schwarz inequality उदाहरण वाक्य
उदाहरण वाक्य
- In cases where the ideal linear system assumptions are insufficient, the Cauchy Schwarz inequality guarantees a value of C _ { xy } \ le 1.
- The geodesic minimizes the entropy, due to the Cauchy Schwarz inequality, which states that the action is bounded below by the length of the curve, squared.
- for all Schwartz functions, and this identity can be used in conjunction with the Cauchy Schwarz inequality to show that the Hilbert transform maps boundedly into itself for all.
- :For the " no such " part, think triangle inequality, which for "'R "'k is a consequence of the Cauchy Schwarz inequality.
- Many famous inequalities can be proved by the rearrangement inequality, such as the arithmetic mean geometric mean inequality, the Cauchy Schwarz inequality, and Chebyshev's sum inequality.
- *PM : proof of Cauchy-Schwarz inequality for real numbers, id = 6635-- WP guess : proof of Cauchy-Schwarz inequality for real numbers-- Status:
- *PM : proof of Cauchy-Schwarz inequality for real numbers, id = 6635-- WP guess : proof of Cauchy-Schwarz inequality for real numbers-- Status:
- He is credited with an early discovery of the Cauchy Schwarz inequality, proving it for the infinite dimensional case in 1859, many years prior to Hermann Schwarz's research on the subject.
- The first step invokes the Cauchy-Schwarz inequality and begins by considering the m \ times m Gram matrix G of the vectors \ { x _ i \ }; i . e .,
- Indeed, an immediate consequence of the Cauchy Schwarz inequality is that it justifies defining the angle between two non-zero vectors and in the case "'R "'} } by the identity