Sentence examples for iff 1 from inspiring English sources

Hence, ω ∈ K*N(A) iff (1) is the case for each m ≥ 1. Proof.

Possible world justification logic models use a forcing definition reminiscent of the one from the awareness models: for any given justification \(t\) the justification assertion \ tF\) holds at world \ \Gamma\) iff 1) \(F\) holds at all worlds \ \Delta\) accessible from \ \Gamma\) and 2) \(t\) is admissible evidence for \(F\) at \ \Gamma\), \ \Gamma\in{\cal E} t,F \).

Corollary 3.3 Let θ = { ( k r, l s ) } be a double lacunary sequence, then S 2 ( X ) = S θ 2 ( X ) iff 1 < lim inf r q r ≤ lim sup r q r < ∞. and 1 < lim inf s q s ≤ lim sup s q s < ∞.

A function (phi(t)) defined on (mathbb{R}) belongs to the space (mathcal{D}_{L^{p}}), (1 < p < infty), iff (1) (phi(t)inmathcal{C}^{infty});   (2) (phi^{ k)}(t)in L^{p}) for all (kinmathbb{N}), where (mathbb {N}) is the set of nonnegative integers.  .

If G = I, T, R, S, W is a WCFG, is said to be in reweighting normal form (RNF) iff 1. is loop-free and ϵ-free.

In this domain a DM with CR-preferences weakly prefers LEFT to RIGHT in row r∈{1,…, 2 t+1} iff (1 −σ)[ e+(r−t−1) s] +σ(e+g) ≥e.

y increases in price of its output and decreases in price of its inputs iff: 1- alpha+beta+gamma+delta)>0qquadqquadqquad alpha+beta+gamma+delta<1- alpha+beta+gamma+delta

(5) is true iff (6) is true.

A central result in the theory of interpretability is that (granting our simplifying assumptions) T1≤ T2 iff T1 ⊆ Π01 T2.

Then both of inequalities (1.5) and (2.17) hold, and the equation in (1.5) holds iff the one in (2.17) holds iff (3.6) holds iff (3.7) holds.

(1993) [16], if all the wires are unidirectional (directed from S to R), then PSMT tolerating Astatict is possible iff n>3t, where as if all the wires are bi-directional then PSMT tolerating Astatict is possible iff n>2t.