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- Singularity_function abstract "Singularity functions are a class of discontinuous functions that contain singularities, i.e. they are discontinuous at its singular points. Singularity functions have been heavily studied in the field of mathematics under the alternative names of generalized functions and distribution theory. The functions are notated with brackets, as where n is an integer. The "" are often referred to as singularity brackets . The functions are defined as:where: δ(x) is the Dirac delta function, also called the unit impulse. The first derivative of δ(x) is also called the unit doublet. The function is the Heaviside step function: H(x)=0 for x<0 and H(x)=1 for x>0. The value of H(0) will depend upon the particular convention chosen for the Heaviside step function. Note that this will only be an issue for n=0 since the functions contain a multiplicative factor of x-a for n>0. is also called the Ramp function.".
- Singularity_function thumbnail Loaded_beam.svg?width=300.
- Singularity_function wikiPageExternalLink Lecture17.pdf.
- Singularity_function wikiPageExternalLink sing.pdf.
- Singularity_function wikiPageExternalLink sfunctions.pdf.
- Singularity_function wikiPageID "11942555".
- Singularity_function wikiPageRevisionID "595529255".
- Singularity_function hasPhotoCollection Singularity_function.
- Singularity_function subject Category:Generalized_functions.
- Singularity_function type Abstraction100002137.
- Singularity_function type Function113783816.
- Singularity_function type GeneralizedFunctions.
- Singularity_function type MathematicalRelation113783581.
- Singularity_function type Relation100031921.
- Singularity_function comment "Singularity functions are a class of discontinuous functions that contain singularities, i.e. they are discontinuous at its singular points. Singularity functions have been heavily studied in the field of mathematics under the alternative names of generalized functions and distribution theory. The functions are notated with brackets, as where n is an integer. The "" are often referred to as singularity brackets .".
- Singularity_function label "Singularity function".
- Singularity_function sameAs m.02ryz46.
- Singularity_function sameAs Q7524277.
- Singularity_function sameAs Q7524277.
- Singularity_function sameAs Singularity_function.
- Singularity_function wasDerivedFrom Singularity_function?oldid=595529255.
- Singularity_function depiction Loaded_beam.svg.
- Singularity_function isPrimaryTopicOf Singularity_function.
