The Stong Isoperimetric Inequality of Bonnesen
... L = 2πr and it encloses an area of A = πr2 = L 4π . Thus if γ is a simple closed curve of length L and encloses an area A, the isoperimetric inequality says that γ encloses an area no bigger than the area of the circle with the same length, or (I). The Isoperimetric inequality may be proved by any n ...
... L = 2πr and it encloses an area of A = πr2 = L 4π . Thus if γ is a simple closed curve of length L and encloses an area A, the isoperimetric inequality says that γ encloses an area no bigger than the area of the circle with the same length, or (I). The Isoperimetric inequality may be proved by any n ...
Generating Elliptic Curves of Prime Order
... discriminant. As to previous theoretical bounds on running times, it seems that Koblitz’s [8] conjectures and statistics for reduction of class number one CM curves defined over the rationals are taken to indicate that the CM method is in general speedy. We concur in our 6.3. We thank the referees fo ...
... discriminant. As to previous theoretical bounds on running times, it seems that Koblitz’s [8] conjectures and statistics for reduction of class number one CM curves defined over the rationals are taken to indicate that the CM method is in general speedy. We concur in our 6.3. We thank the referees fo ...