half-integer fan
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 5 Why is $\log(\sqrt{x^2+1}+x)$ odd? 4 Proving for every odd number $x$, $x^2$ is always congruent to $1$ or $9$ modulo $24$ 4 Unique digit fraction 4 Continued fraction of a square root 3 How can I prove this inequality involving the primes?

### Reputation (785)

 +10 Why are these angles equal for object on inclined plane? +10 Differential Equations and Newtons method +10 Derivative word problem - $s''(t) = a$, i.e the acceleration is constant and $(1) [s'(t)]^2 = 2as(t)$ +10 When proving a statement by induction, how do we know which case is the valid 'base'?

### Questions (3)

 2 Inverting $\frac{\log(p-1)}{\log\ p}$ 1 Can we determine which statements are incomplete due to Godel? 1 Any work on properties of $N + \bar \phi (N)$?

### Tags (43)

 8 inequality × 6 4 probability × 3 7 elementary-number-theory × 7 4 continued-fractions × 2 5 number-theory × 4 4 discrete-mathematics 5 functions 2 divisor-sum × 2 4 prime-numbers × 4 2 geometry × 2

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