Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
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Display a number in decimal form so that recurring digit sequences are highlighted and displayed only once
ResourceFunction["RecurringDecimalForm"][val] displays numeric value val such that recurring digits are highlighted and displayed only once. | |
ResourceFunction["RecurringDecimalForm"][val,b] displays numeric value val such that digits recurring in base b are highlighted and displayed only once. |
"MinRepeats" | 3 | number of times digits must repeat before they are assumed to be recurring |
"RoundingDigits" | 1 | number assumed to be affected by rounding and, as such, ignored |
"Notation" | "Vinculum" | display notation to be used for recurring digits; choices are "Vinculum", "Dots", "Parenthesis" or "Arc" |
Some rational numbers have recurring decimal digits:
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RecurringDecimalForm displays this in a more compact notation:
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RecurringDecimalForm accepts any input that is numeric:
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RecurringDecimalForm ignores repeating zeros:
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For numeric quantities, a repeating sequence in the final digits (excluding the last digit, which is subject to rounding) is assumed to be recurring:
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For exact numeric quantities that are not explicitly Rational, RecurringDecimalForm searches the first $MaxExtraPrecision digits:
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Recurring digits can be found in other number bases:
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Digit sequences that repeat at least three times are assumed to be recurring:
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The option "MinRepeats" controls this sensitivity:
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There are several notations for the display of recurring digits used in different parts of the world:
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By default, the final digit is assumed to be subject to rounding and is ignored:
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In some circumstances, more digits are affected by rounding:
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You can ignore more digits with "RoundingDigits":
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By default, the final digit is assumed to be subject to rounding and is ignored:
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In some circumstances, more digits are affected by rounding:
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In these circumstances, RecurringDecimalForm will not recognize the repeat:
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You can ignore more digits with "RoundingDigits":
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