But Issa took issue with Cummings, denying that he had implied the orders came from the highest office in the land and insisting that he only said the targeting came from Washington.
In view of the fact that the hr order implies the mrl order (cf. [22]), one may wonder whether the relative hazard rate order implies the relative mean residual life order.
Since the total ordering implies the partial ordering, we conclude that { x n } n = 1 + ∞ converges to a fixed point.
Therefore, the total ion intensities of the PAH intermediates in the flames were observed to increase in the order of: benzene < toluene and styrene < four C8H10, which <span class="lh">implies the same order of the sooting tendency.
In [10], it was investigated that ⪯ T implies the natural order but its converse needs not be true.
which implies the first-order difference inequality (2.9).
Moreover, ∑ i = 1 N U i ( x i, k ) has a continuous first partial derivation, which implies the first-order Kuhn-Tucker conditions are necessary and sufficient for optimality[13].
When the tree of SidC C domains is rooted at position c (Fig. 6Bii), and evaluated with the PDH algorithm [ 35], the resulting tree is a duplication tree which implies the partially ordered duplication history shown in Fig. 6Bii.
Corollary 2 Let ( L, ≤, 0, 1 ) be a bounded lattice and T 1 and T 2 be two t-norms on L. If T 1 is T 2 -distributive, then the T 1 -partial order implies the T 2 -partial order.
Remark 4 For any t-norms T 1 and T 2, if T 1 is T 2 -distributive, then we show that T 1 is weaker than T 2 in Proposition 1 and the T 1 -partial order implies the T 2 -partial order in Proposition 2. Although T 1 is weaker than T 2, that does not require the T 1 -partial order to imply the T 2 -partial order.
