![]() 1,017,520,666 visitors served. |
|
![]() Dictionary/ thesaurus | ![]() Medical dictionary | ![]() Legal dictionary | ![]() Financial dictionary | ![]() Acronyms | ![]() Idioms | ![]() Encyclopedia | ![]() Wikipedia encyclopedia | ? |
Cauchy-Schwarz inequality |
0.04 sec. |
Cauchy-Schwarz inequalityAny 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, (∫fg)2 ≤ (∫f2)(∫g2). 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, (Σ(ai, bi))2 ≤ Σ(ai)2Σ(bi)2. In addition to functional analysis, these inequalities have important applications in statistics and probability theory. |
|
? Mentioned in |
|---|
| Free Tools: |
For surfers:
Browser extension |
Word of the Day |
Help
For webmasters: Free content | Linking | Lookup box | Double-click lookup | Partner with us |
|
|---|