Question

Prove that $\lfloor \sqrt{(p-1)p} \rfloor = p - 1$ and likewise $\lceil \sqrt{(p-1)p} \rceil = p$.

score 69 · Answer 1 · 2018-12-12 17:24:26

69

Views

Prove that $\lfloor \sqrt{(p-1)p} \rfloor = p - 1$ and likewise $\lceil \sqrt{(p-1)p} \rceil = p$.

Published on 12 Dec 2018 - 17:24

score 46 · Answer 2 · 2018-12-15 18:20:41

46

Views

Proving that $\lfloor{i/2^h}\rfloor = \lfloor \lfloor\cdots \lfloor i/2\rfloor/2\cdots\rfloor/2\rfloor$

Published on 15 Dec 2018 - 18:20

score 52 · Answer 3 · 2018-12-17 02:25:11

52

Views

Find the global min of $\lfloor{(1/2)(\lfloor{N/p}\rfloor+3-\sqrt{(\lfloor{N/p}\rfloor+1)^2-4N})}\rfloor$

Published on 17 Dec 2018 - 2:25

score 197 · Answer 4 · 2018-12-17 09:45:13

197

Views

Calculating $\lim_{x \to 0}{\frac{ \lfloor x \rfloor}{\lfloor x \rfloor}}$

Published on 17 Dec 2018 - 9:45

score 3.5k · Answer 5 · 2018-12-19 22:15:33

3.5k

Views

Apostol's Calulus: Prove that $[x+y] = [x]+[y]$ or $[x]+[y]+1$, where $[·]$ is the floor function.

Published on 19 Dec 2018 - 22:15

score 180 · Answer 6 · 2018-12-20 04:04:21

180

Views

Floor equation $\lfloor 3x-x^2 \rfloor = \lfloor x^2 + 1/2 \rfloor$

Published on 20 Dec 2018 - 4:04

score 352 · Answer 7 · 2018-12-24 12:53:37

352

Views

Compute $\lim_{x\to\infty} x \lfloor \frac{1}{x} \rfloor$

Published on 24 Dec 2018 - 12:53

score 197 · Answer 8 · 2018-12-28 04:48:13

197

Views

Prove that if $nm ≤ nx < nm + n $, where $ n,m ∈ ℤ $ and $ x ∈ ℝ$, then there exists ...

Published on 28 Dec 2018 - 4:48

score 51 · Answer 9 · 2019-01-02 19:35:46

51

Views

Identity involving floor, ceiling and nearest integer functions

Published on 02 Jan 2019 - 19:35

score 197 · Answer 10 · 2019-01-03 01:24:44

197

Views

Injectivity of $f(x) = x + [x/2]$, and finding an explicit inverse

Published on 03 Jan 2019 - 1:24

score 190 · Answer 11 · 2019-01-03 16:05:04

190

Views

Double sum over $\left\lfloor{ac+bd\over k}\right\rfloor$

Published on 03 Jan 2019 - 16:05

score 75 · Answer 12 · 2019-01-04 20:06:02

75

Views

Is my approach correct to this equation?

Published on 04 Jan 2019 - 20:06

score 91 · Answer 13 · 2019-01-08 06:46:03

91

Views

Understanding Binomial coefficient with floored terms

Published on 08 Jan 2019 - 6:46

score 162 · Answer 14 · 2019-01-08 09:12:40

162

Views

Algebraic Closed Form for $\sum_{n=1}^{k}\left( n- 3 \lfloor \frac{n-1}{3} \rfloor\right)$

Published on 08 Jan 2019 - 9:12

score 385 · Answer 15 · 2019-01-09 02:59:29

385

Views

Can this be solved to remove the floor function and simplify the answer?

Published on 09 Jan 2019 - 2:59

List Question

Prove that $\lfloor \sqrt{(p-1)p} \rfloor = p - 1$ and likewise $\lceil \sqrt{(p-1)p} \rceil = p$.

Proving that $\lfloor{i/2^h}\rfloor = \lfloor \lfloor\cdots \lfloor i/2\rfloor/2\cdots\rfloor/2\rfloor$

Find the global min of $\lfloor{(1/2)(\lfloor{N/p}\rfloor+3-\sqrt{(\lfloor{N/p}\rfloor+1)^2-4N})}\rfloor$

Calculating $\lim_{x \to 0}{\frac{ \lfloor x \rfloor}{\lfloor x \rfloor}}$

Apostol's Calulus: Prove that $[x+y] = [x]+[y]$ or $[x]+[y]+1$, where $[·]$ is the floor function.

Floor equation $\lfloor 3x-x^2 \rfloor = \lfloor x^2 + 1/2 \rfloor$

Compute $\lim_{x\to\infty} x \lfloor \frac{1}{x} \rfloor$

Prove that if $nm ≤ nx < nm + n $, where $ n,m ∈ ℤ $ and $ x ∈ ℝ$, then there exists ...

Identity involving floor, ceiling and nearest integer functions

Injectivity of $f(x) = x + [x/2]$, and finding an explicit inverse

Double sum over $\left\lfloor{ac+bd\over k}\right\rfloor$

Is my approach correct to this equation?

Understanding Binomial coefficient with floored terms

Algebraic Closed Form for $\sum_{n=1}^{k}\left( n- 3 \lfloor \frac{n-1}{3} \rfloor\right)$

Can this be solved to remove the floor function and simplify the answer?

Trending Questions

Popular # Hahtags

Popular Questions