Mills' Mess "The pattern received its name from fellow jugglers at the 1976 International Juggling Convention in Los Angeles, California. Steve Mills did not know how to "teach" this pattern and while trying different methods of teaching this pattern with many proficient jugglers, they shouted 'this is a mess.'" Mills did not know this was being called "Mills Mess" around the world for several years. Mills Mess can be combined with chops, claws, or other juggling maneuvers or flourishes to create a pattern that is moderately more difficult than the traditional three-ball cascade. Though most commonly performed with balls, bean-bags or similar
All-pass filter same angle but have reciprocal magnitudes (i.e., they are "reflections" of each other across the boundary of the complex unit circle). The placement of this pole-zero pair for a given formula_9 can be rotated in the complex plane by any angle and retain its all-pass magnitude characteristic. Complex pole-zero pairs in all-pass filters help control the frequency where phase shifts occur. To create an all-pass implementation with real coefficients, the complex all-pass filter can be cascaded with an all-pass that substitutes formula_14 for formula_9, leading to the Z-transform implementation which is equivalent to the difference equation where formula_18 is the