| 1 | The conclusion is that the Hilbert Hotel can' t accommodate all the real numbers. | |
| 2 | So, as advertised, there' s always room at the Hilbert Hotel. | |
| 3 | The reconstruction signals were demodulated with Hilbert transform, and envelope spectrum at each band was obtained. | |
| 4 | But rather than working directly with sets of numbers or points, let me follow an approach introduced by Hilbert himself. | |
| 5 | Such interference effects lie at the heart of many quantum phenomena, and find a natural description in Hilbert's mathematics. |
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