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  1. What does the $\\prod$ symbol mean? - Mathematics Stack Exchange

    Can you give the context in which you've found this symbol? Π Π is frequently used for products, and ∐ ∐ is frequently used for disjoint unions or for coproducts.

  2. meaning - What does "prod issues" mean in computer science and …

    DevOps engineers are those who are good at debugging, troubleshooting, analyzing prod issues and providing solutions. Who have good hands on technologies like unix shell scripting, perl, SQL etc.

  3. trigonometry - Prove that $\prod_ {k=1}^ {n-1}\sin\frac {k \pi} {n ...

    Thus, if we apply Kirchhoff's theorem, we get $$\prod_ {m=1}^ {n-1} 4\sin^2 (\frac {m\pi} {n}) = n^2.$$ By taking square root and dividing both sides by $2^ {n-1}$, we get the desired formula.

  4. Proving a result in infinite products: $\\prod (1+a_n)$ converges (to a ...

    Apr 13, 2016 · We assume that $\sum |a_n|^ {2}$ converges, then I want to conclude that $\prod (1+a_n)$ converges to a non zero element $\iff$ the series $\sum a_n$ converges.

  5. How to prove $ \\prod_{n=1}^{\\infty} \\left(1+\\frac{2}{n}\\right ...

    Jan 3, 2021 · How can I prove that $$ \prod_ {n=1}^ {\infty} \left (1+\frac {2} {n}\right)^ {\large { (-1)^ {n+1}n}} \,= \frac {\pi} {2e}$$ The result is given here (result 48).

  6. Evaluating $\\prod_{n=1}^{\\infty}\\left(1+\\frac{1}{2^n}\\right)$

    Sep 13, 2016 · Compute:$$\prod_ {n=1}^ {\infty}\left (1+\frac {1} {2^n}\right)$$ I and my friend came across this product. Is the product till infinity equal to $1$? If no, what is the answer?

  7. Is $\mathop {\Large\times}$ (\varprod) the same as $\prod$?

    At first I thought this was the same as taking a Cartesian product, but he used the usual $\prod$ symbol for that further down the page, so I am inclined to believe there is some difference. Does anyone …

  8. Prove that $\\sum_{1\\leq i\\leq n}\\prod_{j\\neq i} \\frac{1-x_ix_j}{x ...

    My solution is the same, and the answer your question, the key is CONTINUITY. This is a common trick in algebra (and often in linear algebra) where you have to prove that a giant polynomial expression …

  9. Show that product of primes, $\prod_ {k=1}^ {\pi (n)} p_k < 4^n$

    Oct 11, 2011 · This an interesting problem my friend has been working on for a while now (I just saw it an hour ago, but could not come up with anything substantial besides some PMI attempts). Here's …

  10. Closed form of $ \\prod_{k=2}^{n}\\left(1-\\frac{1}{2}\\left(\\frac{1 ...

    Nov 1, 2024 · This question shows research effort; it is useful and clear