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Who can solve floor(y) = x for y?

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#graphing-functions #ceiling-and-floor-functions
129
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Memorize inequalities about floor function

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#inequality #ceiling-and-floor-functions #mnemonic
347
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How to prove the formula for nearest integer for a given real number x?

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#ceiling-and-floor-functions
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Greatest Integer function limit problem

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#calculus #limits #ceiling-and-floor-functions
125
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Limit of trigonometric function involving floor function

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#real-analysis #sequences-and-series #limits #ceiling-and-floor-functions
134
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A floor function equation

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#calculus #algebra-precalculus #special-functions #ceiling-and-floor-functions
94
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Identity or an equation?

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#calculus #algebra-precalculus #functions #ceiling-and-floor-functions
399
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Calculate $\sum_\limits{k=1}^{100}\left \lfloor \sqrt{k}+\frac{1}{k} \right \rfloor$

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#summation #ceiling-and-floor-functions
1.1k
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Summation involving floor of irrational numbers.

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#summation #irrational-numbers #ceiling-and-floor-functions
260
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Concrete Mathematics Section 3.5: Floor / Ceiling sum manipulation

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#summation #ceiling-and-floor-functions
101
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Concrete Mathematics: Why replace floor of x with a sum is correct?

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#summation #ceiling-and-floor-functions
636
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Infinite series containing ceiling function

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#sequences-and-series #closed-form #ceiling-and-floor-functions #theta-functions
48
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$\operatorname{card}\bigl((a,b]\cap \Bbb{Z}\bigr)=\lfloor b\rfloor-\lfloor a\rfloor$ for $a,b\in \Bbb{R}$

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#real-analysis #ceiling-and-floor-functions
32
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Using $k^n$ to get sum of digits of $k^{n+1}$, where $n,k \in \mathbb{N}$

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#sequences-and-series #summation #modular-arithmetic #ceiling-and-floor-functions
119
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Rule of Thumb for Finding Error in Floor Terms

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#summation #ceiling-and-floor-functions

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