This implies that the pair of complex conjugate eigenvalues associated with the Hopf bifurcation is λ1 and λ2 with λ 1 = λ ̄ 2 = i ω, where ω = O and so the Hopf bifurcation vanishes in the singular limit.
In this work, the pairs of complexes were selected from the third, Quaternary Structures (QS), level.
In the following two subsections, we calculate the rotational alignment errors for the pairs of complexes, both for the crowded as well as uncrowded cases.
The number of the pairs of complex conjugate natural frequencies equals the number of the natural modes of the corresponding dry structure and is independent of the continuous fluid domain, which has infinite degrees of freedom.
The terms of the form (y^{2}+mu_{k}y+nu _{k}^{2}) correspond to the pairs of complex roots of the polynomial.
Circular dichroism: To gain further understanding of the enantiomeric relationships between these pairs of complexes, CD spectra were recorded.
and for the unique pair of complex eigenvalues near the imaginary axis α ± iω, the transversality condition α'(λ 0) ≠ 0 holds.
If α(λ i ) ± iω(λ i )be the unique pair of complex eigenvalues near the imaginary axis, then α'(λ i ) < 0. Theorem 2.5.
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The other half of the pairs consisted of "complex" contours: ¼ of the pairs had a prime made up of an ascending interval plus a descending interval, followed by a target with a descending plus an ascending interval, and vice-versa for the last ¼ of the pairs.
The b-c2 complex transfers the pair of electrons to cytochrome c, a small protein situated on the outer surface of the cristae membrane.
