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HP 48gII grafische rekenmachine Manual

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Blz. 13-2
Gebruik als alternatief de functie DERIV als volgt:
Divergentie
De divergentie van een vectorfunctie F(x,y,z) = f(x,y,z)i +g(x,y,z)j +h(x,y,z)k,
wordt gedefinieerd door het scalair product te nemen van de del-operator met
de functie, d.w.z.,
FdivF •∇=
. De functie DIV kan worden gebruikt om
de divergentie van een vectorveld te berekenen. Voor F(X,Y,Z) =
[XY,X
2
+Y
2
+Z
2
,YZ] bijvoorbeeld wordt de divergentie als volgt berekend in de
ALG-modus: DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])
Rotatie
De rotatie van een vectorveld F(x,y,z) = f(x,y,z)i+g(x,y,z)j+h(x,y,z)k wordt
gedefinieerd als een vectorieel product van de del-operator met het vectorveld,
d.w.z.
FF ×∇=curl
. De rotatie van een vectorveld kan worden berekend
met de functie CURL. Voor de functie F(X,Y,Z) = [XY,X
2
+Y
2
+Z
2
,YZ]
bijvoorbeeld wordt de rotatie als volgt berekend:
CURL([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])
Referentie
Raadpleeg hoofdstuk 15 in de gebruikshandleiding van de rekenmachine
voor meer informatie over vectoranalyse.
… 154 …


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