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The value of 1 indicates that there exists a linear combination of parameters in θ A and θ B having an identical impact, whereas 0 indicates existence of an orthogonal parameter combination.
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An intriguing finding is that the hexagonal and triangular modes have the same energy in the buckled state and, moreover, a continuous transition between these modes exists involving a linear combination of the two modes with no change in energy.
Any molecular graph invariant can be uniquely represented as a linear combination of fragment descriptors.
For any k-objective problem and any given weight vector of size k, there exists a single-objective projected problem obtained by performing a linear combination of all weighted objectives.
Typically, the binary matrix Φ has m = O k logn) rows, and there exist fast algorithms for finding the solution x from the m measurements (typically a linear combination).
And so that's what I've indicated here, that if we now put into the system a linear combination of those inputs, then for linearity, we require that the output is the same linear combination.
Overall this exploration points towards a linear combination rule that may be at play.
Linear tests are constructed by combining the individual SNP effects in a linear combination with certain weights [ 2, 4, 18].
Generally, if variables are integrated of order "d" and produce a linear combination, integrated of an order less than d (say "b"), they are cointegrated, and a long-run relationship exists in the model.
Other variants like c- optimality (optimize estimation of a linear combination of parameters) or a- optimality (optimize the sum of individual variances of parameter estimates) exist, but these are less common and will not be covered here.
And this is just a linear combination over a basis.
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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