Question

Solving $7[x]+23\{x\}=191$

score 889 · Answer 1 · 2026-03-31 19:22:18

889

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Solving $7[x]+23\{x\}=191$

Published on 31 Mar 2026 - 19:22

score 68 · Answer 2 · 2015-05-29 15:44:10

68

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Prove that $n! \geq {\lfloor n/2 \rfloor}^{\lfloor n/2 \rfloor}$

Published on 29 May 2015 - 15:44

score 142 · Answer 3 · 2026-03-25 20:42:12

142

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$\mathcal{I}=\int\limits_0^0 \{x\}^{\lfloor x\rfloor}\,\mathrm dx=0\textrm{ or undefined ?}$

Published on 25 Mar 2026 - 20:42

score 1.8k · Answer 4 · 2026-03-30 10:24:06

1.8k

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Indefinite Integral of Floor Function Integration by Substitution

Published on 30 Mar 2026 - 10:24

score 59 · Answer 5 · 2015-06-05 00:21:44

59

Views

Factorization by multiplying and representation as difference of two squares

Published on 05 Jun 2015 - 0:21

score 96 · Answer 6 · 2015-06-08 10:55:18

96

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If $\lfloor x^i\rfloor =i,i=1,2,3,\cdots,n$ find the maximum of $n$

Published on 08 Jun 2015 - 10:55

score 480 · Answer 7 · 2015-06-08 16:31:35

480

Views

Closed form for the sum $\sum_{k=0}^n a^k \left\lfloor\frac{k}{p}\right\rfloor$

Published on 08 Jun 2015 - 16:31

score 193 · Answer 8 · 2015-06-08 19:00:09

193

Views

Indefinite integral from floor of $x$

Published on 08 Jun 2015 - 19:00

score 143 · Answer 9 · 2015-06-09 05:46:40

143

Views

Find this closed form $\sum_{k=1}^{n}\left(\lfloor a_{k}\rfloor +\lfloor a_{k}+\frac{1}{2}\rfloor \right)$

Published on 09 Jun 2015 - 5:46

score 137 · Answer 10 · 2015-06-11 04:14:38

137

Views

Characterizing the cosets of a cycle of a finite abelian group with a linear combination of floor functions

Published on 11 Jun 2015 - 4:14

score 131 · Answer 11 · 2015-06-11 14:34:49

131

Views

$f(x)$=$\left\lfloor { x }^{ 2 } \right\rfloor -\left\lfloor x \right\rfloor ^{ 2 }$ is discontinuous for all integer values of x except only at x=1

Published on 11 Jun 2015 - 14:34

score 576 · Answer 12 · 2015-06-18 19:57:49

576

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Check my proof of a property of the greatest integer function?

Published on 18 Jun 2015 - 19:57

score 126 · Answer 13 · 2015-06-19 12:39:17

126

Views

Does the series: $\sum_{n=1}^\infty (-1)^n \lbrack {\sqrt\frac{n}{2}} \rbrack$ Converge?

Published on 19 Jun 2015 - 12:39

score 280 · Answer 14 · 2015-06-19 20:30:21

280

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why is limit $\lim_{x\rightarrow 0}⌊\frac{\sin x}{x}⌋ = 0$?

Published on 19 Jun 2015 - 20:30

score 101 · Answer 15 · 2015-06-19 21:44:56

101

Views

Show $ \left\lfloor\frac{2n}{p} \right\rfloor - 2 \left\lfloor \frac{n}{p} \right\rfloor \in \{ 0, 1 \}$

Published on 19 Jun 2015 - 21:44

List Question

Solving $7[x]+23\{x\}=191$

Prove that $n! \geq {\lfloor n/2 \rfloor}^{\lfloor n/2 \rfloor}$

$\mathcal{I}=\int\limits_0^0 \{x\}^{\lfloor x\rfloor}\,\mathrm dx=0\textrm{ or undefined ?}$

Indefinite Integral of Floor Function Integration by Substitution

Factorization by multiplying and representation as difference of two squares

If $\lfloor x^i\rfloor =i,i=1,2,3,\cdots,n$ find the maximum of $n$

Closed form for the sum $\sum_{k=0}^n a^k \left\lfloor\frac{k}{p}\right\rfloor$

Indefinite integral from floor of $x$

Find this closed form $\sum_{k=1}^{n}\left(\lfloor a_{k}\rfloor +\lfloor a_{k}+\frac{1}{2}\rfloor \right)$

Characterizing the cosets of a cycle of a finite abelian group with a linear combination of floor functions

$f(x)$=$\left\lfloor { x }^{ 2 } \right\rfloor -\left\lfloor x \right\rfloor ^{ 2 }$ is discontinuous for all integer values of x except only at x=1

Check my proof of a property of the greatest integer function?

Does the series: $\sum_{n=1}^\infty (-1)^n \lbrack {\sqrt\frac{n}{2}} \rbrack$ Converge?

why is limit $\lim_{x\rightarrow 0}⌊\frac{\sin x}{x}⌋ = 0$?

Show $ \left\lfloor\frac{2n}{p} \right\rfloor - 2 \left\lfloor \frac{n}{p} \right\rfloor \in \{ 0, 1 \}$

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