syzygy

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Examples of syzygy

  • We move on to infinite aperiodic syzygy sequences.

  • These considerations allow us to define a syzygy map from collision-free sequences to infinite non-stuttering syzygy sequences.

  • The syzygy equations are on four-tuples of coplanar vertices.

  • It is believed that some of these have no syzygies, but this is just a guess.

  • A syzygy is a collinear configuration of the three bodies.

  • Collinear solutions count as being in constant syzygy.

  • Thus, every bounded collision-free solution has a syzygy sequence.

  • A curve on the shape sphere has an associated syzygy sequence: list the syzygies in order.

  • If such a vertex belongs to a previous link, then it is already fixed, else it can be fixed by its syzygy equation.

  • We only need to prove that any solution of the syzygy equations is also a solution of the fundamental equations.

  • When the realization conditions contain only one equality, it can be obtained from the syzygy equations directly.

  • In particular, are the syzygy sequences of some (or all) of the interpolating -curve solutions finite?

  • Thus, some syzygy equations should be replaced by equivalent but factored calotte equations.

  • Thus, any inhomogeneous coordinates can be computed from the h's satisfying the syzygy equations.

  • On the other hand, the syzygy equation (6.10) is usually not factorable.

Meaning of syzygy

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