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2

Any relationship or correlation? That is quite a broad standard. Invoking Tobler's first law of geography, there is a relationship. I would question if there is such a thing universally, but there are some instances that we can see an overlap. For example, many deserts receive plenty of sunlight, but observe little rain. One of the first things that comes to ...

0

The Hadley cell is a giant machine made of air. At the business end at the equator the solar zenith tracks by every day at supersonic speed, and heats the surface layer of the atmosphere while it races by. Here there is no issue of planetary rotation induced Coriolis force to contend with, so the heated and moisture rich air increases in volume and falls in ...

3

First, let's acknowledge this fact: $$c_p=R+c_v \tag{1}$$, where $R$ is the specific gas constant. This means that $x=R/c_p$. Rearranging the equation, we can see that $$P+I=\int{c_p\left(\frac{P}{P_{00}}\right)^{R/c_p}\Theta dM}\tag{2}$$ Notice that $\left(\frac{P}{P_{00}}\right)^{R/c_p}$ is the Exner function. By extension,$$P+I=\int{c_p T dM}\tag{3}$$ If ...

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