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Dirac delta function: Mathematics, Paul Dirac, Generalized function, Integral, Signal processing, Function (mathematics), Distribution (mathematics), Measure (mathematics), Weak topology -

English
2026-03-21
€207.26 €259.07

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Dirac delta or Dirac's delta is a mathematical construct introduced by theoretical physicist Paul Dirac. Informally, it is a generalized function representing an infinitely sharp peak bounding unit area: a 'function' ¿(x) that has the value zero everywhere except at x = 0 where ... Full description

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Dirac delta or Dirac's delta is a mathematical construct introduced by theoretical physicist Paul Dirac. Informally, it is a generalized function representing an infinitely sharp peak bounding unit area: a 'function' ¿(x) that has the value zero everywhere except at x = 0 where its value is infinitely large in such a way that its total integral is 1. In the context of signal processing it is often referred to as the unit impulse function. The Dirac delta is not strictly a function, because any function that is equal to zero everywhere but a single point must have total integral zero. While for many purposes it can be manipulated as a function, formally it can be defined as a distribution that is also a measure. In many applications, the Dirac delta is regarded as a kind of limit (a weak limit) of a sequence of functions having a tall spike at the origin. The approximating functions of the sequence are thus "approximate" or "nascent" delta functions.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786130251819
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€207.26 €259.07