Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basisFor |
gptkb:Walsh_system
|
| gptkbp:definedIn |
interval [0,1]
|
| gptkbp:field |
gptkb:mathematics
gptkb:probability_theory analysis |
| gptkbp:function |
r_1(t) = sign(sin(2πt))
|
| gptkbp:heldBy |
step functions
independent random variables measurable functions periodic functions orthogonal functions |
| https://www.w3.org/2000/01/rdf-schema#label |
Rademacher functions
|
| gptkbp:namedAfter |
gptkb:Hans_Rademacher
|
| gptkbp:nthFunction |
r_n(t) = sign(sin(2^n π t))
|
| gptkbp:orthogonalIn |
L^2([0,1])
|
| gptkbp:period |
1
|
| gptkbp:sequence |
infinite
|
| gptkbp:takeValues |
1
-1 |
| gptkbp:usedFor |
gptkb:Khintchine_inequality
random series |
| gptkbp:usedIn |
gptkb:probability_theory
Fourier analysis Walsh functions |
| gptkbp:valuation |
{-1, 1}
|
| gptkbp:bfsParent |
gptkb:Hans_Rademacher
|
| gptkbp:bfsLayer |
6
|