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Geometric series sum confusion

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#discrete-mathematics #logarithms #computational-complexity #ceiling-and-floor-functions
69
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How to calculate limit $\lim_{x\to\infty}\left(\lfloor x\rfloor+\frac{1}{2}\right)\ln x-\ln(\lfloor x\rfloor!)$

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#calculus #limits #factorial #ceiling-and-floor-functions
65
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Help solving a floor equation

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#ceiling-and-floor-functions
56
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How to solve equations involving ceiling?

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#algebra-precalculus #functions #ceiling-and-floor-functions
610
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Limit of $n^2$ and a recurrence relation with ceiling function

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#limits #ceiling-and-floor-functions #pi
146
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Proof of floor function is monotone

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#real-analysis #ceiling-and-floor-functions
49
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What are simplification rules for expressions involving floor division?

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#ceiling-and-floor-functions
252
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Calculate the sum of $\left\lfloor \sqrt{k} \right\rfloor$

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#summation #radicals #ceiling-and-floor-functions
47
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Find a smooth function such that $f(m)=\lceil\frac{m}{3}\rceil, m\in\Bbb{Z}$

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#functions #ceiling-and-floor-functions
429
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Closed form solution of a sum involving the floor function

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#summation #modular-arithmetic #ceiling-and-floor-functions #arithmetic-progressions
75
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finding a constant $C>0$ for a sequence to satisfy a given inequality

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#sequences-and-series #ceiling-and-floor-functions
122
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Conjecture: $\lfloor\frac{n}4\rfloor+\lfloor\frac{n+1}4\rfloor-\lfloor\frac{n+2}4\rfloor-\lfloor\frac{n+3}4\rfloor=\cos(\frac{n\pi}2)-1$

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#algebra-precalculus #ceiling-and-floor-functions
81
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Solving floor function system of equations given $x \lfloor y \rfloor + y \lfloor x \rfloor =66$ and $x \lfloor x \rfloor + y \lfloor y \rfloor=144$

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#ceiling-and-floor-functions
101
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Evaluating $\sum_{k=0}^n(-1)^{\frac{k(k+1)}2}k$

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#algebra-precalculus #recreational-mathematics #ceiling-and-floor-functions
24
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Manipulating integrals containing the floor function

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#real-analysis #integration #fourier-series #ceiling-and-floor-functions

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