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Related to homomorphism: homeomorphism, Automorphism


 (hō′mə-môr′fĭz′əm, hŏm′ə-)
1. Mathematics A transformation of one set into another that preserves in the second set the operations between the members of the first set.
2. Biology Similarity of external form or appearance but not of structure or origin.
3. Zoology A resemblance in form between the immature and adult stages of an animal.

ho′mo·mor′phic, ho′mo·mor′phous adj.


(ˌhəʊməʊˈmɔːfɪzəm; ˌhɒm-) or


(Biology) biology similarity in form
ˌhomoˈmorphic, ˌhomoˈmorphous adj


(ˌhoʊ məˈmɔr fɪz əm, ˌhɒm ə-)

also ho′mo•mor`phy,

1. correspondence in form or external appearance.
2. possession of perfect flowers of only one kind.
ho`mo•mor′phous, ho`mo•mor′phic, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.homomorphism - similarity of form
similarity - the quality of being similar
References in periodicals archive ?
A mapping h: M [right arrow] L is called an order homomorphism, if it satisfies the conditions:
It introduces group actions early, and includes Hasse diagrams of posets and homomorphism diagrams, while introducing normal subgroups, quotient groups, and homomorphisms late.
where the top arrow [kappa]* is induced by the homomorphism [kappa] : Stab(y) [right arrow] Stab([x.
We denote by [_]v the surjective homomorphism of [sigma]-semigroups that associates to a [sigma]-term t its interpretation [t]V in [sigma].
Besides that, existing works on homomorphic encryption are critically reviewed and compared in terms of encryption scheme, homomorphism classification, algorithm design, noise management scheme, and security assumption.
In our Proposed Design we promise to give high authenticity of each sensing data and Integrity of the same in a recoverable environment for concealed Data Aggregation (CDA) by privacy Homomorphism Encryption Scheme using Ecc-Elgamal Signature in a Binary transmission for three completely different Network Clusters.
In order to achieve this innovation, we first pretreat the images according to rhombus prediction model, and then we embed the watermarking information in encrypted images by effective combination of homomorphism encryption scheme and reversible watermarking techniques; the watermarking information can be completely extracted and the images are recovered based on computed difference histogram from left to right and from top to bottom.
A homomorphism f : H [right arrow] K between two SVNHGs H = (X, E, R) and K = (Y, F, S) is a mapping f: X [right arrow] Y, which satisfies:
Since ET0L (respectively EDT0L) languages are closed under homomorphism and finite union, this shows that [C.
A mapping f : A[right arrow]B is a homomorphism of sup-algebras if f preserves all basic operations and joins.
Homomorphism is an isomorphism if and only if the matrix is inevitable.
It analyzes similarity in terms of the existence of a suitable homomorphism between two structures.