Recent content by Makadamij

  1. M

    Understanding the heat equation solution derived in this article

    Hello, thank you very much for your detailed answer. The steps you've written seem very intuitive and make physical sense to me. If I understand it correctly, the authors solved the three heat equations in the article for the dc-steady state separately, where they tried to find such a...
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    Understanding the heat equation solution derived in this article

    Hello, it can be found here: http://www.edcc.com.cn/en/upload/newsfile/202008/1596532988i77e2ebw.pdf I have thought a bit and given that my problem actually consists of a system of differential equations rather than individual ones, I probably won't be able to solve any of those two homogenous...
  3. M

    Understanding the heat equation solution derived in this article

    Hello everyone! I'm analysing a scientific paper regarding the theory of the photoacoustic effect. The subject of investigation is a so called photoacoustic cell, in which a higly light-absorbing solid material is placed on a backing material and the rest of the cell is filled with gas (see...
  4. M

    Find the set of points that satisfy:|z|^2 + |z - 2*i|^2 =< 10

    I've spotted the mistake, thank you. The radius is supposed to be 2, not sqrt(5). And also a kind thank you for all the advices. Problem is now solved :)
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    Find the set of points that satisfy:|z|^2 + |z - 2*i|^2 =< 10

    Hello, thank you for participating in my problem. By expressing and expanding I get: |x+yi|^2 + |x+(y-2)i|=< 10 x^2 + y^2 + x^2 + (y-2)^2 =< 10 2x^2 + 2y^2 - 4y + 4 =<10 2x^2 + 2y^2 - 4y =< 6 /:2 x^2 + y^2 - 2y =< 3 This can be transformed to the equation of a circle x^2 + (y-1)^2 - 2 =< 3...
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    Find the set of points that satisfy:|z|^2 + |z - 2*i|^2 =< 10

    Hello everyone, I've been struggling quite a bit with this problem, since I'm not sure how to approach it correctly. The inequality form reminds me of the equation of a circle (x^2 + y^2 = r^2), but I have no idea how to be sure about it. Would it help just to simplify the inequality in terms...
  7. M

    B Why did the water drops bounce instead of vaporizing on the hot cooker?

    After completing an experiment observing a glass of water on a switched-on cooker with an infrared camera, some water drops accidentally landed on the surface of the hot cooker and started to bounce from one point to another until they finally vaporized. I wonder why the drops instead of...
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