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15
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Is it true that $[N*a]=N*[a]$?

Published on
#calculus #approximation #ceiling-and-floor-functions
123
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Why isn't $\lim_{x \to 0^+} x \left[ \frac px \right] = 0$?

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#real-analysis #limits #ceiling-and-floor-functions
60
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Find the range of $a$

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#functions #ceiling-and-floor-functions #even-and-odd-functions
74
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Taking the integral with absolute value and the floor function

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#calculus #integration #definite-integrals #ceiling-and-floor-functions
40
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Is there a way to write this out in a better way? I want to get rid of an Iverson bracket

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#discrete-mathematics #ceiling-and-floor-functions
1.2k
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Show that $f(x) = \lfloor \sqrt{2} \cdot x\rfloor$ is primitive recursive function.

Published on
#computability #recursion #ceiling-and-floor-functions
415
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Summation of the minimum of two options

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#summation #maxima-minima #ceiling-and-floor-functions
200
Views

Concrete Mathematics(3.2) - Doubt in a Summation involving Floor Function

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#discrete-mathematics #summation #ceiling-and-floor-functions
106
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Function $f:\mathbb{R}\mapsto \mathbb{R}$ satisfying $f(f(x))=x+\lfloor x\rfloor$

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#functional-equations #ceiling-and-floor-functions
107
Views

On continuity of floor, modulus and fractional part function.

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#algebra-precalculus #limits #limits-without-lhopital #ceiling-and-floor-functions #fractional-part
90
Views

Definite integral concerning the greatest integer function

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#calculus #definite-integrals #ceiling-and-floor-functions
94
Views

Is there any relation between $\lfloor n/k\rfloor$ and $\lfloor n/(k+1)\rfloor$?

Published on
#inequality #ceiling-and-floor-functions
56
Views

On the validity of a manual-calculation-friendly variation of the Legendre's formula: $\nu_p(n!)=\sum_{i=1}^\infty\lfloor\frac{n}{p^i}\rfloor$.

Published on
#elementary-number-theory #divisibility #ceiling-and-floor-functions
74
Views

Find maximum of a composition of floor functions

Published on
#maxima-minima #ceiling-and-floor-functions
139
Views

sums of floor and sqrt functions

Published on
#summation #ceiling-and-floor-functions

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