Sentence examples for intersection composition from inspiring English sources

C 2 : Intersection composition.

Programming consists in applying operators (intersection, composition, etc).

If there exist a, b ∈ X ∗ such that w = f ¯ a = b g ¯ with | w | < | f ¯ | + | g ¯ | then the intersection composition is defined as ( f, g ) w = f a - b g.

([123, 127]) (a) If there exist a, b ∈ X ∗ such that w = f ¯ a = b g ¯ with | w | < | f ¯ | + | g ¯ | then the intersection composition is defined as ( f, g ) w = f a - b g.

We then have two compositions as follows: If w is a word such that w = f ¯ b = a g ¯ for some a, b ∈ X ∗ with | f ¯ | + | g ¯ | > | w |, then the polynomial ( f, g ) w = f b − a g is called the intersection composition of f and g with respect to w.

If w is a word such that w = f ¯ b = a g ¯ for some a, b ∈ X ∗ with | f ¯ | + | g ¯ | > | w | then the polynomial ( f, g ) w = f b - a g is called the intersection composition of f and g with respect to w.

Both inclusion and intersection compositions are possible.

All possible compositions in S 1 are the intersection compositions of (2) and ( 3 ′ ), and the inclusion compositions of ( 3 ′ ) and ( 3 ′ ).

Experimental results revealed that good glass formers with 4 mm in diameter occurred at Co62.2B26.9Si6.9Ta4, obtained by Ta alloying of the base intersection compositions of Co7B3 Si with Co9Si B.

If ⟨ f, g ⟩ w and ( f, g ) w are intersection compositions, where w = f ¯ b = a g ¯, then (XIII) and (XVII) yield ⟨ f, g ⟩ w = [ f b ] f ¯ - [ a g ] g ¯ = f b + ∑ I 1 α i a i f b i - a g - ∑ I 2 β j a j g b j, where a i f ¯ b i, a j g ¯ b j < f ¯ b = a g ¯ = w.

In this paper, we investigate the properties of some tree convex constraints under intersection and composition.