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Constant rank theorem
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Analysis
Real analysis
Calculus
Multivariable calculus
Differentiable map
Inverse function theorem
2026-09-24
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If
a
smooth
map
has constant rank
r
near
a
point, there are
local coordinates
in which it is
(
x
1
,
…
,
x
m
)
⟼
(
x
1
,
…
,
x
r
,
0
,
…
,
0
)
.
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(9)
Inverse function theorem
Differentiable map
Multivariable calculus
Calculus
Real analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 115
/
2
/
b
/
Solution
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