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Prove integer remains $\mathbb{Z}_{n}$ after Division and Floor

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#elementary-number-theory #computer-science #integers #ceiling-and-floor-functions
195
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finding big omega of $n^k$ by splitting the sum (big-$O$ notation)

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#discrete-mathematics #summation #asymptotics #ceiling-and-floor-functions
20
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Bounding exponentiation functions with floor and ceiling functions as exponents.

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#real-analysis #ceiling-and-floor-functions
89
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Derivative of floor function using epsilon/delta

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#real-analysis #derivatives #continuity #epsilon-delta #ceiling-and-floor-functions
62
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Proving nearest integer function identity

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#modular-arithmetic #ceiling-and-floor-functions
159
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Inequality involving ceiling of square

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#algebra-precalculus #elementary-number-theory #ceiling-and-floor-functions
145
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How can I prove $\{a+b\}\{a-c\}\{a-d\}=0$ if the folowing relation holds for all positive integers?

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#number-theory #ceiling-and-floor-functions
63
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How can you find the continuous digits of $g(x)=3 \lfloor x \rfloor^3$?

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#calculus #continuity #ceiling-and-floor-functions
244
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How to isolate a variable within multiple ceiling and floor functions?

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#algebra-precalculus #ceiling-and-floor-functions
154
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Summation on floor function

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#sequences-and-series #summation #ceiling-and-floor-functions
81
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Solving a floor function problem

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#real-analysis #calculus #number-theory #real-numbers #ceiling-and-floor-functions
168
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How to isolate a variable inside floor and ceiling functions?

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#algebra-precalculus #ceiling-and-floor-functions
69
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$ \left\lfloor 10^{\lfloor n \rfloor} \pi \bmod 10 \right\rfloor $ - does this function give the nth decimal place of pi?

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#modular-arithmetic #ceiling-and-floor-functions #pi #rounding-error #desmos
127
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How to solve $\lfloor x \rfloor + \lfloor \frac{1}{x} \rfloor = 1$?

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#real-analysis #discrete-mathematics #real-numbers #ceiling-and-floor-functions
43
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Ceil function inequality.

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#real-analysis #analysis #inequality #real-numbers #ceiling-and-floor-functions

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