dirac_delta( x )
The Dirac delta function in SageMath. Defined by
\[ \delta(x) = \frac{ 1 }{ 2\pi } \int_{-\infty}^\infty dk \: e^{ ikx } \]with the properties
\[ \delta(x) = \begin{cases} \ 0 \ \ , \ x \ne 0 \\ \infty \ , \ x = 0 \end{cases} \quad \quad \quad \quad \quad \int_{-\infty}^\infty dx \: \delta(x) = 1 \]Related to heaviside by
\[ \frac{ d }{ dx } H(x) = \delta(x) \]Special values:
Related functions: heaviside spike_function
Function category: generalized functions sagemath-docs