Question

Counting the number of solutions to an equation involving floor and ceiling function

score 58 · Answer 1 · 2018-07-06 18:08:06

58

Views

Counting the number of solutions to an equation involving floor and ceiling function

Published on 06 Jul 2018 - 18:08

score 1.2k · Answer 2 · 2018-07-07 03:22:27

1.2k

Views

Solve algebraic equation with floor functions

Published on 07 Jul 2018 - 3:22

score 91 · Answer 3 · 2018-07-07 21:13:39

91

Views

Continuity of a function containing infinite sum of floor function

Published on 07 Jul 2018 - 21:13

score 183 · Answer 4 · 2018-07-12 17:22:40

183

Views

Number of solutions of $\left\{x\right\}+\left\{\frac{1}{x}\right\}=1$

Published on 12 Jul 2018 - 17:22

score 107 · Answer 5 · 2018-07-12 18:53:48

107

Views

Find range of the function $f(x)=\frac{\left\{x\right\}}{1+(\lfloor x\rfloor)^2}$

Published on 12 Jul 2018 - 18:53

score 36 · Answer 6 · 2026-03-25 00:27:02

36

Views

Proof that a sequence of numbers must always contain a perfect square

Published on 25 Mar 2026 - 0:27

score 1.7k · Answer 7 · 2018-07-13 12:04:08

1.7k

Views

Does this pattern continue $\lfloor\sqrt{44}\rfloor=6, \lfloor\sqrt{4444}\rfloor=66,\dots$?

Published on 13 Jul 2018 - 12:04

score 61 · Answer 8 · 2018-07-13 16:21:48

61

Views

When finding the upper bound, why is a ceiling evaluated to a +1?

Published on 13 Jul 2018 - 16:21

score 129 · Answer 9 · 2026-03-23 04:01:19

129

Views

How to solve for x:$ \left \lfloor{x} \right \rfloor\ - n \cdot \left \lfloor{\frac{x}{n}} \right \rfloor\ = y$

Published on 23 Mar 2026 - 4:01

score 26 · Answer 10 · 2018-07-14 08:25:11

26

Views

max(y) and max(x) for $1 \geq xy\lceil{\log_2{x}}\rceil\times\frac{1}{100}$

Published on 14 Jul 2018 - 8:25

score 218 · Answer 11 · 2018-07-15 17:34:02

218

Views

What is the value of this product: $\prod_{n=1}^\infty \;\frac{3}{1+2 \cos(\frac{\pi}{3^n})} \;=\;? $

Published on 15 Jul 2018 - 17:34

score 240 · Answer 12 · 2026-03-25 06:13:27

240

Views

Prove that $ \left\lfloor{\frac xn}\right\rfloor= \left\lfloor{\lfloor{x}\rfloor\over n}\right\rfloor$ where $n \ge 1, n \in \mathbb{N}$

Published on 25 Mar 2026 - 6:13

score 5k · Answer 13 · 2018-07-19 23:24:57

5k

Views

How is addition and multiplication of step functions defined?

Published on 19 Jul 2018 - 23:24

score 1.5k · Answer 14 · 2018-07-21 02:06:50

1.5k

Views

Find the number of possible solution of |[x]-2x|=4

Published on 21 Jul 2018 - 2:06

score 97 · Answer 15 · 2018-07-22 00:50:24

97

Views

$\lim_{n \to \infty} \sum_{k=1}^{\left\lfloor\frac{n}{2}\right\rfloor}{\binom{n-k}{k}\frac{1}{2^{n-k}}}$?

Published on 22 Jul 2018 - 0:50

List Question

Counting the number of solutions to an equation involving floor and ceiling function

Solve algebraic equation with floor functions

Continuity of a function containing infinite sum of floor function

Number of solutions of $\left\{x\right\}+\left\{\frac{1}{x}\right\}=1$

Find range of the function $f(x)=\frac{\left\{x\right\}}{1+(\lfloor x\rfloor)^2}$

Proof that a sequence of numbers must always contain a perfect square

Does this pattern continue $\lfloor\sqrt{44}\rfloor=6, \lfloor\sqrt{4444}\rfloor=66,\dots$?

When finding the upper bound, why is a ceiling evaluated to a +1?

How to solve for x:$ \left \lfloor{x} \right \rfloor\ - n \cdot \left \lfloor{\frac{x}{n}} \right \rfloor\ = y$

max(y) and max(x) for $1 \geq xy\lceil{\log_2{x}}\rceil\times\frac{1}{100}$

What is the value of this product: $\prod_{n=1}^\infty \;\frac{3}{1+2 \cos(\frac{\pi}{3^n})} \;=\;? $

Prove that $ \left\lfloor{\frac xn}\right\rfloor= \left\lfloor{\lfloor{x}\rfloor\over n}\right\rfloor$ where $n \ge 1, n \in \mathbb{N}$

How is addition and multiplication of step functions defined?

Find the number of possible solution of |[x]-2x|=4

$\lim_{n \to \infty} \sum_{k=1}^{\left\lfloor\frac{n}{2}\right\rfloor}{\binom{n-k}{k}\frac{1}{2^{n-k}}}$?

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