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where q represents PV, $ represents geopo-tential height, and ' represents stream function, whereas a is the Earth's radius, f is the Coriolis parameter, k = Rd/Cp, $ is longitude, and A is latitude. Given the distribution of q, the lateral boundary of $ and along with 0 on the upper and lower boundaries, the distribution of $ and ' can be solved. Therefore, the nondivergent wind and potential temperature can also be obtained through the following two relations:

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