How to calculate various meteorological indicators in weather forecast, is there a function formula?

There is a formula, which is very annoying, and then the data measured in the field is substituted into the formula to calculate it.

It's annoying to learn partial differential equations in Meteorological University. Of course, the meteorological observatory will use computers to make equation models. You only need to input the measured data, and the final calculation may only be a probability, which may not be accurate and may be scolded by the people. .