Sentence examples for in iff from inspiring English sources

But throw this point at the town council's prime movers and the answers that come back voice two contrasting arguments: a belief in IfF's democratic ideals, and critique of the arrogant kind of rule perpetrated by a system in which whatever the opposition says, if one party has the numbers, it can freely impose its will on everybody else.

L (a ) = in iff for each b with (b, a ) ∈ R, L (b ) = out.

Definition 4 Given an AF F = (A, R ), a function L : A → { in, out, undec } is a complete labeling iff the following conditions hold: L (a ) = in iff for each b with (b, a ) ∈ R, L (b ) = out.

Given an AF F = (A, R ), a function L : A → { in, out, undec } is a complete labeling iff the following conditions hold: L (a ) = in iff for each b with (b, a ) ∈ R, L (b ) = out.

Given a coloring C for node t, we define the extensions of C, e t (C ), as the collection of X > t -restricted admissible sets S for F ≥ t that satisfy the following conditions for each a ∈ X t : C (a ) = in iff a ∈ S C (a ) = out iff S ↣ R a C (a ) = att iff S ↣̸ R a and a ↣ R S C (a ) = ud iff S ↣̸ R a and a ↣̸ R S If e t (C ) ≠ ∅, C is called a valid coloring for t.

The definition of pivot is formalized in the following formula: x_{i} in P iff x_{i} in R wedge t - t_{x_{i}} < alpha (4).

To see what happens on the level of homotopy categories, it is convenient to change the Reedy structure on the matching expansion M(I), by replacing (7.14) with (deg (i) = 2deg (rho (i))^2 + deg (pi (i))), and redefining classes L and M by saying that (f in M) iff (rho (f) in M), and (f in L) iff (rho (f) in L) and f is cartesian with respect to (rho ).

Definition 2.1 A continuously differentiable function f on an open region Ω of R 2 n with values in C 2 n is called a (left) h-monogenic function in Ω, iff it satisfies in Ω the system ∂ X ̲ f = 0 = ∂ X ̲ | f. or, equivalently, the system ∂ Z ̲ f = 0 = ∂ Z ̲ † f.

In order to provide a generic treatment of necessity, we must say that □A is true in w iff A is true in all worlds that are related to w in the right way.

For, ~φ is true in M iff ¬ is true in M. Instead of ~, the operator ¬~ may then be considered.

Fagin began this field by proving that NP = SO\(\exists\), i.e., a property is in NP iff it is expressible in second-order existential logic [Fagin, 1974].