765:===I have a simplistic statement statement about science which says, Science consists in Chemistry about what things are, Physics about what things do, and Mathematics about the relative magnitude of things. Of course that's not true. But it brings up the point that the functional logic of Math is not the same as the real Physics of things. And in Physics we may have an infinitude of possibilities and over a long period of time a lot of them have been explored. But As Cotes said in Mottes translation Translation of the "principia" Nature has already picked out the system that it wanted to exist and the question is "What is it? And it's Principles are physical principles and not Mathematical principles. WFPM
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577:(note plural), provided there are some reasonable number (say, four plus) of existing articles that genuinely belong there. However, I would be strongly opposed to any attempt to put articles about models in the sense of model theory into that cat, and I wouldn't be too happy about seeing articles of marginal independent utility created instrumentally for the purpose of populating the category, or existing articles modified in a Procrustean attempt to make them fit. --
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Some of this article appear to be written from within specialized types of modeling. Others are much more general. I've tried to add a little discussion of other types of modeling. I think this article would be made clearer and more accurate if we could compartmentalize discussion such that it is
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Similarly " Under the incentives of monetary rewards that unfortunately have become institutionalized in academia, there is an incentive to publish the minimum quantum of progressed information. Many contributions on mathematical methods have disregarded the spirit of mathematical modelling by using
790:
I think form includes ODE and PDE systems, algebraic systems---includes one-equation models and linear-algebra systems with many euqations---and algorithmic models, such as cellular automata. I would argue that algorithmic models deserve their own section. I tend to think of mathematical models
865:
You are absolutely correct. (And such details aren't trivial at all; that's how civilization erodes little by little.) The word is used professionally where I work, as "modeling". Both
Merriam-Webster and Wiktionary list "modeling" as the primary, and "modelling" as a variant. I don't know why
991:
The removed reference covers techniques of potential application for those working with many areas of mathematical modelling and a request above has been made for more information on grey box modelling. In particular most models are incomplete (i.e. a grey box) and thus need completion and
988:“See also“ “Grey box completion and validation“ has been removed anonymously without explanation from this and several other topics. Following advice from Knowledge if there are no objections (please provide your name and reasons), I plan to reinstate the reference in a weeks time.
910:
Hello I have a small comment concerning the categorisation of mathematical models lumped/distributed parameter models. In my opinion the explanation is inverted. The parameters of a homogeneos system are not distributed but lumped and of a heterogeneos system the opposite.
739:
I think in the "A priori information" section gray-box (semi-physical) modelling needs to be explicitly mentioned. Further, serial-/parallel-modelling approaches should be explained. There are numerous articles on this subject which could be added as references. --
1013:
To clarify why "mathematical" needs to be applied to "model", would this article benefit from a section about other kinds of models besides mathematical ones? The article seems to have construed the concept so broadly as to leave no room for any other kind.
755:
clear which comments apply to which types of modeling. For example, the philosophical discussion in "Model
Evalution" seems nearly universal, whereas the "Building Blocks" section seems applicable more to certain types of modeling than others.
841:
This may be considered a trivial detail, but the spelling of modeling is inconsistent. Is it "modelling" or "modeling". I have used the second all my life and it's more common on the page. I say we adopt one spelling for the whole page.
785:
There's a statement in the first section about the form of mathematical models. The dynamical systems example is usually given in differential form, which indicates that there is a misunderstanding in what is meant by form.
942:, and this article isn't particularly long, so I think this is a case where combining the two can lead to one better article, rather than two less good ones. If no objections I'll go ahead and do this in a week or two.
1029:"Would this article benefit from a section about other kinds of models besides mathematical ones?" I think so. Could you give some examples of models which you would consider to be "other kinds of models"?
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Both spellings are correct. The double-ell spelling is somewhat more associated with
British English and the single-ell with American English, but not exclusively in either direction (see
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969:(just a stub). It doesn't have anything at all to do with time, but whether or not the parameters involved vary continuously, or have discrete (specific) values, such as integers.
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which would be better being merged into this article. Mathematical modelling is mathematical modelling whatever field it's done in, so there's no need to have separate articles.
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Shouldn't the list of prominent scientists be edited? Isn't more appropriate to list
Fourier, Lagrange, Newton etc instead of some guy that least I have never heard of.
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this is interesting, would you include a difference equation as a iterative model? It can be looked at with many analytical tools which are analogous to ODE models.
888:— short version is, because this article is not specific to any particular country, we should go with the established variety in this article, whatever that is. --
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is part of set theory (that is, it can be formalized in set theory). Neither is set theory part of model theory (I very recently changed a claim to that effect in
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718:
Here is my site with mathematical modelling example problems. Someone please put this link in the external links section if you think it's helpful and relevant.
401:
I have put in a link to
Saltelli et al, which is critical of mathematical modeling in support of Covid-19. A more explicit discussion somewhere would be useful.
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The definitions given here don't sound right, and seem to be a copy of those for steady / dynamic models. They also contradict the definitions given in
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validation. This reference seems to be within the appropriate content of the “See also” section see
Knowledge:Manual_of_Style/Layout#See_also_section.
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I would suggest just having a link here to an entry of its own. BTW I consider this article to be an excellent introduction to the topic (Kwaku)
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refer to mathematical models in population dynamics. I am sure other models exists in other fields, physics, chemistry and so on.(
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a synthetic example calculation that has no reference at all to real data or to a practical real-world phenomenon."
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821:. My understanding is that form is simply the way in which the model is communicated between interested parties.
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I've changed the dab line a bit. Model theory is not really part of set theory, except in the sense that, say,
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May I ask why
Computer Science is under Engineering? That's a short-sighted way to view the discipline. --
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480:-link the right one? At least it sounds like it has something to do with mathematical modelling :) --
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In other news, "Procrustean" is an awesome word, and I must find an opportunity to use it myself.
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Yeah, that's the kind of thing that belongs in the proposed cat, without stretching any points. --
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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someone went and made it consistently wrong since your post; I'm going to change it back.
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Well the entry under set theory doesn't even mention the word 'model'. (Kwaku)
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Yes it is. I have tidied the links where each article references the other. --
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Should we include here the formal meaning of 'model' from axiomatic set theory?
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How about modelling complex systems through means of math equations? Say,
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Mathematical
Modeling in Religion, e.g. the Bible and the #7, 12 and 40
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may as well stay put, however; it's already got a dab notice on top.
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https://www.sciencedirect.com/science/article/pii/S0895717713002690
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http://www.exampleproblems.com/index.php/PDE:Mathematical_Modeling
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Do we have an emerging consensus to re-create the category as
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No, the method by which a solution is found is separate from
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separately from iterative, rules-based, algorithmic models.
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If that's the proposed content of the cat, why not name it
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Which sections are applicable to which types of modeling?
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Knowledge:Categories for deletion/Log/2005 November 26
217:, a collaborative effort to improve the coverage of
112:, a collaborative effort to improve the coverage of
882:American and British English spelling differences
735:Mention and explain more fully gray-box modelling
1120:Knowledge level-5 vital articles in Mathematics
730:Mathematical model using Differential Equation
463:I agree (that you should just add an link). --
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562:No, according to arguments posted at
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551:Kbdank71#Category:Mathematical_model
378:This article is within the field of
316:This article is within the scope of
211:This article is within the scope of
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49:It is of interest to the following
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539:. Please discuss. Thanks,--
535:I propose the re-creation of
336:Knowledge:WikiProject Systems
231:Knowledge:WikiProject Physics
225:and see a list of open tasks.
120:and see a list of open tasks.
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677:, should the article
630:Sounds reasonable. --
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687:Carl Hewitt
685:? Thanks,--
681:be renamed
644:Carl Hewitt
555:Carl Hewitt
541:Carl Hewitt
123:Mathematics
114:mathematics
70:Mathematics
1094:Categories
996:BillWhiten
940:since 2004
553:Regards,--
890:Trovatore
886:WP:ENGVAR
632:Trovatore
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549:See also
505:Trovatore
490:The Anome
397:Critiques
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