Comments on: Algorithmics problem seeking experts http://trilema.com/2018/algorithmics-problem-seeking-experts/ Moving targets for a fast crowd. Thu, 14 May 2026 14:34:05 +0000 http://polimedia.us hourly 1 By: Mircea Popescu http://trilema.com/2018/algorithmics-problem-seeking-experts/#comment-126547 Mircea Popescu Fri, 24 Aug 2018 14:24:05 +0000 http://trilema.com/?p=80781#comment-126547 What does this mean, "at the expense of quantity" ? Stack counts are invariant, there's nothing you can do mixing that'll change the quantity of items. That's reserved for crafting. What does this mean, "at the expense of quantity" ? Stack counts are invariant, there's nothing you can do mixing that'll change the quantity of items. That's reserved for crafting.

]]> By: Dr.A http://trilema.com/2018/algorithmics-problem-seeking-experts/#comment-126546 Dr.A Fri, 24 Aug 2018 14:11:40 +0000 http://trilema.com/?p=80781#comment-126546 Would it be acceptable while mixing quantities of different quality to (sometimes) preserve quality at the expense of quantity (the condition being quality as a number is smaller than quantity)? Ex: ending in your example with 10 009 Coarse Frangible Thread quality 100 Would it be acceptable while mixing quantities of different quality to (sometimes) preserve quality at the expense of quantity (the condition being quality as a number is smaller than quantity)?
Ex: ending in your example with 10 009 Coarse Frangible Thread quality 100

]]> By: Mircea Popescu http://trilema.com/2018/algorithmics-problem-seeking-experts/#comment-126543 Mircea Popescu Thu, 23 Aug 2018 16:40:28 +0000 http://trilema.com/?p=80781#comment-126543 Which indeed reduces to factorizing the sum of the "masses", ie count-quality products. Which indeed reduces to factorizing the sum of the "masses", ie count-quality products.

]]> By: Stanislav Datskovskiy http://trilema.com/2018/algorithmics-problem-seeking-experts/#comment-126542 Stanislav Datskovskiy Thu, 23 Aug 2018 16:30:51 +0000 http://trilema.com/?p=80781#comment-126542 Mocky: Let Na be the size of pile A, Qa quality of same, Nb is size of pile B, Qb is quality of same. A mix satisfies equation K(Na+Nb) == NaQa + NbQb. K is the quality of the resulting mix, and must be integer if you want "mass-conservation". Now work out the table for all 4 possible oddnesses and evennesses for Na,Qa,Nb,Qb, see which ones allow an integer K. Mocky:

Let Na be the size of pile A, Qa quality of same, Nb is size of pile B, Qb is quality of same.

A mix satisfies equation K(Na+Nb) == NaQa + NbQb.

K is the quality of the resulting mix, and must be integer if you want "mass-conservation".

Now work out the table for all 4 possible oddnesses and evennesses for Na,Qa,Nb,Qb, see which ones allow an integer K.

]]> By: Mircea Popescu http://trilema.com/2018/algorithmics-problem-seeking-experts/#comment-126541 Mircea Popescu Thu, 23 Aug 2018 15:59:53 +0000 http://trilema.com/?p=80781#comment-126541 This is not strictly speaking true : taking 11 items out of a quality 120 stack and dropping them on a stack of 132 items quality 55 will result in a stack of 143 items quality 60 with no loss. This'd be the spark through the dielectric, basic properties of numbers, as hinted <a href=http://btcbase.org/log/2018-08-23#1843781 >in the logs</a>. This is not strictly speaking true : taking 11 items out of a quality 120 stack and dropping them on a stack of 132 items quality 55 will result in a stack of 143 items quality 60 with no loss. This'd be the spark through the dielectric, basic properties of numbers, as hinted in the logs.

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