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For questions on writing functions (pure or using Set/SetDelayed) for any purpose, including the features that may be incorporated in those functions, such as options, patterns and conditions.
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Defining a function in neighborhoods of points
I want to define a function g[s] such that g[s_]:=f[s] in a (arbitrarily small open) neighborhood around s1 and g[s_]:=0 in a (arbitrarily small open) neighborhood around s2.
How do I do that? It loo …
1
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How to continually simplify derivatives of function defined in a system? [closed]
For example, if I input something like
b'[t_] = a[t];
a'[t_] = -Sin[b[t]];
a''[t]
it outputs just a''[t].
Is there a way to get Mathematica to always simplify any derivatives of a and b to expressio …