative operators.
其他的感应装置是基于微分迁移率分析方法和红外探测。
The other sensors will be based on ‘differential mobility analysis’ and infrared detection.
再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。
And just to tell you again that is a strange partial differential equation relating these two vector fields.
那么对于dA，我们必须谨慎地使用乘法法则，或用偏微分。
Well, then, dA, so we had to use the product rule carefully, or we use the partials.
这种控制器的设计结合了微分几何理论及变结构控制理论。
Design of these controllers combines the differential geometry theory with the variable structure control theory.
这个例子展示了lsode的用法，这是一个常见的微分方程解算器。
This example demonstrates the use of lsode, an ordinary differential equation solver.
微分区是一个强大的特性，它允许您最大效率地利用处理器资源。
Micro-partitioning is a powerful feature that allows you to leverage your processor resources with maximum efficiency.
当你试图接住一个飞行中的球时，是否会通过解微分方程来确定自己的位置？
Do you position yourself to catch a ball by solving differential equations in your head, on the fly?
然而，在确定所需DB 2许可数量时，需要理解和考虑微分区的优点。
However, you need to understand and account for the benefits of micro-partitioning when determining the number of DB2 licenses you need.
在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。
In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.
第一种就是昨天讲的微分法，希望你们能明白，不明白也没关系，现在可以认真听一下。
Let me start with the one with differentials that hopefully you kind of understood yesterday, but if not here is a second chance.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
结果还显示，当给一个JVM分配 2.5 个以上内核时，微分区开销很小。
Results also show that micro-partitioning overhead is small when 2.5 cores or more are assigned to a single JVM.
相反，为了证明“红色效应”，我应该使用一张一个老男人用红笔求解微分方程系统的图像。
Instead, to demonstrate the "red effect" I should have used an image of an elderly man solving a system of differential equations using a red pen.
在接下来的一年里我不得不上额外的几门课程，我选择在接下来的暑假修完近世代数和微分方程。
I had to take a few extra courses during the next year, and I chose reading courses in modern algebra and differential equations for the summer afterwards.
作为引子，你们可能已经知道了，一元微积分里面的一个小把戏，也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
应用推荐