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Solving for variable in quotient of ceil function

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#algebra-precalculus #ceiling-and-floor-functions
3.4k
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A book has a few pages on which page numbers are written. Someone has torn one page out of it and now average of all page numbers is $\frac{105}{4}$

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#number-theory #summation #ceiling-and-floor-functions
2.1k
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Proving $\lfloor 2x \rfloor = \lfloor x \rfloor + \lfloor x+0.5\rfloor$

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#proof-writing #ceiling-and-floor-functions
395
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How to prove that $a<S_n-[S_n]<b$ infinitely often

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#analysis #contest-math #ceiling-and-floor-functions #harmonic-numbers
410
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prove that $\lfloor x\rfloor\lfloor y\rfloor\le\lfloor xy\rfloor$

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#algebra-precalculus #inequality #ceiling-and-floor-functions
946
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How to find $\lfloor 1/\sqrt{1}+1/\sqrt{2}+\dots+1/\sqrt{100}\rfloor $ without a calculator?

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#algebra-precalculus #summation #radicals #ceiling-and-floor-functions
248
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Limit at infinity $\lim_{x\rightarrow \infty}\left(x-\lfloor x\rfloor\right) = $

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#calculus #limits #ceiling-and-floor-functions #fractional-part
362
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Find $\lim_{n\rightarrow \infty}\left(\sqrt{n^2+n+1}-\big\lfloor \sqrt{n^2+n+1} \big\rfloor \right)$

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#calculus #sequences-and-series #limits #radicals #ceiling-and-floor-functions
249
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How to solve a floor equation?

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#ceiling-and-floor-functions
4.3k
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Prove property of floor function (one with square roots)

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#discrete-mathematics #ceiling-and-floor-functions
417
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Derivative of $\lceil 1/x \rceil$

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#derivatives #ceiling-and-floor-functions
2.2k
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Solving an equation with floor function

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#diophantine-equations #ceiling-and-floor-functions
185
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Summing $dn$ floor functions = $d$ times Summing $n$ floor functions

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#combinatorics #summation #ceiling-and-floor-functions
189
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About floor function

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#elementary-number-theory #ceiling-and-floor-functions
179
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We have $T(n) \leq T(\lceil \frac{n}{5} \rceil) + T(\lceil \frac{7n}{10} \rceil)$. Show that $T(n) < c'n$.

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#discrete-mathematics #recurrence-relations #ceiling-and-floor-functions

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