Gaussian integral

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:signal_processing
gptkb:statistical_mechanics
quantum mechanics
calculation of normal distribution probabilities
gptkbp:field gptkb:mathematics
mathematical analysis
gptkbp:firstPublished 19th century
gptkbp:form ∫_{-∞}^{∞} e^{-x^2} dx = √π
gptkbp:generalizes complex Gaussian integral
multivariate Gaussian integral
https://www.w3.org/2000/01/rdf-schema#label Gaussian integral
gptkbp:namedAfter gptkb:Carl_Friedrich_Gauss
gptkbp:property cannot be expressed in terms of elementary functions
gptkbp:relatedTo gptkb:normal_distribution
gptkb:probability_theory
statistics
gptkbp:solvedBy gptkb:polar_coordinates
double integration
squaring the integral
gptkbp:bfsParent gptkb:Louis_Gauss
gptkb:Pi
gptkbp:bfsLayer 6