New posts in ceiling-and-floor-functions

Multiple of real numbers with only $0$'s and $1$'s in the integer part

elementary-number-theory real-numbers ceiling-and-floor-functions decimal-expansion

Evaluation of the sum $\sum_{i=1}^{\lfloor na \rfloor} \left \lfloor ia \right \rfloor $

elementary-number-theory summation ceiling-and-floor-functions

How to find $\lim_{x \to \infty} [x]/x$?

real-analysis limits ceiling-and-floor-functions

Recurrence problem: find $a_{1000}$ from $a_{0}$

recurrence-relations ceiling-and-floor-functions

The number of ways to represent a natural number as the sum of three different natural numbers

combinatorics contest-math ceiling-and-floor-functions natural-numbers telescopic-series

Integer parts of multiples of irrationals

number-theory analysis irrational-numbers ceiling-and-floor-functions set-partition

Integration of some floor functions

calculus integration definite-integrals indefinite-integrals ceiling-and-floor-functions

odd prime division

number-theory prime-numbers ceiling-and-floor-functions

Derivative of floor function using epsilon/delta

real-analysis derivatives continuity epsilon-delta ceiling-and-floor-functions

Closed form of $\sum\limits_{i=1}^n\left\lfloor\frac{n}{i}\right\rfloor^2$?

summation closed-form ceiling-and-floor-functions

I can't seem to prove propositions involving floor/ceiling function and the like..

proof-writing proof-explanation self-learning ceiling-and-floor-functions

Find the two last digits of $[(29+\sqrt{21})^{2000}]$.

elementary-number-theory ceiling-and-floor-functions

Find $q$ such that $[q[qn]]+1=[q^2n]$ for $n=1,2,\dotsc$

algebra-precalculus number-theory elementary-number-theory ceiling-and-floor-functions golden-ratio

Simplifying $\sum_{i=1}^n{\lfloor \frac{n}{i} \rfloor}$?

summation ceiling-and-floor-functions harmonic-numbers

When $\lfloor{ab}\rfloor = \lfloor{a}\rfloor\lfloor{b}\rfloor$

elementary-number-theory ceiling-and-floor-functions

Curious limit of a sequence used to prove Etemadi's SLLN

real-analysis sequences-and-series limits probability-theory ceiling-and-floor-functions

Is it possible to define $\lceil x\rceil$ in terms of $\lfloor\ldots\rfloor$?

algebra-precalculus definition ceiling-and-floor-functions

Inequality involving ceiling of square

algebra-precalculus elementary-number-theory ceiling-and-floor-functions

Solving equations involving the floor function

discrete-mathematics ceiling-and-floor-functions

When does $\left\lfloor\sqrt{2015(n-1)}\right\rfloor = \left\lfloor\sqrt{2015n}\right\rfloor$ hold?

number-theory elementary-number-theory ceiling-and-floor-functions