Question

Can someone decipher the use of square brackets in this problem?

score 45 · Answer 1 · 2022-02-16 13:18:16

45

Views

Can someone decipher the use of square brackets in this problem?

Published on 16 Feb 2022 - 13:18

score 99 · Answer 2 · 2026-03-26 04:32:08

99

Views

$ \tan{\left\lfloor{x}\right\rfloor}$ self-similar?

Published on 26 Mar 2026 - 4:32

score 59 · Answer 3 · 2022-02-28 16:34:59

59

Views

Proof ceiling function monotonicity

Published on 28 Feb 2022 - 16:34

score 128 · Answer 4 · 2022-03-03 04:06:18

128

Views

Find total number of positive real values of $x$ such that $x, \lfloor x\rfloor, \{x\} $ are in H. P.

Published on 03 Mar 2022 - 4:06

score 45 · Answer 5 · 2022-03-04 05:59:07

45

Views

How to solve inequalities involving the floor function on both sides?

Published on 04 Mar 2022 - 5:59

score 40 · Answer 6 · 2026-02-24 05:32:51

40

Views

Closed Form for an Expression Involving the Smallest Triangular Number Not Exceeding a Given Integer

Published on 24 Feb 2026 - 5:32

score 102 · Answer 7 · 2022-03-06 06:50:39

102

Views

Consider $\int_0^1 (\lfloor\frac{x}{y}\rfloor-x\lfloor\frac{1}{y}\rfloor) dy$, where $0\lt x\lt 1$ ...

Published on 06 Mar 2022 - 6:50

score 62 · Answer 8 · 2022-03-12 21:13:02

62

Views

Show that $\int_{0}^{\ln n}$ $[e^x]$dx = n ln n - ln(n!) and that n! $\geq$ $n^n$ $e^{1-n}$, where $[e^x]$ is a floor function

Published on 12 Mar 2022 - 21:13

score 114 · Answer 9 · 2022-03-14 18:40:44

114

Views

Does $f(x)=-\left(1-\frac{\tan^{-1}(\tan(-{\pi}x-\frac{\pi}{2}))+\frac{\pi}{2}}{\pi} - x\right)$ equate to the floor function?

Published on 14 Mar 2022 - 18:40

score 56 · Answer 10 · 2026-03-31 12:20:19

56

Views

Simplify an expression containing ceils and floors

Published on 31 Mar 2026 - 12:20

score 315 · Answer 11 · 2026-03-29 06:46:50

315

Views

Are the [x] and {x} functions defined for negative numbers?

Published on 29 Mar 2026 - 6:46

score 74 · Answer 12 · 2026-03-26 17:53:58

74

Views

Closed form of $\sum _{k=1}^{n }\:\lfloor{n/k}\rfloor$

Published on 26 Mar 2026 - 17:53

score 123 · Answer 13 · 2022-04-12 02:45:19

123

Views

How to apply the floor function in algebra?

Published on 12 Apr 2022 - 2:45

score 66 · Answer 14 · 2022-04-19 15:07:01

66

Views

An inequality involving box function

Published on 19 Apr 2022 - 15:07

score 83 · Answer 15 · 2022-04-20 10:34:19

83

Views

How to solve discrete double summation consisting floor function

Published on 20 Apr 2022 - 10:34

List Question

Can someone decipher the use of square brackets in this problem?

$ \tan{\left\lfloor{x}\right\rfloor}$ self-similar?

Proof ceiling function monotonicity

Find total number of positive real values of $x$ such that $x, \lfloor x\rfloor, \{x\} $ are in H. P.

How to solve inequalities involving the floor function on both sides?

Closed Form for an Expression Involving the Smallest Triangular Number Not Exceeding a Given Integer

Consider $\int_0^1 (\lfloor\frac{x}{y}\rfloor-x\lfloor\frac{1}{y}\rfloor) dy$, where $0\lt x\lt 1$ ...

Show that $\int_{0}^{\ln n}$ $[e^x]$dx = n ln n - ln(n!) and that n! $\geq$ $n^n$ $e^{1-n}$, where $[e^x]$ is a floor function

Does $f(x)=-\left(1-\frac{\tan^{-1}(\tan(-{\pi}x-\frac{\pi}{2}))+\frac{\pi}{2}}{\pi} - x\right)$ equate to the floor function?

Simplify an expression containing ceils and floors

Are the [x] and {x} functions defined for negative numbers?

Closed form of $\sum _{k=1}^{n }\:\lfloor{n/k}\rfloor$

How to apply the floor function in algebra?

An inequality involving box function

How to solve discrete double summation consisting floor function

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