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In October, 1971, soon after the study's completion and before a single methodologically and analytically rigorous result had been published Zimbardo was asked to testify before Congress about prison reform.
In October, 1971, soon after the study's completion — and before a single methodologically and analytically rigorous result had been published — Zimbardo was asked to testify before Congress about prison reform.
To the best of our knowledge, presently, there is no rigorous result on the attraction-repulsion chemotaxis model with nonlinear diffusion.
As well, due to time considerations, we re-explored only RM while a more rigorous result would require the re-exploration of FM as well.
Even though, in the present model, we have introduced an attractive intra-molecular phonon term in an ad hoc way, we, therefore, do not claim to possess a rigorous result for the coupling strength parameters.
Later in 1999, Paullet[2] provided a rigorous result concerning the existence, uniqueness and qualitative properties of the solutions of Equations 1 and 2 for any α > 0 and H2 ≠ 0. Paullet's solution[2] for α << 1 matches with that of Mckee et al.[1], but there was a difference between the solutions of Paullet and Mckee for α >> 1.
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We will then present some rigorous results and perspectives.
Affleck, I., Kennedy, T., Lieb, E. H. & Tasaki, H. Rigorous results on valence-bond ground states in antiferromagnets.
Shil'nikov, L.P. "Chua's circuit: rigorous results and future problems," IEEE Transactions on Circuits & Systems I-Fundamental Theory & Applications, vol.40, no.10, pp.784-786.
Interval analysis is specially powerful in bounding the ranges of functions while providing mathematically rigorous results.
However, this new model provides rigorous results over a full and extended range of disturbances and exchanger configurations.
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