Question

Calculate $ \left \lfloor \frac{2017^{3}}{2015 \cdot 2016} - \frac{2015^{3}}{2016 \cdot 2017} \right \rfloor $

score 66 · Answer 1 · 2019-09-09 04:34:43

Calculate $ \left \lfloor \frac{2017^{3}}{2015 \cdot 2016} - \frac{2015^{3}}{2016 \cdot 2017} \right \rfloor $

Published on 09 Sep 2019 - 4:34

score 195 · Answer 2 · 2019-09-09 12:14:19

Showing that $\lfloor\frac{x-1}3\rfloor=\lfloor\frac{x}3+\frac23\rfloor-1$ and $\lfloor\frac{x+1}3\rfloor=\lfloor\frac{x}3+\frac13\rfloor$.

score 42 · Answer 3 · 2019-09-09 12:54:14

Showing that $\lfloor\frac{x-1}3\rfloor=\lfloor\frac{x}3+\frac23\rfloor-1$ and $\lfloor\frac{x+1}3\rfloor=\lfloor\frac{x}3+\frac13\rfloor$

score 188 · Answer 4 · 2019-09-11 04:58:09

188

Views

Proper way to solve $\lim\limits_{x\rightarrow\infty}\left[\frac{6}{x}\right]\frac{x}{3}$

Published on 11 Sep 2019 - 4:58

score 24.2k · Answer 5 · 2019-09-12 08:26:16

24.2k

Views

What is the mathematical notation for rounding a given number to the nearest integer?

Published on 12 Sep 2019 - 8:26

score 101 · Answer 6 · 2019-09-13 22:02:53

101

Views

Prove that $\lceil 2x\rceil =\lceil x\rceil +\lceil x+1/2\rceil$ -1 for all $x$ in $\mathbb R$

Published on 13 Sep 2019 - 22:02

score 66 · Answer 7 · 2026-03-25 17:17:03

66

Views

Partial Divisor Summatory Function Calculation

Published on 25 Mar 2026 - 17:17

score 466 · Answer 8 · 2026-03-25 17:26:57

466

Views

On the sum of sum of divisors $\sum_{a=1}^{N} D \left({\left\lfloor{\frac{N}{a}}\right\rfloor}\right)$.

Published on 25 Mar 2026 - 17:26

score 108 · Answer 9 · 2019-09-19 01:37:28

108

Views

Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

Published on 19 Sep 2019 - 1:37

score 46 · Answer 10 · 2026-03-25 19:03:28

46

Views

Largest and smallest number that has k less digits in next number base

Published on 25 Mar 2026 - 19:03

score 70 · Answer 11 · 2019-09-20 14:15:28

70

Views

To find a sum of i(floor2019/i-floor2019/(i-1), i range from 2 to 2019

Published on 20 Sep 2019 - 14:15

score 56 · Answer 12 · 2019-09-25 18:46:54

56

Views

The Airy functions and miscellaneous sequences of odd integers without repeated prime factors

Published on 25 Sep 2019 - 18:46

score 151 · Answer 13 · 2026-03-25 14:27:17

151

Views

Understanding a particular algorithm that computes $\sum\limits_{i=1}^n\lfloor\frac ni\rfloor$ with complexity less than $O(n)$

Published on 25 Mar 2026 - 14:27

score 243 · Answer 14 · 2019-09-27 03:50:34

243

Views

If $x\Big\lfloor x \big\lfloor x\lfloor x \rfloor \big\rfloor \Big\rfloor=2018$, find $x$

Published on 27 Sep 2019 - 3:50

score 84 · Answer 15 · 2019-09-27 15:06:11

84

Views

Integral of $[\frac{1}{x}]^{-1}$ on $(0,1]$

Published on 27 Sep 2019 - 15:06

List Question

Calculate $ \left \lfloor \frac{2017^{3}}{2015 \cdot 2016} - \frac{2015^{3}}{2016 \cdot 2017} \right \rfloor $

Showing that $\lfloor\frac{x-1}3\rfloor=\lfloor\frac{x}3+\frac23\rfloor-1$ and $\lfloor\frac{x+1}3\rfloor=\lfloor\frac{x}3+\frac13\rfloor$.

Showing that $\lfloor\frac{x-1}3\rfloor=\lfloor\frac{x}3+\frac23\rfloor-1$ and $\lfloor\frac{x+1}3\rfloor=\lfloor\frac{x}3+\frac13\rfloor$

Proper way to solve $\lim\limits_{x\rightarrow\infty}\left[\frac{6}{x}\right]\frac{x}{3}$

What is the mathematical notation for rounding a given number to the nearest integer?

Prove that $\lceil 2x\rceil =\lceil x\rceil +\lceil x+1/2\rceil$ -1 for all $x$ in $\mathbb R$

Partial Divisor Summatory Function Calculation

On the sum of sum of divisors $\sum_{a=1}^{N} D \left({\left\lfloor{\frac{N}{a}}\right\rfloor}\right)$.

Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

Largest and smallest number that has k less digits in next number base

To find a sum of i(floor2019/i-floor2019/(i-1), i range from 2 to 2019

The Airy functions and miscellaneous sequences of odd integers without repeated prime factors

Understanding a particular algorithm that computes $\sum\limits_{i=1}^n\lfloor\frac ni\rfloor$ with complexity less than $O(n)$

If $x\Big\lfloor x \big\lfloor x\lfloor x \rfloor \big\rfloor \Big\rfloor=2018$, find $x$

Integral of $[\frac{1}{x}]^{-1}$ on $(0,1]$

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