Is there an all-inclusive term that applies to difference or comparison?

[probiner]

If I have

C = B-A

I guess I can say C is B with a origin or base that is not 0, but A.
I assume (?) C is called the delta from A to B. Now, there's a lot of things that concern this type of operation of having a different starting reference. Like when I measure the angle between two vectors I can assume I'm making one of them my new base (especially if I want a 360º range and not just 180).
Is there an abstract name for this comparison operation, put something in a perspective of something else?
Also, Is there a name for the resulting value applicable to many types of transformation? Is "delta" it? Can I say rotation delta or scale delta, etc?

More over is there a symbol to denote "origin" or "base" or "reference" that one can use as a mark to indicate that one of two variables is the new base or the other is being put in reference of the one with the mark?

Thanks!

 

[Ishuda]

If I have

C = B-A

I guess I can say C is B with a origin or base that is not 0, but A.
I assume (?) C is called the delta from A to B. Now, there's a lot of things that concern this type of operation of having a different starting reference. Like when I measure the angle between two vectors I can assume I'm making one of them my new base (especially if I want a 360º range and not just 180).
Is there an abstract name for this comparison operation, put something in a perspective of something else?
Also, Is there a name for the resulting value applicable to many types of transformation? Is "delta" it? Can I say rotation delta or scale delta, etc?

More over is there a symbol to denote "origin" or "base" or "reference" that one can use as a mark to indicate that one of two variables is the new base or the other is being put in reference of the one with the mark?

Thanks!

The interpretation depends on the context. For example suppose C and B represented graphs of some function f(x) and A were a positive scalar. Then C = B - A could be expressed as 'The graph C is the graph B shifted down A units'.

 

[Bob Brown MSEE]

metric spaces

The real numbers with the distance function

given by the absolute difference, is the metric that defines the real numbers.
The vectors with the distance function

given by the absolute difference, is the metric that defines a Euclidean n-space.