Up | Japanese Usage of "m x n"  


We apply the product of numbers to many situations, though their impressions to us are somehow different to each other.





The reason why the product of numbers is equally applied to those situations that we are differently impressed is that
  1. those are of the same form, or structure, and that
  2. the product of numbers can be applied exactly to this form/structure.



This is the form :



Note !
we applies the product of numbers to such situations as we can read this form.



Let's see how a situation is abstracted when we use the product of numbers to obtain the number of elements of a class, where the elements are arranged in the form of matrix.


(QTmovie 117K)

(QTmovie 158K)


The way of abstraction in the case of getting
  1. distance from the values of time and velosity
  2. area from the values of width and height will be treated in the chapters of the "rational relations" and the "length, area, volume", respectively.