diff options
Diffstat (limited to 'content/know/concept/dirac-delta-function')
| -rw-r--r-- | content/know/concept/dirac-delta-function/index.pdc | 8 |
1 files changed, 5 insertions, 3 deletions
diff --git a/content/know/concept/dirac-delta-function/index.pdc b/content/know/concept/dirac-delta-function/index.pdc index 3982afc..6c9f2b0 100644 --- a/content/know/concept/dirac-delta-function/index.pdc +++ b/content/know/concept/dirac-delta-function/index.pdc @@ -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} |