In https://www.cs.umd.edu/~rrand/vqc/Real.html#lab1 one can read: Coq's standard library takes a very different approach to the real numbers: An axiomatic approach. and one can find the following...

I am not quite sure of what is the correct regex for the period in Java. Here are some of my attempts. Sadly, they all meant any character. String regex = "[0-9]*[.]?[0-9]*"; String regex = "[0-9]...

I was wondering whether Coq defined the real numbers as Cauchy sequences or Dedekind cuts, so I checked Coq.Reals.Raxioms and... none of these two. The real numbers are axiomatized, along with thei...

Suppose we have something like this: Suppose x is a real number. Show that if there is a real number y such that (y + 1) / (y - 2) = x, then x <> 1". If one formulates it in an obvious way: fo...

I was reading a book (CSAPP) . In the book it is written that- floating point addition satisfies the following monotonicity property : if a>=b then (x + a) >= (x+b) for any value a,b and x o...

I need to format a real number with leading zeros in the whole number part prior to the decimal point. I know how to achieve this with integers, but the syntax for reals escapes me. Number := 1.23...

I am just wondering how is the "less than" relationship defined for real numbers. I understand that for natural numbers (nat), < can be defined recursively in terms of one number being the (1+)...