Recent content by Feymar

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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    Sorry for the late reply. I went to the library and also some more YT courses on the topic, that explain it more vividly thanks to animation, than a professor could. Of course, some things were just analogies to the abstractions that were happening. And I invested a lot into actually coming to...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    My vocabulary is infinitely limited to express the gratitude I feel for your and the work you put in educating me and everybody else here. Thank you, and there is nothing to apologize, since you were completely right in the previous post, and I took it as constructive criticism, and actually sat...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    Indeed. Thank you so much for you patience and time.
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    I understand here your counter argument, but since we (engineers in this program), were mainly thought to do second order partials from the first order partials, i.e. for Fxy and Fyx to exist, there must exist Fx and Fy and be differentiable, and since I thought that the existence Fxy and Fyx...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    So here was my thought process: If second mixed partials are continuous, then they are equivalent. If second mixed partials are continuous, then the original function is C², and therefore continuous. Therefore, if the second mixed partials are equivalent, the function itself is continuous...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    Apparently, according to this post: https://math.stackexchange.com/questions/2095484/clairauts-theorem-is-reversible?noredirect=1&lq=1 Clairaut-Schwarz Theorem is not reversible, i.e. equivalence of mixed partials does not prove a function to be continuous and an example was provided. What a...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    I am aware of the examples provided, however, they talk about the mere existence of some or all partial derivatives, I am specifically asking if the equivalence of second partial mixed derivatives guarantees me, rigorously, that the function is continuous, in reference to the part of Schwarz's...
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    I Can Schwarz's Theorem be used "Backwards" to prove continuity?

    Hey folks, long story short, the Schwarz Theorem, that says that a continuous function has equivalent second partial (mixed) derivatives, can it be used "backwards", i.e. if I can show that the mixed partials are equivalent, that it proves that the function itself is continuous? And if not, why...
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    How to search topics by keywords here?

    Oh, goodness me! I was dying over here trying to find a filter around the topic interface for keywords, while the huge "SEARCH" was quietly looming in the corner all the time, probably laughing at me and my incompetence to find things. Sorry for the nonsense topic of a seemingly blind mole-man...
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    How to search topics by keywords here?

    Hey all, I have a few questions that I believe are not that uncommon, so I would like to search for the keywords on the topic on the various sub-forums, but in the filter-menu I can only search by poster and prefix? Is there no way to search for keywords? I truly believe that most of my...
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    Engineering Which Engineering Degree is Best for Working in Energy?

    Hello, I've googled my issue, but couldn't find some practical advice on the matter, rather some differences between Mechanical Engineering and Electrical Engineering in general. So, which one would be better if one wishes to work in the energy industry, namely Nuclear Energy, but maybe also...
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    Proof of irrationality of sqrt2 in Penroses Road to Reality

    Hello Everybody, I hope that I've picked the right sub-forum for my question. The problem is as follows: I understand perfectly well the proof by contradiction of the irrationality of the square root of 2, where we prove that if we assume that it is rational, then the integers of which the...
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    Start University Education in Mid Twenties: EU Handicaps & Career Impact

    Hello folks, -Is it unusual that people start their university education in their mid twenties in the EU, and does it come with any handicaps, like additional fees , additional papperwork and similar? -Also, in your opinion, how does it affect carreers, given that the student did...
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