greatest integer function

Question

mathmath333 · Answer

$\large \color{black}{\begin{align} 
& \normalsize \lfloor{x\rfloor}= \text{greatest integer less than or equal to x} \hspace{.33em}\~\
& \normalsize \lceil{x\rceil}=\text{smallest integer greater than or equal to x} \hspace{.33em}\~\
& \normalsize \text{If }\ x\ \text{is not an integer. } \hspace{.33em}\
& \normalsize \text{Prove that }  \lceil{x\rceil} +\lfloor{x\rfloor}\ \text{is an odd integer } \hspace{.33em}\~\
\end{align}}$

parthkohli · Answer

If $\lfloor x \rfloor = k$ then $\lceil x \rceil = k + 1$. Add those and you get $2k + 1$.

amoodarya · Answer

suppose x  is not integer  
then$$ n \le x <n+1\ \lfloor x \rfloor=n\ \lceil x \rceil=n+1\ \lfloor x \rfloor +\lceil x \rceil=n+n+1$$

mathmath333 · Answer

looks great!

anonymous · Answer

where is that medal all button?

mathmath333 · Answer

u r experiencing a bug i think

dan815 · Answer

u will always add oddd + even so

dan815 · Answer

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