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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.

1 vote
0 answers
51 views

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 …
keagan_callis's user avatar
1 vote
1 answer
52 views

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 …
keagan_callis's user avatar