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Everything about Integer
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An integer is the number zero (0), a positive natural number, or the negation of a positive natural number. The negations or additive inverses of the positive natural numbers are referred to as negative integers. The set of all integers is often denoted by the boldface Z or blackboard bold . Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: IntegerA 5-minute orientation
- Skim a recent paper: Observation of Integer and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer MoTe 2Influential work since 2022
- Pick up a classic book: Integer and combinatorial optimizationThe most-reprinted book on the subject
- Read the landmark paper: Future paths for integer programming and links to artificial intelligenceCited 3,283 times
- Go sideways: ExponentiationA closely related topic
- Go sideways: Ring (mathematics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Future paths for integer programming and links to artificial intelligence
Integer Programming Formulation of Traveling Salesman Problems
The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation
Branch-and-Price: Column Generation for Solving Huge Integer Programs
The Lagrangian Relaxation Method for Solving Integer Programming Problems
A Computationally Efficient Mixed-Integer Linear Formulation for the Thermal Unit Commitment Problem
Chern number and edge states in the integer quantum Hall effect
Unconventional Integer Quantum Hall Effect in Graphene
🆕 Influential since 2022
Observation of Integer and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer MoTe 2
Trajectory Optimization for High-Speed Trains via a Mixed Integer Linear Programming Approach
Integer topological defects organize stresses driving tissue morphogenesis
Breakdown of topological protection by cavity vacuum fields in the integer quantum Hall effect
Mixed-integer linear programming models and algorithms for generation and transmission expansion planning of power systems
📚 Books worth reading
Integer and combinatorial optimizationGeorge L. Nemhauser · 1988
Integer programmingLaurence A. Wolsey · 1998
Linear and integer programmingGerard Sierksma · 1996
Integer programmingJohn K. Karlof · 2005
Linear and Integer Programming Made EasyT. C. Hu, Andrew B. Kahng · 2015
Dual-Feasible Functions for Integer Programming and Combinatorial OptimizationCláudio Alves, Francois Clautiaux · 2016
Multiobjective Linear and Integer ProgrammingCarlos Henggeler Antunes, Maria Joao Alves · 2016
Advanced number theoryHarvey Cohn · 1980
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Exponentiation In mathematics, exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent, n. When n is a positive integer, exponentiatio…
- Ring (mathematics) In mathematics, a ring is an algebraic structure consisting of a set with two binary operations typically called addition and multiplication and denoted…
- Rational number In mathematics, a rational number is a number that can be expressed as the quotient or fraction pq of two integers, a numerator p and a nonzero denominator…
- Semiring In abstract algebra, a semiring is an algebraic structure. Semirings are a generalization of rings, dropping the requirement that each element must have…
- Real number In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a length, duration or temperature.…
- Natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. The terms positive integers, non-negative integers, whole…
- Multiplication Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The…
- Polynomial ring In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more…