Definition

1. Noun:
   • (Mathematics) A mathematical relation: A precise rule that associates each element from one set (called the domain) with exactly one element in another set (called the codomain or range). This is the fundamental concept of a function.
   • (Genetics) The process of locating genes: The scientific procedure of determining the specific positions of genes or other DNA sequences on a chromosome.
   • The act or process of making a map: The creation of a diagrammatic representation of an area.

Examples of Usage

• Noun (Mathematics):

  • The function f(x) = x² defines a mapping from real numbers to non-negative real numbers.
  • Understanding the concept of mapping is essential for learning linear algebra.

• Noun (Genetics):

  • The Human Genome Project involved the detailed mapping of human DNA.
  • Genetic mapping helps identify the location of genes responsible for certain diseases.

• Noun (Cartography/General):

  • The mapping of the ocean floor revealed new underwater mountains.
  • His job involves the digital mapping of urban areas.

Advanced Usage

• "One-to-one mapping" (Mathematics): A mapping where each element of the range is the image of exactly one element from the domain (an injective function).

  • The relationship between a person and their unique social security number is a one-to-one mapping.

• "Mind mapping" (General): A visual technique for organizing information around a central concept.

  • She used mind mapping to brainstorm ideas for her essay.

Variants and Related Words

• Map (n/v): The diagram itself (noun) or the act of creating it (verb).

  • We need a map of the city. (Noun)
  • They plan to map the entire region. (Verb)

• Mapper (n): A person or tool that creates maps.

  • He works as a data mapper for a tech company.

Synonyms

• Function (Mathematics): A mapping where each input has a single output.
• Charting (General): The process of making a map or chart.
• Localization (Genetics): Determining the specific position of something.

Related Phrases

• Mapping out: To plan something in detail.

  • We spent the afternoon mapping out our strategy for the project.

• Mapping onto (Mathematics): Describing how one set corresponds to another.

  • This operation maps the vector onto a new subspace.

Noun

1. (genetics) the process of locating genes on a chromosome
2. (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)