Surface low pressure areas tend to pull themselves
together, resulting in tight, almost pointlike cyclones
and sharp, almost one-dimensional weather fronts,
hence strong winds. They are associated with rising
air, hence clouds and bad weather.
Surface high pressure areas tend to spread out, so
they tend to be large and diffuse, with light winds.
They are associated with descending air, hence clear
skies. They are of more interest to weather mavens
than to the general public.
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Real weather is very very complicated. You can be
sure that no simple theory fits the facts very well.