# Today I Learned

Some of the things I've learned every day since Oct 10, 2016

## Category Archives: geometry

## 90: The Standard (Unit) Simplex

January 11, 2017

Posted by on The **standard -simplex**, sometimes** **denoted , is the -simplex in with its vertices at the ‘unit’ points

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For example, is the point in , is the line segment from to in , and so on. A formal description is

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One possible interpretation of is as the set of possible probability distributions of a categorical distribution on variables.

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