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How do the floor and ceiling functions work on negative numbers? The correct answer is it depends how you define floor and ceil You could define as shown here the more common way with always rounding downward or upward on the number line 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
Can floor (floor (a b) c) ever be different to floor (a (bc . . . You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
validity of floor function property floor(a b)+floor(c d)=floor(a+c b*d) You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Floor and ceiling functions - TeX - LaTeX Stack Exchange 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
Floor function plot with TikZ - TeX - LaTeX Stack Exchange It looks to me as though TiKZ is sampling at data points which are unevenly spaced from grid cell to grid cell I suspect that the plot is perfectly correct, except that the points on the x-axis which it is sampling at is much more coarse than you might like