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Is there a macro in latex to write ceil(x) and floor(x) in short form A more stable solution is to use the middle points of the. The long form \\left \\lceil{x}\\right \\rceil is a bit lengthy to type every time it is used.

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The correct answer is it depends how you define floor and ceil It works only, because x values for the sample points except the first are a tiny bit (rounding error) too small You could define as shown here the more common way with always rounding downward or upward on the number line.

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. When i write \\lfloor\\dfrac{1}{2}\\rfloor the floors come out too short to cover the fraction How can i lengthen the floor symbols? I understand what a floor function does, and got a few explanations here, but none of them had a explanation, which is what i'm after

Can someone explain to me what is going on behind the scenes. The most natural way to specify the usual principal branch of the arctangent function basically uses the idea of the floor function anyway, so your formula for the floor function is correct but somewhat circular. The floor function turns continuous integration problems in to discrete problems, meaning that while you are still looking for the area under a curve all of the curves become rectangles. What are some real life application of ceiling and floor functions

Googling this shows some trivial applications.

It natively accepts fractions such as 1000/333 as input, and scientific notation such as 1.234e2 If you need even more general input involving infix operations, there is the floor function provided by package xintexpr. \end{axis} \end{tikzpicture} \end{document} the sample points are marked The number of samples is the number of lines plus one for an additional end point