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Everything about Bijective numeration
Numeral system in which every non-negative integer can be represented in exactly one way
Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits. The name refers to the bijection that exists in this case between the set of non-negative integers and the set of finite strings using a finite set of symbols. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Bijective numerationA 5-minute orientation
- Skim a recent paper: Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pantsInfluential work since 2022
- Read the landmark paper: Non-power positional number representation systems, bijective numeration, and the Mesoamerican discovery of zeroCited 3 times
- Go sideways: Numeral systemA closely related topic
- Go sideways: Non-standard positional numeral systemsA closely related topic
📖 Definitions
Noun A numeral system that uses digits to establish a bijection between finite strings and the positive integers, especially by k-adic notation such as unary and decimal without a zero.
🏆 Landmark papers (most cited)
Non-power positional number representation systems, bijective numeration, and the Mesoamerican discovery of zero
Bijective enumeration of general stacks
🆕 Influential since 2022
📚 Books worth reading
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🔗 Related topics
- Numeral system A numeral system is a writing system for expressing numbers without words; that is, a mathematical notation for representing numbers of a given set, using…
- Non-standard positional numeral systems Non-standard positional numeral systems here designates numeral systems that may loosely be described as positional systems, but that do not entirely comply…
- Radix In a positional numeral system, the radix (pl. radices) or base is the number of unique digits, including the digit zero, used to represent numbers. For…
- Positional notation Positional notation, also known as place-value notation, is the property of a numeral system that the value represented by each symbol in a written numeral…
- Decimal A decimal system (also called base-ten, denary or decenary) is a numeral system that uses ten as its radix (base). Decimal systems are the global standard…
- Golden ratio base Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number 12(1+5) ≈ 1.61803... symbolized by the Greek…
- Unary coding Unary coding, or the unary numeral system, is an entropy encoding that represents a natural number, n, with n ones followed by a zero (if the term natural…
- Numerical digit A numerical digit (often shortened to just digit) is a single symbol used to represent numbers in positional notation, such as 0, 1, ..., 9 in the common…