Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:political_organization
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Cheb_Net
|
| gptkbp:aired_on |
[-1, 1]
|
| gptkbp:base |
cos((2k-1)π/(2n)) for k=1,2,...,n
|
| gptkbp:designated_as |
T_n(x)
|
| gptkbp:has_programs |
control theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev polynomials
|
| gptkbp:is_aligned_with |
the weight function (1-x^2)^(-1/2)
|
| gptkbp:is_essential_for |
the theory of approximation
|
| gptkbp:is_optimized_for |
the maximum error in polynomial interpolation
|
| gptkbp:is_related_to |
gptkb:TV_series
Chebyshev nodes |
| gptkbp:is_represented_in |
a linear combination of monomials
|
| gptkbp:is_used_in |
gptkb:political_movement
gptkb:software_framework gptkb:robot gptkb:technology image processing financial modeling statistical analysis finite element analysis signal processing optimization problems approximation of functions data fitting error analysis numerical analysis the study of dynamical systems the study of fractals the study of logic the study of algebraic structures signal reconstruction the study of geometry the design of filters the study of number theory the study of polynomial equations the analysis of algorithms Chebyshev interpolation the study of chaos theory the study of differential equations the study of topology the study of graph theory the study of mathematical modeling the study of waveforms spectral methods the study of mathematical analysis the study of complex analysis the study of real analysis the study of set theory the study of computational mathematics the study of numerical methods the study of functional analysis the study of numerical integration the study of combinatorics |
| gptkbp:named_after |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:scientific_classification |
first kind
second kind |
| gptkbp:series |
T_n(x) = 2x T_{n-1}(x) -T_{n-2}(x)
|
| gptkbp:used_in |
approximation theory
|