Ladder

Nonlinear cost — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. 11.31.61.92.210⁻¹⁶10⁻¹³10⁻¹⁰10⁻⁷10⁻⁴10⁻¹10²log₁₀ quadrature pointsdistance from the true counthalf an eigenvaluean integer, eventuallytrue count2at 4 points2at 128 points2finest error1.4·10⁻¹³the integral is an integerand a rounding hides how far it was

    The last digit is the cheapest

    Every cost curve on this site has the same shape: the first digits are cheap and the last ones are not. One method inverts it. Doubling the work buys twice as many digits as the previous doubling did, so the price of a digit halves every time it is paid.

    rung 1 · cost

All ladders