Timeline for Why are polynomials so useful in mathematics?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2014 at 19:45 | comment | added | David Lampert | We are finite creatures trying to understand the infinite, like blind men around an illusory elephant. We linearize to quantify. Polynomials conform to these limitations and yet are mysterious and powerful to advance and empower us. Yet, their peculiarities suggest to me imperfect representations of chaotic exponential infinite nature and maybe we myopically fixate on them. | |
| Jul 12, 2014 at 18:18 | review | Low quality posts | |||
| Jul 12, 2014 at 18:28 | |||||
| Jun 15, 2014 at 19:57 | comment | added | Vectornaut | If I'm reading arXiv:1203.4667 right, there's a very precise (but maybe unrelated) connection between polynomials and computational complexity. The Turing machine model of computation is apparently equivalent, from a complexity theory perspective, to Shannon's "General Purpose Analog Computer" (GPAC) model, and a function can be computed by a GPAC if and only if it's a coordinate of a solution to a differential equation $\dot{y} = p(y)$, where $p$ is a polynomial function from $\mathbb{R}^n$ to itself. | |
| Jun 15, 2014 at 17:12 | review | First posts | |||
| Jun 15, 2014 at 17:12 | |||||
| Jun 15, 2014 at 17:00 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Jun 15, 2014 at 16:52 | history | answered | Count Iblis | CC BY-SA 3.0 |