Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:heat_equation
gptkb:signal_processing acoustics image analysis |
| gptkbp:component |
cosine function
sine function |
| gptkbp:convergesTo |
gptkb:Dirichlet
gptkb:Lebesgue gptkb:Riemann |
| gptkbp:definedIn |
an infinite sum of sines and cosines
|
| gptkbp:field |
gptkb:Mathematics
Fourier analysis Harmonic analysis |
| gptkbp:general_form |
a_0/2 + Σ (a_n cos(nx) + b_n sin(nx))
|
| https://www.w3.org/2000/01/rdf-schema#label |
Trigonometric Series
|
| gptkbp:property |
periodicity
completeness in L2 space orthogonality of sine and cosine functions |
| gptkbp:relatedTo |
gptkb:Gibbs_phenomenon
gptkb:Parseval's_theorem gptkb:Fourier_Series Bessel's inequality Pointwise convergence Uniform convergence |
| gptkbp:studiedBy |
gptkb:Jean-Baptiste_Joseph_Fourier
|
| gptkbp:used_in |
electrical engineering
partial differential equations quantum mechanics approximation theory representation of periodic functions |
| gptkbp:bfsParent |
gptkb:Antoni_Zygmund
|
| gptkbp:bfsLayer |
5
|