Question

Sum of floored fractions $\lfloor \frac{1^3}{2009} \rfloor + \lfloor \frac{2^3}{2009} \rfloor + \cdots + \lfloor \frac{2008^3}{2009} \rfloor$

score 186 · Answer 1 · 2024-02-09 05:24:42

186

Views

Sum of floored fractions $\lfloor \frac{1^3}{2009} \rfloor + \lfloor \frac{2^3}{2009} \rfloor + \cdots + \lfloor \frac{2008^3}{2009} \rfloor$

Published on 09 Feb 2024 - 5:24

score 35 · Answer 2 · 2024-02-15 14:59:09

35

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How do you rearrange an equation with the product of floor functions?

Published on 15 Feb 2024 - 14:59

score 266 · Answer 3 · 2024-02-15 21:57:43

266

Views

floor(x/y)=y graph

Published on 15 Feb 2024 - 21:57

score 46 · Answer 4 · 2024-02-16 12:11:13

46

Views

approximate a sum

Published on 16 Feb 2024 - 12:11

score 56 · Answer 5 · 2026-02-23 06:40:54

56

Views

What is the 1-case closed form for $\sum_{i = 1}^{x} \lfloor \frac{i - r}{d}\rfloor$?

Published on 23 Feb 2026 - 6:40

score 124 · Answer 6 · 2024-02-17 09:21:21

124

Views

Find the minimum value of $(x-y)^2+(x-y+ \frac{1}{y}-\frac{1}{x})^2$ where $x>0>y$

Published on 17 Feb 2024 - 9:21

score 102 · Answer 7 · 2026-02-23 05:40:43

102

Views

Is there a spelling mistake or am I missing something

Published on 23 Feb 2026 - 5:40

score 200 · Answer 8 · 2024-02-21 09:34:19

200

Views

Integral containing floor function and derivative

Published on 21 Feb 2024 - 9:34

score 81 · Answer 9 · 2024-02-25 02:24:52

81

Views

Limit involving an Indicator Function and Sum

Published on 25 Feb 2024 - 2:24

score 181 · Answer 10 · 2024-02-26 14:32:22

181

Views

Integer part of $x^n$

Published on 26 Feb 2024 - 14:32

score 89 · Answer 11 · 2024-02-27 04:05:36

89

Views

Is there a nice form to $\sum_{k=1}^{n}\left\lfloor\sqrt{ r^2-k^2 }\right\rfloor$?

Published on 27 Feb 2024 - 4:05

score 41 · Answer 12 · 2024-02-28 22:08:10

41

Views

Prove that the maximum difference between $\frac{n}{6}$ and $\lfloor \frac{(n-3)}{6} \rfloor$ is $1 \frac{1}{3}$?

Published on 28 Feb 2024 - 22:08

score 72 · Answer 13 · 2024-03-02 19:43:33

72

Views

Solve in $\mathbb{R}^+$ algebra calculus Equation with derivatives

Published on 02 Mar 2024 - 19:43

score 43 · Answer 14 · 2024-03-03 13:09:50

43

Views

Inequality for integers with floor function

Published on 03 Mar 2024 - 13:09

score 78 · Answer 15 · 2024-03-06 13:02:20

78

Views

Simplifying $\sum _{t=1}^{\infty }\:\frac{\left(1+g\right)^{ \lceil t/2\rceil}}{\left(1+k\right)^t}$

Published on 06 Mar 2024 - 13:02

List Question

Sum of floored fractions $\lfloor \frac{1^3}{2009} \rfloor + \lfloor \frac{2^3}{2009} \rfloor + \cdots + \lfloor \frac{2008^3}{2009} \rfloor$

How do you rearrange an equation with the product of floor functions?

floor(x/y)=y graph

approximate a sum

What is the 1-case closed form for $\sum_{i = 1}^{x} \lfloor \frac{i - r}{d}\rfloor$?

Find the minimum value of $(x-y)^2+(x-y+ \frac{1}{y}-\frac{1}{x})^2$ where $x>0>y$

Is there a spelling mistake or am I missing something

Integral containing floor function and derivative

Limit involving an Indicator Function and Sum

Integer part of $x^n$

Is there a nice form to $\sum_{k=1}^{n}\left\lfloor\sqrt{ r^2-k^2 }\right\rfloor$?

Prove that the maximum difference between $\frac{n}{6}$ and $\lfloor \frac{(n-3)}{6} \rfloor$ is $1 \frac{1}{3}$?

Solve in $\mathbb{R}^+$ algebra calculus Equation with derivatives

Inequality for integers with floor function

Simplifying $\sum _{t=1}^{\infty }\:\frac{\left(1+g\right)^{ \lceil t/2\rceil}}{\left(1+k\right)^t}$

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