How to get all solutions to e^x=1
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09-12-2024, 04:08 AM
Post: #1
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How to get all solutions to e^x=1
I'm having trouble trying to find how to get the Prime to fully solve e^x=1. Complex is on, Principal is off.
When I try solve(sin(x)=0), I get {n_0*π}, which I expect. However, when I try solve(e^x=1), I get {0} instead of something like {2*i*n_0*π}. (For comparison, the HP 50g solves e^x as 2·i·π·n1.) Is there a different function I should use? |
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09-16-2024, 04:34 AM
Post: #2
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RE: How to get all solutions to e^x=1
I downloaded the source code for Giac and took a look. Looks like the n_0 approach is only used for trigonometric functions, so I'm not sure this is possible without a change to the CAS.
I hacked in a solution in solve.cc: Code:
It works, though its output can be unwieldy for non-simplistic cases. (I suppose this could be true of the trig functions as well.)
I think this could be a nice approach, though this behavior change could be surprising. It might need a separate configuration setting and other work for it to be generally acceptable. |
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