The function f in the y=f(x) equation that is behind that graph is how scalable your application is.
这个y=f(x)方程的图像所显示出来的f函数，就是你的应用的伸缩能力。
And then we plugged into the formula of df z to express df over dz, or partial f, partial z with y held constant.
然后代入df的表达式中，表示出df与dz的关系,也就是y不变时的df/dz，或者是∂f/∂
Remember, partial f, partial x was obtained by y That means I am slicing the graph of f by a plane that is parallel to the x, z plane.
要记得，在这里的fx中,是作为常量保持不变的。，looking，at，the，situation，where，y，is，held，constant。,这是我用一个平行于xz坐标系的平面,横截了f，所得到的图形。
y This is not compatible with a constraint, but we don't care. So, that's the guy that we compute just from the formula for f ignoring the constraints.
z恒定，先不管限制条件。，Y，and，z，are，held，constant。，And，，we，forget，the，constraint。,它和限制条件是不相容的，先不管，那这些就是,忽略限制条件时，由公式计算而得的结果。
OK, so this one means we keep y constant, and partial f over partial u with v held constant, similarly.
这个的意思是，保持y恒定，而这个的意思是，保持v恒定。
z I do F dot n. That just gives me the z component which might involve x, y and z.
把F和n做内积，于是得到,它由x，y，z组成。
So, let's do our first example. Let's say I give you a function f = -y because it doesn't depend on x.
让我们举出第一个例子，给出一个函数,它看上去有点奇怪，f，=，-y。，OK，，so，it，looks，a，little，bit，silly,因为它跟x无关。
We know that f sub x and f sub y are the slopes of two tangent lines to this plane, two tangent lines to the graph.
我们知道fx和fy是,曲面上两条切线的斜率。
What I'm integrating to is f of x of t and y of t.
我积分的是f，y
Suppose f of x, y, z equals k1, that is my equation, s1 and it gives me a solution s1.
假设我的方程是这样，然后给出了一个解。
Well, f is one when negative y is one.
当f=1时，-y是。
Namely, let's say that you have a function maybe of three variables, x, y, z, df = fxdx+fydy +fzdz then you would write df equals f sub x dx plus f sub y dy plus f sub z dz.
即是说，如果你有一个,含自变量，x，y，z的函数，那么。
So, that means that the value of F depends actually on y two different parameters, say,if the variables are x and y, or they can have any names you want.
这意味者F的值取决于,两个不同的参数x和，或者其他名字。
The power of linearity is F=k1+k2 if I come across f of x, y, z equals k1 plus k2, if it is a linear equation, I don't have to go and solve it all over again.
线性的威力是,一个方程，如果它是个线性方程，那么我就不用再去解他了。
We want to know whether a given vector field with components P, Q and R can be written as f sub x, f sub y and f sub z for a same function f.
要看向量场,能否写成，其中f是同一个函数。
C or F value, the X and Y coordinates of the center of a pixel at the up-left corner of the image, can be measured according to characteristic point in topographic map.
值为栅格图像左上角像素中心在地图上的X，Y坐标，其值可以根据特征点在地形图中的坐标量测获得。
This paper points out the basic reasons that the Fuyu Yangdachengzi(F Y) oil reservoir in the North of Songliao Basin has been polluted.
讨论了污染松辽盆地北部扶-杨油层的根本原因。
Through analyzing the motion and dynamics of free yarn segment (F. Y. s) in rotor spinning, the effect of both the F. Y. s's shape and the spinning parameters on twist distribution of the f.
通过对自由纱段的运动及受力分析，对自由纱段形态以及纺纱工艺参数对自由纱段捻度分布的影响进行了研究。
Huang Y Z, Feng Z W, Zhang F Z. Application of nitrapyrin in agriculture and environmental protection[J]. Soil & Environment, 2001,10(4):323-326.
黄益宗，冯宗炜，张福珠。硝化抑制剂硝基吡啶在农业和环境保护中的应用[J]。土壤与环境，2001，10（4）：323-326。
Object: A cDNA encoding farnesyl pyrophasphate synthase (FPS) that is one of key enzymes in the synthesis of triterpene saponins from Panax notoginseng (Burkill) F. H. Chen ex C. Y. Wu & K. M.
目的：对广西中药三七主要有效成分三萜皂甙合成关键酶法昵基焦磷酸合酶的基因进行体外扩增、克隆及序列分析。
Minors under the age of 16 are prohibited from starting business and engaging in individual business operation activities. , Y: f.
禁止不满16周岁的未成年人开业从事个体经营活动。
NIE J H, JIA C C, ZHANG Y F, et al. Fabrication of carbon nanotubes/copper composites using mechanical milling and spark plasma sintering[J]. Powder Metallurgy Industry, 2011,21(5):44-50.
[10]聂俊辉，贾成厂，张亚丰，等。机械球磨与放电等离子体烧结制备碳纳米管/铜复合材料[J]。粉末冶金工业，2011，21（5）：44-50。
NIE J H, JIA C C, ZHANG Y F, et al. Fabrication of carbon nanotubes/copper composites using mechanical milling and spark plasma sintering[J]. Powder Metallurgy Industry, 2011,21(5):44-50.
[10]聂俊辉，贾成厂，张亚丰，等。机械球磨与放电等离子体烧结制备碳纳米管/铜复合材料[J]。粉末冶金工业，2011，21（5）：44-50。
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