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Nobody denies that if you have further knowledge that imposes constraints on the model or the prior, then those constraints must be accommodated.
Thus, the upper bound for the performance of Algorithm 1 can be improved with a tighter analysis if we have further knowledge about the distribution of harvesting rates among nodes.
Investigators in the US and UK believe he may have further knowledge about the Pan Am airliner bombing in over Lockerbie in Scotland in 1988 in which 270 people died.
From other studies we have further knowledge about the relative rates between transversions, the transition A T→G C, and the transition G C→A T, which occur in roughly in the ratio 1 3 5 along vertebrate lineages [ 22].
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This article presents the hypotheses and current research that have furthered knowledge of the molecular mechanisms that govern distraction osteogenesis.
Following the same approach as in Section 5.4, we assume the repairing node has further knowledge of r s for s=1,…, K−L); therefore, it knows (underline {y}'_{t} = H_{mathcal {U}} underline {x}_{t} + underline {w}_{t}) for t=1,2,…,N.
To obtain another upper bound on the instantaneous mutual information (I underline {x}; underline {y} mid H)), we consider the situation that the repairing node has further knowledge of r i,t−1=g i x t−1+z i when t=2,4,…,N and (i=frac t2 +1).
The study of stem cells and cell differentiation has enabled scientists to reliably produce specific types of cells from human embryonic stem cells as well as from induced pluripotent stem cells (genetically reprogrammed adult cells), which has furthered knowledge of embryonic development and facilitated the development of novel cell-based therapies.
It would be desirable to have further comparable knowledge of the efficiency of different methanogenic strains in terms of space time yield and conversion rates under industrially relevant conditions, for example by performing pure culture studies with fluctuating substrate composition, fluctuating pH and under different substrate concentrations.
Subsequent experiences have further shaped my knowledge and appreciation of nature's significance, none more so than my tenure as executive director of the Princeton Environmental Institute (PEI), an interdisciplinary center of environmental research, education, and outreach.
More recent studies have further increased our knowledge regarding HER4-associated apoptosis (Naresh et al, 2006).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com