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, …

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.

6 days ago · 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) = …

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. …

Sep 2, 2024 · I wanted to read about this proposition. (Gentile, 1950) Let pn p n denote the n n -th prime. There are at least pn − 1 p n 1 primes between pn p n and ∏n k=1pk ∏ k = 1 n p k · …

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 …

Aug 4, 2024 · $$\displaystyle\prod\limits_ {i=1}^ {n} \left (1+a_i\right) \,\, = \,\, \displaystyle\sum_ {S \,\subseteq \, \ {1,\, 2,\, 3,\, \dots\,,\, n\}} \,\,\,\left (\,\prod ...

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 …

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.

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 ...