Sentence examples for assumed that the operator from inspiring English sources

They also assumed that the operator φ : R → R is an increasing homeomorphism and a positive homomorphism, and φ ( 0 ) = 0.

It will be assumed that the operator A h x approximates the differential operator A x with any prescribed order [33, 34].

It will be assumed that the operator A h t, x approximates the differential operator A t, x with any prescribed order [57, 58].

As we assumed that the operator needed fewer direction changes of the camera with the wider field of view, it was predictable that the number of pauses and rotations decreased if the operator easily found the goal.

There, it is assumed that the operators are averse to unequal payoffs and act unselfishly, enabling a stable and sustainable community.

Regarding the common knowledge assumptions, it is assumed that the operators are synchronized for their spectrum sharing game so that they have a common definition of shared spectrum goods to easily compare their own payoff with that of the others.

Assume that the operator A satisfies the conditions of Theorem  1.2.

Conversely, assume that the operator is bounded, and condition (3.31) holds.

Assume that the operator given by (2.41) is the cone preserving, strict set contraction.

Moreover, one assumes that the operator F = P ⋅ T transforms Ω into itself.

Assume that the operator given by (2.41) is a cone preserving, strict set contraction.