Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Core Language > List Manipulation > Applying Functions to Lists > Ratios >
Mathematica > Data Manipulation > Handling Arrays of Data > Applying Functions to Lists > Ratios >
Mathematica > Data Manipulation > Image Processing & Analysis > Basic Image Manipulation > Handling Arrays of Data > Applying Functions to Lists > Ratios >
BUILT-IN MATHEMATICA SYMBOLSee Also »|More About »

Ratios

Ratios[list]
gives the successive ratios of elements in list.
Ratios
gives the n^(th) iterated ratios of list.
Ratios
gives the successive ^(th) ratios at level k in a nested list.
MORE INFORMATION
  • Ratios divides successive elements by preceding ones, so that Ratios gives .
  • If list has length s, Ratios has length .
  • Ratios or Ratios finds the successive ratios of rows in a 2D array or matrix m. Ratios finds the ratios of columns.
EXAMPLESCLOSE ALL
Basic Examples   (2)
First ratios:
Second ratios:
First ratios:
In[1]:=
Click for copyable input
Out[1]=
 
Second ratios:
In[1]:=
Click for copyable input
Out[1]=
Scope   (2)
Ratios of rows, within each column:
Ratios of columns, within each row:
Properties & Relations   (2)
First ratios are constant for a geometric sequence:
FoldList with Times acts as an inverse of Ratios:
New in 7
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF