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We generalize the Poincaré limit which asserts that the n-dimensional Gaussian measure is approximated by the projections of the uniform probability measure on the Euclidean sphere of appropriate radius to the first n-coordinates as the dimension diverges to infinity.
Our approach to recognize solvent exposed and buried residues based solely on Cα positions involves calculation of accessible surface area values of Cα using a probe sphere of appropriate radius.
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Given the true position and size of phantom spheres is known for the NEMA IQ phantom, ground truth was created on the PET data by fitting a sphere of the appropriate volume to each of the phantom spheres to create a binary mask.
Imagine the stones as a glowing sphere in each color; visualize energy that is the same color as the stone, passing through the stone and entering into the chakra until you can clearly visualize that chakra as a large, glowing sphere of the appropriate color.
These two spheres of gender-appropriate behavior overlap in just a few areas: teamwork, delegating, creativity, coaching and developing others.
Sociology would be to the whole of the social world what each of the other great sciences was to its appropriate sphere of reality.
Why can we not conceive of a social science which could and would function as the theoretical natural sciences function, and yield precise unconditional predictions in the appropriate sphere of application?
Aryabhatiya ends with spherical astronomy in Gola, where he applied plane trigonometry to spherical geometry by projecting points and lines on the surface of a sphere onto appropriate planes.
The issue of appropriate stewardship of NBS dried blood-spot samples has recently gained traction in the public sphere as well as in the scientific literature.
In order to recognize the radius of the probe sphere that is appropriate for the structures with only Cα positions available we have calculated accessible surface area values of Cα atoms for the entries in the dataset of Cα-only structures using a series of probe of radii namely (in Å), 2.1, 2.5, 3.0, 3.4, 3.5, 3.6, 3.8, 3.8, 4.0.
Strawson proposes, therefore, that we fill the "lacuna" in the optimist's account by making appropriate reference to the essential role that the moral sentiments play in the sphere of responsibility.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com