Question

Evaluating $\int_{0}^1 \ln \left\lfloor \frac{1}{x} \right\rfloor dx$

score 253 · Answer 1 · 2019-11-28 06:17:10

253

Views

Evaluating $\int_{0}^1 \ln \left\lfloor \frac{1}{x} \right\rfloor dx$

Published on 28 Nov 2019 - 6:17

score 632 · Answer 2 · 2019-11-29 21:51:57

632

Views

Mathematical Induction Involving The Floor Function

Published on 29 Nov 2019 - 21:51

score 480 · Answer 3 · 2019-11-30 00:32:40

480

Views

Closed form of sum $\sum\limits_{k=1}^{\infty } \frac{(-1)^{k+1}}{\left\lfloor \sqrt{k}\right\rfloor}$

Published on 30 Nov 2019 - 0:32

score 59 · Answer 4 · 2019-11-30 05:38:15

59

Views

floor function for the following function.

Published on 30 Nov 2019 - 5:38

score 93 · Answer 5 · 2019-11-30 22:58:08

93

Views

Closed expression for sum $\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}\left\lfloor k^{\frac{2}{3}}\right\rfloor$

Published on 30 Nov 2019 - 22:58

score 81 · Answer 6 · 2019-12-01 00:57:20

81

Views

Find $\left \lfloor{(x+y)^4}\right \rfloor$ if $3x^2-2xy+3y^2-8y+6=0$.

Published on 01 Dec 2019 - 0:57

score 324 · Answer 7 · 2019-12-01 15:40:50

324

Views

Recurrence relation involving floor function.

Published on 01 Dec 2019 - 15:40

score 90 · Answer 8 · 2019-12-02 05:56:19

90

Views

How to solve $2x^2-2\lfloor x \rfloor-1=0$

Published on 02 Dec 2019 - 5:56

score 361 · Answer 9 · 2026-03-25 17:20:04

361

Views

Golden ratio and floor function $\lfloor \phi ^2 n \rfloor - \lfloor \phi \lfloor \phi n \rfloor \rfloor = 1$ where $\phi = \frac{1+\sqrt{5}}{2}$

Published on 25 Mar 2026 - 17:20

score 147 · Answer 10 · 2019-12-03 19:07:09

147

Views

Strange pattern in $x\sin(\left \lceil{x}\right \rceil )$.

Published on 03 Dec 2019 - 19:07

score 32 · Answer 11 · 2019-12-03 21:11:47

32

Views

Proof that $\forall k\in\mathbb Z^+$, $\lfloor\log_2(2k+1)\rfloor=\lfloor\log_2(2k)\rfloor$

Published on 03 Dec 2019 - 21:11

score 136 · Answer 12 · 2019-12-08 04:38:36

136

Views

Differences in sequence only yield a few values?

Published on 08 Dec 2019 - 4:38

score 47 · Answer 13 · 2026-03-25 12:50:59

47

Views

If $x=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{1000000}}$, what is the value of $\lfloor{x}\rfloor$?

Published on 25 Mar 2026 - 12:50

score 30 · Answer 14 · 2019-12-09 18:50:57

30

Views

Real sequences and ceil function

Published on 09 Dec 2019 - 18:50

score 107 · Answer 15 · 2019-12-14 14:31:14

107

Views

How to show either $\left \lfloor {\frac{m-1}{2}} \right \rfloor$ or $\left \lfloor {\frac{m+1}{2}} \right \rfloor$ odd and other is even?

Published on 14 Dec 2019 - 14:31

List Question

Evaluating $\int_{0}^1 \ln \left\lfloor \frac{1}{x} \right\rfloor dx$

Mathematical Induction Involving The Floor Function

Closed form of sum $\sum\limits_{k=1}^{\infty } \frac{(-1)^{k+1}}{\left\lfloor \sqrt{k}\right\rfloor}$

floor function for the following function.

Closed expression for sum $\sum_{k=1}^{\infty} \frac{(-1)^{k+1}}{k}\left\lfloor k^{\frac{2}{3}}\right\rfloor$

Find $\left \lfloor{(x+y)^4}\right \rfloor$ if $3x^2-2xy+3y^2-8y+6=0$.

Recurrence relation involving floor function.

How to solve $2x^2-2\lfloor x \rfloor-1=0$

Golden ratio and floor function $\lfloor \phi ^2 n \rfloor - \lfloor \phi \lfloor \phi n \rfloor \rfloor = 1$ where $\phi = \frac{1+\sqrt{5}}{2}$

Strange pattern in $x\sin(\left \lceil{x}\right \rceil )$.

Proof that $\forall k\in\mathbb Z^+$, $\lfloor\log_2(2k+1)\rfloor=\lfloor\log_2(2k)\rfloor$

Differences in sequence only yield a few values?

If $x=1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{1000000}}$, what is the value of $\lfloor{x}\rfloor$?

Real sequences and ceil function

How to show either $\left \lfloor {\frac{m-1}{2}} \right \rfloor$ or $\left \lfloor {\frac{m+1}{2}} \right \rfloor$ odd and other is even?

Trending Questions

Popular # Hahtags

Popular Questions