Statements (72)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Marxism
|
| gptkbp:appears_in |
the solution of the quantum harmonic oscillator
|
| gptkbp:are_a_special_case_of |
the hypergeometric function
|
| gptkbp:are_defined_on |
the real line
|
| gptkbp:are_denoted_by |
H_n(x)
|
| gptkbp:are_orthogonal_with_respect_to |
the weight e^{-x^2}
|
| gptkbp:can_be_computed_using |
Rodrigues' formula
|
| gptkbp:can_be_used_to_approximate |
other functions
|
| gptkbp:has_applications_in |
gptkb:machine_learning
|
| gptkbp:has_produced |
the generating function
the exponential generating function |
| gptkbp:have_a_degree_of |
n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hermite polynomials
|
| gptkbp:is_characterized_by |
the recurrence relation
|
| gptkbp:is_connected_to |
the central limit theorem
|
| gptkbp:is_related_to |
gptkb:Chebyshev_polynomials
Laguerre polynomials the Fourier transform the Gaussian function |
| gptkbp:is_represented_in |
a sum involving factorials
|
| gptkbp:is_used_in |
gptkb:Quantum_Mechanics
gptkb:optics image processing statistics signal processing probability theory data fitting numerical analysis control theory the study of stochastic processes financial mathematics the study of linear algebra the study of algebraic structures the study of number theory the analysis of algorithms the study of diffusion processes the study of asymptotic analysis the theory of special functions the study of differential equations the study of optimization problems the study of mathematical proofs the study of topology the study of operator theory the study of spectral theory the study of graph theory the study of mathematical modeling the study of random walks the study of computational mathematics the study of heat equations the study of mathematical physics the study of numerical methods the analysis of wave functions the study of Markov processes the study of approximation theory the study of combinatorial problems the study of convergence of series the study of error analysis the study of functional analysis the study of interpolation methods the study of logic and set theory the study of mathematical education the study of mathematical reasoning the study of matrix theory the study of numerical integration the study of polynomial approximation the study of signal reconstruction the study of time series analysis the study of wavelet transforms |
| gptkbp:named_after |
gptkb:Charles_Hermite
|
| gptkbp:satisfy_the_differential_equation |
y'' -2xy' + 2ny = 0
|
| gptkbp:bfsParent |
gptkb:Charles_Hermite
|
| gptkbp:bfsLayer |
6
|