Floor and Ceiling Functions

Floor and Ceiling Functions - Problem Solving


How many 0 0 's are on the end of 180!? 180!?

Note: 180!180! is the factorial of 180,180, which means 180×179×178××2×1.180\times179\times178\times\cdots\times2\times1.

The positive root of 20x2=x20x^2=\lceil x \rceil is A.A. Find the value of 1A2.\frac{1}{A^2}.

Evaluate i=14416i45.\sum_{i=1}^{44}\left\lfloor\frac{16i}{45}\right\rfloor.


i=1128log2i. \sum_{i=1}^{ 128 } \lfloor \log_2 i \rfloor .

Which of the figures above correctly illustrates the graph of y={x}?y=\{x\}?

Note: {x}\{x\} denotes the fractional part function.


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