Exact(4)
In this article we will study what we call weighted counting functions on hyperbolic Riemann surfaces of finite volume.
IfMis non-compact, then we define the weighted counting functionNM, w(T) via the inverse Laplace transform from which one can express the weighted counting function in terms of spectral data associated toM(see Proposition 5.1 and Remark 5.2).
IfMis compact, then we define the weighted counting function forw⩾0 to beNM, w(T =n (T−λn w,where {λn} is the set of eigenvalues of the Laplacian which acts on the space of smooth functions onM.
For example, one could account for base qualities by a weighted counting scheme, instead of a simple phred quality threshold.
Similar(56)
Forty eight hours post-injection mice were sacrificed and the tumors and muscle were removed, blotted from blood, weighted, counted in a gamma counter and percentage of injected dose per gram tissue and tumor to muscle ratios were calculated.
Spatial intensity is often measured as weighted counts as described (26 ).
Jellyfish [ 96] was further used to record quality weighted counts of all 19mers in the data set.
One part of each tumour was dry weighted, counted in a gamma counter (Wallac, Turku, Finland) and the percentage of injected dose per gram tumour (ID g−1, %) was calculated.
Each tissue was wrapped in foil, weighted, and counted for 99mTc.
Plasma and blood pellet were separated, weighted, and counted for radioactivity.
Lumbricids were recovered manually, identified, weighted and counted.
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