Sentence examples for has a decomposition from inspiring English sources

If u.dim((R_R) = n), then (R) has a decomposition into (n) uniform modules.

The functionalized polymer has a decomposition temperature of about 400 °C and exhibits good thermal stability.

In contrast to silica sand, olivine has a decomposition effect on the higher hydrocarbons.

We prove that any complex Dunkl polyharmonic function has a decomposition of the form, for all, where are complex Dunkl harmonic functions, that is,.

Conversely, assume that f = ( f n ) n ≥ 0 has a decomposition of the form (1). Let M = sup k ∈ Z 2 k F ˜ − 1 ( P ( τ k < ∞ ) ).

For the converse parts of the proof of Theorem 2.2 assume that f = ( f n ) n ≥ 0 has a decomposition of the form (1) and let λ n = ∑ k ∈ Z χ { τ k ≤ n } ∥ S ( a k ) ∥ ∞.

Let X be a Banach space and have a decomposition: X = Y + Z where Y and Z are two subspaces of X with dim Y < + ∞.

Continuing this operation, finally we have a decomposition begin{array}{*{20}l} (mathbb{Z}/Nmathbb{Z})^{n}&=B^{-1}left((mathbb{Z}/Nmathbb{Z} times{0}^{n-1}right)opluscdotsoplus B^{-1}left({0}^{n-1}right. &left.quadtimes (mathbb{Z}/Nmathbb{Z}){vphantom{{0}^{n-1}}}right) end{array}.

Moreover, let (P = {text {Cone}}(beta [-1]) cong k oplus I[-1]), so that we have a decomposition Open image in new window (11.5 of the form (2.3) of the diagonal map (k rightarrow k oplus k).

Having a decomposition of the set of transitions into ADT sets inducing connected subnets, we are able to coarsen automatically a given net according to the minimal T-invariants' inherent structure: macro transitions abstract from connected ADT sets, and places on the hierarchy's top level correspond to the interface between the ADT sets.

Notice that has a unique decomposition (2.46).