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Everything about Continuous or discrete variable

Types of numerical variables in mathematics

In mathematics and statistics, a quantitative variable may be continuous or discrete. If it can take on two real values and all the values between them, the variable is continuous in that interval. If it can take on a value such that there is a non-infinitesimal gap on each side of it containing no values that the variable can take on, then it is discrete around that value. In some contexts, a variable can be discrete in some ranges of the number line and continuous in others. In statistics, continuous and discrete variables are distinct statistical data types which are described with different probability distributions. Wikipedia →

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  1. Read the overview: Continuous or discrete variableA 5-minute orientation
  2. Skim a recent paper: Experimental demonstration of high-rate discrete-modulated continuous-variable quantum key distribution systemInfluential work since 2022
  3. Pick up a classic book: Introduction to operations researchThe most-reprinted book on the subject
  4. Read the landmark paper: Hybrid discrete- and continuous-variable quantum informationCited 416 times
  5. Go sideways: Mathematical statisticsA closely related topic
  6. Go sideways: Glossary of probability and statisticsA closely related topic

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🗂️ The subject at a glance

  1. Continuous variable
  2. Discrete variable
  3. Mixture of continuous and discrete variables

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