The proper time τ along a world line moving with a speed less than light is not an independent quantity from t and x: it satisfies For a particle moving with exactly the speed of light, one cannot define a proper time τ.
A functionuonΩ subject to certain measurability conditions, much weaker for example than upper semicontinuity) is calledquasi-subharmonicif it satisfies for eachx∈Ωand each Jensen measureμforx.
In the non-cooperative games in strategic form G ( i ), with i ∈ {a, b}, an action profile p ∈ P ( i ) is a pure NE if it satisfies, for all k ∈ K and for all p k ′ ∈ P k ( i ), that u k ( p k, p − k ) ⩾ u k ( p k ′, p − k ).
It satisfies for a moment but soon after consumption you're left with that feeling in your gut, guilt with a hint of regret.
The chief financial officer of the UAL Corporation, Kathryn Mikells, said the parent of United Airlines was braced for weaker demand as the economy slumped and that it was satisfied for now with its own capacity cuts.
and for it is satisfied for any real.
It is satisfied for all dopings in (La,Sr 2CuO4 and also in optimally doped Hg(Ba 2CuO5, which was measured recently, but seems to be strongly violated in measurements on single crystals of Tl2Ba2CuO6.
The assumptions for the inequalities (9) and (10) are weak, since we just assume that it is satisfied for ⪯-mixed comparable elements.
The assumption for inequalities (9) and (10) is weak since we just assume that it is satisfied for ⪯-mixed comparable elements.
Remark 5.2 The assumption for the inequalities (72) is really weak, since we just assume that it is satisfied for ≼ I ( m ) -comparable elements.
