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Arnold's Trivium
1991 Arnold's Trivium
31
31
Part of
1991 Arnold's Trivium
Problems
(1)
Problem 31
Source:
7/1/2010
Find the index of the singular point
0
0
0
of the vector field with components
(
x
4
+
y
4
+
z
4
,
x
3
y
ā
x
y
3
,
x
y
z
2
)
(x^4+y^4+z^4,x^3y-xy^3,xyz^2)
(
x
4
+
y
4
+
z
4
,
x
3
y
ā
x
y
3
,
x
y
z
2
)
vector