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I am 22 years old and studied physics and mathematics while in university.
I currently work as a biochemistry lab technician.
While we use (multiple) other softwares for modeling and data analysis, I would like to utilize Mathematica instead; so, I'm at the beginning of a number of learning curves.
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1d |
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Indexing of Large System of Equations for Use in NDSolve @ruebenko @Jonathan I've attached example equations of the type I'm working with (in fairly large number, ~150). Thank you, I'm glad to hear the indexing idea is feasible. I've ran into minor hiccups in working within NDSolve with nicknamed equations = {functions} for the list of functions and their initial conditions, but haven't had time to troubleshoot the errors properly, so hearing you say it's feasible is good. The purpose of this question was to make sure that indexing like this, ie. using`z[[n]]` with NDSolve and obtain equation-specific quantities of interest? |
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1d |
revised |
Indexing of Large System of Equations for Use in NDSolve added 255 characters in body |
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1d |
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Indexing of Large System of Equations for Use in NDSolve Certainly, one moment and I'll update the question more accordingly. Thanks, sorry for the delay. |
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May 18 |
asked | Indexing of Large System of Equations for Use in NDSolve |
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May 13 |
comment |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) Thank you, I think it does; this will be useful down the road when I'm dealing with more than two unique subscripted k's. Sorry to have not noticed your answer until now. |
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May 12 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) #Jonathan #bill Despite updating and marking the question as answered yesterday, I just saw these added comments. I will look into this, as visualization of what is going on in this system demands matrices, I think. Thankfully, it is linear. As (some fellow said), "God is not so cruel as to make many situations described by non-linear differential equations..." or so I hope. ;) |
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May 12 |
accepted | Mass Symbolic Manipulation with Subscripts? (from plaintext Input) |
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May 12 |
revised |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) clarified context of the answer for future readers |
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May 12 |
comment |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) Thank you, I'll the look into both Array and the coefficient matrix method you suggest here. At first, I was dismayed that someone might come here hoping to simply make all their characters subscripts instead of (whatever), but I actually just figured that out as well. Lord, I don't know why I didn't see this sitting in front of my face from the documentation: (after dealing with the easy k_f, k_d, terms from the example we have)
expr /. z[p_] -> Subscript[z, p]
Where it does work despite the sinister similarity in appearance with function notation brackets in Mathematica.
@bill |
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May 12 |
revised |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) added a question mark to the title to leave open the possibility of other notation structures, as the only answer suggested (for ease of lookup for other users). |
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May 11 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) @bill I updated the question to show better what I am working with. Thank you. |
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May 11 |
revised |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) clarity |
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May 11 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) @bill Also, my mentioning that I have it in the form of z[n] already may make more clear why I aim to use subscripts for the k components (and likely changing the z[n] components to z_n as well given Mathematica's use of these brackets for a constant expression f[n], since the form of z will vary more than in my example at the end of the comment above). |
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May 11 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) Your mentioning arrays simplifies the more intimidating side of what I'm attempting to do, omitted from my question initially for the sake of simplicity. I'm much more interested in applying your array concept to 140 functions of the form z[n] where z[140] is described in terms of z[139] and so forth. Given previous use of other software, I have them in the form of z[n-1] as a function of z[n] in plaintext already, with slight variations from z[n] to z[n-1]. In your opinion, is combining the Arrayfunction with z[n] = k_x*z[n-1] and z[n-1] = k_y*z[n-2], etc. plausible? |
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May 11 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) @bill To bolster the scientific respectability of varying multiple variables in a large system of single-variable ODE's, we DO have methods of acquiring decent approximations of each instatiation of k_z beforehand. So in short, time is the independant variable, whereas the k_z terms are coefficients dependant upon physical parameters that I would like to vary manually. (In clarification for my previous comment) |
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May 11 |
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Mass Symbolic Manipulation with Subscripts? (from plaintext Input) @bill I have managed to yield the subscripted component successfully for any one, my problem is in doing it for ANY of them without specifying each rule separately (which would be a list of 100+ rules for each time z changes). I'm going to be using it for manipulation of a large system of (100+) differential equations. There will be curve-fitting involved, varying the k_z variables to best fit. Does it sound as if subscripts are generally a bad idea? |
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May 11 |
revised |
Mass Symbolic Manipulation with Subscripts? (from plaintext Input) edited title |
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May 11 |
asked | Mass Symbolic Manipulation with Subscripts? (from plaintext Input) |
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May 11 |
awarded | Talkative |
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May 11 |
revised |
Labelling Curves Using ListLogLinearPlot within DynamicModule (So Close) specified title better |
