Polar and Cylindrical Coordinates
Polar Coordinates
Spherical Coordinates
Curvilinear Motion: Polar Coordinates
Area Computation by the Alternative Coordinate Method
Phase Transitions: Melting and Freezing
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Updated: Jan 10, 2026

Protocol for Producing Three-Dimensional Infrared Video of Freezing in Plants
Published on: September 12, 2018
1Department of Chemical and Biochemical Engineering University of Iowa, Iowa City, Iowa 52242, United States.
This study introduces an enhanced freezing string method (FSM) for finding transition states in chemical reactions. The improved FSM significantly reduces computational cost by nearly 50% while achieving a 100% success rate.
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