Question
Diffeo·morphisms which satisfy the Beltrami equation with a finite Beltrami coefficient have the “quasi” form of this property. A theorem of Liouville states that, in R-n with n greater than two, any function with this property is a composition of Mobius transformations. A function with this property that connects the upper half-plane to any simple polygon can be constructed with the Schwarz-Christoffel integral. Two subsets of the complex plane have this type of (*) equivalence if there is a bi·holo·morphic function connecting them; such equivalence exists between any simply connected open set and the unit disc per the Riemann mapping theorem. For functions with this property, the Jacobian everywhere equals a scalar multiple of a rotation matrix. For 10 points, name this type of function that locally preserves angles. ■END■
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Iain Carpenter | Illinois | Chicago B | 54 | -5 |
Jeremy Cummings | WUSTL | Northwestern | 61 | -5 |
Jerry Vinokurov | Maryland B- | Purdue | 94 | 10 |
Davis Everson-Rose | Epic Games | OSU | 126 | -5 |
Eric Mukherjee | Senpai Notice Me | Chicago A | 127 | 10 |
Clark Smith | OSU | Epic Games | 128 | 0 |
Vivek Sasse | Chicago B | Illinois | 128 | 10 |
Conor Thompson | Michigan | Mojo Shojo | 128 | 0 |
Beni Keown | Northwestern | WUSTL | 128 | 0 |