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According to the formulas of Lemma 2.1, the singular values of the origin of system (2.9) are obtained by computing carefully.
According to the method in the article [11, 12], to compute the Liyapunov constants (or focal values) of the origin of system (2.8), we obtain the Lyapunov constants (or focal values) of the origin of (2.8) (namely the focal values of the equilibrium ( 1, 0 ) of model (1.2)) as follows.
Theorem 2.7 The first singular values of the origin of system (2.9) vanish if and only if B 21 = 0. Obviously, Theorem 2.7 gives the necessary condition that the origin of system (2.6) or (2.8) becomes a center.
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Update the value of the ORIGIN keyword to "CXC" and the EXPOSURE value to 1.0, then overwrite the original file.
As in Definition 3.2, μ k is called the kth singular point value of the origin of system (2.4).
For an integer k, letting ν2k -2π, γ) be the k-order focal value of the origin of system (2.7)δ = 0. Theorem 2.1.
Evidently, if system (2.1) is a real system, v 2 k + 1 ( 2 π ) ( k = 1, 2, … ) is the k th focal value of the origin.
Without loss of generality, we fix the true value of the origin time to be 0. The sum of the residual squares R2 is calculated as: (16 where x refers to the estimated origin time.
For very large ratios, (tau=tau_{theta}/tau _{w}), solutions become unbounded and intermediate values of τ, the origin becomes an attractor even though it is unstable.
Second, the value of learning the origin increases as food safety benefits of local products are communicated, i.e. as the utility gain of making the "right" choice increases, so does the value of information that ensures this choice.
The value of choosing the Origin as a roadmap is that Jones could stick to Darwin's story but at the same time begin to discuss in the light of 20th century scholarship all those things Darwin could not have known, or felt troubled by.
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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