# Category:Dipper Operations

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This category contains results about **Dipper Operations**.

Definitions specific to this category can be found in Definitions/Dipper Operations.

The **dipper operation** $+_{m, n}$ is the binary operation on $\N_{< \paren {m \mathop + n} }$ defined as:

- $\forall a, b \in \N_{< \paren {m \mathop + n} }: a +_{m, n} b = \begin{cases} a + b & : a + b < m \\ a + b - k n & : a + b \ge m \end{cases}$

where $k$ is the largest integer satisfying:

- $m + k n \le a + b$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Dipper Operations"

The following 4 pages are in this category, out of 4 total.