;
Learning starts with a question. Asking is a signal for knowledge request!
First time here? Checkout the FAQs!
x

*Math Image Search only works best with SINGLE, zoomed in, well cropped images of math. No selfies and diagrams please :)

0 like 0 dislike
230 views
What does the residue theorem state?
in Mathematics by Platinum (101k points) | 230 views

1 Answer

0 like 0 dislike
Best answer
Suppose that \(C\) is a simple closed contour contained in the interior of a simply connected domain \(D\). If \(f\) is analytic everywhere on and within \(C\), except possibly for at a finite number of isolated singularities (call them \(\left.z_{1}, \ldots, z_{n}\right)\) inside \(C\), then
\[
\oint_{C} f(z) d z=2 \pi i \sum_{k=1}^{n} \operatorname{Res}\left(f(z), z_{k}\right)
\]
by Platinum (101k points)

Related questions

0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Feb 20, 2022 in Mathematics by MathsGee Platinum (101k points) | 1.4k views
0 like 0 dislike
1 answer
asked Jan 24, 2022 in Data Science & Statistics by MathsGee Platinum (101k points) | 363 views
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Sep 21, 2021 in Data Science & Statistics by MathsGee Platinum (101k points) | 235 views
0 like 0 dislike
1 answer
asked Sep 21, 2021 in Data Science & Statistics by MathsGee Platinum (101k points) | 295 views
1 like 0 dislike
1 answer
asked Aug 17, 2021 in Mathematics by MathsGee Platinum (101k points) | 259 views
2 like 0 dislike
1 answer
2 like 0 dislike
1 answer
asked Aug 17, 2021 in General Knowledge by MathsGee Platinum (101k points) | 288 views
2 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Jun 26, 2021 in Mathematics by MathsGee Platinum (101k points) | 354 views
0 like 0 dislike
1 answer
asked May 22, 2021 in Mathematics by MathsGee Platinum (101k points) | 340 views
0 like 0 dislike
1 answer
1 like 0 dislike
1 answer
1 like 0 dislike
0 answers
asked Jun 1, 2021 in Mathematics by Claudia Wooden Status (3.0k points) | 273 views
1 like 0 dislike
1 answer
1 like 0 dislike
0 answers
0 like 0 dislike
1 answer
asked Feb 20, 2022 in Mathematics by MathsGee Platinum (101k points) | 277 views

Join MathsGee Q&A, where you get instant answers to your questions from our AI, AstraNova and verified by human experts. We use a combination of generative AI and human experts to provide you the best solutions to your problems.

On the MathsGee Q&A, you can:

1. Get instant answer to your questions

2. Convert image to latex

3. AI-generated answers and insights

4. Get expert-verified answers

5. Vote on questions and answers

6. Tip your favorite community members

7. Join expert live video sessions (Paid/Free)

8. Earn points by participating

9. Take a course

10. Enjoy our interactive learning resources


Posting on the MathsGee Q&A

1. Remember the human

2. Act like you would in real life

3. Find original source of content

4. Check for duplicates before publishing

5. Read the community guidelines


MathsGee Q&A Rules

1. Answers to questions will be posted immediately after moderation

2. Questions will be queued for posting immediately after moderation

3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.


MathsGee Q&A


Acalytica


Social Proof


Web Analytics


Courses