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How many values of $n$ are there for which $n!$ ends in $1998$ zeros?

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#algebra-precalculus #elementary-number-theory #summation #factorial #ceiling-and-floor-functions
182
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When is it true that $x^2 < \lfloor{x}\rfloor \lceil{x}\rceil$?

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#real-analysis #calculus #analysis #inequality #ceiling-and-floor-functions
32
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Solving $\lfloor|x+1|-|x|\rfloor\geq x^2$

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#inequality #ceiling-and-floor-functions
46
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Derivation of $[x + y] = [x] + [y + x - [x]]$ and the range of the $floor$ $function$

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#functions #ceiling-and-floor-functions
176
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Floor or Ceiling Function encoding in First Order logic?

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#first-order-logic #ceiling-and-floor-functions
130
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Closed form for summation involving ceil function

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#sequences-and-series #summation #ceiling-and-floor-functions
255
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Continuity of the greatest integer function

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#functions #derivatives #continuity #ceiling-and-floor-functions
128
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Find the greatest integer less than or equal to $\sum\limits_{n=1}^{9999} \frac {1} {n^{\frac 1 4}}.$

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#number-theory #ceiling-and-floor-functions
275
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Does this limit exist for integers'part?

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#calculus #ceiling-and-floor-functions
104
Views

How do I correctly deal with equations involving floor (or ceiling) functions?

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#ceiling-and-floor-functions
671
Views

What is the difference between f(x) =[|x|] (floor function) and f(x)=x-[|x|] (fractional part)?

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#real-analysis #calculus #ceiling-and-floor-functions
92
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Integer solutions to $b^3=(a \bmod b)\cdot(a-a\bmod b)$

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#number-theory #elementary-number-theory #modular-arithmetic #fractions #ceiling-and-floor-functions
74
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Solve $\lfloor{\sin x}\rfloor+\lfloor{\cos x}\rfloor=2^{1-|\sin x|}$

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#functions #trigonometry #ceiling-and-floor-functions
53
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Floor, ceil problem

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#integers #ceiling-and-floor-functions #pi
116
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Is it true that $[\pi^n] $ is a prime number for only finitely many integers $n$?

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#ceiling-and-floor-functions #pi #primality-test

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