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The requirement for interfacial mesh refinement can be detected swiftly, without the need of thickness information, equation solving, variable averaging or mesh repairing.
fThe more dependent the signals are, the higher the value of the mutual information Equation (29) becomes, while simultaneously, the values of the similarity measures from (21), (30), and (37) decrease.
A component's weight (wi) would correspond to the number of functional channels of that type (in the formalism used here, weights would be negative for inputs contributing prior information (equation 3) and positive for inputs contributing current information (equation 4)).
The average lifetime, for each point (Supporting Information, Equation S2), amounted to τav=0.7±0.2 ns.
The time profiles were fitted using a double exponential function (Supporting Information, Equation S1).
The NMI of two variables is their mutual information (Equation 2) divided by their joint entropy (Equation 3) (Shannon, 1948).
Similar(49)
The mutual information equations for non-cooperative and cooperative diversity schemes can be described as follows.
8 Sub(9,9) and 4 Sub(10,10) to realize the 8 max (2-input) operations and compute 4 bit-level (systematic and parity) extrinsic information as demapper a priori information (Equations (12) and (13)).
The data and their fits are shown in Figure 6b d and analyzed using the methods described in Supporting Information (equations S1 S3).
Second, the IL-1R modulation effects described in Figure 2 were modeled using phenomenological equations (Supplementary Information Equations 3 9) derived from ex vivo data of the relative effects of IL-1β and IL-1Ra on β-cell replication, apoptosis (Supplementary Figure S1), and β-cell insulin secretion capacity, as well as IL-1β and glucose effects on the conversion of proinsulin to insulin.
According to the polarization information and equations (1) and (4), equation (5) can be rearranged in the matrix form and written as (8).
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