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

Math Image Search excels with single, zoomed-in, well-cropped math images (jpg/png); avoid selfies/diagrams; view demos for Math Image Search Demo and Ask a Question Using Text/Image Demo.

0 like 0 dislike
169 views
What does the residue theorem state?
in Mathematics by Platinum (93,241 points) | 169 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 (93,241 points)

Related questions

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 (93,241 points) | 1,257 views
0 like 0 dislike
1 answer
asked Jan 24, 2022 in Data Science & Statistics by MathsGee Platinum (93,241 points) | 264 views
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Sep 21, 2021 in Data Science & Statistics by MathsGee Platinum (93,241 points) | 187 views
0 like 0 dislike
1 answer
asked Sep 21, 2021 in Data Science & Statistics by MathsGee Platinum (93,241 points) | 212 views
1 like 0 dislike
1 answer
asked Aug 17, 2021 in Mathematics by MathsGee Platinum (93,241 points) | 226 views
2 like 0 dislike
1 answer
2 like 0 dislike
1 answer
asked Aug 17, 2021 in General Knowledge by MathsGee Platinum (93,241 points) | 244 views
2 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Jun 26, 2021 in Mathematics by MathsGee Platinum (93,241 points) | 295 views
0 like 0 dislike
1 answer
asked May 22, 2021 in Mathematics by MathsGee Platinum (93,241 points) | 257 views
0 like 0 dislike
1 answer
asked May 10, 2021 in Mathematics by MathsGee Platinum (93,241 points) | 278 views
1 like 0 dislike
1 answer
1 like 0 dislike
0 answers
asked Jun 1, 2021 in Mathematics by Claudia Wooden Status (3,012 points) | 227 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 (93,241 points) | 203 views

Join MathsGee Questions & Answers, where you get instant answers to your questions from our AI, GaussTheBot 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 Questions & Answers, 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 Questions & Answers

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 Questions & Answers 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 Questions & Answers

MathsGee Questions & Answers

MathJax.Hub.Config({ tex2jax: { inlineMath: [ ['$','$'], ["\\(","\\)"] ], config: ["MMLorHTML.js"], jax: ["input/TeX"], processEscapes: true } }); MathJax.Hub.Config({ "HTML-CSS": { linebreaks: { automatic: true } } });