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Comparison with traditional mathematics: Difference between revisions
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Comparison with traditional mathematics (view source)
Revision as of 13:51, 9 January 2020
, 13:51, 9 January 2020→Other differences
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| <math>\exists x, P(x)</math> || <source lang="apl" inline>∨/P(x)</source> | | <math>\exists x, P(x)</math> || <source lang="apl" inline>∨/P(x)</source> | ||
|} | |} | ||
== Practical example == | |||
The steps to produce the component of a vector <math>\textbf{a}</math> in the direction of another vector <math>\textbf{b}</math> go as follows: | |||
<div style="text-align:center"> | |||
{| class="wikitable c" style="margin: 1em auto 1em auto" | |||
! style="width:50%" | Traditional notation !! APL | |||
|- | |||
| <math>|\textbf{b}|=\sqrt[2]{\textbf{b}\cdot\textbf{b}}</math> || <source lang=apl>bNorm ← 2 Root b +.× b</source> | |||
|- | |||
| <math>\hat{\textbf{b}} = \textbf{b}\div|\textbf{b}|</math> || <source lang=apl>bHat ← b ÷ bNorm</source> | |||
|- | |||
| <math>\textbf{a}_\textbf{b}=(\textbf{a}\cdot\hat{\textbf{b}})\hat{\textbf{b}}</math> || <source lang=apl>a_b ← (a +.× bHat) × bHat</source> | |||
|} | |||
</div> | |||
{{APL syntax}} | {{APL syntax}} | ||