1
vote
2answers
165 views

Notation: subscript vs. superscript for coordinate vector fields

Some books write the coordinate vector fields as $$\frac{\partial}{\partial x_i}$$ with a subscript, and some write it as $$\frac{\partial}{\partial x^i}.$$ Is there a conceptual reason for this ...
2
votes
2answers
105 views

Is there the shortest notation for a vector obtained by projecting $\vec{A}$ onto $\vec{B}$?

Is there the shortest notation defined for a vector obtained by projecting $\vec{A}$ onto $\vec{B}$? Is there the shortest notation defined for the complementary vector of a vector obtained by ...
2
votes
1answer
57 views

what is the right notation for this operation on two vectors?

I am trying to find the right notation for this operation on two vectors of size N and M. I do not believe it is the dot product, because there is no sum for the multiplication of each element. ...
1
vote
1answer
309 views

Index/Einstein notation to derive Gibbs/Tensor relations

In a few continuum classes I have seen indicial notation used to derive relations in Gibbs notation. However, Gibbs notation is valid for all coordinates while indicial notation is valid only for ...