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What's the definition of basic algebra that makes that fact obvious? I took 3 semesters of algebra in college (Linear Algebra, Abstract Algebra I and II), and d
by nandemo 10y ago
What's the definition of basic algebra that makes that fact obvious? I took 3 semesters of algebra in college (Linear Algebra, Abstract Algebra I and II), and don't see anything obvious about it. But then, neither does Terry Tao:
> "the powers φ, φ2, φ3, … of the golden ratio lie unexpectedly close to integers...
- Grue3 10y agoIt becomes obvious when you know closed form expression for Fibonacci numbers as a sum of powers of phi (which I'm sure Tao is aware of). I was taught that in high school. The only reason this wouldn't be obvious to Tao is if he was working on much harder problems for so long that he forgot the basic stuff.