Timeline for How to define some functions automatically?
Current License: CC BY-SA 4.0
20 events
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| Sep 21, 2020 at 8:51 | history | edited | J. M.'s missing motivation♦ |
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| Sep 21, 2020 at 5:26 | comment | added | A little mouse on the pampas | @CATrevillian Thank you for your answer. I have posted a feasible method below. I hope you can provide more methods. | |
| Sep 21, 2020 at 5:25 | answer | added | A little mouse on the pampas | timeline score: 0 | |
| Sep 21, 2020 at 4:17 | vote | accept | A little mouse on the pampas | ||
| Sep 21, 2020 at 4:06 | comment | added | CA Trevillian | @Alittlemouseonthepampas is what I posted not what you are looking for? It does it automatically. If you’re asking to perform the initial conditions/values automatically, that is something that does not work from an algorithmic standpoint, if I’m using the correct terminology. You would need to redefine your function definitions if that’s what you want to do, which is quite outside the scope of this question & would involve the use not of Mathematica, but pen & paper to derive the proper expression so as to not need to define x[1, 0], x[2, 0], and x[3, 0] yourself. | |
| Sep 21, 2020 at 3:10 | history | edited | A little mouse on the pampas | CC BY-SA 4.0 |
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| Sep 21, 2020 at 2:11 | comment | added | Michael E2 |
IDK, and please understand I don't have time to figure out what you want to do this evening. All I saw was Table and Hold, and you need With to insert the value of i, as I showed. It does exactly what I would want it to do. If it doesn't work for you, I can only think you don't know what Hold does and decided to stick it in for no reason. What happens if you leave it out or use ReleaseHold?
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| Sep 21, 2020 at 1:57 | comment | added | A little mouse on the pampas |
@MichaelE2 But Table[With[{i = i}, Hold[x[i, k_] := x[i, k] = \[CapitalDelta]x[i]]], {i, 1, n}] can't define the function I want, so that the code x[1, 0] = 1.; x[2, 0] = 1.; x[3, 0] = 1.; Table[{x[1, i], x[2, i], x[3, i]}, {i, 0, 10}] can't run.
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| Sep 20, 2020 at 23:30 | comment | added | Michael E2 | That's exactly what I meant. | |
| Sep 20, 2020 at 23:02 | comment | added | A little mouse on the pampas |
@MichaelE2 Thank you. Can you write it in detail? I still can't meet the requirements by using Table[With[{i = i}, Hold[x[i, k_] := x[i, k] = \[CapitalDelta]x[i]]], {i, 1, n}].
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| Sep 20, 2020 at 20:19 | comment | added | Michael E2 |
Table[With[{i = i}, Hold[...i...]], {i, n}] maybe. See docs for With, under Scope.
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| Sep 20, 2020 at 18:51 | answer | added | CA Trevillian | timeline score: 3 | |
| Sep 20, 2020 at 18:21 | comment | added | CA Trevillian |
Is the Δx function that you have what creates the functions you show below it that you want to define automatically? It seems to be so. This should not be entirely non-trivial to achieve then.
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| Sep 20, 2020 at 9:58 | history | edited | A little mouse on the pampas | CC BY-SA 4.0 |
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| Sep 20, 2020 at 5:35 | comment | added | A little mouse on the pampas | @CATrevillian Thank you for your comments. I've revised the problem statement. | |
| Sep 20, 2020 at 5:34 | history | edited | A little mouse on the pampas | CC BY-SA 4.0 |
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| Sep 20, 2020 at 4:55 | history | edited | J. M.'s missing motivation♦ |
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| Sep 20, 2020 at 4:51 | comment | added | CA Trevillian | Maybe it’s not exactly clear what you’re asking? At least to me it is not clear. If you define all of those expressions as you have written them, does it not run? What is the issue with it? Do errors appear? If so, what are they? | |
| Sep 20, 2020 at 1:28 | history | edited | A little mouse on the pampas | CC BY-SA 4.0 |
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| Sep 20, 2020 at 1:22 | history | asked | A little mouse on the pampas | CC BY-SA 4.0 |