Sentence examples for given the decomposition of from inspiring English sources

The camera rests on the face of Rosario's father when another official tells him that, given the decomposition of the body, "there will not be any viewing".

Furthermore, given the decomposition of the observable, ([U_{g}, P_{m}] = 0, forall g,m).

Let, then is Dunkl harmonic of degree, so that Theorem 1.2 gives the decomposition of as in (4.4).

Additional file 6: Table S6 gives the decomposition of the forecast error variance of the variables in the industrial output model.

Our main mathematical result is to give the decomposition formula of an (mathbb {F} -martingale as a semimartingale in (mathbb {G}), which gives a positive answer to the Jacod's (H')-hypothesis.

The source term is given through the decomposition of an incident acoustic field on a section of the computational domain's boundary.

In the most compact notation, the inhomogeneous integral equation can be written as (16) F → (P 2 ) = F → 0 (P 2 ) + K (P 2 ) ⋅ F → (P 2 ) where the matrix K (P 2 ) is identical to the one in Eq. (14), and the vector F → 0 is given by the decomposition of Γ 0 according to Eq. (7), Γ 0 = ∑ i T i F 0 i together with the discretization of a possible momentum dependence.

Given the recursive decomposition of Equation 10, the complexity of the cost calculations decreases to O ( T k N ).

However, given the spectral decomposition of each G j) it is easy to solve numerically.

The wavelet decomposition is applied to each color component R, G, and B. The wavelet decomposition gives us the decomposition of the signal into different frequency bands.

We give the irreducible decomposition of the tensor product Hν1⊗Hν2 of the representations for any two unitary weights ν and we find the highest weight vectors of the irreducible components.