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Each of the quantities (mu_{n}) and (nu_{n}) changes only when L changes.
Thus, Each of the quantities in the above expression was measured so the \ \bfrac{e}{m}\) or \ \bfrac{m}{e}\) could be determined.
The only way that common cause principles can hold when there are conserved global quantities is when the development of each of the quantities that jointly determine the value of the global quantity is deterministic.
In order to bring each of the quantities depicted in the kymographs [i.e. Dll1, Notch1, NICD and Lfng(i)] together, we calculated, as a function of time, the average signal intensity in caudal regions of the periodically extended kymographs.
Each of the quantities (I - X) I - Xble 1 can be computed by scanning a consTablenumber of times the input tree, either bottom-up or top-to-bottom.
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The heterogeneity of hardening is accounted for by discretizing the cell into a finite number of spherical layers in each of which the quantities characterizing hardening are considered as homogeneous.
In uniform under-counting, each instance of the quantity being counted (e.g. secondary cases, in the epidemiological context) can be overlooked with equal probability pu.
We recall each of these quantities using the Caputo derivative [1] and compute them for the Riemann-Liouville derivative.
Relative standard-curves with a four-fold dilutions series (1/4, 1/16, 1/64, 1/256, 1/1024) of a pool of 10 cDNA samples were constructed for each gene to extrapolate the value of the quantities of each studied sample.
Figure 3 figure supplement 1 shows the explicit dependence of the estimate on each of these quantities alone.
We used a different statistical model for each of the three quantities of interest, as shown in Table 1 and described in detail below.
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