Sentence examples for becomes equivalent with from inspiring English sources

Exact(1)

According to Definition 3, we recall that Eq. (1) is nonlinearly self-adjoint if its adjoint equation (8) becomes equivalent with Eq. (1) after the following substitution: v=phi x,t,u).

Similar(59)

Through analysis of self-adjointness, the adjoint equation (8) has become equivalent with Eq. (1).

When ω is 1, the transformed P-values follow a χ-distribution, and the GM becomes equivalent to FM with a STT value of 1/e.

When the constraints between static and dynamic features expressed in Equations (2) and (3) are added to the optimization problem, maximizing P(O | q*, λ) with respect to O (Equation (10)) becomes equivalent to maximizing it with respect to C: C * = arg max C P ( W C | q *, λ ), (11).

If we specify the exact population size in the next generation (fixing the value of w ¯ ), and fix the value of δ for each individual, then Equation 2 becomes equivalent to the Price equation with fitness simply replaced by expected fitness, w ^ [ 24].

It should be easily seen from Equations 13 or 14 that in the limit of a large resolution parameter, α→∞, an NDL becomes equivalent to the respective linear filter with τ=τ 0=const.

Therefore the cisplatin-mediated apoptosis becomes equivalent in the two cell lines with the inhibition or Src or JNK.

In this case, the pure-correlation model becomes equivalent to the selective decoding model with zero weight placed on opposite cells, as considered below.

Hence, for each selected path P, the transmission becomes equivalent to a transmission over a single link with an equivalent SNR.

The PL intensity increases with increasing annealing temperature, and eventually becomes equivalent to that of the 580°C-capped sample.

With minor enhancements of the graph, this becomes equivalent to finding a shortest Hamiltonian cycle.

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