tensor
Syntax
- t := tensor(<m><,n2><,n3><,n4><,n5><,n6>)
Gets a new tensor type.
- How this is is created and initialize depends on the type (if any) passed as an argument
If no types are passed, then a default tensor (all components zero) is created.
If one to six numbers (integers or floats) are passed, then the tensor is initialized in the component order xx, yy, zz, xy, xz, yz.
If a list is given, then up to the first six elements of the list are converted to floats and used to initialize the tensor components in the same order.
If a matrix is given, then it must be a 3x3 matrix. It is made symmetric (diagonal elements averaged) and returned as a tensor.
If a 3-D vector is given, then the diagonal components of the tensor (xx,yy,zz) are initialized the (x,y,z) components of the vector. The xy, xz, and yz components will be zero.
- If an array is given then, then how the array elements are converted to a tensor depends on the array size and dimension.
A 3x3 array is converted to a tensor as a matrix, with the diagonal elements averaged.
A 2x2 array is converted as a 2D tensor, with the xy elements averaged and the zz, xz, and yz components assumed to be zero.
A 1D array 6 elements long is converted to a tensor in the order xx, yy, zz, xy, xz, yz.
A 1D array 4 elements long is converted to a tensor in the order xx, yy, zz xy, with xz=0 and yz=0.
A 1D array 3 elements long is converted to a tensor in the order xx, yy, xy with zz=0, xz=0, and yz=0.
- Returns:
t - A new tensor object
- Arguments:
m - One of five types than can be used to create a new tensor type. n2 - An optional number representing the yy component. n3 - An optional number representing the zz component. n4 - An optional number representing the xy component. n5 - An optional number representing the xz component. n6 - An optional number representing the yz component.
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