# Bracketopic product (InstanceTopic, 5)

### From Hi.gher. Space

The three **bracketopic products** are *max*, *rss* and *sum*, as defined in this page. They are mainly used in bracket notation.

## Max

max(a,b) = {abs(a), abs(a) > abs(b); abs(b), abs(a) ≤ abs(b)}

Max is the *square bracketopic product*. It will produce something rectangular in the dimensions concerned.

In bracket notation, max is represented with brackets `[ab]`

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## RSS (Root-Sum-Square)

rss(a,b) = (a^{2}+b^{2})^{2-1}

RSS is the *circular bracketopic product*. It will produce something rounded in the dimensions concerned.

In bracket notation, rss is represented with parentheses `(ab)`

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## Sum

sum(a,b) = abs(a) + abs(b)

Sum is the *tegmal bracketopic product*. It will produce something tegmal, i.e. diamond-shaped, in the dimensions concerned.

In bracket notation, sum is represented with chevrons `<ab>`

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