Moreover, since e commutes with arbitrary sums, the full subcategory in ({text {Ho}}(mathsf{Ind},mathcal {C}_0)) spanned by objects (E') with ({text {Hom}}(E',widetilde{E})) is closed under sums, and then by Lemma 12.7, it coincides with the whole ({text {Ho}}(mathsf{Ind},mathcal {C}_0)).
We consider the detection performance of the waveform under the sum power constraint and maximum individual power constraint.
However, in the cooperative case, power allocation can be clearly performed under either sum power constraint or individual power constraint for each user.
Several power optimization strategies were proposed to maximize the system throughput under a sum power constraint; a subchannel pairing scheme was further proposed to improve the system throughput.
As shown in Figure 1, the transmit power fluctuates as much as 4 W in the transmit antenna under the sum power constraint.
(2) Treating these effective channels as parallel, noninterfering channels, the new covariances S ~ i ( n ) i = 1 K are generated by the GWWFA under the sum power constraint P t.
With a linear minimum mean square error (MMSE) receiver, also known as a Wiener filter, the optimum precoding matrix under the sum power constraint can be generally expressed as [15].
The expression in the second bracket under the sum reflects the effect of the S loci, which decreases fitness by at most s i depending on the frequency of viruses p V and the probability of infection.
Subtraction falls under the "Sum" category, because adding a negative number is the same as subtracting a positive number.
We present two methods for dynamically updating Minkowski sums under scaling, the first of which updates the sum under uniform scaling of arbitrary polygons and polyhedra, and the second of which updates the sum under non-uniform scaling of convex polyhedra.
