Revision as of 19:07, 5 June 2022

Unit Step Function and Its Derivative

[MF53], Part I, §2.1 (p. 123), Eq. (2.1.6)

$u (z) = \int_{- \infty}^{\infty} δ (ξ) d ξ = {\begin{cases} 0; & z < 0 \\ 1; & z > 0 \end{cases}$

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 <!-- __NOTOC__ will force TOC off -->
-=Step Function and its Derivative=
+=Unit Step Function and Its Derivative=
-To be written &hellip;
+[<b>[[Appendix/References#MF53|<font color="red">MF53</font>]]</b>], Part I, &sect;2.1 (p. 123), Eq. (2.1.6)
+<div align="center">
+<math>
+u(z) = \int_{-\infty}^\infty \delta(\xi)d\xi =
+\begin{cases}
+; & ~~z < 0 \\
+; & ~~ z > 0
+\end{cases}
+</math>
+</div>
+<!-- WORKS
+<math>
+f(n) =
+\begin{cases}
+n/2, & \text{if }n\text{ is even} \\
+n+1, & \text{if }n\text{ is old}
+\end{cases}
+</math>
+-->
+<!--  EARLY TRIES THAT DID NOT WORK ...
+<math>
+\begin{equation}
+  f(x)=\begin{cases}
+, & \text{if $x<0$}.\\
+, & \text{otherwise}.
+  \end{cases}
+\end{equation}
+</math>
+<math>
+ \left\{
+    \begin{array}{1}
+\\
+    \end{array}
+ \right.
+</math>
+<math>
+f(x)=\left\{
+  \begin{array}{ll}
+, & \mbox{if $x<0$}.\\
+, & \mbox{otherwise}.
+  \end{array}
+\right.
+</math>
+-->
 =See Also=
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