Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 RatioEqual

Source Notebook

Check if two lists are equal as ratios

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["RatioEqual"][list1,list2,…]

returns True if all of the listi are equivalent as ratios.

Details and Options

Two lists are equivalent as ratios if they have the same length and quotients of corresponding elements all give the same result.
ResourceFunction["RatioEqual"] treats input decimals as exact representations of their rational equivalents. The rational representation of a decimal x is computed as FromDigits[RealDigits[x]].

Examples

Basic Examples (2) 

Test if two lists are in the same proportion:

In[1]:=
ResourceFunction["RatioEqual"][{2, 4}, {1, 2}]
Out[1]=

Order matters in the comparison of the lists as ratios:

In[2]:=
ResourceFunction["RatioEqual"][{2, 8, 4}, {1, 2, 4}]
Out[2]=

Scope (2) 

Test if two ratios involving real and rational numbers are equivalent from a mathematical perspective:

In[3]:=
ResourceFunction["RatioEqual"][{1/2, 1}, {.5, 1}]
Out[3]=

Two ratios with symbolic numbers can be equivalent:

In[4]:=
ResourceFunction["RatioEqual"][{2 \[Pi], 4, 8}, {1 \[Pi], 2, 4}]
Out[4]=

Publisher

Wolfram|Alpha Math Team

Version History

  • 3.0.0 – 23 March 2023
  • 2.0.0 – 01 April 2020
  • 1.0.0 – 19 March 2020

Related Resources

License Information