query: An inequality with a load of variables: $ (1-a_1)(1-a_2)...(1-a_n) \ge 1/2$
positive_passages.docid: 142360
positive_passages.text: How to show $x_1,x_2, \dots ,x_n \geq 0 $ and $ x_1 + x_2 + \dots + x_n \leq \frac{1}{2} \implies (1-x_1)(1-x_2) \cdots (1-x_n) \geq \frac{1}{2}$
negative_passages.docid: 15224
negative_passages.text: Inequality with Binomial distribution
negative_passages.docid: 58187
negative_passages.text: Solve the sequences inequality
negative_passages.docid: 138036
negative_passages.text: Proving Inequality using Induction $a^n-b^n \leq na^{n-1}(a-b)$
negative_passages.docid: 83386
negative_passages.text: Inequality with exponents $x^x+y^y \ge x^y +y^x$
negative_passages.docid: 24925
negative_passages.text: Recurrence Inequality
negative_passages.docid: 33903
negative_passages.text: Prove that $(1+a_1) \cdot (1+a_2) \cdot \dots \cdot (1+a_n) \geq 2^n$
negative_passages.docid: 19804
negative_passages.text: How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
negative_passages.docid: 156669
negative_passages.text: Trying to prove a simple (?) inequality
negative_passages.docid: 46760
negative_passages.text: To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
negative_passages.docid: 110222
negative_passages.text: Maximal inequality for a sequence of partial sums of independent random variables
negative_passages.docid: 16392
negative_passages.text: Prove the Inequality on sequence
negative_passages.docid: 49909
negative_passages.text: Inequality with five variables
negative_passages.docid: 138490
negative_passages.text: An inequality with a weird condition
negative_passages.docid: 118613
negative_passages.text: Proving an inequality: $|1-e^{i\theta}|\le|\theta|$
negative_passages.docid: 138316
negative_passages.text: A simple inequality for floor function
negative_passages.docid: 18477
negative_passages.text: $(W_1+W_2+\cdots+W_n)^a \leq W_1^a +\cdots + W_n^a$ for $n$ integer, $n\geq 2$, $W\gt 0$ and $a$ constant, real, $0\lt a\lt 1$