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Faced by the same question and a background that includes courses in vector calculus, I have sought a simpler answer. My answer is much that same as to why one can easily balance on a typical bicycle. Bicycles are constructed so that the point where the extension of the front fork pivot would hit the ground is in front of the point where the front tire ...


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The fractional dimensional space approach (FDSA) can be adopted to introduce flexibility in examining optoelectronic properties in anisotropic systems (quantum dot, wells etc). Here the material are fitted to models that utilize a variable dimension, (alpha) which has provided good agreement with experimental results in many works. This is because the ...


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In the long run I don't think it matters much which of the two you study now. If you truly understand calculus in 2-3 dimensions, you won't have too much trouble generalizing your understanding to $N$ dimensions. On the other hand, if you want to do research in condensed matter, you will need linear algebra anyway, so there's no harm in picking up that topic ...


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I just found that second volume of Gas Dynamics by Zucrow wholly deals with the use of Method of Characteristics to solve various kinds of flow problems. I hope it will solve my problem.


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I see that your goal is to design a supersonic nozzle. I will answer your questions with that in mind. I want to know what it is It is a method for solving hyperbolic partial differential equations. In the case of supersonic flow, the method of characteristics defines paths through the flow for which certain quantities are known (or easily ...


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Self-similarity and chaos have been very influential in physics. They help us understand a lot of very interesting physical phenomena on the macroscopic scale, especially fluid flow and many-body problems. So, you can study these things and not be labelled a crank by physicists. But (you heard the "but" coming, right?) if you are talking about ...



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