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div<br />

Ostatnie równanie możemy napisać w postaci operatorowej.<br />

r r r r r r r<br />

gradV( ) = ∇⋅(<br />

∇V<br />

) = ∇⋅∇V<br />

= ( ∇⋅∇)<br />

V = ∇<br />

2<br />

V<br />

Z drugiej strony<br />

∇ r<br />

⋅∇<br />

r<br />

V<br />

=<br />

∂<br />

∂x<br />

∂V<br />

∂x<br />

+<br />

∂<br />

∂y<br />

∂V<br />

∂y<br />

+<br />

∂<br />

∂z<br />

∂V<br />

∂z<br />

=<br />

2<br />

∂ V<br />

2<br />

∂x<br />

+<br />

2<br />

∂ V<br />

2<br />

∂y<br />

+<br />

2<br />

∂ V<br />

2<br />

∂z<br />

Reinhard Kulessa 19

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