Atlas Paclet Symbol

Vectors - declaration of vectors

Vectors[v₁, v₂, ..., v_i, ..., v_n]
allows one to declare vectors.

MORE INFORMATION

v_i - vector identivier.

In the Atlas package any identifier is treated as 0-form i.e. as non-constant scalar (if it not declared as constant, p-form, tensor etc. (see Types).

One can declare indexed vectors e.g. _j is treated as a set of vectors ₁, ₂, .._j.

Declare f, h and z as functions:

In[2]:=

Out[2]=

Verify that

₁ is vector using kind (see Kind) and type procedures:

Construct new [2,0] tensors T_{i, j} using tensor product operator (see CircleTimes):

In[5]:=

Out[5]=

Calculation of Lie derivative (see L):

In[6]:=

Out[6]=

Some more examples (see iota and Wedge):

Let's see "who is who"

In[9]:=

Out[9]//TableForm=

In[10]:=

Out[10]//TableForm=

atlas package Documentation

Declaration operators

Calculation operators

Standard DG operators

Utility operators

General Tutorials

Visualization Tutorials

Atlas Palette Tutorials

Atlas Wizard Tutorials

Vectors - declaration of vectors

More of DigiArea

Differential Geometry Library

Products

Support

Resellers

Company