| 11. | An elementary construction using hypocycloids was found by achieving the same lower bound.
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| 12. | The program aims at utilizing these symmetries for proving lower bounds.
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| 13. | In particular, David S . Johnson obtained a lower bound by computer experiment:
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| 14. | The result is related to a linear lower bound for the Hermite constant.
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| 15. | These are lower bounds; the typical frequency is expected to be much higher.
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| 16. | The maximum density is a lower bound on the height of the channel.
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| 17. | Theoretically, exponential lower bounds have been proved for the DPLL family of algorithms.
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| 18. | A bound of type LO means a lower bound is applied.
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| 19. | For others investigations have determined upper and lower bounds, but not exact solutions.
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| 20. | Lower bounds for multiplication are also known for some classes of branching programs.
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