Sentence examples similar to the u.s. condition from inspiring English sources

Assume that conditions (1), (2) are satisfied, the operator U s satisfies condition (13).

}tin [0,c] bigr}, where (1< p<infty ), and <span class="lh">the multivalued map U satisfies the condition (HU).

The u - v coefficients satisfy the condition |u β |2 + |v β |2 = 0.

For the purpose of parameter estimation, the controls u and the initial condition x0 are regarded as being defined by experimental design.

Once dissolved, aU may either be lost to seawater or diffuse deeper into the sediment where anoxic conditions persist and the U can be re-precipitated.

The second equation will be (- epsilon u" + u'=f ) with the Dirichlet boundary conditions (u(0) = u(1) = 0) and with small positive parameter ϵ.

Assuming that the inputs u(t), the initial conditions x0, and the measurement times t i are given, the different notions of identifiability can be defined as follows.

Generalising for any positive combination of c and u, the stability conditions for the three fixed points are as follows.

The third equation will be (- epsilon u" + u' + x^{2} u = f ) with the Dirichlet boundary conditions (u(0) = u(1) = 0) and with small positive parameter ϵ.

Hence f u satisfies the condition (3).

When κ = 0, if u satisfies the condition Im u 2 ( 0, 0 ) = a (28).