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Category vs Vector - What's the difference?

category | vector |

In mathematics|lang=en terms the difference between category and vector

is that category is (mathematics) a collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative while vector is (mathematics) any member of a (generalized) vector space.

As nouns the difference between category and vector

is that category is a group, often named or numbered, to which items are assigned based on similarity or defined criteria while vector is (mathematics) a directed quantity, one with both magnitude and direction; the signed difference between two points.

As a verb vector is

to set (particularly an aircraft) on a course toward a selected point.

category

English

(wikipedia category)

Noun

(categories)
  • A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
  • *
    • The traditional way of describing the similarities and differences between constituents is to say that they belong to categories'' of various types. Thus, words like ''boy'', ''girl'', ''man'', ''woman'', etc. are traditionally said to belong to the category''' of Nouns, whereas words like ''a'', ''the'', ''this'', and ''that'' are traditionally said to belong to the ' category of Determiners.
    This steep and dangerous climb belongs to the most difficult category .
    I wouldn't put this book in the same category as the author's first novel.
  • (mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
    • One well-known category has sets as objects and functions as arrows.
    Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

    Synonyms

    * (group to which items are assigned) class, family, genus, group, kingdom, order, phylum, race, tribe, type * See also

    Derived terms

    * category mistake * category theory * conceptual category * perceptual category * subcategory * supercategory

    Related terms

    * categorical * categorise / categorize * categorial

    External links

    * *

    vector

    English

    (wikify) (wikipedia vector)

    Noun

    (en noun)
  • (mathematics) A directed quantity, one with both magnitude and direction; the signed difference between two points.
  • *
  • (mathematics) An ordered tuple representing a directed quantity or the (soplink) between two points.
  • (mathematics) Any member of a (generalized) vector space.
    • The vectors in {\mathbb Q}[X] are the single-variable polynomials with rational coefficients: one is x^{42}+\frac1{137}x-1.
  • (aviation) A chosen course or direction for motion, as of an aircraft.
  • (senseid)(epidemiology) A carrier of a disease-causing agent.
  • (sociology) A person or entity that passes along an urban legend or other meme.
  • (psychology) A recurring psychosocial issue that stimulates growth and development in the personality.
  • The way in which the eyes are drawn across the visual text. The trail that a book cover can encourage the eyes to follow from certain objects to others.
  • (computing, operating systems) A memory address containing the address of a code entry point, usually one which is part of a table and often one that is dereferenced]] and [[jump, jumped to during the execution of an interrupt.
  • (programming) A one-dimensional array.

    • Usage notes

    * (programming) The term is used loosely when the indices are not (either positive or non-negative) integers.

    Hypernyms

    *

    Hyponyms

    * * * * * * * (hyp-mid3) * * * * * * * (hyp-mid3) * * * ) * * * (hyp-bottom)

    Derived terms

    * * * * * * * * *

    Verb

    (en verb)
  • To set (particularly an aircraft) on a course toward a selected point.
  • * 1994 , Eve Kosofsky Sedgwick, Tendencies
    • if love is vectored toward an object and Elinor's here flies toward Marianne, Marianne's in turn toward Willoughby.

    References

    * The New Oxford Dictionary of English

    Anagrams

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