Exact(14)
Coincidentally, "The Golden Age" spans the same time period (1939-54) that is captured far more zestily by another current cameo-filled novel, Michael Chabon's "Amazing Adventures of Kavalier & Clay".
According to (31) and (32), Us spans the same range as that of the mixed steering matrix YFN.
In order to solve it, we make a simplifying assumption that R S ⊗ B-1 spans the same subspace as, i.e., (21).
Let (tilde {mathbf {H}} = mathbf {H} mathbf {T}) be the lattice-reduced channel matrix, where (tilde {mathbf {H}}) spans the same lattice as H and T is a complex integer unimodular matrix.
As far as B spans the same p-dimensional subspace of R n as A, an additional vector b p+1 computed by following the procedure stated at (2) is also orthogonal to all the vectors included in A and B. This algebraic assertion constitutes the cornerstone of the OSP method with Gram-Schmidt orthogonalization.
In other words, it spans the same subspace as A0, where A0 = A0,t◊ A0,ris a N t N r × L0 submatrix of A that contains the L0 columns of matrix A, corresponding to the L0 signals included in the selected time-frequency region.
Similar(46)
One of the things I really liked at the Baltic was that you could look up the river and see seven different bridges -- all spanning the same river and all different.
We show that the basis functions in general do not span the same space, and that conditioning numbers are comparable.
The histograms span the same ten years reference period, but have been normalized for a clearer comparison.
Out of 25347 annotated entities in the testing dataset less than 0.19% spanned the same token, which is truly negligible.
A standard approach is the Gram-Schmidt orthogonalization algorithm, which computes a set of orthonormal vectors spanning the same space as the given set of vectors.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com