Category:Definitions/Dirac Delta Function
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This category contains definitions related to Dirac Delta Function.
Related results can be found in Category:Dirac Delta Function.
Definition 1
Let $\epsilon \in \R_{>0}$ be a (strictly) positive real number.
Consider the real function $F_\epsilon: \R \to \R$ defined as:
- $\map {F_\epsilon} x := \begin{cases}
0 & : x < 0 \\ \dfrac 1 \epsilon & : 0 \le x \le \epsilon \\ 0 & : x > \epsilon \end{cases}$
The Dirac delta function is defined as:
- $\map \delta x := \ds \lim_{\epsilon \mathop \to 0} \map {F_\epsilon} x$
Definition 2
Let $\epsilon \in \R_{>0}$ be a (strictly) positive real number.
Consider the real function $F_\epsilon: \R \to \R$ defined as:
- $\map {F_\epsilon} x := \begin {cases}
0 & : x < -\epsilon \\ \dfrac 1 {2 \epsilon } & : -\epsilon \le x \le \epsilon \\ 0 & : x > \epsilon \end {cases}$
The Dirac delta function is defined as:
- $\map \delta x = \ds \lim_{\epsilon \mathop \to 0} \map {F_\epsilon} x$
Pages in category "Definitions/Dirac Delta Function"
The following 17 pages are in this category, out of 17 total.
D
- Definition:Dirac Delta Function
- Definition:Dirac Delta Function/2 Dimensional
- Definition:Dirac Delta Function/Also defined as
- Definition:Dirac Delta Function/Also denoted as
- Definition:Dirac Delta Function/Also known as
- Definition:Dirac Delta Function/Definition 1
- Definition:Dirac Delta Function/Definition 1/Graph
- Definition:Dirac Delta Function/Definition 2
- Definition:Dirac Delta Function/Definition 2/Graph
- Definition:Dirac Delta Function/Graph
- Definition:Dirac Delta Function/Warning
- Definition:Dirac's Delta Function