Sentence examples for relation imposed from inspiring English sources

It is important to note at the outset that in general, if F is a subgraph of E, then L K ( F ) need not correspond to a subalgebra of L K ( E ), because the (CK2) relation imposed at a vertex v in L K ( F ) need not be the same as the relation imposed at v in L K ( E ).

Then in a purely ring-theoretic context, the symbol ∑ e ∈ s - 1 ( v ) e e ∗, which would be the natural generalization of the (CK2) relation imposed at v, is not defined.

The expected middle-ground construction may be formalized: if X is any subset of the regular vertices Reg ( E ) of E, then the Cohn path K -algebra relative to X, denoted C K X ( E ), is the algebra C K ( E ), modulo the (CK2) relation imposed only at the vertices v ∈ X.

This relation imposes a condition between β, kz 1 and kz 2. However, according to Equations 29 and 34, these quantities are functions of ε, ε1, ε2, ε3 and k y.

The novel portrayed the decline of an aristocratic family, taken aback by the transformations in power relations imposed by the newly unified state of Italy.

In most representations, the behavior of the crack and the fracture process zone is idealized within the geometric relations imposed by geometry and loading (Hillerborg et al. 1976; ACI 544.8R 2016).

This method is fit to the particular algebraic structure of the power flow problem resulting from the combination of a globally linear set of equations and nonlinear local relations imposed by power conversion devices, such as loads and generators.

The local, national and international relations impose into these social systems different force fields determining the space of possibilities in which they evolve.

Moreover, partition of passenger sources was found to impact a lot in departure, while social relation structure imposed a great influence in arrival.

US-Cuba relations have remained frozen since the early 1960s, when the US broke off diplomatic relations and imposed a trade embargo after Cuba's revolution.

US-Cuba relations have remained frozen since the early 1960s, when the US broke off diplomatic relations and imposed a trade embargo after Cuba's revolution led to communism.