homologous

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homologous

, homological, homologic
1. Chem (of a series of organic compounds) having similar characteristics and structure but differing by a number of CH2 groups
2. Med
a. (of two or more tissues) identical in structure
b. (of a vaccine) prepared from the infecting microorganism
3. Biology (of organs and parts) having the same evolutionary origin but different functions
4. Maths (of elements) playing a similar role in distinct figures or functions

homologous

[hə′mäl·ə·gəs]
(biology)
Pertaining to a structural relation between parts of different organisms due to evolutionary development from the same or a corresponding part, such as the wing of a bird and the pectoral fin of a fish.
(geology)
Referring to strata, in separated areas, that are correlatable (contemporaneous) and are of the same general character or facies, or occupy analogous structural positions along the strike.
Pertaining to faults, in separated areas, that have the same relative position or structure.
References in periodicals archive ?
We show that the difference of the 2 curves of genus 4 corresponding to these points of the fiber is a 1-cycle [Z.sub.Y] on A that is homologically but not algebraically equivalent to 0.
The difference of the two corresponding genus 4 curves, seen in the group [CH.sup.2](A) of the cod2 cycles of A, gives our 1-cycles, that we will show to be homologically but not algebraic equivalent to 0.
Denote by [CH.sup.2](A) the Chow group of the cycles of codimension 2, [CH.sub.2][(A).sub.hom] the subgroup of [CH.sup.2](A) of the cycles homologically equivalent to 0, [CH.sup.2][(A).sub.alg] the subgroup of the cycles algebraically equivalent to 0 and [CH.sup.2][(A).sub.tran] the subgroup generated by the cycles: Z - [[tau].sup.*]Z [for all]Z [element of] [CH.sup.2](A) [[for all].sub.[tau]] translation in A.
[MATHEMATICAL EXPRESSION OMITTED] is homologically equivalent to 0.
The crucial observation is that, because [p.sub.2] is dominant, the family [[psi].sub.H1]([C.sub.H1])-[[psi].sub.H2]([C.sub.H2]) defines a cycle homologically equivalent to 0 on the threefold corresponding to the generic point of [A.sub.3](N).
The cycle [C] - [[C.sup.-]] [element of] [T.sup.2](J(C)) globalizes to a family of cycles: C - [C.sup.-] homologically equivalent to 0, defined modulo translation, on J(C) = [[pi].sup.*] A.