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Human judgment often involves a strategy of "attribute substitution" in which a difficult judgment is simplified by substituting a dimension that is correlated with the target attribute but easier to assess [45].
This equations can be simplified by substituting the rights-hand side of the equations into the left-hand side to obtain: x^{ k)} = A^{T}A x^{ k-1)} (12).
That said, the high frequency activities contribution was only detectable when regression models were simplified by substituting the difference between gamma and beta activities for changes in these bands considered separately.
This formula can be simplified by substituting N g, the effective number of genes per locus in a population, for N e, giving a final equation of πsilent = 2 N g μ, where N g is equal to N e for nuclear genes of haploid species and about one-half N e for uniparentally-transmitted organelle genes [ 5].
R can be further simplified by substituting (49) into (47): boldsymbol{R}=cos theta hbox {boldsymbol{E}}_2sin theta (50).
Similar(54)
The detector of the joint acquisition is simplified further by substituting (19) into (10) T ′ ( x ; τ, f d ) ≈ ( N − 2 M ) · 2 N x T H H T x x T x − 2 N x T H H T x = ( N − 2 M ) · I M ( τ, f d ) x T x − I M ( τ, f d ) (20).
The organization's plan also simplifies monitoring by substituting easy-to-use tests like body weight and color-scale blood exams for the more complicated and expensive tests to measure the amount of CD-4 immune cells and H.I.V. in the blood used in rich countries.
For ideal scenario where we have no transmission errors, it is possible to simplify (14) by substituting.
Context reduction simplifies constraints by substituting constraints or removing resolved constraints according to available instance definitions, besides removing duplicate constraints or substituting constraints according to the class hierarchy.
In most cases, we can simplify eq 12 further by substituting all ungerade intermediate states by the final state, giving which shows that the 5PA absorption cross section can be expected to be proportional to the OPA transition moment scaled by the excited-state polarizability squared.
We can simplify the procedure of the message exchanging by substituting π y(t),b(t)(y(t)) and λ b(t),y(t)(y(t)) with S π,t and S λ,t, respectively, as shown in Fig. 9.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com