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(Q5349904)
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Eisenbud–Levine–Khimshiashvili signature formula
Computes the Poincaré–Hopf index of a real, analytic vector field at a singularity
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instance of
formula
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theorem
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defining formula
X
=
f
1
(
x
)
∂
∂
x
1
+
⋯
+
f
n
(
x
)
∂
∂
x
n
{\displaystyle X=f_{1}({\mathbf {x}})\,{\frac {\partial }{\partial x_{1}}}+\cdots +f_{n}({\mathbf {x}})\,{\frac {\partial }{\partial x_{n}}}}
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/m/0fq1tkd
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Eisenbud–Levine–Khimshiashvili signature formula
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