homology
同源性,同质性,同源关系,同源
Related Words
Definitions
- 1
plural ho·mol·o·gies.
- : the state of being homologous; homologous relation or correspondence.
- : Biology. a fundamental similarity based on common descent.a structural similarity of two segments of one animal based on a common developmental origin.
- : Chemistry. the similarity of organic compounds of a series in which each member differs from its adjacent compounds by a fixed increment, as by CH2.
- : Mathematics. a classification of figures according to certain topological properties.
Synonyms & Antonyms
Examples
To find all the types of holes within a particular topological shape, mathematicians build something called a chain complex, which forms the scaffolding of homology.
Mathematicians extract a shape’s homology from its chain complex, which provides structured data about the shape’s component parts and their boundaries — exactly what you need to describe holes in every dimension.
So instead, homology infers an object’s holes from its boundaries, a more precise mathematical concept.
The idea was to take the idea of homology—similarity due to shared evolutionary history—and build a predictive model of plant variation.
The modern definition of homology is quite involved, but it is roughly a means of associating to each shape a certain mathematical object.
Homology is still determined by position, by connections, in the embryo as in the adult.