Editing Talk:2585: Rounding
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:::And, assuming the sequence is chosen for maximising upwards, you've got the function at each stage that is selected precisely because ''for that exact state-value'' it is specifically upward-trending, so when you try that in a different context reversion-to-the-mean suggests you're perhaps more likely to hit one of the downward-trends in the relationship. | :::And, assuming the sequence is chosen for maximising upwards, you've got the function at each stage that is selected precisely because ''for that exact state-value'' it is specifically upward-trending, so when you try that in a different context reversion-to-the-mean suggests you're perhaps more likely to hit one of the downward-trends in the relationship. | ||
:::My theory is that for any given starting value, some convert-then-round (from a sufficiently diverse choice of options) will always maximise the resulting magnitude. And that result will always have its own maximal conversion. Although those two operations may be less maximising in combination than a submaximal first operation (maybe, in some cases, a slight ''reduction''?) that 'lands' on a better number for a differing secondary maximiser step to act upon. So a full search-path needs to consider an N-step look-ahead method rooted in a breadth-first trial of each step-1, etc, to optimise the maximiser-optimiser process. But I haven't the time to test it right now. Maybe later! [[Special:Contributions/172.70.162.77|172.70.162.77]] 00:53, 25 February 2022 (UTC) | :::My theory is that for any given starting value, some convert-then-round (from a sufficiently diverse choice of options) will always maximise the resulting magnitude. And that result will always have its own maximal conversion. Although those two operations may be less maximising in combination than a submaximal first operation (maybe, in some cases, a slight ''reduction''?) that 'lands' on a better number for a differing secondary maximiser step to act upon. So a full search-path needs to consider an N-step look-ahead method rooted in a breadth-first trial of each step-1, etc, to optimise the maximiser-optimiser process. But I haven't the time to test it right now. Maybe later! [[Special:Contributions/172.70.162.77|172.70.162.77]] 00:53, 25 February 2022 (UTC) | ||
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A note about the propulsion system in the mouseover text: This system is not entirely novel and was first proposed by Douglas Adams who suggested using the notebooks of waiters in bistros to achieve the desired precision loss. He suggested it should be possible to achieve speeds of round ∞kph (∞mph) [[Special:Contributions/162.158.202.247|162.158.202.247]] | A note about the propulsion system in the mouseover text: This system is not entirely novel and was first proposed by Douglas Adams who suggested using the notebooks of waiters in bistros to achieve the desired precision loss. He suggested it should be possible to achieve speeds of round ∞kph (∞mph) [[Special:Contributions/162.158.202.247|162.158.202.247]] | ||
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:The various things that {{w|Hex (Discworld)|Discworld's "Hex"}} can do (including occasionally providing magical teportation) can rely upon it trying lots of 'impossible' things very quickly "before the universe notices". [[Special:Contributions/162.158.159.125|162.158.159.125]] 14:19, 25 February 2022 (UTC) | :The various things that {{w|Hex (Discworld)|Discworld's "Hex"}} can do (including occasionally providing magical teportation) can rely upon it trying lots of 'impossible' things very quickly "before the universe notices". [[Special:Contributions/162.158.159.125|162.158.159.125]] 14:19, 25 February 2022 (UTC) | ||
:My favorite "impossible" thing mentioned in the Hitchhiker's Guide is be able to fly by "learning how to throw yourself at the ground and miss". I have done this successfully while dreaming, but have never accomplished it while wide awake. But it is surely worth trying. [[Special:Contributions/108.162.219.49|108.162.219.49]] 15:13, 25 February 2022 (UTC) | :My favorite "impossible" thing mentioned in the Hitchhiker's Guide is be able to fly by "learning how to throw yourself at the ground and miss". I have done this successfully while dreaming, but have never accomplished it while wide awake. But it is surely worth trying. [[Special:Contributions/108.162.219.49|108.162.219.49]] 15:13, 25 February 2022 (UTC) | ||
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:Interestingly, it's impossible to get above 45 mph using any of the units Randall used: Converting 45 mph into any of those units always results in either an integral number or a number with fractional part below 0.5, which would result in rounding down. (I've used https://www.unitconverters.net/speed-converter.html for the more common units).--[[Special:Contributions/172.70.250.159|172.70.250.159]] 17:36, 25 February 2022 (UTC) | :Interestingly, it's impossible to get above 45 mph using any of the units Randall used: Converting 45 mph into any of those units always results in either an integral number or a number with fractional part below 0.5, which would result in rounding down. (I've used https://www.unitconverters.net/speed-converter.html for the more common units).--[[Special:Contributions/172.70.250.159|172.70.250.159]] 17:36, 25 February 2022 (UTC) | ||
:It also reminds me of the Dungeons & Dragons "Peasant Railgun," which abuses a queue of readied actions to accelerate a projectile to relativistic velocities. [[Special:Contributions/172.70.110.163|172.70.110.163]] 19:59, 25 February 2022 (UTC) | :It also reminds me of the Dungeons & Dragons "Peasant Railgun," which abuses a queue of readied actions to accelerate a projectile to relativistic velocities. [[Special:Contributions/172.70.110.163|172.70.110.163]] 19:59, 25 February 2022 (UTC) | ||
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