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Now we shall use two elementary lemmas above to support the proof of the main results.
The quadratic convergence of this scheme is proved mathematically, and numerical tests are shown to support the proof.
These preliminary results support the proof of concept but larger series are obviously needed to confirm the clinical relevance of this technology in rheumatoid arthritis, These preliminary data suggest that 18F- FDG PET/CT is a reproducible and accurate tool for evaluating disease activity in refractory rheumatoid arthritis and its non-response to rituximab.
Together, these results further support the proof of principle that boronation is a perspective direction for chemical modifications of chlorins aiming at more potent, well-tolerable antitumor photosensitizers.
Nevertheless, these results support the proof of principle that this device allows simple word reading.
Recognizing the time limitations often presented to our pediatric caregivers, their results would seem to support the proof of concept for this approach.
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Our results with non-human primates support the proof-of-concept that measurement of γ-H2AX foci in lymphocytes and plucked hair bulbs may be useful for estimation of both homogeneous and inhomogeneous exposures to irradiation at times at least 4-days post exposure at doses of 3.5 Gy and above.
However, given the fact that even a subset of the currently extracted genes have been identified in cancer related pathways, is quite encouraging and further supports the proof-of-concept that is intended with the approach of Disease Evolution Monitoring in the current work.
Even when a construction is offered, it is usually applied towards proving the axioms of the real numbers, which then support the above proofs.
This idea is supported by the proof-theoretical approach described here, as shown in the formal proof φ2 in Section 3, where Newton's law of motion was not merely a statement; it was used as a principle of inference, in the form of a definition inference rule.
However, extensive patient-based studies are required to support this proof of concept study.
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