Question

Finding range of value of 75th term in recurrence

score 25 · Answer 1 · 2021-07-03 05:07:32

25

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Finding range of value of 75th term in recurrence

Published on 03 Jul 2021 - 5:07

score 54 · Answer 2 · 2021-07-07 22:18:07

54

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How can $\{(x,y)\in\mathbb{R}^2:\lceil x\rceil\geq\lfloor y\rfloor\}$ be analytically characterized, if at all?

Published on 07 Jul 2021 - 22:18

score 41 · Answer 3 · 2021-07-07 23:28:39

41

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Help in solving an inequality involving floor function

Published on 07 Jul 2021 - 23:28

score 137 · Answer 4 · 2021-07-08 09:46:20

137

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There exist infinitely many primes of the form $p = \lfloor\sqrt{n} + \sqrt{n + 1}\rfloor$.

Published on 08 Jul 2021 - 9:46

score 110 · Answer 5 · 2021-07-09 05:48:27

110

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$\sum_{i=0}^{\frac{(p-1)}{2}} [\frac{qi}{p}] + \sum_{i=0}^{\frac{(q-1)}{2}} [\frac{pi}{q}] = \frac{(p-1)(q-1)}{4}$ for distinct odd primes $p,q$

Published on 09 Jul 2021 - 5:48

score 83 · Answer 6 · 2021-07-09 15:28:53

83

Views

Limit of sequence with greatest integer function

Published on 09 Jul 2021 - 15:28

score 93 · Answer 7 · 2021-07-10 20:59:18

93

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Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Published on 10 Jul 2021 - 20:59

score 129 · Answer 8 · 2021-07-11 17:17:45

129

Views

Is the floor function defined for complex values?

Published on 11 Jul 2021 - 17:17

score 65 · Answer 9 · 2021-07-12 09:48:34

65

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Floor of the power of a radical

Published on 12 Jul 2021 - 9:48

score 134 · Answer 10 · 2021-07-14 06:24:05

134

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Trying to find a NICE form of : $\sum_{m=1}^{n}\lfloor\log_2m\rfloor$ [ Mathematical Gazette 2002 ]

Published on 14 Jul 2021 - 6:24

score 135 · Answer 11 · 2021-07-15 11:50:52

135

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Proving $\left\lfloor \frac{\left\lfloor a/b \right\rfloor}{c} \right\rfloor=\left\lfloor\frac{a}{bc}\right\rfloor$ for positive integer $a$, $b$, $c$

Published on 15 Jul 2021 - 11:50

score 81 · Answer 12 · 2021-07-15 18:27:58

81

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For some $x\in\Bbb{R}$ and $\{a,b\}\in\Bbb{Z}$, prove or deny: $\lfloor\frac{a+x}b\rfloor=\left\lfloor\frac{a+\lfloor x\rfloor}b\right\rfloor$

Published on 15 Jul 2021 - 18:27

score 98 · Answer 13 · 2021-07-18 16:20:30

98

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Calculate $\lim_{n \to \infty} \cos(\sqrt{\lfloor(2n\pi)^2\rfloor\ })$

Published on 18 Jul 2021 - 16:20

score 133 · Answer 14 · 2021-07-21 20:52:37

133

Views

Is there a word for $\left\lfloor\frac{x-1}{n}\right\rfloor + 1$?

Published on 21 Jul 2021 - 20:52

score 88 · Answer 15 · 2021-07-21 23:59:37

88

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Position of each number in an irrational

Published on 21 Jul 2021 - 23:59

List Question

Finding range of value of 75th term in recurrence

How can $\{(x,y)\in\mathbb{R}^2:\lceil x\rceil\geq\lfloor y\rfloor\}$ be analytically characterized, if at all?

Help in solving an inequality involving floor function

There exist infinitely many primes of the form $p = \lfloor\sqrt{n} + \sqrt{n + 1}\rfloor$.

$\sum_{i=0}^{\frac{(p-1)}{2}} [\frac{qi}{p}] + \sum_{i=0}^{\frac{(q-1)}{2}} [\frac{pi}{q}] = \frac{(p-1)(q-1)}{4}$ for distinct odd primes $p,q$

Limit of sequence with greatest integer function

Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Is the floor function defined for complex values?

Floor of the power of a radical

Trying to find a NICE form of : $\sum_{m=1}^{n}\lfloor\log_2m\rfloor$ [ Mathematical Gazette 2002 ]

Proving $\left\lfloor \frac{\left\lfloor a/b \right\rfloor}{c} \right\rfloor=\left\lfloor\frac{a}{bc}\right\rfloor$ for positive integer $a$, $b$, $c$

For some $x\in\Bbb{R}$ and $\{a,b\}\in\Bbb{Z}$, prove or deny: $\lfloor\frac{a+x}b\rfloor=\left\lfloor\frac{a+\lfloor x\rfloor}b\right\rfloor$

Calculate $\lim_{n \to \infty} \cos(\sqrt{\lfloor(2n\pi)^2\rfloor\ })$

Is there a word for $\left\lfloor\frac{x-1}{n}\right\rfloor + 1$?

Position of each number in an irrational

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