| 21. | These correlation functions are typically computed by averaging over many pairs of galaxies.
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| 22. | We can then use the auto correlation function to estimate the error bar.
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| 23. | The quantum mechanical correlation functions are an analytic continuation of the Euclidean correlation functions.
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| 24. | The quantum mechanical correlation functions are an analytic continuation of the Euclidean correlation functions.
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| 25. | However, such higher order correlation functions are relatively difficult to interpret and measure.
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| 26. | Thus the real space two-point correlation function for each of these modes is
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| 27. | Similarly, single particle correlation functions do not depend heavily on the method employed.
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| 28. | Because there are two components of shear, three different correlation functions can be defined:
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| 29. | Technically, they reduce to the computations of certain correlation functions in the vacuum state.
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| 30. | The exponential decay in space and time separation of the correlation functions was calculated explicitly.
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