Proof that the number of digits in a whole number is $\lfloor \log_{10}(n)\rfloor + 1$
1715
Proof: How many digits does a number have? $\lfloor \log_{10} n \rfloor +1$
17285
Proof of greatest integer theorem: floor function is well-defined
7003
Inductive proof of a formula for Fibonacci numbers
76828
Evaluating $\sum_{i = 0}^{\lfloor n/2 \rfloor} {n \choose 2i}p^{2i}(1 - p)^{n - 2i}$
5934
How to prove floor identities?
21802
Prove $\sum_{d \leq x} \mu(d)\left\lfloor \frac xd \right\rfloor = 1 $
158395
Find $\lfloor {\alpha}^6 \rfloor$
71639
Proof $(1+1/n)^n$ is an increasing sequence
107258
Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$
8192
Simple proof of showing the Harmonic number $H_n = \Theta (\log n)$
45788
$n$-th digit in the sequence of natural numbers
48051
Proof related to natural numbers
117262
Proving a logarithm inequality
129163
Showing that every positive integer can be represented in this form
138316
A simple inequality for floor function
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
40973
How to find $\lfloor 1/\sqrt{1}+1/\sqrt{2}+\dots+1/\sqrt{100}\rfloor $ without a calculator?