Curvature alone does not rule out an inner product. A space can have curvature but when you zoom into a tiny neighborhood of any point, then there are inner products, angles, right angles and orthogonal vectors. They are local to that point. As long as you have them, you should (judicio...
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Orthogonal Frequency Division Multiple Access (OFDMA)is one of the ways this is achieved. OFDMA works by subdividing channels into subcarriers and allowing for transmission to multiple endpoints (devices) at the same time. A Wi-Fi 6 router can send different signals in the same transmission windo...
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“” analogue of the ““-based mass increment argument (or the ““-based density increment argument), in which one seeks to increments the amount of “energy” that captures from some reference object , or (equivalently) to decrement the amount of energy of which is still “orthogonal” ...
What is the orthogonal collocation method? Can you transpose both sides of an equation? Which of the following four lines are parallel?Are any of them identical? L_1: x = 1 + 6t, y = 1 - 3t, z = 12t + 5, L_2: x = 1 + 2t, y = t, z = 1 + 4t, L_3: 2x - 2 =...
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Ben Green and I have just uploaded to the arXiv our paper, “The Möbius function is asymptotically orthogonal to nilsequences“, which is a sequel to our earlier paper “The quantitative behaviour of polynomial orbits on nilmanifolds“, which I talked about in this post. In this paper, ...
What does it mean for a function to be orthogonal? What makes something not a function? For the following, what is the result of acting the given operator on the given function? Is the function an eigenfunction or the operator? Operate \ha...