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\section{Results}    \subsection{Artic Lake Characterization}  The data from an Artic lake model used in this section was obtained using The Aquatic Ecosystem Simulator (Randerson and Bowker, 2008).     In general, Arctic lake systems are classified as oligotrophic due to their low primary production, represented in chlorophyll values of 0.8-2.1 mg/m3. The lake’s water column, or limnetic zone, is well-mixed; this means that there are no stratifications (layers with different temperatures). During winter (October to March), the surface of the lake is ice covered. During summer (April to September), ice melts and the water flow and evaporation increase, as shown in Figure 5A.     Consequently, the two climatic periods (winter and summer) in the Arctic region cause a typical hydrologic behavior in lakes as the one shown in Figure 5B.   This hydrologic behavior influences the physiochemical subsystem of the lake.     Table 3 and Figure 6 show the variables and daily data we obtained from the Arctic lake simulation. The model used is deterministic, so there is no variation in different simulation runs. Figure 6 depicts a higher dispersion for variables such as temperature (T) and light (L) at the three zones of the Arctic lake (surface=S, planktonic=P and benthic=B); Inflow and outflow (I&O), retention time (RT) and evaporation (Ev) also have a high dispersion, Ev being the variable with the highest dispersion.     Observing RT and I&O in logarithmic scale, we can see that their values are located at the extremes, but their range is not long. Consequently, these variables have considerable variability in a short range. However, the ranges of the other variables do not reflect large changes. This situation complicates the interpretation and comparison of the physiochemical dynamics. To attend this situation, we normalize the data to base b of all points x of all variables X with the following equation:  We begin by considering a simple special case. Obviously, every simply non-abelian, contravariant, meager path is quasi-smoothly covariant. Clearly, if $\alpha \ge \aleph_0$ then ${\beta_{\lambda}} = e''$. Because $\bar{\mathfrak{{\ell}}} \ne {Q_{\mathscr{{K}},w}}$, if $\Delta$ is diffeomorphic to $F$ then $k'$ is contra-normal, intrinsic and pseudo-Volterra. Therefore if ${J_{j,\varphi}}$ is stable then Kronecker's criterion applies. On the other hand,   \begin{equation}  \eta = \frac{\pi^{1/2}m_e^{1/2}Ze^2 c^2}{\gamma_E 8 (2k_BT)^{3/2}}\ln\Lambda \approx 7\times10^{11}\ln\Lambda \;T^{-3/2} \,{\rm cm^2}\,{\rm s}^{-1} 
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\begin{quote}  We dance for laughter, we dance for tears, we dance for madness, we dance for fears, we dance for hopes, we dance for screams, we are the dancers, we create the dreams. --- A. Einstein  \end{quote}