MathDB
Problems
Contests
Undergraduate contests
Arnold's Trivium
1991 Arnold's Trivium
31
Problem 31
Problem 31
Source:
July 1, 2010
vector
Problem Statement
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
)
Back to Problems
View on AoPS