query: How to finish this proof using Cauchy-Schwarz inequality?
positive_passages.docid: 84213
positive_passages.text: How to show $n\sum_{i=1}^n {x_i^2} \ge (\sum_{i=1}^n{x_i})^2$
negative_passages.docid: 125817
negative_passages.text: show this inequality $(x+y)^3+(y+z)^3+(z+w)^3+(w+x)^3\ge 8(x^2y+y^2z+z^2w+w^2x)$
negative_passages.docid: 139692
negative_passages.text: Proof of inequality using AM-GM inequality
negative_passages.docid: 30386
negative_passages.text: Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
negative_passages.docid: 63124
negative_passages.text: Show that $ \lVert A \rVert_2^2 \leq \lVert A \rVert _1 \lVert A \rVert _ \infty $
negative_passages.docid: 147785
negative_passages.text: Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
negative_passages.docid: 144500
negative_passages.text: Cauchy-Schwarz inequality proof (but not the usual one)
negative_passages.docid: 156669
negative_passages.text: Trying to prove a simple (?) inequality
negative_passages.docid: 45220
negative_passages.text: Proving the sum of two independent Cauchy Random Variables is Cauchy
negative_passages.docid: 33617
negative_passages.text: Prove the inequality involving multiple integrals
negative_passages.docid: 66707
negative_passages.text: How to prove this inequality? $ | z-1 | \le | | z | -1 | + | z| \cdot | \arg z | $
negative_passages.docid: 156803
negative_passages.text: Proving a corollary to Schwarz lemma
negative_passages.docid: 36319
negative_passages.text: Intuition on proof of Cauchy Schwarz inequality
negative_passages.docid: 3316
negative_passages.text: Prove QM-AM inequality
negative_passages.docid: 27946
negative_passages.text: Inequality problem involving QM-AM-GM-HM or Cauchy Schwarz inequality
negative_passages.docid: 35001
negative_passages.text: Prove inequality using Schwarz's Lemma
negative_passages.docid: 66247
negative_passages.text: Proving inequality $\left( \frac {x} {y}\right) ^{x}\left( \frac {1-x} {1-y}\right) ^{1-x}\geqslant 1$