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Divergence
(
∇
⋅
,
d
i
v
(
)
)
Ciro Santilli
(
@cirosantilli,
37
)
Mathematics
Area of mathematics
Calculus
Gradient, Divergence, Curl, and Laplacian
Updated
2025-07-16
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Takes
a
vector
field
as
input and produces
a
scalar field.
Mnemonic: it gives out the amount of fluid that is going in or out of
a
given
volume
per
unit of time
.
Therefore, if you take
a
cubic
volume
:
the input has to be the
6
flows across each face, therefore
3
derivatives
the output is the variation of the
quantity
of fluid, and therefore
a
scalar
Ancestors
(5)
Gradient, Divergence, Curl, and Laplacian
Calculus
Area of mathematics
Mathematics
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(3)
Divergence in Einstein notation
Einstein notation for partial derivatives
Maxwell's equations
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