Floor Cover For Electrical Cords

Is there a convenient way to typeset the floor or ceiling of a number, without needing to separately code the left and right parts? For example, is there some way to do $\ceil{x}$ instead of $\lce...

The height of the floor symbol is inconsistent, it is smaller when the fraction contains a lowercase letter in the numerator and larger when the fraction contains numbers or uppercase letters in the numerator. Why is that the case? How can I produce floor symbols that are always the larger size shown in the picture?

floor cover for electrical cords 2

Is there a macro in latex to write ceil (x) and floor (x) in short form? The long form \left \lceil {x}\right \rceil is a bit lengthy to type every time it is used.

floor cover for electrical cords 3

How to write ceil and floor in latex? - LaTeX Stack Exchange

4 I suspect that this question can be better articulated as: how can we compute the floor of a given number using real number field operations, rather than by exploiting the printed notation, which separates the real and fractional part, making nearby integers instantly identifiable. How about as Fourier series?

floor cover for electrical cords 5

What are some real life application of ceiling and floor functions? Googling this shows some trivial applications.

OR Floor always rounding towards zero. Ceiling always rounding away from zero. E.g floor (x)=-floor (-x) if x<0, floor (x) otherwise If gravity were reversed, the ceiling would become the floor. So from a physics standpoint the standard mathematical definition might be inadequate.

How do the floor and ceiling functions work on negative numbers ...

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Truncation rounds negative numbers upwards, and positive numbers downwards. Floor rounds all numbers downwards, and ceiling rounds all numbers upwards. Is there a term/notation/whatever for the fou...