Update Discontinuous-Progress.md

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@ -78,30 +78,23 @@ Here is the logarithm plot, with some smoothing applied:
![](https://nunosempere.github.io/rat/Circum-log-2.png) ![](https://nunosempere.github.io/rat/Circum-log-2.png)
And furthermore, a table: Some of above in a table:
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| Year | Rate of progress before | Discontinuity in terms of time of travel = New record - current record | How much extra time would have been needed? = (point - previous predicted point)/ previous rate of progress = (discontinuity - expected progress) / previous rate of progress | | Year | Rate of progress before | Discontinuity in terms of time of travel = New record - current record | How much extra time would have been needed? = (point - previous predicted point)/ previous rate of progress = (discontinuity - expected progress) / previous rate of progress |
|------|---------------------------------------------------------|-------------------------------------------------------------------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| |------|---------------------------------------------------------|-------------------------------------------------------------------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| 1586 | 1.1034 days/year | 237 days | 203 years | | 1586 | 1.1034 days /year | 237 days | 203 years |
| 1870 | 0.69 days/year | 525 days | 740 years | | 1870 | 0.69 days /year | 525 days | 740 years |
| 1931 | 1 day / year | 13 days | 11 years | | 1931 | 1 day /year | 13 days | 11 years |
| 1961 | 6.1 hours / year | 31 hours | 1 year | | 1961 | 6.1 hours /year | 31 hours | 1 year |
And here is that same table if we measure progress according to the logarithm (i.e., if halving the time needed is always equally impressive). And here is that same table if we measure progress according to the logarithm (i.e., if halving the time needed is always equally impressive).
| Year | Rate of progress before | Discontinuity in terms of time of travel = New record - previous record | How much extra time would have been needed? = (point - previous predicted point) / previous rate of progress = (New record - previous record - predicted advance) / previous rate of progress | | Year | Rate of progress before | Discontinuity in terms of time of travel = New record - previous record | How much extra time would have been needed? = (point - previous predicted point) / previous rate of progress = (New record - previous record - predicted advance) / previous rate of progress |
|------|-----------------------------------------------------|--------------------------------------------------------------------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| |------|-----------------------------------------------------|--------------------------------------------------------------------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| 1586 | 0.00151660237 log2(days)/year | 0.3823431 log2(days) | 240 years | | 1586 | 0.0015166 log2(days) /year | 0.3823431 log2(days) | 240 years |
| 1870 | 0.001444656 log2(days)/year | 2.9 log(days) | 1986 years | | 1870 | 0.0014447 log2(days) /year | 2.9 log(days) | 1986 years |
| 1931 | 0.03270527 log2(days)/year | 1.39 log2(days) | 40.5 years | | 1931 | 0.0327053 log2(days) /year | 1.39 log2(days) | 40.5 years |
| 1961 | 0.132842 log2(hours)/year | 4.18836 log2(hours) | 27.5 years | | 1961 | 0.132842 log2(hours) /year | 4.18836 log2(hours) | 27.5 years |
### Sources: ### Sources:
[Wikipedia: List of circumnavigations](https://en.wikipedia.org/wiki/List_of_circumnavigations) [Wikipedia: List of circumnavigations](https://en.wikipedia.org/wiki/List_of_circumnavigations)