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Originally Posted by SinJin Could this have any relation to the universe? |
Before we attempt to connect sequences of numbers to the universe, we need to make some basic assumptions about the universe itself. Let's start with two basic assumptions.
1. the universe will expand forever.
2. the universe is in a steady state, i.e., it has never expanded, it has never changed, it is the same yesterday, today, and tomorrow.
The first implies continuous change. The second implies no change. There are infinite series of numbers that can be applied to these assumptions. And the varieties can be found among the following series:
1. arithmetic series.
2. geometric series.
3. hypergeometric series.
4. Fourier series.
5. harmonic series.
6. alternating series.
7. telescoping series.
8. power series.
9. Taylor series.
10. asymptotic series, and many more not mentioned.
The importance about infinite series is really a test for convergence or the existence of constants of limits.