Question

Proving $\lfloor e^x \rfloor =\lfloor e^{\lfloor x \rfloor} \rfloor$

score 93 · Answer 1 · 2019-04-02 18:52:54

93

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Proving $\lfloor e^x \rfloor =\lfloor e^{\lfloor x \rfloor} \rfloor$

Published on 02 Apr 2019 - 18:52

score 32 · Answer 2 · 2019-04-04 23:52:23

32

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Find the solution of $1 \le \left\lfloor \left\lvert \frac{x+1}{x-3}\right\rvert +x\right\rfloor \lt 2$

Published on 04 Apr 2019 - 23:52

score 632 · Answer 3 · 2019-04-08 16:24:49

632

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How do limits work with floor/ceiling?

Published on 08 Apr 2019 - 16:24

score 57 · Answer 4 · 2019-04-11 15:33:32

57

Views

Evaluate $\int_{1}^{n} \lfloor x \rfloor^{x- \lfloor x \rfloor} dx$.

Published on 11 Apr 2019 - 15:33

score 297 · Answer 5 · 2019-04-16 17:10:21

297

Views

Greatest Integer Function linear equation

Published on 16 Apr 2019 - 17:10

score 124 · Answer 6 · 2026-03-25 14:25:35

124

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Reasoning about $\left(\left\lfloor\frac{2x}{i}\right\rfloor -2\left\lfloor\frac{x}{i}\right\rfloor\right)$

Published on 25 Mar 2026 - 14:25

score 568 · Answer 7 · 2019-04-17 21:17:32

568

Views

Show that f is continuous at all c ∈ R \ Z and discontinuous at all c ∈ Z.

Published on 17 Apr 2019 - 21:17

score 153 · Answer 8 · 2019-04-20 02:01:27

153

Views

Finding the floor of $\sqrt{d^2-1}$

Published on 20 Apr 2019 - 2:01

score 70 · Answer 9 · 2019-04-20 04:47:13

Let $x \in \Bbb R$, $n \in \Bbb N$, show that $n \lfloor x \rfloor \leq \lfloor nx \rfloor \leq n \lfloor x \rfloor + (n-1)$

score 35 · Answer 10 · 2026-03-25 09:24:03

35

Views

proving floor, and rounding floats in some programming languages

Published on 25 Mar 2026 - 9:24

score 87 · Answer 11 · 2026-03-25 09:28:22

87

Views

Counting integers with a least prime factor greater than $x$ in a sequence of $x$ consecutive integers.

Published on 25 Mar 2026 - 9:28

score 284 · Answer 12 · 2019-04-21 12:03:25

284

Views

Limit of $\left\lfloor x \left\lfloor \frac1x \right\rfloor \right\rfloor$, as $x$ goes to zero

Published on 21 Apr 2019 - 12:03

score 317 · Answer 13 · 2019-04-21 21:23:50

317

Views

Prove that $ \left \lfloor {\log n} \right \rfloor = \left \lfloor {\log \left \lceil \frac {n-1}{2}\right \rceil} \right \rfloor + 1$

Published on 21 Apr 2019 - 21:23

score 135 · Answer 14 · 2026-03-25 14:20:16

135

Views

Reasoning about remainders and the Möbius function

Published on 25 Mar 2026 - 14:20

score 88 · Answer 15 · 2019-04-23 19:18:49

88

Views

Can I split this inequality like this?

Published on 23 Apr 2019 - 19:18

List Question

Proving $\lfloor e^x \rfloor =\lfloor e^{\lfloor x \rfloor} \rfloor$

Find the solution of $1 \le \left\lfloor \left\lvert \frac{x+1}{x-3}\right\rvert +x\right\rfloor \lt 2$

How do limits work with floor/ceiling?

Evaluate $\int_{1}^{n} \lfloor x \rfloor^{x- \lfloor x \rfloor} dx$.

Greatest Integer Function linear equation

Reasoning about $\left(\left\lfloor\frac{2x}{i}\right\rfloor -2\left\lfloor\frac{x}{i}\right\rfloor\right)$

Show that f is continuous at all c ∈ R \ Z and discontinuous at all c ∈ Z.

Finding the floor of $\sqrt{d^2-1}$

Let $x \in \Bbb R$, $n \in \Bbb N$, show that $n \lfloor x \rfloor \leq \lfloor nx \rfloor \leq n \lfloor x \rfloor + (n-1)$

proving floor, and rounding floats in some programming languages

Counting integers with a least prime factor greater than $x$ in a sequence of $x$ consecutive integers.

Limit of $\left\lfloor x \left\lfloor \frac1x \right\rfloor \right\rfloor$, as $x$ goes to zero

Prove that $ \left \lfloor {\log n} \right \rfloor = \left \lfloor {\log \left \lceil \frac {n-1}{2}\right \rceil} \right \rfloor + 1$

Reasoning about remainders and the Möbius function

Can I split this inequality like this?

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