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.

3 days ago · The original question simply asked for the number of distinct permutations {a, b, c, d, e, f} such that N is a non-zero integer. I correctly identified that for N ≠ ...

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. …

2 days ago · This is an integral I came up with a decent while ago. The reasoning behind the integrand was to take $$\frac {\sin (\pi x)} {\pi x} = \prod_ {n=1}^ {\infty}\left [1-\frac {x^2} …

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 ...

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 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.

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) = …