Where is the unit matrix in four dimensions, and employing the Feynman slash notation.
2.
The empty string \ varnothing is understood to be just the unit matrix, so that
3.
In the Neglect of Diatomic Differential Overlap ( NDDO ) method the overlap matrix S is replaced by the unit matrix.
4.
An example is found in the matrix mechanics introduced by unit matrix, where' is the reduced Planck constant.
5.
Because one can divide the top and bottom of the transformation by D, we lose no generality by setting D to the unit matrix.
6.
Weights would then be given by coordinates and the sum over all coordinates has to be zero ( because the unit matrix is only auxiliary ).
7.
In the special case where " C " is the 1-by-1 unit matrix, this identity reduces to the Sherman Morrison formula.
8.
Some sources call the all-ones matrix the "'unit matrix "', but that term may also refer to the identity matrix, a different matrix.
9.
Even though the Cartan subalgebra is only-dimensional } }, to simplify calculations, it is often convenient to introduce an auxiliary element, the unit matrix which commutes with everything else ( which is not an element of the Lie algebra ! ) for the purpose of computing weights & mdash; and that only.
10.
An important consequence of this study is that if we can find an affine transformation B such that \ mu _ R is a constant times the unit matrix, then we obtain a " fixed-point that is invariant to affine transformations " ( Lindeberg 1994 section 15.4; Lindeberg and Garding 1997 ).
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