Sentence examples for defined on the same from inspiring English sources

Among the stationary configurations of the Hamiltonian of a classical O(n) lattice spin model, a class can be identified which is in one-to-one correspondence with all the configurations of an Ising model defined on the same lattice and with the same interactions.

However, this question cannot even be formulated mathematically unless infinitely many Xs can be defined on the same sample space, which in turn requires that the underlying experiment involve an actual infinity of coin tosses.

All random variables are defined on the same probability space.

Tabor and Tabor [17] investigated (1.3) defined on the same domain.

Assume that both template T and reference R images are defined on the same domain Ω.

We next present a minimax inequality theorem that φ is defined on the same set.

The DP is defined by the two parameter: base measure G0 and concentration parameter γ ≥ 0. The G0 is a distribution function defined on the support same as G.

Large and small targets were defined on the bases of the same stimulus property (orientation of the grating).

Throughout the album, Alvin moves with ease across the entire spectrum of American music, which he once defined, on the Blasters' anthem of the same name, as "the Louisiana boogie and the Delta blues... country, swing, and rockabilly, too... jazz, country-western, and Chicago blues".

The approach can be extended to solve a more general class of Hamilton Jacobi equations defined on the implicit surface, following the same idea of approximating their solutions by the solutions in the embedding Euclidean space.

In the case of PE-EPI images, RoIs were defined on the cortical region for the same area and slice position as in the case of DW-EPI images.