The numerical conservation is rigorously guaranteed.
Deterministic methods, which are the only ones that can rigorously guarantee global optimality, rely on the use of convex envelopes or underestimators to formulate lower-bounding convex problems that are typically combined with spatial branch and bound strategies.
Although the control on the number of false positives is not rigorously guaranteed in such exploratory analyses, additional supportive evidence came from analyses showing that higher (greater than median) expression of EGFR, PSPH and RAPGEF5 was significantly associated with longer PFS on erlotinib therapy (P = 0.011, P = 0.0017 and P = 0.0058, respectively; Figure 2).
Consequently, the sampling and analysis methodology needs to be tailored to the specific needs of the program and rigorously controlled to guarantee reliable results (Sarigiannis and Saisana, 2008).
The data is rigorously anonymized — it says it has created "robust technological, security and legal frameworks for managing contributed data, guaranteeing the confidentiality of individual contributors' estimates and allowing it to act as a trusted intermediary" — and has managed to sign up a dozen global banks in the U.S., U.K. and Continental Europe committed to supplying data thus far.
On the methodological side, it was a rigorously designed and conducted randomized trial, which guarantees for reliability of results.
It is rigorously proven that the designed adaptive controllers can guarantee global stability of the closed-loop system.
The achieved acceleration-magnitude constraints are rigorously enforced, and the chattering-free property is guaranteed by adaptive switching gains.
Mathematical analysis of this simple discrete model rigorously proves that long-term tissue homeostasis is guaranteed by a negative feedback control of cell density on SC proliferation.
"In graduate school and postdoctoral work, one learns how to think rigorously and apply this rigor to scientific pursuits, but this does not guarantee success in industry".
