Universal #1361
Legacy number: 1361
| Number | 1357 |
| Original | A multiplicand in a pseudo-base is always smaller than its multiplier. |
| Standardized | In numeral systems, a multiplicand in a pseudo-base is always smaller than its multiplier. |
| Keywords | numeral |
| Domain | word formation |
| Type | unconditional |
| Status | achronic |
| Quality | statistical |
| Basis | 56 languages mentioned in Greenberg 1978a |
| Source | Greenberg 1978a: 270 (#22) |
Discussion
Notes
1. MULTIPLICAND = a quantity to be multiplied by another.MultiplieR = a quantity by which another is multiplied.2. The multiplicands which are not serialized multiplicands, and therefore not bases (cf. #1360), fall into two types. There are first those which fail because they are no augends, even though they are multiplied by successive numbers. The multiplicand here is usually two types which can be called a ‘pairing system’, also known as a pseudo-base. It has a further characteristic, namely that the multiplicand is smaller than the multiplier, whereas generally the opposite holds, e.g. English ‘twenty’ which is (2x) 10.In a true base this generalization may also hold for individual number expressions, see #1362.
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2. The multiplicands which are not serialized multiplicands, and therefore not bases (cf. <a class="innerLink" href="browse.php?entry_id=1360"><img src="../img/entry.gif" border="0">), fall into two types. There are first those which fail because they are no augends, even though they are multiplied by successive numbers. The multiplicand here is usually two types which can be called a 'pairing system', also known as a pseudo-base. It has a further characteristic, namely that the multiplicand is smaller than the multiplier, whereas generally the opposite holds, e.g. English 'twenty' which is (2x) 10. In a true base this generalization may also hold for individual number expressions, see <a class="innerLink" href="browse.php?entry_id=1362"><img src="../img/entry.gif" border="0">.