(24) (25) We take as given that the number of stage computations required satisfies: (26) where a choice of value for C that minimizes this last expression for a given N and M is called an optimal first checkpoint, C M,N).
Therefore, a modification of this last expression is done as shown in Eq. 5.
For the pure Neumann QW without the field, this last expression takes an especially simple form: (46) This function has a pronounced maximum of at.
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The last expression is just a normalization on quality.
Notice the last expression above is a martingale since the expectation does not contain t.
Curiously, the last expression can be rewritten into a different form that leads to a familiar estimator: (25) (25).
end{aligned} (9 Since (left{ u_{i}(x),u_{j} y) right} _{i,j=1}^{n}) is as an orthonormal multi-wavelet basis, thus, last expression of (9) is equal to zero, so (parallel r parallel _{2}) is minimized.
The first expression represents the unconstrained Gaussian channel capacity, the second is an exponential approximation called (Effective Exponential SINR metric) and the last expression uses the mutual information at an SINR, when modulation alphabet size of is used.
