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Remainder operation in terms of the floor function

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#elementary-number-theory #modular-arithmetic #ceiling-and-floor-functions
140
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Problem with Floor Function

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#calculus #ceiling-and-floor-functions
359
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Quadratic equations and inequalities $\sqrt{4n+1}<\sqrt{n} + \sqrt{n+1}<\sqrt{4n+2}$ and $[\sqrt{n}+\sqrt{n+1}] = [\sqrt{4n+1}]$

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#inequality #arithmetic #radicals #ceiling-and-floor-functions
236
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Finding the integral for function with floor

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#calculus #integration #ceiling-and-floor-functions
245
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Finding sum for function with floor-function

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#summation #ceiling-and-floor-functions
297
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Values $nx - [nx]$ are distinct for an irrational number

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#irrational-numbers #ceiling-and-floor-functions
951
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Full series expansion of the floor function

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#fourier-series #ceiling-and-floor-functions
161
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Modeling a greatest integer function

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#mathematical-modeling #ceiling-and-floor-functions
2k
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Finding the value of one-sided limits and greatest integer function.

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#calculus #limits #ceiling-and-floor-functions
2.1k
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Discontinuity of floor function

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#real-analysis #analysis #continuity #ceiling-and-floor-functions
271
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Solve $\lfloor x^2 + 2x \rfloor = \lfloor x^2 \rfloor + 2 \lfloor x \rfloor$

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#algebra-precalculus #ceiling-and-floor-functions
102
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How can I solve: ${\left [{x+1}\over2\right]}={x-1\over 3}$?

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#algebra-precalculus #ceiling-and-floor-functions #integers
311
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Prove the sequences $\lfloor \alpha n\rfloor $ and $\lfloor \beta n\rfloor $ are disjoint

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#arithmetic #contest-math #ceiling-and-floor-functions
33
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Proving function defined by algorithm is convex

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#algorithms #convex-analysis #ceiling-and-floor-functions
1.1k
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Summation with Ceilinged Logarithmic Function

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#discrete-mathematics #summation #logarithms #ceiling-and-floor-functions

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