Given enough time and storage space, every computer can perform exactly the same computations as every other computer.
Then considering again the same application G, given by (35), and following the same computations, we obtain that ∥ G ( m ) ∥ ≤ exp ( l 2 | 1 − I b | ) ( ∥ q 01 ∥ + 1 2 J ∥ α ∥ { ( ∥ σ 0 ∥ + 1 ) ( β + 1 ) } ).
However, the same computations can be realized by replacing the channel matrices with the UL pilot responses as well, since the right singular vectors (3), forming the transmit signal space, and the corresponding singular values are invariant to the multiplication by the unitary pilot precoder matrix.
Map operates on a list of values in order to produce a new list of values, by applying the same computation to each value.
Reduce operates on a list of values to collapse or combine those values into a single value (or more generally some number of values), again by applying the same computation to each value.
By repeating the same computation for each voxel, a parametric map can be formed to represent the heterogeneity distribution.
Each of these calculations on haplotype data have the same computational complexity as the same computation on genotype data.
The proposed TDE method also shows better BER performance than the conventional MMSE-FDE method even when the banded matrix is approximated by Q 1=15 which corresponds to the same computation complexity as the proposed TDE method.
For simplicity, the resting potential is supposed to be zero, but a non zero value would simply shift the kernel, and shifting the threshold by the same value would lead to the same computation.
In each molecule, qubits were represented by different types of atoms, and all the molecules in the cup would perform the same computation at the same time.
