●●Introduction:-
For developing the Algebra of sensors it is convenient to introduce coordinate systems in Vn . An ordered set of n variables y1,y2.............yn is called a point and is denoted by (y1 ,y2 ,..........yn ).
The variables are coordinates of this points . A curve is obtained it the yi ' s are function of one parameter. A hyper surface is obtained if they are functions of (n-1) independent parameters.
●●●Quotient Law of Tensors ::-
We start with some simple cases
1. Let Ai be a set of functions of the coordinates x1 ,x2 , ..........xn . Which transforms into a set of functions Ai of the new coordinates x-1,.......x-n .
For developing the Algebra of sensors it is convenient to introduce coordinate systems in Vn . An ordered set of n variables y1,y2.............yn is called a point and is denoted by (y1 ,y2 ,..........yn ).
The variables are coordinates of this points . A curve is obtained it the yi ' s are function of one parameter. A hyper surface is obtained if they are functions of (n-1) independent parameters.
●●●Quotient Law of Tensors ::-
We start with some simple cases
1. Let Ai be a set of functions of the coordinates x1 ,x2 , ..........xn . Which transforms into a set of functions Ai of the new coordinates x-1,.......x-n .
Comments
Post a Comment