What's the difference between
and
Enter two words to compare and contrast their definitions, origins, and synonyms to better understand how those words are related.

Dimension vs Cobordism - What's the difference?

dimension | cobordism |

As nouns the difference between dimension and cobordism

is that dimension is a single aspect of a given thing while cobordism is a connection between two manifolds of the same dimension {{g}} neutral via a manifold of dimension n+1, where the smaller manifolds are included in the boundary of the larger manifold.

As a verb dimension

is to mark, cut or shape something to specified dimensions.

dimension

English

(wikipedia dimension)

Noun

(en noun)
  • A single aspect of a given thing.
  • A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
  • * {{quote-magazine, date=2012-01
    • , author=Robert L. Dorit , title=Rereading Darwin , volume=100, issue=1, page=23 , magazine= citation , passage=We live our lives in three dimensions for our threescore and ten allotted years. Yet every branch of contemporary science, from statistics to cosmology, alludes to processes that operate on scales outside of human experience: the millisecond and the nanometer, the eon and the light-year.}}
  • A construct whereby objects or individuals can be distinguished.
  • (geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
  • (linear algebra) The number of elements of any basis of a vector space.
  • (physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
    • The dimension of velocity is length divided by time.
  • (computing) Any of the independent ranges of indices in a multidimensional array.
  • (science fiction, fantasy) An alternative universe or plane of existence.

    • Synonyms

    * (single aspect of a thing ): aspect * (measure of spatial extent ): magnitude, proportion, size, scope * (construct whereby objects or individuals can be distinguished ): attribute, property

    Derived terms

    * * * * correlation dimension * dimensional * dimensional analysis * dimensional shingle * exterior dimension * four-dimensional * fourth dimension * fractal dimension * Hamel dimension * Hausdorff dimension * information dimension * isoperimetric dimension * Kaplan-Yorke dimension * Krull dimension * Lebesgue covering dimension * Lyapunov dimension * multidimensional * one-dimensional * pointwise dimension * poset dimension * q-dimension * third dimension * three-dimensional * transdimensional

    Related terms

    * hyperdimension

    Verb

    (en verb)
  • To mark, cut or shape something to specified dimensions.

    • cobordism

    English

    (wikipedia cobordism)

    Noun

    (en noun)
  • (mathematics) A connection between two manifolds of the same dimension (n) via a manifold of dimension n+1, where the smaller manifolds are included in the boundary of the larger manifold.
  • (mathematics) The theory and study of such objects.
  • * 2008 April, John R. Harper, "Generalized cohomology'', by Akira Kono and Dai Tamaki" (book review), '' volume 45 number 2, page 310,
    • ''Cobordism revives the intuitive idea of bounding harbored in the original work of PoincarĂ© but later sacrificed in order to construct a viable theory based on simpicial complexes.

    Anagrams

    *