# How does one solve equations involving the floor and ceiling functions?

Help needed in understanding floor and ceiling functions when used in equations. Examples needed.

Note by Priyankar Kumar
5 years, 3 months ago

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2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
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\boxed{123} $$\boxed{123}$$

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I can't remember any specific examples, but the two most common ways are (a) to express x as floor(x) + fractional part, usually written as {x}, and (b) find out what kind of interval x should be in in order to satisfy the equation.

- 5 years, 3 months ago