And what I want to point out here is this angular dependence for the p orbitals for the l equals 1 orbital.
这里我要指出的是,l等于1的p轨道随角度的变化。
That for an ideal gas it has to be the case that there's no volume dependence of the energy.
我们可以直接推导这个结果,即证明对理想气体,内能和气体体积无关。
This is one of the primary strategies that Milton develops, especially in the first two books of Paradise Lost, as a kind of defense against his dependence on classical literature.
这是弥尔顿发展出的早期策略之一,尤其是在《失乐园》的前两册书中,这似乎是在反驳他对古典文学的依赖。
So we do, in fact, have a dependence on what the angle is of the electron as we define it in the orbital.
实际上当我们定义电子在这个轨道,它的波函数的确是和角度有关的。
The notion of autonomy, the notion of the freedom of the poem from any kind of dependence in the world, is something that is very easy to undermine critically.
自主的观念,世界上各种,独立的诗的自由,很容易被破坏。
This property of cells in culture is called anchorage dependence - that the cell needs to be anchored to a surface in order to function properly.
体外培养细胞的这种特性,称为贴壁依赖性--,意思是细胞必须固定在,某个表面上才能正常生长
Man is born in a state of the most helpless dependence on other people."
人生来就处在一个极端无助的,依赖别人生存的环境中"
So this idea that the human being is a mixture of clay, Captures that paradoxical mix of sort of earthly and divine elements, dependence and freedom that marks the human as unique.
这便是人类是黏土混合物,具有世俗和神圣因素的奇特混合,同时具有依赖性和独立性就是人类特别之外。
But, I've dropped that assumption and now I'm going on to assuming that they're taking account of their dependence on each other, taking account of their different expected returns, and taking account of their different covariances and variances; so that's what we've got.
不过我已经放弃了那个假定,我现在假定,我们需要考虑它们彼此间的相关性,它们有着不同期望收益,不同的协方差和方差;,这是我们所学到的。
Now I'm not-- again, this is the kind of detail I'm not expecting you to remember, but it's just an exemplar of this broader issue about how dependence on certain foods leads to nutritional deficiencies that have to get remedied somehow or else people have health problems.
现在,我不是,我并不希望你们能记住这些细节,它们不过是作为一个例子来拓宽,由于依赖某种食物而导致营养不良的问题,要采取弥补措施,不然会引起健康问题
So they do have an angular dependence that we're talking about.
所以它们是随角度变化的。
And the first law says, well heat and work are different forms of energy, and we can add them, and the path dependence of these two things is somehow cancelled in the fact that we have this internal energy.
热力学第一定律说,热和功是能量的不同表现形式,我们可以把它们加起来,它们与路径相关的部分相互抵消,我们就有了内能。
Pressure has dropped out of the picture completely here. So there is no p dependence here.
理想气体的H只是温度的函数,这对于真实气体来说是。
Only a temperature dependence.
仅仅依赖于气体温度。
The volume dependence.
依赖关系。
And the significant difference between s orbitals and p orbitals that comes from the fact that we do have angular momentum here in these p orbitals, is that p orbital wave functions do, in fact, have theta and phi dependence.
轨道和p轨道的,不同之处在于,在p轨道,波函数,随theta和phi变化。
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