Multiaxis

Prefixed by ten... (tensor).

Handle multiaxis vectors, that for example represent multivariate polynomials.

Results are returned as numpy arrays.

Broadcasting happens similar to numpys broadcasting, but the axes are matched in ascending order instead of descending order, and the arrays don't get stretched but rather padded with zeros.

creation

• tenzero: Zero tensor.

• tenbasis(i, c=1): Return the i-th basis tensor times c.

• tenrand(*d): Wrapper for numpy.random.rand.

• tenrandn(*d): Wrapper for numpy.random.randn.

utility

• tenrank(t): Return the rank of the tensor.

• tendim(t): Return the dimensionalities of the tensor.

• tentrim(t, tol=1e-9): Remove all trailing near zero (abs(v_i)<=tol) coefficients.

• tenround(t, ndigits=0): Wrapper for numpy.round.

vector space

• tenpos(t): Return the tensor with the unary positive operator applied.

• tenneg(t): Return the tensor with the unary negative operator applied.

• tenaddc(t, c, i=(0,)): Return t with c added to the i-th coefficient. More efficient than tenadd(v, tenbasis(i, c).

• tenadd(*ts): Return the sum of tensors.

• tensub(s, t): Return the difference of two tensors.

• tenmul(a, t): Return the product of a scalar and a tensor.

• tentruediv(t, a): Return the true division of a tensor and a scalar.

• tenfloordiv(t, a): Return the floor division of a tensor and a scalar.

• tenmod(t, a): Return the elementwise mod of a tensor and a scalar.

elementwise

• tenhadamard(*ts): Return the elementwise product of tensors.

• tenhadamardtruediv(s, t): Return the elementwise true division of two tensors.

• tenhadamardfloordiv(s, t): Return the elementwise floor division of two tensors.

• tenhadamardmod(s, t): Return the elementwise mod of two tensors.