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, …
What does the $\\prod$ symbol mean? - Mathematics Stack …
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.
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. …
How to find $L=\prod\limits_ {n\ge1}\frac { (\pi/2)\arctan (n ...
Dec 12, 2025 · We have $$\begin {align*} L &= \lim_ {N\to\infty} \prod_ {n=1}^ {N} \frac {\frac {\pi} {2}\arctan (n)} {\arctan (2n-1)\arctan (2n)} \\ &= \lim_ {N\to\infty} \prod_ {n ...
If $\sum a_n^k$ converges for all $k \geq 1$, does $\prod (1 + a_n ...
Jun 29, 2020 · By definition, an infinite product $\\prod (1 + a_n)$ converges iff the sum $\\sum \\log(1 + a_n)$ converges, enabling us to use various convergence tests for infinite sums, and …
Irreducibility of $f(x) = \\prod_{i=1}^n (x-a_i)^2 + p$ over …
Aug 20, 2025 · Original problem: Prove that f(x) = ∏ni = 1(x − ai)2 + 1 is irreducible over Q, where a1, …, an are distinct integers. Generalization: Let p be any prime number. Is g(x) = ∏ni = 1(x …
Is the inverse of $f(x)=(x-g)\\prod_{n=1}^{\\infty}\\frac{2g}{g+h ...
Jan 8, 2026 · In this answer, I developed a method to construct a function that can represent the general term of the recurrence relation of the form $$ a_0(x) = x, \\qquad a_{n+1}(x) = …
calculus - Prove $\prod\limits_ {i=1}^n (x_i^n+1)\geq 2^ {n}$ for ...
Dec 24, 2025 · One way, I guess to see this, is that this procedure fixes $\prod_ {i=1}^nx_i$, and when taking the logarithm is equivalent to the averaging process. Thus, we get the result.
Proving a result in infinite products: $\prod (1+a_n)$ converges (to …
Apr 13, 2016 · Questions But from here I don't know if I am right, how to conclude and solve the converse part to say that we have a non zero limit, and another thing Can someone provide …
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?