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View Full Version : divergentce sentence of gaus prove for spesific pyramid


ori
Sep13-04, 09:32 AM
how do i prove the sentece for pyramid blocked between
x=0
y=0
z=0
x+y+z=1
and the field is F=(0,0,R(x,y,z))
R is at C1 (i mean it is continutius and its first devrtive is continutius)

all the condition of the sentence are ok:
the plane is smood at it's parts
the plane is closed
all F components are at C1 at all the area of the pyramid
therefore
we need to prove
SSF*nds (on S) =SSSdivFdxdydz (on V)
while S is the border of V
n is the normal of S

how can we prove that in this case?