Question

How to solve the floor function equation $\lfloor2x\rfloor+\lfloor3x\rfloor+\lfloor7x\rfloor=2008$

score 249 · Answer 1 · 2023-09-08 18:49:14

249

Views

How to solve the floor function equation $\lfloor2x\rfloor+\lfloor3x\rfloor+\lfloor7x\rfloor=2008$

Published on 08 Sep 2023 - 18:49

score 74 · Answer 2 · 2026-03-25 14:33:40

74

Views

Can we write down a formula for the simultaneous images of the $C_q$?

Published on 25 Mar 2026 - 14:33

score 37 · Answer 3 · 2023-09-11 22:54:48

37

Views

What notation should I use to denote the sum of multiples of k smaller than n

Published on 11 Sep 2023 - 22:54

score 116 · Answer 4 · 2026-03-25 21:46:53

116

Views

Evaluating $\int_0^{100}{e^{\{x\}}}dx$ on Desmos

Published on 25 Mar 2026 - 21:46

score 62 · Answer 5 · 2023-09-14 13:15:37

62

Views

floor function algebra

Published on 14 Sep 2023 - 13:15

score 29 · Answer 6 · 2023-09-15 14:36:13

29

Views

Integrate $\int_{0}^{n}{[2^x]}$, where $n$ is a natural number

Published on 15 Sep 2023 - 14:36

score 192 · Answer 7 · 2023-09-19 09:02:29

192

Views

what is the inverse function of 2[x]-x ,where[x] is the floor function?

Published on 19 Sep 2023 - 9:02

score 97 · Answer 8 · 2023-09-19 12:58:11

97

Views

floor function, algebra

Published on 19 Sep 2023 - 12:58

score 52 · Answer 9 · 2026-02-23 08:27:03

52

Views

How can we prove that this alternating summation involving fractional floor functions is non-decreasing?

Published on 23 Feb 2026 - 8:27

score 37 · Answer 10 · 2026-02-23 08:27:43

37

Views

This alternating sum of fractional floor functions over the divisors of primorial is always a non-decreasing function (the general case).

Published on 23 Feb 2026 - 8:27

score 53 · Answer 11 · 2026-03-26 10:43:32

53

Views

$ \left\lfloor\frac{x - \pi(z)^}{n} \right\rfloor\geq\left\lfloor\frac{x-z^}{m}\right\rfloor $ whenever $n\mid m$ and $\pi:\Bbb{Z}/m\to\Bbb{Z}/n$✨

Published on 26 Mar 2026 - 10:43

score 58 · Answer 12 · 2023-09-25 06:05:27

58

Views

Integration including the floor function

Published on 25 Sep 2023 - 6:05

score 95 · Answer 13 · 2023-09-27 23:26:25

95

Views

Showing that the floor is an integer

Published on 27 Sep 2023 - 23:26

score 99 · Answer 14 · 2023-09-30 07:51:56

99

Views

Solving a floored recurrence relation $F_n = c \cdot \left\lfloor \frac{F_{n-1}}{d} \right\rfloor$

Published on 30 Sep 2023 - 7:51

score 64 · Answer 15 · 2023-09-30 13:17:11

64

Views

Variation of a sequence of approximations : $u_n = \lfloor nx\rfloor/n$

Published on 30 Sep 2023 - 13:17

List Question

How to solve the floor function equation $\lfloor2x\rfloor+\lfloor3x\rfloor+\lfloor7x\rfloor=2008$

Can we write down a formula for the simultaneous images of the $C_q$?

What notation should I use to denote the sum of multiples of k smaller than n

Evaluating $\int_0^{100}{e^{\{x\}}}dx$ on Desmos

floor function algebra

Integrate $\int_{0}^{n}{[2^x]}$, where $n$ is a natural number

what is the inverse function of 2[x]-x ,where[x] is the floor function?

floor function, algebra

How can we prove that this alternating summation involving fractional floor functions is non-decreasing?

This alternating sum of fractional floor functions over the divisors of primorial is always a non-decreasing function (the general case).

$ \left\lfloor\frac{x - \pi(z)^}{n} \right\rfloor\geq\left\lfloor\frac{x-z^}{m}\right\rfloor $ whenever $n\mid m$ and $\pi:\Bbb{Z}/m\to\Bbb{Z}/n$✨

Integration including the floor function

Showing that the floor is an integer

Solving a floored recurrence relation $F_n = c \cdot \left\lfloor \frac{F_{n-1}}{d} \right\rfloor$

Variation of a sequence of approximations : $u_n = \lfloor nx\rfloor/n$

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