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discrete mathematics - Solving equations involving the floor function . . . so clearly the floor of x divided by x must be less then or equal to 2 3; or x divided by the floor of x is greater then or equal to 3 2; Of course there is another constraint that I have left out (3⌊x⌋ ≤ 2x < 3⌊x⌋+1) but I am sure it is simpler this way
ceiling and floor functions - What is the mathematical notation for . . . $\begingroup$ @richard1941 - You appear to have completely missed the point of my remark, which was to give an example of why "rounding to the nearest integer" is ambiguous, thus supporting the point that when discussing rounding, one should be clear about what rules you are following
symbols - Floor and ceiling functions - 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
how does a floor function work? - Mathematics Stack Exchange $\begingroup$ I think "simply" isn't quite the right word, maybe "effectively " IEEE 754 format (in normal form) stores numbers as $\pm 1 bbb bb \times 2^n$, so to compute the floor it would first need to figure out where the decimal place is, and then replaces the corresponding digits (if any) to 0, and if the result would be 0, then the format switches to denormalized form
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
How to write ceil and floor in latex? - LaTeX Stack Exchange \floor is not defined in amsmath The \DeclaredPairedDelimiter' is good, but in comparison to the \newcommand` above it mostly provides an easy way to change the code when a different size is required
Big floor symbols - TeX - LaTeX Stack Exchange A LaTeX-y way to handle this issue would be to define a macro called, say, \floor, using the \DeclarePairedDelimiter device of the mathtools package With such a setup, you can pass an optional explicit sizing instruction -- \Big and \bigg in the example code below -- or you can use the "starred" version of the macro -- \floor* -- to autosize
How to represent the floor function using mathematical notation? When a computer evaluates floor(x), it's all math The printed (or electronically stored) notation for a rational number which approximates a real number is a mathematical object The printed (or electronically stored) notation for a rational number which approximates a real number is a mathematical object