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You have extensive properties and intensive properties The extensive properties are the ones that scale with the size of the system.
广延量,和强度量,广延量的值,随着系统的规模变化。
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So what they do is, they're describing how these thermodynamic properties change, in terms of only state functions and state variables.
他们的作用是描述,随着状态函数和状态变量的变化，系统的热力性质如何变化。
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We have a table of the elements with properties varying periodically with atomic mass, so we compress all of that information and refer to it as the Periodic Table.
我们有一个元素表，其中的元素的特性,随着原子质量的改变而引起周期性的变化，所以我们将所有的信息精简,将它变成一个周期表。
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sort of takes the cyclicality out of earnings and you can see over history how that multiple has varied.
一定程度上在收益上避免了周期性的,而且你可以看到随着历史的进程,这个倍数发生了多大的变化。
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In just a moment the hearts are gonna start flowing from bottom to top and the cookies are gonna start moving left and right and they seem to be somewhat synchronized with the music, perhaps based on trial and error by the student who implemented this one.
刚刚那一刻，那些爱心们从底部上浮到顶部,饼干人则向左向右移动,它们似乎都随着音乐的律动而变化着，也许这是那个制作该动画的同学,不断尝试的结果。
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But the shifts in place and time, and in many I would say,throughout most human beings, there is a consciousness of both.
但是这会随着时间的推移和地点的变化而改变,而且就大多数而言,我要强调,绝大多数人,对这两者都会有一些意识
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Although, maybe it will be in a short period of time as we continue to grow.
可能随着公司发展,会有所变化。
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Think about how grossly things have changed starting in those earlier times.
想想随着时间流逝,情况发生了多大的变化
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I'm not sure how much this gonna be covered in the course, but I'm very interested in the way films are recieved by audience and the shock value that film can have be acceptable in film and through time how it changes.
我不知道这门课,会多大程度上和这个话题相关，但是我对此,电影被观众接受的方式和带给观众的冲击,和电影是如何随着时间不断变化的,很感兴趣。
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At every instant, it's got a location given by the vector R; R itself is contained in a pair of numbers, x and y, and they vary with time.
在每一个瞬时,它的位置由位矢 R 给出,R 本身包含了一对坐标值 x 和 y,并且它们都随着时间的变化而变化
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We looked at pressure change before, actually, in discussing the third law, the fact that the entropy goes to zero as the absolute temperature goes to zero for a pure,perfect crystal.
在讨论热力学第三定律的时候，我们讨论过压强变化,即对于纯净的完美晶体,随着温度下降到绝对零度熵也变成零。
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We know how the volume and temperature vary with respect to each other at constant pressure.
知道在恒定压强下,体积如何随着温度变化。
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What you see is that the radius changes with atomic number for constant electron number.
对于等电子数的粒子，离子半径随着,原子数的变化而变化。
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And that is that the energy levels themselves change with electron occupancy.
就是能级本身,也会随着电子的排布发生变化。
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They were bloody, although the actual amount would vary with the circumstances.
绝对是血腥残酷的,尽管具体伤亡数会随着环境不同而稍微变化
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As we'll discuss in the class, and most of you probably know this, your body weight is a function of how many calories you take in and how many calories you burn off through metabolic processes but also physical activity.
我们将会讲到,而且你们中的大部分人可能也知道,你的体重随着卡路里的摄取量,和代谢中的消耗量而变化,还跟肢体活动有关
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You could take weights on people measured over a period of many years and look at the variability over time in weight and then link it to things like heart disease and cancer, and I'll come back later and talk about the results of that particular study.
我们还可以得到人们很长一段时间里,每年的体重数据,观察体重随着时间变化的变动,并将观察结果与心脏疾病和癌症联系起来,我等一下会告诉大家这项研究的结果
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You know how pressure changes with temperature at constant volume if you know the equation of state.
如果你知道状态方程,知道在体积恒定的时压强如何随着温度变化。
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I did it myself using my data, but it would always look more or less like this-- slightly different positions if people use different estimates.
这幅图是我根据自己的数据画出来的，有效边界的图形大致就是如此-,随着人们采用不同的估计值,其位置会发生微小的变化。
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In other words, the order of taking the derivatives with respect to pressure and temperature doesn't matter And what this will show is that dS/dp dS/dp at constant temperature, here we saw how entropy varies with volume, this is going to show us how it varies with pressure.
换句话说,对温度和压强的求导顺序无关紧要,结果会表明,恒定温度下的，对应我们上面看到的，熵如何随着体积变化，这个式子告诉我们，熵如何随着压强变化。
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And the useful outcome of all that is that p we get to see how entropy changes with one of those variables in terms of only V, T, and p, which come out of some equation of state.
这样做的重要结果是,我们得到了熵随着V，T或者,其中一个变量变化的情况，这些可以从状态方程得到。
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Then the second derivative gives the change in entropy with respect to the variable that we're differentiating, with respect to which is either pressure or volume.
二阶导数给出熵,随着变量变化的情况，这些变量包括压强或者体积。
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As I mentioned before is one example on the risk for breast cancer in women, so you'd randomly assign half to following their usual diet, the other half to an intervention program where people are prescribed a low fact diet, given counseling and interventions from dieticians and things, and then you look to see what happens for risk as people go forward in time.
我之前提过,这例子研究的是,女性的乳腺癌发病率,你将随机选择其中一半人按一般习惯饮食,另一半人则参与一个干预计划,其中每人都要食用,由营养学家设计推荐的低脂肪菜单,然后再看随着时间推移,被试者的发病率是怎样变化的
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