A normal ruler with lots of markings on it is actually overkill, you can make do with a smaller number of markings and still be able to measure any distance smaller than the length if the ruler itself. -Alaric Stephen I was inspired by Alaric Stephen’s blogpost on minimal rulers to make a set of Optimal Sparse Rulers.. A complete sparse ruler is called maximal if there is no complete sparse ruler of greater length with marks. Complete minimal rulers of length 135 and 136 require one more mark than those of lengths 124-134, 137 and 138. A sparse ruler is called optimal if it is both minimal and maximal.
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:triangular_ruler: Jekyll theme for building a personal site, blog, project documentation, or portfolio. – mmistakes/minimal-mistakes. Sparse rulers A sparse ruler for length m, has less then n +1 marks but can still measure all lengths from 1 to n. A true sparse ruler is a sparse ruler that cannot measure length n +1, and a minimal sparse ruler is a sparse ruler where no mark can be removed. A ruler is defined by the ascending sequence P_1, .., P_k, where P_1 equals zero. The set of distances D({P_1, .., P_k}) which can be.
