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"We are creating incremental distribution for our content providers," said Christian Oestlien, product manager for AdSense.

We used a GLMM with a logistic link function and a binary probability distribution for our target variable (accuracy, correct or incorrect on a given single trial).

Thus, we decided not to use equal weight distribution for our visualization.

In the poll, the demographic results provided a distribution for our sample.

Another limitation of our study was the assumption of normal distribution for our data for statistical tests of significance.

Because the data in this study apparently followed a log-normal distribution, we used this distribution for our calculations.

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The green dots indicate the 2000 random samplings of the probability distributions for our probabilistic assessment of natural sea-level change based on equations 1–3.

"Our results again demonstrated the growth inherent in Apollo's business model as we actively raised and deployed capital around the world, and our diversified investment platform continued to generate cash distributions for our shareholders".

"We believe our first-quarter results demonstrate the strength of Apollo's global integrated platform and that 2012 is off to a terrific start in terms of capital formation, capital deployment, and cash distributions for our shareholders," Leon Black, Apollo's chairman and chief executive, said in a statement.

We should note here that (the probability distributions for) our nontwisted fields (varPhi_{ell}) were unchanged under a global shift of the orientations.

The shape of our measured distributions for interneighbor angles is highly skewed (see Figs 8 and 9), as are the expected distributions for our artificial models of patch and active region locations shown in Figure 5.

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