Question

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

score 711 · Answer 1 · 2026-04-11 05:04:57

711

Views

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

Published on 11 Apr 2026 - 5:04

score 156 · Answer 2 · 2026-04-17 12:18:37

156

Views

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

Published on 17 Apr 2026 - 12:18

score 2.3k · Answer 3 · 2026-04-11 00:32:41

2.3k

Views

Smooth floor function

Published on 11 Apr 2026 - 0:32

score 167 · Answer 4 · 2026-04-29 12:46:08

167

Views

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

Published on 29 Apr 2026 - 12:46

score 90 · Answer 5 · 2026-05-10 17:02:47

90

Views

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

Published on 10 May 2026 - 17:02

score 1.2k · Answer 6 · 2026-04-14 06:42:45

1.2k

Views

Proving Hermite's Identity in a different approach

Published on 14 Apr 2026 - 6:42

score 174 · Answer 7 · 2026-05-10 12:34:13

174

Views

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

Published on 10 May 2026 - 12:34

score 1.2k · Answer 8 · 2026-04-15 07:05:28

1.2k

Views

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

Published on 15 Apr 2026 - 7:05

score 179 · Answer 9 · 2026-03-25 11:03:46

179

Views

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

Published on 25 Mar 2026 - 11:03

score 100 · Answer 10 · 2026-04-16 03:23:09

100

Views

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 16 Apr 2026 - 3:23

score 160 · Answer 11 · 2026-04-15 19:09:12

160

Views

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

Published on 15 Apr 2026 - 19:09

score 104 · Answer 12 · 2026-04-15 23:20:59

104

Views

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

Published on 15 Apr 2026 - 23:20

score 1k · Answer 13 · 2026-04-10 17:27:32

1k

Views

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

Published on 10 Apr 2026 - 17:27

score 170 · Answer 14 · 2026-05-10 16:19:24

170

Views

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

Published on 10 May 2026 - 16:19

score 83 · Answer 15 · 2026-04-10 22:10:10

83

Views

Sum of $34$ Terms Involving Floor Function

Published on 10 Apr 2026 - 22:10

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

Trending Questions

Popular # Hahtags

Popular Questions