SamplePublisher`GrassmannCalculus`
DtIndependentVariables |
|
| | ||||
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
A regular total derivative generate many subsidiary derivatives.
In[2]:=
SetEuclideanNSpace[2,{x,y},"Vector"]
[True]Dt[f[x,y],x,x,y]
 | FormatTotalDerivative |
Out[2]=
2
2
x
(0,2)
f
x
y
(1,1)
f
(2,1)
f
y
x
(1,2)
f
x
y
(2,1)
f
y
x
(1,2)
f
y
x
(0,3)
f
x
y
(1,2)
f
x
y
(2,1)
f
x
y
(3,0)
f
Declaring and to be independent eliminates all of generated total derivatives.
x
y
In[3]:=
Dt[f[x,y],x,x,y]/.
[{x,y}]
 | DtIndependentVariables |
Out[3]=
(2,1)
f
Here differentiation with respect to a dependent variable remains.
In[4]:=
Dt[f[x,y,t],t]/.
[{x,y}]
| DtIndependentVariables |
Out[4]=
(0,0,1)
f
y
t
(0,1,0)
f
x
t
(1,0,0)
f
 |
|
 |
|
""