John Hilbert

### Questions (7)

 23 What loops are possible when doing this function to the rationals? 6 Purely geometric proof of inverse trigonometric functions derivatives 5 Is there a simple function $f(x)$ that follows $2$ rules when $x$ is rational? 5 Is there a formula for $f(x)$ where $f(x)=$ the sum all simplest fractions with the numerator$+$denominator equals $x$ 5 Evaluating the recurrence $f_k(x)= f'_{k-1}(x)+f_{k-1}(x) f_1(x)$ with $f_0(x)=1$, $f_1(x)=e^x$

### Reputation (672)

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 3 Can you prove that a seeming growing sequence goes to infinity? 2 What is the actual meaning of second derivative? 0 How many fruit are there after a night on an alien planet

### Tags (20)

 3 number-theory × 3 0 recreational-mathematics × 2 3 prime-numbers 0 recurrence-relations × 2 2 calculus × 3 0 sequences-and-series × 2 0 functions × 4 0 simple-functions 0 real-analysis × 2 0 stirling-numbers

### Bookmarks (19)

 13 Can you find a function $\beta(x)$ where if $a+b=n^m$ then $\beta(\frac{a}{b})$ is irrational? 12 Simplify the radical $\sqrt{x-\sqrt{x+\sqrt{x-…}}}$ 11 Is there an irrational number that the digits never repeat anywhere and have all 10 digits appear everywhere? 9 Is there a way to analytically extend $x^2+x^3+x^5+x^7+\cdots+x^{p_n}+\cdots$? 8 $\lfloor\frac12+\frac1{2^2}+\frac1{2^3}+\cdots\rfloor\;$ vs $\;\lim_{n\to\infty}\lfloor\frac12+\frac1{2^2}+\cdots+\frac1{2^n}\rfloor$

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