WOLFRAM COMMUNITY
Connect with users of Wolfram technologies to learn, solve problems and share ideas
Join
Sign In
Dashboard
Groups
People
Message Boards
Answer
(
Unmark
)
Mark as an Answer
WOLFRAM COMMUNITY
Dashboard
Groups
People
0
|
3001 Views
|
1 Reply
|
0 Total Likes
View groups...
Follow this post
Share
Share this post:
GROUPS:
Mathematics
Physics
Mathematica
incorrect calculation of Log[Exp[...]]
ChiaWei Tu
ChiaWei Tu
Posted
11 years ago
Log[Exp[(5*I*\[Pi])/3]] - (I*5 \[Pi])/3]
It get the answer -2?i. However, it must be zero. And it also cause the incorrect answer for Residue
Residue[Log[z]/(1 + z^3), {z, E^((I*5 \[Pi])/3)}]
How do I modify my input?
POSTED BY:
ChiaWei Tu
Reply
|
Flag
1 Reply
Sort By:
Replies
Likes
Recent
0
Sean Clarke
Sean Clarke, Wolfram Research
Posted
11 years ago
"Log[Exp]" does not always equal "a" even though Log and Exp are supposed to be inverse functions. This is because of
complex branch cuts.
In fact, "Log[Exp]" can be off from "a" by a constant factor, in this case a multiple of "2 Pi I".
POSTED BY:
Sean Clarke
Reply
|
Flag
Reply to this discussion
in reply to
Add Notebook
Community posts can be styled and formatted using the
Markdown syntax
.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Publish anyway
Cancel
Reply Preview
Attachments
Remove
Add a file to this post
Follow this discussion
or
Discard
Group Abstract
Be respectful. Review our
Community Guidelines
to understand your role and responsibilities.
Community Terms of Use
Feedback