List questions from ceiling-and-floor-functions

Published on 03 Oct 2020 - 19:08

111

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Definite integral of a function involving a floor function

Published on 04 Oct 2020 - 2:27

247

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Find $[\sqrt{1}]+[\sqrt{2}]+[\sqrt{3}]+....+[\sqrt{2019}]$

Published on 05 Oct 2020 - 16:22

69

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floor function of $5.999\dots$

Published on 12 Oct 2020 - 14:32

131

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$P(\lfloor x\rfloor)=\lfloor P(x)\rfloor$

Published on 14 Oct 2020 - 0:38

61

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Logaritmic equation with floor brackets $ \left \lfloor \frac{x-1}{2} -\left \lfloor \frac{x}{2} \right \rfloor \right \rfloor=\log_{10}x$

Published on 16 Oct 2020 - 19:25

51

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$\int_{0}^{1} \frac{ \lfloor2x\rfloor\cdot x}{ \lfloor2x\rfloor+x^2} \ dx $

Published on 19 Oct 2020 - 5:41

157

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Inverse $f^ {-1}$ of floor function

Published on 19 Oct 2020 - 20:25

232

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Derivative of $\left | x-\left \lfloor x+1 \right \rfloor \right |$ at $x = 1.5$?

Published on 20 Oct 2020 - 4:55

81

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Question 5.12 Tom M Apostol ( Introduction to analytic number theory)

Published on 20 Oct 2020 - 7:31

42

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Length of integer repeats in an integer square root step function

Published on 20 Oct 2020 - 16:44

64

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Solving $\left\lfloor\;|x+1|-|x|\;\right\rfloor \geq x^2$

Published on 21 Oct 2020 - 11:09

103

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floor function equality ⌊x⌋^2=16

Published on 21 Oct 2020 - 12:24

58

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floor function and check if my answer is correct

Published on 22 Oct 2020 - 2:05

50

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Question about solving equations containing the Floor/Ceiling Function

Published on 23 Oct 2020 - 19:03

List Question

Let $x\in \mathbb{R}$. Show that $2⌊x⌋ ≤ ⌊2x⌋ ≤ 2⌊x⌋+1$

Definite integral of a function involving a floor function

Find $[\sqrt{1}]+[\sqrt{2}]+[\sqrt{3}]+....+[\sqrt{2019}]$

floor function of $5.999\dots$

$P(\lfloor x\rfloor)=\lfloor P(x)\rfloor$

Logaritmic equation with floor brackets $ \left \lfloor \frac{x-1}{2} -\left \lfloor \frac{x}{2} \right \rfloor \right \rfloor=\log_{10}x$

$\int_{0}^{1} \frac{ \lfloor2x\rfloor\cdot x}{ \lfloor2x\rfloor+x^2} \ dx $

Inverse $f^ {-1}$ of floor function

Derivative of $\left | x-\left \lfloor x+1 \right \rfloor \right |$ at $x = 1.5$?

Question 5.12 Tom M Apostol ( Introduction to analytic number theory)

Length of integer repeats in an integer square root step function

Solving $\left\lfloor\;|x+1|-|x|\;\right\rfloor \geq x^2$

floor function equality ⌊x⌋^2=16

floor function and check if my answer is correct

Question about solving equations containing the Floor/Ceiling Function

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