Sentence examples for for every e from inspiring English sources

The neighbourhood system N τ ∼ ( e F ) is a soft filter for every e F ∈ ∼ X ∼.

Finally, b is epistemically entailed by a in M = ⟨E, ρ, s, *⟩ iff for every E in E such that a ∈ s(E), b ∈ s(E).

For every (E inmathcal{E} ), (F_{s}(E)) has at least one minimum essential set with respect to (rho_{s}^{u}).

For every e λ j x ∈ F +, S a n e λ j x = exp ( ∫ x − a x h ( s ) d s ) e λ j t − n a λ j.

Then f : X → E is measurable if and only if for every e ∈ E ′ the function e ∘ f : X → R is measurable with respect to Σ and the Borel σ-algebra in ℝ.

In particular, every Dedekind σ-complete space (that is such that any non-empty at most countable subset which is bounded from above has a supremum) is an Archimedean e-uniformly complete space for every e ≥ 0 (see [[39], pp.125, 252, 253]).

For any edge e∈ E it is easy to show that: (3) ∑ u ∈ S (e ) TC e (u ) = ∑ u ∈ S (e ) TC (u ) - TC (e ) Therefore, according to (3) we can compute the sum ∑ u ∈ S (e ) TC e (u ) for all edges e∈ E in linear time in total, given that we have already computed TC e) for every e∈ E, and TC u) for every u∈ S. Next we continue our description for computing QD e) using a divide-and-conquer approach.

We can compute this quantity for every e∈ E in linear time as follows; in the first scan we compute for every edge e the number of leaves s e) in T (e ).

Our basic program has the following sets of binary variables: (i) A variable d e  for every edge e ∈  E, where d e  = 1 iff e is deleted.

For every e∈ E(S), an edge f of an input tree T is in Ψ e) if and only if e is an agreement edge of S corresponding to edge f of T. Observe that Ψ is uniquely defined.

This quantity can be evaluated in O(n) time for every e∈ E with a bottom-up scan of the tree.