3) Isoperimetric Inequality Flashcards
1
Q
Define a simple closed curve in R^2
A
2
Q
Define a parametrised circle in R^2 with a period a€R
A
3
Q
Define the length of γ for a parmaterized closed curve in R^2 with period a
A
4
Q
State isoperimetric Inequality
A
5
Q
State Wirtinger’s inequality
A
6
Q
State L’hospital’s rule
A
7
Q
7 Indeterminate forms are
A
8
Q
Prove Wirtinger’s inequality
A
To prove that G(t) is continuously differentiable, use L’hopital’s rule
9
Q
Greene’s Theorem for A(int(γ))
A
10
Q
Prove isopereimetric inequality
A
