Category:Distributional Derivatives
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This category contains results about Distributional Derivatives.
Let $\phi \in \map \DD \R$ be a test function.
Let $T \in \map {\DD'} \R$ be a distribution.
The distributional derivative $\ds \dfrac {\d T} {\d x} \in \map {\DD'} \R$ is defined by:
- $\map {\dfrac {\d T} {\d x}} \phi := - \map T {\dfrac {\d \phi} {\d x}}$
Subcategories
This category has the following 2 subcategories, out of 2 total.
D
- Distributional Partial Derivatives (empty)
Pages in category "Distributional Derivatives"
The following 16 pages are in this category, out of 16 total.
D
- Distributional Derivative of Absolute Value Function
- Distributional Derivative of Floor Function
- Distributional Derivative on Distributions is Continuous Operator
- Distributional Derivative on Distributions is Linear Operator
- Distributional Derivatives of Dirac Delta Distribution do not Vanish
- Distributional Partial Derivatives Commute
- Distributional Solution to y' - k y = 0