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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
How to represent the floor function using mathematical notation? 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?
Adjusting the height of math floor symbol - TeX 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?