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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:alsoKnownAs
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delta function
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gptkbp:application
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gptkb:Green's_functions
gptkb:sampling_theory
electrical engineering
partial differential equations
quantum mechanics
impulse response
probability density functions
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gptkbp:category
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distribution theory
generalized functions
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gptkbp:compatibleWith
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ordinary function
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gptkbp:definedIn
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generalized function
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gptkbp:firstDescribed
|
1930
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gptkbp:FourierTransform
|
1
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https://www.w3.org/2000/01/rdf-schema#label
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Dirac delta function
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gptkbp:LaplaceTransform
|
1
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gptkbp:namedAfter
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gptkb:Paul_Dirac
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gptkbp:property
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gptkb:organization
integral over entire real line is one
zero everywhere except at zero
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gptkbp:relatedTo
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gptkb:Heaviside_step_function
gptkb:Kronecker_delta
distribution (mathematics)
|
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gptkbp:siftingProperty
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∫f(x)δ(x-a)dx = f(a)
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gptkbp:supports
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at x = 0
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gptkbp:symbol
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δ(x)
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gptkbp:usedIn
|
gptkb:probability_theory
gptkb:signal_processing
control theory
engineering
mathematical analysis
physics
|
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gptkbp:bfsParent
|
gptkb:Heaviside_step_function
gptkb:Paul_Dirac
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gptkbp:bfsLayer
|
4
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