Exact(42)
But see "Part 1: Terms, Concepts and Definitions" of Heidenheimer and Johnston (2002).
The leading-order O k-1) terms yield the same cO k-1ion as (60), buterms O(1) terms give the following: F = kc û z ( 1 ).
The second largest O(1) terms lead to the dispersion relation of the Rayleigh wave.
The parameter τ controls the balance between the two ℓ 1 terms in (19).
Bias, usually 1, is added to the sum thus n + 1 terms.
In practice, only the first ( N + 1 ) terms of shifted Jacobi polynomials are considered.
Similar(17)
It is evident that ∑ i = 0 2 m − 2 α ir contains 2 m −1 terms.
Such signal model allows unique blind source separation in rank- (L r,L r,1) terms.
Figure 2 visualises the decomposition of a tensor in rank- (L r,L r,1) terms.
It is clear that the tensor decomposition can only be unique up to a permutation of the rank-1 terms and scaling of the factors of the rank-1 terms.
Intuitively, the f+1 terms in the sum correspond to the f+1 intrusions that would lead to a failure.
Write better and faster with AI suggestions while staying true to your unique style.
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