See Also: Cauchy-Schwarz inequality(encyclopedia)
Cauchy(dictionary)
Schwarz(dictionary)
Dische-Schwarz reagent(medicine)
Cauchy, Augustin-Louis, Baron(encyclopedia)
skink(encyclopedia)
skink(4)(dictionary)
skink(3)(dictionary)
skink(2)(dictionary)
skink(1)(dictionary)

Cauchy-Schwarz inequality (sh) and skink(4) (iou)


Cauchy-Schwarz inequality (sh)




Any of several related inequalities developed by Augustin-Louis Cauchy and, later, Herman Schwarz (1843-1921).

The inequalities arise from assigning a real number measurement, or norm, to the functions, vectors, or integrals within a particular space in order to analyze their relationship. For functions f and g, whose squares are integrable and thus usable as a norm, (¡Òfg)2/n¡Ü/n(¡Òf2)(¡Òg2). For vectors a = (a1, a2, a3,..., an) and b = (b1, b2, b3,..., bn), together with the inner product (see inner product space) for a norm, (¦²(ai, bi))2 ¡Ü ¦²(ai)2¦²(bi)2. In addition to functional analysis, these inequalities have important applications in statistics and probability theory.


skink(4) (iou)



skink verb trans. & intrans. Now arch. & dial. LME.

Pour out or draw (liquor); offer or serve (drink etc.). LME.
Fill (a cup) with liquor. Only in 16.
skinker noun (a) a person who draws or serves liquor, a tapster; (b) a jug: L16.
skinking adjective (a) that skinks; (b) Scot. thin, watery: L16.