Piano Mover's Problem
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
Given an open subset 
in 
-D space and two compact subsets 
and 
of , where is derived from by a continuous motion, is it possible to move to while remaining entirely inside ?
References
Buchberger, B.; Collins, G. E.; and Kutzler, B. ``Algebraic Methods in Geometry.'' Annual Rev. Comput. Sci. 3, 85-119, 1988. Feinberg, E. B. and Papadimitriou, C. H. ``Finding Feasible Points for a Two-point Body.'' J. Algorithms 10, 109-119, 1989. Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/sofa/sofa.html Leven, D. and Sharir, M. ``An Efficient and Simple Motion Planning Algorithm for a Ladder Moving in Two-Dimensional Space Amidst Polygonal Barriers.'' J. Algorithms 8, 192-215, 1987.
- Lehmus' Theorem
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- Leibniz Identity
- Leibniz Integral Rule
- Leibniz Series
- Lemarié's Wavelet
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- Lemniscate
- Lemniscate Case
- Lemniscate Constant
- Lemniscate Function
- Lemniscate Inverse Curve
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- Lemon
- Length (Curve)
- Length Distribution Function
- Length (Number)