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$$IC = \frac{\sum_{i=1}^{26} f_i(f_i-1)}{N(N-1)}$$

Suppose we have a text that reads: "GUR PENML XRL VF ZL FRPERG CBFG". We can calculate the IC of this text using the formula above.

In conclusion, the Index of Up 2009 is a useful tool for analyzing the frequency distribution of letters in a text and detecting encryption. Its practical applications include cryptanalysis, language identification, and text analysis.

The IC value ranges from 0 to 1. A value close to 0 indicates that the text is likely encrypted, while a value close to 1 indicates that the text is written in a natural language.

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