string in 2d: | P1 P2 | | | = P | t 1-t| with t in [0, 1] string in 3d: | P1 P2 P3 | | t^2 (1-t)^2 2(1-t)t| = P |2(1-s)s s^2 (1-s)^2| with t, s in [0, 1] string in 4d: | P1 P2 P3 P4 | | t^3 (1-t)^3 3(1-t)^2 t 3(1-t) t^2| | | = P |3(1-s) s^2 s^3 (1-s)^3 3(1-s)^2 s| |3(1-k)^2 k 3(1-k) k^2 k^3 (1-k)^3 | with t, s, k in [0, 1] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ P1, P2, P3, P4 are the local weights and P is their equipotential weight or the string of the lever. i am willing to negotiate the acceptance of this claim Other posts:
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