P-Adic numbers, basic: Difference between revisions
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p-Adic numbers were introduced around 1900 by Hensel. p-Adic expansions |
p-Adic numbers were introduced around 1900 by Hensel. p-Adic expansions |
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(a series of digits 0 ≤ d < p times p-power weights) |
(a series of digits 0 ≤ d < p times p-power weights) |
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are finite-tailed and |
are finite-tailed and tend to zero in the direction of higher positive |
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powers of p (to the left in the notation used here). |
powers of p (to the left in the notation used here). |
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For example, the number 4 (100.0) has ''smaller'' 2-adic norm than 1/4 (0.01). |
For example, the number 4 (100.0) has ''smaller'' 2-adic norm than 1/4 (0.01). |
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