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 the inverse of $f(x)=(x-g)\\prod_{n=1}^{\\infty}\\frac{2g}{g+h ...
4 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 $$ a_0(x) = x, \\qquad a_{n+1}(x) = …
Irreducibility of $f (x) = \prod_ {i=1}^n (x-a_i)^2 + p$ over …
Aug 20, 2025 · Please edit to include your efforts. If, as you suggest, you know a proof of the statement involving $1$, why not include it? Presumably it sheds some light on how to …
elementary number theory - Mathematics Stack Exchange
Sep 2, 2024 · There are at least $p_n- 1$ primes between $p_n$ and $\prod_ {k=1}^n p_k$ · This is an exercise in Władysław Narkiewicz's book The Development of Prime Number Theory.
An alternative lower bound for $\prod_ { i,j = 1}^n\frac {1+a_ia_j} …
Mar 29, 2023 · $$\begin {aligned}Q &= \prod_ { (i,j) \in A} (1-a_ia_j) \\ &= \sum_ {k=0}^ {|A|} \sum_ {S \subset A}^ {|S| = k} (-1)^k\ C_S \prod_ { (i,j) \in S} a_ia_j\\ \end {aligned}$$
calculus - Prove $\prod\limits_ {i=1}^n (x_i^n+1)\geq 2^ {n}$ for ...
Dec 24, 2025 · One way, I guess to see this, is that this procedure fixes $\prod_ {i=1}^nx_i$, and when taking the logarithm is equivalent to the averaging process. Thus, we get the result.
If $\sum a_n^k$ converges for all $k \geq 1$, does $\prod (1 + a_n ...
Jun 29, 2020 · By definition, an infinite product $\\prod (1 + a_n)$ converges iff the sum $\\sum \\log(1 + a_n)$ converges, enabling us to use various convergence tests for infinite sums, and …
abstract algebra - Project Euler (18i): Remainder of $\prod_ {x=0}
Nov 13, 2024 · I'm stuck on this question too long, i'd like to get a clue or an idea for solution. Let R(p) R (p) be the remainder when the product ∏p−1 x=0(x3 − 3x + 4) ∏ x = 0 p 1 (x 3 3 x + 4) …
General formula for calculating $\\prod_i^n (1+a_i)$
Aug 4, 2024 · $$\displaystyle\prod\limits_ {i=1}^ {n} \left (1+a_i\right) \,\, = \,\, \displaystyle\sum_ {S \,\subseteq \, \ {1,\, 2,\, 3,\, \dots\,,\, n\}} \,\,\,\left (\,\prod ...