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To bound the TV distance, we may use another probability metric, the Hellinger distance [21].
Similarly, the TV distance will be low when M and K are small, respectively.
Accordingly, our CS-based cryptosystem will have low TV distance by (4) and (7) at low PNR.
To investigate the TV distance, we developed upper bounds on the relative entropy and the Hellinger distance, respectively.
We made similar observations of the TV distance when U 2=D and/or each plaintext has bipolar nonzero entries.
Then, we examined the indistinguishability of our CS-based cryptosystem by studying the TV distance as a security measure.
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Their reality is why they fascinate, of course, but the TV distances them and exaggerates them, protects them and flays them - and in so doing releases viewers from the rules that usually govern how they treat other human beings.
More extensive simulations agreed with the implication of Remark 1 that the CS-based cryptosystem will have lower TV distances with less PNR, M, and K.
Fig. 3 The upper and lower bounds of total variation distance over PNR. Figure 4 depicts the upper bounds on the success probability of an adversary in the indistinguishability experiment, where the best- and worst-case upper bounds of (2) are from the minimum and maximum achievable TV distances of (7), respectively, obtained by the Hellinger distance (6).
After that there were several reactions from the local Muslim community who went on TV to distance themselves from the terrorist attacks.
Centennial, based in Neptune, N.J., has been acquiring telecommunications assets to offer one source for TV, long-distance and wireless services in Caribbean nations.
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