isomorphism

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isomorphism

 [i″so-mor´fizm]
identity in form; in genetics, referring to genotypes of polypoid organisms that produce similar gametes even though containing genes in different combinations on homologous chromosomes. adj., adj isomor´phic.

i·so·mor·phism

(ī'sō-mōr'fizm),
Similarity of form between two or more organisms or between parts of the body.
[iso- + G. morphē, shape]

isomorphism

(ī′sə-môr′fĭz′əm)
n.
1. Biology Similarity in form, as in organisms of different ancestry.
2. Mathematics A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
3. A close similarity in the crystalline structure of two or more substances of similar chemical composition.

i′so·mor′phous adj.

i·so·mor·phism

(ī'sō-mōr'fizm)
Similarity of form between two or more organisms or between parts of the body.
[iso- + G. morphē, shape]
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References in periodicals archive ?
Explicitly, the isomorphism (0.1) is given by associating to f ([tau]) [member of] [M.sub.3m]([GAMMA]) the m-canonical form [f ([tau])(d[tau] [LAMBDA] dz).sup.[cross product]m] where z is the uniformizing coordinate on the smooth fibres C/(Z T Z[tau]) of [pi].
(1) One can show that [S.sub.[alpha],[beta];[phi]] is a Banach space without the isomorphism in Theorem 13.
where [a.sub.n], [b.sub.n] are braid-like isomorphisms and [c.sub.n], [d.sub.n], [e.sub.n] are special isomorphisms (see [7] for the meaning of [e.sub.n] being special).
We have also discussed weak isomorphism, co- weak isomorphism and isomorphism here.
Since Nuc(A) and Sub(A) are complete lattices (see Proposition 13 and Proposition 27), all posets in the above corollary are actually complete lattices and all isomorphisms are isomorphisms of complete lattices.
Everyday relations between organizational actors in processes of competition, conflict, negotiation and exercise of power interfere in the definition and redefinition of the institutional structure and the existing isomorphisms (Bourdieu & Wacquant, 1992; Jepperson, 1991), resulting in the construction of a negotiated environment (Bataglia, Franklin, Caldeira, & Silva, 2009).
Let X and Y be a SU-algebra, then we say that X isomorphic Y (X [congruent to] Y) if we have f : X [right arrow] Y which f is an isomorphism.
Proof: If S [equivalent equal to] S' then for each of the generating relations an isomorphism can easily be constructed, so we will focus on the other direction.
Anchored vector bundles, connections and almost Lie structures of higher order, as well as isomorphisms of the vector bundles [xi](r) and [[eta].sup.(r)] for r = 1, 2, depending on the almost Lie structures, are considered in the second section.
The inverse of this isomorphism is the mapping: h [right arrow] [n.summation over (1)] [g.sub.i] [??] ([f.sub.i] [??] h)
In particular, we describe the case of students who recognized isomorphisms between and among two problem situations and who used particular features of the problems to explain Pascal's Identity.