Sentence examples for i commuting from inspiring English sources

The pair ( f, T ) is called (i) commuting if T f x = f T x for all x ∈ X, (ii) weakly compatible if the pair ( f, T ) commutes at their coincidence points, that is, f T x = T f x whenever x ∈ C ( f, T ), (iii) IT-commuting [11] at x ∈ X if f T x ⊆ T f x.

The pair (f,S) is called (i) commuting if f S x=S f x,∀x∈X,   (ii) weakly compatible if the pair (f,S) commutes at their coincidence points, that is, f S x=S f x whenever f x∈S x for x∈X,   (iii) IS-commuting at x∈X if f S x⊆S f x.  .

The pair (f, g) is said to be (i) commuting if fgx = gfx for all x ∈ X;   (ii) weakly commuting [14] if d fgx, gfx) ≤ d(fx, gx) for all x ∈ X;   (iii) compatible [15] if limn→∞d fgx n, gfx n ) = 0 whenever {x n } is a sequence in X such that  .

||Tx - Ty|| ≤ ||fx - fy||] for all x, y ∈ M. The pair (f, T) is called: (i): commuting if Tfx = fTx for all x ∈ M; (ii): R-weakly commuting[8] if for all x ∈ M, there exists R > 0 such that ∥ f T x - T f x ∥ ≤ R ∥ f x - T x ∥.

So I commuted back and forth to Phoenix every week.

A California friend and I commuted to visit each other for more than a year.

The absence from her husband -- "Paul commuted up some, I commuted down some" -- strengthened the marriage.

I have lived in London and in Paris and I commuted for years between Chicago and Berlin.

This time I commuted back and forth, which was easier because my son was then out of college.

I commuted to Asia part of the month visiting one of our other offices there, but that got old fast.

Peter and I commuted to Malta several times together on turbulent flights.