If Alice measured her qubit in the standard basis the outcome would be perfectly random, either possibility having probability 1 / 2.
22.
Chief Justice Brian Dickson noted that court decisions had for decades taken Quebec's " character " into consideration on a standard basis.
23.
If a set of non-orthogonal standard basis functions was used, it becomes necessary to recalculate the constant coefficients of the function describing the fit.
24.
In 1861 the US government suspended payment in gold and silver, effectively ending the attempts to form a silver standard basis for the dollar.
25.
The reason for using a standard orthogonal basis rather than a standard basis arises from the creation of the least squares fitting done next.
26.
For of finite dimension, and and taken from a standard basis, this is actually the function given by the matrix entry in a fixed place.
27.
In physics, the standard basis vectors for a given Euclidean space are sometimes referred to as the versors of the axes of the corresponding Cartesian coordinate system.
28.
In economics and decision theory he is best known for a 1963 paper with Robert Aumann which provides the standard basis for the theory of subjective probability.
29.
The group of invertible lower triangular matrices is such a subgroup, since it is the stabilizer of the standard flag associated to the standard basis in reverse order.
30.
Therefore, when we apply the operator 0to each of the standard basis, we obtain following, and thus, the matrix representation of as shown in ( & 1 ).
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