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# Dismal arithmetic

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## Contents

## Definition

Dismal arithmetic is a commutative algebra in which operations on single digits are defined by^{[1]}

or equivalently

## See also

## Notes

- ↑ [ALS], p. 2.

## References

- [ALS] David Applegate, Marc LeBrun, N. J. A. Sloane, Carryless Arithmetic (I): The Mod 10 Version, 2010.