Alan Bromborsky wrote:
> Scott wrote:
>    
>> My integral has several pieces  like this:
>>
>> int^x1_x0 int ^t0_t1 (dot(del_a(t)).T* R *b ) dt dx
>>
>> del_a is 3*1, b is 3*1 and R is 3*3 rotation tensor( or a non
>> orthogonal velocity transformation tensor H)
>>
>> R,H and b are are constant over the interval of integration.
>> R=H inv(H.T)
>>
>> My goal is to perform symbolic manipulations, plug in basis functions
>> and do collections  in del_a R b form while preserving the vector
>> orientations.
>>
>> With del_a linear (C1) in time the answer should be: (x1-x0)(del_a
>> (t1).T-del_a(t0).T)* R* b =  scalar
>> At this time all the pieces are added together and collected wrt the
>> del terms yielding a nonlinear system.  At this point the  tensors are
>> populated.
>>
>> On Dec 1, 3:28 pm, Scott<scotta_2...@yahoo.com>   wrote:
>>
>>      
>>> Is there a sympy function for making symbolic tensors?
>>> Basically I want to treat 3x3 rotation tensor symbol that is constant
>>> inside of an integral while preserving the tensor algebra (A*B .ne.
>>> B*A).  The 3x3 rotain tensor is multiplied by a 3x1 position tenosr
>>> which is integrated.
>>>
>>>    Is there a built in function for converting a 3*1  tensor to a skew
>>> antisymetric cross product matrix then back again?
>>> V/R
>>>
>>> Scott
>>>
>>>        
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>>
>>      
> Where is the position (x) dependence in the intergrand?
>
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>    
Also what is T?

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