Word.ws English Dictionary

How to use isomorphism in a sentence

10 example sentences · noun

Isomorphism means similarity of form. Example: “Isometry is to metric spaces what isomorphism is to groups.”

Examples of isomorphism by meaning

nounSimilarity of form.

  • The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages.1984, Brigitte Asbach-Schnitker, “Introduction”, in Mercury or The Secret and Swift Messenger, →ISBN

More sentences with isomorphism

  • Isometry is to metric spaces what isomorphism is to groups.From the entry isometry
  • Along the way, we obtain p-adic realizations of mixed motives including p-adic comparison isomorphisms.2015, Frédéric Déglise, Wiesława Nizioł, “On p-adic absolute Hodge cohomology and syntomic coefficients, I”, in arXiv. From the entry syntomic
  • Thus there is an isomorphism between ultrametrics and hierarchical tree structures.1973, Paul E. Green, Yoram Wind, Multiattribute Decisions in Marketing: A Measurement Approach, Dryden Press, →ISBN, page 366. From the entry ultrametric
  • An isomorphism is a bijective homomorphism.2010, Kang Feng, Mengzhao Qin, Symplectic Geometric Algorithms for Hamiltonian Systems, Springer, page 39. From the entry bijective
  • As an immediate consequence, we prove that finding a class representative itemsets up to subitemset isomorphism is GI-Hard --- at least as hard as the graph isomorphism problem..2015, Martin Marinov, David Gregg, “Itemset Isomorphism: GI-Complete”, in arXiv. From the entry subitemset
  • After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy.2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv. From the entry homomesic
  • Thus, Parker squares of different types may lie in the same isomorphism class and, a fortiori, in the same isotopism or main class of latin squares.2015, A. Donald Keedwell, József Dénes, Latin Squares and their Applications, →ISBN, page 287. From the entry Parker square
  • Further, the advocate of the isomorphism theory of reference for mental representation is going to assume that each belief is tokenwise identical to some mental representation.2014, Christopher Gauker, Thinking Out Loud, page 125. From the entry tokenwise
  • And they seem to work, in the sense that in a sufficiently strong set theory it can be shown that Peano's axioms have (up to isomorphism) a unique model (cf.1996, Moshe Machover, Set Theory, Logic and Their Limitations, Cambridge University Press, →ISBN, page 282. From the entry ambient

Meaning of isomorphism

  1. noun Similarity of form.
  2. noun The similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology.
  3. noun The similarity in the crystal structures of similar chemical compounds.

Full definition of isomorphism

Questions about isomorphism in a sentence

How do you use isomorphism in a sentence?
Isomorphism is used as a noun. For example: “Isometry is to metric spaces what isomorphism is to groups.”
What is a short sentence with isomorphism?
“An isomorphism is a bijective homomorphism.”
What does isomorphism mean?
Isomorphism means similarity of form.

Source and license

Adapted from Wiktionary: isomorphism (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.

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