They ruined welcome signs, spray-painted "Pope Out" in English on the pavement, and sketched a graphic equation between the Christian cross and a swastika.
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<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0009943.e003.PNG" class= inline-graphic"/> Equation 3. Relative pathway connectivity.
The co-adaptation equilibrium <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0008606.e037.PNG" class= inline-graphic"/> (equation 5) has several interesting properties.
For the statistical analysis, we used the following linear model: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0011027.e001.PNG" class= inline-graphic"/> Equation [1] refers only to one trait (e.g. health).
Substituting this value into the second term of (42), the steady-state error component due to the basal rate can be found as: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012785.e044.PNG" class= inline-graphic"/> Equation (43) can provide important insight about reducing the steady-state error due to basal activity by tuning the strength of FYZ or FZY.
Using (20) and (24), the transfer function of PAR is: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012785.e029.PNG" class= inline-graphic"/> Equation 29 illustrates that, compared to simple regulation, the time constant (1/D″) is increased because D″ is equal to D subtracted by H, a positive number.
<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0011575.e006.PNG" class= inline-graphic"/> Equation (5) is a formal statement of the requirement that the composition of the cDNA used in qRT-PCR experiments must accurately reflect the composition of the RNA component of the population-average cell.
This way the strength of any given sequence, of the same length (C) as the DUES consensus, can be quantified from the overall conservation of its nucleotides across mismatch loads as <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0000741.e009.PNG" class= inline-graphic"/> (equation 19), where p is the position.
The natural frequency of the response is: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0012785.e037.PNG" class= inline-graphic"/> Equation 37 shows that both the parameters influenced by arabinose (F1 and F2) and parameters influenced by IPTG (F3 and F4) can change or tune the oscillating frequency.
