Sentence examples for fulfills 1 from inspiring English sources

We define a solution of problem (1) to be a function x ∈ C ( I ) such that x | I 0 ∈ A C ( I 0 ) (i.e., x | I 0 is absolutely continuous on I0) and x fulfills (1).

By the abstract Hodge theory, there is a self-adjoint operator G N − 1 ∈ L ( L N − 1 ) Open image in new window which maps into the orthogonal complement of kerΔN−1and fulfills 1 L N − 1 = H N − 1 + Δ N − 1 G N − 1 Open image in new window.

We seek the magnetic vector potential A that fulfills (1 - 2).

Hence and fulfills (1.1) a.e.

We conclude that fulfills (1.5).

We suppose that K fulfills (2.16).

By the Dini condition we mean that fulfills (1.6).

The corresponding NE strategy is, which fulfills (23b) with equality.

(mathbf {j}^{i}) is chosen such that (mathbf {A}^{0}) fulfills (3 -(4) with (varepsilon = 0).

Using Proposition 9, we can conclude that this power allocation also fulfills (23a).

The multi-PHAT fulfills (9)–(11) and is written using (13) (15).