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Linear algebra, affine space, and floor function

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#linear-algebra #reference-request #affine-geometry #ceiling-and-floor-functions
350
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Limit of sequence with floor function problem

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#calculus #limits #ceiling-and-floor-functions
2.2k
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Finding a closed form for a sum involving floor function $\sum\limits_{k=1}^nk\lfloor km/n\rfloor$

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#elementary-number-theory #summation #ceiling-and-floor-functions
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A finding a probability mass function with a floor function in it

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#probability #random-variables #ceiling-and-floor-functions
1.2k
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If $x\in\mathbb R$, solve $4x^2-40\lfloor x\rfloor+51=0$.

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#calculus #elementary-number-theory #roots #ceiling-and-floor-functions
52
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Proof of limiting function

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#functions #ceiling-and-floor-functions
546
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Proving that Spec(α) and Spec(ß) partition positive integers iff α and ß are irrational and 1/α + 1/ß = 1

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#discrete-mathematics #proof-writing #ceiling-and-floor-functions
399
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sum of ceiling function inequality

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#inequality #functional-inequalities #ceiling-and-floor-functions
4.7k
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Prove that if $m$ and $n$ are positive integers, and $x$ is a real number, then: $ceiling(\frac{ceiling(x)+n}{m}) = ceiling(\frac{x+n}{m})$

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#discrete-mathematics #ceiling-and-floor-functions
1.3k
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Prove the following identity holds for all real numbers $x$

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#discrete-mathematics #ceiling-and-floor-functions
153
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If I have $\lfloor\frac{E}{K}\rfloor =\lfloor \frac{E}{K + m}\rfloor$, what is the upper limit of 'm' in terms of 'E' and 'k'

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#inequality #fractions #ceiling-and-floor-functions
1.9k
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Solving a recurrence involving floor and square root (Concrete Mathematics 3.28)

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#discrete-mathematics #recurrence-relations #ceiling-and-floor-functions
587
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How to solve a ceiling expression or recurrence equation?

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#number-theory #recurrence-relations #ceiling-and-floor-functions
61
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How many numbers satisfy this floor condition

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#ceiling-and-floor-functions
816
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Converting division by a constant into multiplication

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#arithmetic #ceiling-and-floor-functions

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