UT3Tangent.apply
================

.. py:method:: t3toolbox.uniform_manifold.UT3Tangent.apply(ww)

   .. code-block:: python

      def apply(
              self,
              ww:  typ.Sequence[NDArray],  # apply vectors, len=d, ith elm_shape=W+(Ni,)
      ) -> NDArray:                        # scalar apply, shape=W+K+C


   Apply this tangent vector in all modes (the all-modes special case of :py:meth:`probe`; a scalar
   per stack element, stacked ``W+K+C``). The bare ``𝒥``. Uniform mirror of
   :py:meth:`~t3toolbox.manifold.T3Tangent.apply`.

   .. rubric:: Examples

   >>> import numpy as np
   >>> import t3toolbox.tucker_tensor_train as t3
   >>> import t3toolbox.uniform_tucker_tensor_train as ut3
   >>> import t3toolbox.uniform_manifold as ut3m
   >>> np.random.seed(0)
   >>> x = ut3.UniformTuckerTensorTrain.from_t3(t3.TuckerTensorTrain.randn((10, 11, 12), (5, 6, 4), (1, 2, 3, 1)))
   >>> v = ut3m.UNIFORM_COREWISE.randn(ut3m.UNIFORM_MANIFOLD.frame(x))
   >>> ww = (np.random.randn(10), np.random.randn(11), np.random.randn(12))
   >>> print(bool(abs(float(v.apply(ww)) - float(np.einsum('ijk,i,j,k->', v.to_dense(), *ww))) < 1e-9))
   True