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Isomorphic vs Graph - What's the difference?

isomorphic | graph |

As an adjective isomorphic

is (mathematics) related by an isomorphism; having a structure-preserving one-to-one correspondence.

As a noun graph is

graph or graph can be a symbol as the smallest unit in a text which has not yet been classified as a grapheme.

isomorphic

English

Adjective

(-)
  • (mathematics) Related by an isomorphism; having a structure-preserving one-to-one correspondence.
  • * 2003 , Bernd Siegfried Walter Schröder, page 254
    • Let A, B be the ordered sets in Figure 10.3. Let C be the direct product of infinitely many copies of the two element chain'' 2'''. ''Then AC is '''isomorphic to BC, but A is not isomorphic to B .
  • (biology) Having a similar structure or function to something that is not related genetically or through evolution.
  • * 1993 , Marcus Jacobson, Foundations of Neuroscience , page 106
    • The fact that different structures can be shown to be functionally isomorphic implies that they are analogous, not homologous.
  • Having identical relevant structure; being structure-preserving while undergoing certain invertible transformations.
  • * 1981 , John Lyons, Language and Linguistics: An Introduction , page 60
    • For example, in so far as written and spoken English are isomorphic (i.e. have the same structure), they are the same language: there is nothing but their structure that they have in common.

    Usage notes

    * (en-usage-equal)

    Derived terms

    * * isomorphically

    Related terms

    * isomorph * isomorphism * isomorphous

    Antonyms

    * *

    Coordinate terms

    * anisomorphic * heteromorphic * homomorphic

    External links

    * (isomorphic keyboard)

    graph

    English

    (wikipedia graph)

    Noun

    (en noun)
  • A diagram displaying data; in particular one showing the relationship between two or more quantities, measurements or indicative numbers that may or may not have a specific mathematical formula relating them to each other.
  • * {{quote-magazine, date=2012-03
    • , author= , title=Pixels or Perish , volume=100, issue=2, page=106 , magazine= citation , passage=Drawings and pictures are more than mere ornaments in scientific discourse. Blackboard sketches, geological maps, diagrams of molecular structure, astronomical photographs, MRI images, the many varieties of statistical charts and graphs : These pictorial devices are indispensable tools for presenting evidence, for explaining a theory, for telling a story.}}
  • (mathematics) A diagram displaying data, in particular one showing the relationship between two or more variables; specifically, for a function f(x_1, x_2, \ldots, x_n), the set of all tuples (x_1, x_2, \ldots, x_n, f(x_1, x_2, \ldots, x_n)).
  • (graph theory) An ordered pair (V,E), where V is a set of elements called vertices'' (or ''nodes'') and E is a set of pairs of elements of V, called ''edges ; informally, a set of vertices together with a set edges that join these vertices.
  • (lb) A character, in particular the abstracted fundamental shape of a character as distinct from its ductus (realization in a particular typeface or handwriting: compare glyph).

    • Synonyms

    * (in graph theory) undirected graph * See also

    Hyponyms

    * (in graph theory) tree

    Derived terms

    * acyclic graph * biased graph * biconnected graph * bipartite graph * complete graph * connected graph * directed graph * Eulerian graph * graph articulation * graph centre * graph eccentricity * graph eigenvalue * graph geodesic * graph minor * graph polynomial * graph spectrum * graph thickness * graphic matroid * graphoid * Hamiltonian graph * hypergraph * line graph * multigraph * object graph * Petersen graph * planar graph * pseudograph * random graph * regular graph * signed graph * small world graph * strongly regular graph * subgraph * superregular graph * undirected graph * unicursal graph * voltage graph * weighted graph

    Related terms

    * graphic * graphical * graphism

    Verb

    (en verb)
  • To draw a graph.
  • (mathematics) To draw a graph of a function.

    • Synonyms

    * (draw a graph of) plot, chart

    See also

    * plot * diagram * axis

    Anagrams

    *