Wikidata:Property proposal/step count
step count
editOriginally proposed at Wikidata:Property proposal/Natural science
Description | the number of previous steps used in a calculating the next step of an iterative method |
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Data type | Quantity |
Domain | iterative methods |
Allowed values | positive integers |
Allowed units | none |
Example 1 | Euler method (Q868454) → 1 |
Example 2 | second-order Adams–Bashforth method (Q97613851) → 2 |
Example 3 | explicit Runge–Kutta method (Q51846055) → 1 |
Example 4 | For any instance of linear multistep method (Q1462003), we will have <item> → s (where s is any positive integer, which depends on the particular method). |
Format and edit filter validation | to-do: only allow positive numbers. We can probably choose an upper bound because iterative methods don't use more than a few steps (As far as I know, at least!). |
Planned use | classify lineary multistep methods. |
Number of IDs in source | N/A |
See also | number of stages (Q97672364) |
Motivation
editOne of the defining characteristics of an iterative numerical method is the number of previous steps that are used to calculate the next step of the iteration. This value affects the memory requirements, computational expense, and the accuracy of the calculations. Multistep methods can also cause indexing problems at the beginning and end of an array. For this reason, it would be useful to classify numerical methods according to the step count.
In particular, I am planning to use this property to classify instances of linear multistep method (Q1462003). However, it could also be applied to other types of algorithms (I believe there are multistep algorithms for numerical optimization). The-erinaceous-one (talk) 08:22, 28 July 2020 (UTC)
Discussion
editNotified participants of WikiProject Mathematics
Question Do all methods use a constant number of steps? It is possible that a particular method uses an adaptive step count (though I don't know of such a method). How should we handle such a case? The-erinaceous-one (talk) 08:22, 28 July 2020 (UTC)
Oppose There are too many "number of" properties already. Use quantity (P1114) as qualifier instead. /ℇsquilo 07:44, 10 August 2020 (UTC)
Withdrawn I withdraw the proposal, per User:Esquilo's comment. The-erinaceous-one (talk) 15:17, 12 August 2020 (UTC)