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System of simultaneous equations involving integral part (floor)

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#systems-of-equations #ceiling-and-floor-functions
103
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Is there a limit?

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#ceiling-and-floor-functions #constants
60
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Largest value of sequence

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#sequences-and-series #algebra-precalculus #number-theory #optimization #ceiling-and-floor-functions
188
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Does $x+\sqrt{x}$ ever round to a perfect square, given $x\in \mathbb{N}$?

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#elementary-number-theory #ceiling-and-floor-functions #square-numbers
88
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Fractional part of integer multiples

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#elementary-number-theory #ceiling-and-floor-functions #fractional-part
202
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Proof regarding the ceiling function.

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#ceiling-and-floor-functions
142
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Find number of solutions of $(x-1)^2+\lceil x \rceil=4$

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#algebra-precalculus #functions #ceiling-and-floor-functions
90
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Let $n$ is a natural number. Find $\int_0^n 2x \lfloor x \rfloor dx$

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#calculus #definite-integrals #ceiling-and-floor-functions
65
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Inverse cosine inside floor function derivative

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#ceiling-and-floor-functions #inverse-function
135
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Floor function problem

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#functions #ceiling-and-floor-functions
455
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One-sided limit in relation to a floor-function

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#calculus #limits #ceiling-and-floor-functions
367
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Substitution in finding limits

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#calculus #limits #limits-without-lhopital #ceiling-and-floor-functions
102
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Calculate floor of $\frac{1}{x_1 + 1} + \frac{1}{x_2 + 1} + ... + \frac{1}{x_{100} + 1}$

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#number-theory #recurrence-relations #ceiling-and-floor-functions
31
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Computation of compositions of ceilings and divisions

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#elementary-number-theory #recursive-algorithms #ceiling-and-floor-functions
351
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Sum of terms involving binomial coefficients and floor functions

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#sequences-and-series #combinatorics #summation #binomial-coefficients #ceiling-and-floor-functions

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