The result of subtracting the integer part of x from xI want to know what does this formula do with the integer x frac ( x ) = x − ⌊ x ⌋ , x &gt;= 0I've searched and found that this is called finding the fraction part of xCan anyone explain it for me?

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The result of subtracting the integer part of   x from   xI want to know what does this formula do with the integer   x  frac  (  x  )  =  x  −  ⌊      x    ⌋  ,     x  &amp;gt;=  0I&#039;ve searched and found that this is called finding the fraction part of   xCan anyone explain it for me?

Belen Bentley · Accepted Answer

First, look at  ⌊      x    ⌋which finds the largest integer less than or equal to   x. Some examples:                    x                          ⌊                  x                ⌋                            3.2                          3.0                            1.999                          1                            0.5                          0.0                            4.0                          4.0            Now let&#039;s subtract   ⌊      x    ⌋ from   x:                    x                          ⌊                  x                ⌋                          x        −        ⌊                  x                ⌋                            3.2                          3.0                          0.2                            1.999                          1                          0.999                            0.5                          0.0                          0.5                            4.0                          4.0                          0.0            In short: for positive numbers, this expression is &quot;the stuff to the right of the decimal point.&quot;Extra credit: You might ask yourself why this doesn&#039;t work for negative numbers.

rigliztetbf · Accepted Answer

The &#039;floor&#039; function   (  ⌊  ⋅  ⌋  ), returns the largest integer value which is less than (or equal to) the argument which was provided.For example:  ⌊  4  ⌋  =  ⌊  4.5  ⌋  =  4The function you created &#039;frac&#039; is the difference of the argument, and it&#039;s integer part, so that you are basically returning the fractional remainder

The result of subtracting the integer part of x from x I want to know what does this fo

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