query: Inequality Involving Complex Norm
positive_passages.docid: 118613
positive_passages.text: Proving an inequality: $|1-e^{i\theta}|\le|\theta|$
negative_passages.docid: 48092
negative_passages.text: Inequality involving a finite sum
negative_passages.docid: 23979
negative_passages.text: Inequality involving sides of a triangle
negative_passages.docid: 69653
negative_passages.text: Inequality $\left(a-1+\frac{1}b\right)\left(b-1+\frac{1}c\right)\left(c-1+\frac{1}a\right)\leq1$
negative_passages.docid: 116206
negative_passages.text: Complex number question on proving an inequality.
negative_passages.docid: 70448
negative_passages.text: Inequality for harmonic means
negative_passages.docid: 127248
negative_passages.text: Norm and unit sphere
negative_passages.docid: 89555
negative_passages.text: Inequality for the p norm of a convolution
negative_passages.docid: 137507
negative_passages.text: triangular series and inequality
negative_passages.docid: 73771
negative_passages.text: An inequality for a sum of sine functions
negative_passages.docid: 156513
negative_passages.text: Prove that inequality $\sum _{cyc}\frac{a^2+b^2}{a+b}\le \frac{3\left(a^2+b^2+c^2\right)}{a+b+c}$
negative_passages.docid: 92056
negative_passages.text: An inequality on holomorphic functions
negative_passages.docid: 65539
negative_passages.text: Inequality involving the integral of vector valued function
negative_passages.docid: 81742
negative_passages.text: Integral inequality (Cauchy-Schwarz)
negative_passages.docid: 36758
negative_passages.text: Triangle inequality for L2 norm
negative_passages.docid: 103806
negative_passages.text: How to prove triangle inequality for $p$-norm?
negative_passages.docid: 16852
negative_passages.text: $|e^a-e^b| \leq |a-b|$ for complex numbers with non-positive real parts