This approach aims to study the intrinsic continuous manifold (widehat {Omega }) of the data, via its sampled finite manifestation Ω. Nadler et al. [55] showed that as the number of data points L→∞ the random walk on the discrete graph manifested by the Markov matrix P, as in (6), converges to a random walk on the continuous space, manifested by the Fokker-Planck operator.
Informed consent forms were obtained for the analysis of all tissue samples with clinical manifestations.
While manifestations of sampling uncertainty can be identified by the variability in results from multiple samples used for the same estimation (for example, the replicates of a laboratory experiment), it may be more difficult to recognize sampling uncertainty in a single sample which is often the case for hospital comparisons.
Infection as the cause of revision was determined and reported by the surgeon immediately after surgery, based on the preoperative clinical manifestations and samples in addition to peroperative evaluation.
These patients, in whom the lung is the only or most clinically important manifestation of occult CTDs, are suspected of having a systemic autoimmune disease due to the presence of circulating autoantibodies, specific histopathological features on surgical lung biopsy samples, or subtle extrathoracic manifestations.
Individual patient ALL samples led to manifestation of overt leukemia after different periods of time.
Traditionally, biomarkers are screened between samples after cancer manifestation, often at relatively late stages in the cancer development after symptoms have occurred.
There was concern during analysis that the less-experienced surveyed medic sample would display less severe manifestations of distress than the more experienced interviewed sample.
The sites of infection are listed in Table 1, as determined based on clinical manifestations, positive culture samples, X-ray films, or computed tomographic imaging.
In the nephritis group, the anti-dsDNA titer correlated strongly with the SLEDAI value at sampling before the first renal manifestations (r = 0.63, P < 0.02).
