schwarz inequality sentence in Hindi

Examples

1. Its length can be estimated using the Cauchy-Schwarz inequality:
2. By the Cauchy-Schwarz inequality, the equation gives the estimate:
3. Since positive semidefinite hermitian sesquilinear forms satisfy the Cauchy Schwarz inequality, the subset
4. A firmly non-expansive mapping is always non-expansive, via the Cauchy Schwarz inequality.
5. It follows, essentially from the Cauchy Schwarz inequality, that f  " is absolutely summable.
6. It is a corollary of the Cauchy Schwarz inequality that the correlation cannot exceed 1 in absolute value.
7. The Cauchy & ndash; Schwarz inequality is met with equality when the two vectors involved are collinear.
8. It is also known in the Russian mathematical literature as the " Cauchy Bunyakovsky Schwarz inequality ".
9. The special case " q " 2 } } gives a form of the Cauchy Schwarz inequality.
10. Proof of this inequality is by the Cauchy-Schwarz inequality, see Borg ( pp . 152 153 ).