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# Projection

### From Intelligent Perception

Given two sets $X$ and $Y$. Then $X×Y$ is the set of all pairs $(a,b)$ of elements in $X$ and $Y$ respectively. The functions $p_X: X×Y → X$ and $p_Y: X×Y → Y$ given by $p_X(a,b) = a, p_Y(a,b) = b$ are called the projections.
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