PositiveRationals

PositiveRationals

represents the domain of strictly positive rational numbers, as in xPositiveRationals.

Details

  • xPositiveRationals evaluates immediately if x is a numeric quantity.
  • Simplify[exprPositiveRationals,assum] can be used to try to determine whether an expression corresponds to a positive rational number under the given assumptions.
  • (x1|x2|)PositiveRationals and {x1,x2,}PositiveRationals test whether all xi are positive rational numbers.
  • The domain of positive integers is taken to be a subset of the domain of positive rationals.
  • PositiveRationals is output in StandardForm or TraditionalForm as TemplateBox[{}, PositiveRationals]. This typeset form can be input using prats.

Examples

open all close all

Basic Examples  (3)

2/3 is a positive rational number:

In[1]:=
Click for copyable input
Out[1]=

A sum of positive rational numbers is a positive rational number:

In[1]:=
Click for copyable input
Out[1]=

Find positive rational solutions of an equation:

In[1]:=
Click for copyable input
Out[1]=

Scope  (5)

Properties & Relations  (4)

Introduced in 2019
(12.0)