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authorPrefetch2021-03-10 15:26:15 +0100
committerPrefetch2021-03-10 15:26:15 +0100
commitc4ec16c8b34f84f0e95d2988df083c6d31ba21ef (patch)
treecc5e186f23fe8e18743f6adc6e1499faf84e7e43 /content/know/concept/dirac-delta-function/index.pdc
parent540d23bff03bedbc8f68287d71c8b5e7dc54b054 (diff)
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@@ -13,8 +13,10 @@ markup: pandoc
# Dirac delta function
-The **Dirac delta function** $\delta(x)$, often just called the **delta function**,
-is an infinitely narrow discontinuous "spike" at $x = 0$ whose area is
+The **Dirac delta function** $\delta(x)$, often just the **delta function**,
+is a function (or, more accurately, a [Schwartz distribution](/know/concept/schwartz-distribution/))
+that is commonly used in physics.
+It is an infinitely narrow discontinuous "spike" at $x = 0$ whose area is
defined to be 1:
$$\begin{aligned}
@@ -29,7 +31,7 @@ $$\begin{aligned}
}
\end{aligned}$$
-It is sometimes also called the **sampling function**, due to its most
+It is sometimes also called the **sampling function**, thanks to its most
important property: the so-called **sampling property**:
$$\begin{aligned}