Sentence examples for next spaces from inspiring English sources

where Y 1 = cl ( Im F ′ ( x ∗ ) ) (the closure of the image of the first derivative of F evaluated at x ∗ ) and the next spaces are defined as follows.

Assume that the space Y is decomposed into a direct sum Y=Y_{1}opluscdots oplus Y_{p}, (4) where (Y_{1}= operatorname{cl}( operatorname{Im} F'(x^{ast}))) (the closure of the image of the first derivative of F evaluated at (x^{ast})) and the next spaces are defined as follows.

The next spaces to the right should be left for the answer.

The next space, a classroom, was the exhibit's first well-lit area.

He also jokingly suggested that J.P.L. invite him aboard their next space flight.

It was their next space that most surprised many in the art world.

Badaró removed one so that he could shovel beans into the next space.

When the Marianne 1 and Johan 1 scene is over, the audience moves on to the next space.

Because of the instability caused by the bombing, we have helped created the next space for Isis after Syria.

Putting spikes in a sheltered doorway only shunts a homeless person down the street, to the next space.

Because of the instability in Yemen, we have already created the next space for Isis, for those displaced in Syria.