Question

How to find value of floor function of a given number?

score 708 · Answer 1 · 2018-04-19 14:27:01

708

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How to find value of floor function of a given number?

Published on 19 Apr 2018 - 14:27

score 153 · Answer 2 · 2018-04-19 23:21:37

153

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Evaluate $\int_0^1 x^n\left\lfloor\frac{1}{x}\right\rfloor^{-1}dx$

Published on 19 Apr 2018 - 23:21

score 2.3k · Answer 3 · 2026-03-21 17:59:33

2.3k

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Smooth floor function

Published on 21 Mar 2026 - 17:59

score 161 · Answer 4 · 2026-03-25 04:31:36

161

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Disprove $m!=100x^2+20x$ using an estimation for factorial.

Published on 25 Mar 2026 - 4:31

score 87 · Answer 5 · 2026-03-25 04:43:34

87

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Let $P$ a polynomial with positive coefficients.Determine $\lim_{ x\to\infty }\frac{ \lfloor P(x) \rfloor}{P(\lfloor x \rfloor)}$

Published on 25 Mar 2026 - 4:43

score 1.2k · Answer 6 · 2018-04-26 15:16:08

1.2k

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Proving Hermite's Identity in a different approach

Published on 26 Apr 2018 - 15:16

score 171 · Answer 7 · 2018-04-26 18:23:09

171

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Number of integers satisfying $\left[\frac{x}{100}\left[\frac{x}{100}\right]\right]=5$

Published on 26 Apr 2018 - 18:23

score 1.2k · Answer 8 · 2018-04-27 12:33:31

1.2k

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$\lim_{n\to\infty}\frac{n -\big\lfloor\frac{n}{2}\big\rfloor+\big\lfloor\frac{n}{3}\big\rfloor-\dots}{n}$, a Brilliant problem

Published on 27 Apr 2018 - 12:33

score 178 · Answer 9 · 2026-03-22 02:02:17

178

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Evaluating $\int_0^{10\pi}(\lfloor \sec^{-1}x\rfloor + \lfloor \cot^{-1}x\rfloor)\,\mathrm{d}x$

Published on 22 Mar 2026 - 2:02

score 97 · Answer 10 · 2018-04-28 16:48:39

97

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If $a_1\le a_2 \le \dots \le a_n$ and $a_1 + 2a_2 + \cdots + na_n = 0$, then $a_1[x] + a_2[2x] + \cdots + a_n[nx] \geq 0$

Published on 28 Apr 2018 - 16:48

score 158 · Answer 11 · 2018-05-02 19:42:13

158

Views

What is the derivative of this function: $\frac {d}{dx}x^{\lfloor{x}\rfloor}?$

Published on 02 May 2018 - 19:42

score 101 · Answer 12 · 2018-05-03 00:47:12

101

Views

Find all integral ordered pairs $(n,k)$ such that $\left\lfloor\frac{n^2+18n+10}{2}\right\rfloor = k^2$.

Published on 03 May 2018 - 0:47

score 1000 · Answer 13 · 2018-05-04 10:02:52

1000

Views

How to find continuity and differentiability of a function which includes Greatest Integer Function?

Published on 04 May 2018 - 10:02

score 160 · Answer 14 · 2026-03-22 17:35:12

160

Views

Find the real values of $x$ that satisfy the equation $7[x]+23\{x\}=191$

Published on 22 Mar 2026 - 17:35

score 80 · Answer 15 · 2018-05-06 03:48:24

80

Views

Sum of $34$ Terms Involving Floor Function

Published on 06 May 2018 - 3:48

List Question

How to find value of floor function of a given number?

Evaluate $\int_0^1 x^n\left\lfloor\frac{1}{x}\right\rfloor^{-1}dx$

Smooth floor function

Disprove $m!=100x^2+20x$ using an estimation for factorial.

Let $P$ a polynomial with positive coefficients.Determine $\lim_{ x\to\infty }\frac{ \lfloor P(x) \rfloor}{P(\lfloor x \rfloor)}$

Proving Hermite's Identity in a different approach

Number of integers satisfying $\left[\frac{x}{100}\left[\frac{x}{100}\right]\right]=5$

$\lim_{n\to\infty}\frac{n -\big\lfloor\frac{n}{2}\big\rfloor+\big\lfloor\frac{n}{3}\big\rfloor-\dots}{n}$, a Brilliant problem

Evaluating $\int_0^{10\pi}(\lfloor \sec^{-1}x\rfloor + \lfloor \cot^{-1}x\rfloor)\,\mathrm{d}x$

If $a_1\le a_2 \le \dots \le a_n$ and $a_1 + 2a_2 + \cdots + na_n = 0$, then $a_1[x] + a_2[2x] + \cdots + a_n[nx] \geq 0$

What is the derivative of this function: $\frac {d}{dx}x^{\lfloor{x}\rfloor}?$

Find all integral ordered pairs $(n,k)$ such that $\left\lfloor\frac{n^2+18n+10}{2}\right\rfloor = k^2$.

How to find continuity and differentiability of a function which includes Greatest Integer Function?

Find the real values of $x$ that satisfy the equation $7[x]+23\{x\}=191$

Sum of $34$ Terms Involving Floor Function

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