The volume of proofs and theorems that have built on each other since the ancient Greeks is now so huge, and so diverse, that there is no choice but to specialise early on if you want to reach the highest level.
The model expressly addresses the roles of sampling error, BW volume, and burden of proof on the detection of noncompliant discharges in order to establish a rigorous lower limit of sampling volume.
Following incubation, the vials containing the gold slides and thiol solutions were sonicated in a water bath at low power (power "4" out of "10" using a Crest Ultrasonics model 230D sonicator) for 2 min and then overflow rinsed with five reaction volumes of 200 proof ethanol.
If an algorithm causes a high volume of cancellations, then proof of a violation without more evidence would depend on somehow divining the computer programmer's intent, which seems problematic if not utterly futile.
A nearly ideal 3D quadrupolar potential is achieved throughout the cell volume in these proof-of-principle designs that simultaneously simplify both mechanical construction and supply of electrical connections to FT-ICR cells.
They are usually marketed with an alcohol content of 43 49 percent by volume (86 98 U.S. proof).
Alas, within a couple of columns of print, I came upon Ali Smith's verdict on AS Byatt's own current volume ("proof of the contemporary robustness and elasticity of the form").
It also includes two bound volumes: a notebook on Kentucky pioneering and a scrapbook of proof sheets.
The idea of slicing by parallel planes was rediscovered in China, and a simpler proof that the volume of a sphere is two-thirds the volume of its circumscribing cylinder, using areas alone, was given by Liu Hui in ad 263.
PCR reactions were typically run in a total volume of 50 μl using the phusion proof reading polymerase (NEB).
The papers contain personal correspondence, college essays and other writings, the personal correspondence of Castle's immediate family, miscellaneous family papers, and typed copies and printer's proofs of a volume of Castle's letters that were edited by George and Helen Castlee's sister) Mead in 1902.
