homology
suomi-englanti sanakirjahomology englannista suomeksi
homologia
Substantiivi
homology englanniksi
The relationship of being homologous; a homologous relationship.
specifically, such relationship in the context of the geometry of perspective.
1863, (w), ''A Treatise on Conic Sections'', (w), 4th Edition, page 61,
- Two triangles are said to be ''homologous'', when the intersections of the corresponding sides lie on the same right line called the ''axis of homology'': prove that the lines joining the corresponding vertices meet in a point called the ''centre of homology''.
1885, Charles Leudesdorf (translator), (w), ''Elements of Projective Geometry'', (w) (Clarendon Press), page 11,
- Two corresponding straight lines therefore always intersect on a fixed straight line, which we may call ''s''; thus the given figures are in homology, ''O'' being the centre, and ''s'' the axis, of homology.
An automorphism of the plane (representing a projection) that leaves all the points of some straight line (the ''axis'') fixed and maps all the lines through some single point (the ''centre'') onto themselves.Homology on (w)
(ux)
A general way of associating a sequence of algebraic objects, such as groups or modules, to a sequence of spaces; ''also used attributively: see Usage notes below''.
{{quote-book|en|year=2000|author=Sibe Mardešić|title=Strong Shape and Homology|pageurl=https://books.google.com.au/books?id=V2hJgl94SmIC&pg=PR5&dq=%22homology%22%7C%22homologies%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwjSi_bTxIDtAhU-4XMBHWPMAEsQ6AEwCXoECFsQAgv=onepage&q=%22homology%22%7C%22homologies%22&f=false|page=v|publisher=Springer
{{quote-book|en|year=2002|author=Nikolai Saveliev|title=Invariants of Homology 3-Spheres|pageurl=https://books.google.com.au/books?id=hUZmqAfaX6AC&pg=PA2&dq=%22homology%22%7C%22homologies%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwjSi_bTxIDtAhU-4XMBHWPMAEsQ6AEwBHoECF8QAgv=onepage&q=%22homology%22%7C%22homologies%22&f=false|page=2|publisher=Springer
Given a complex {''Gn''} and its associated set of homomorphisms {''Hn''}, the rule which explains how each ''Hn'' maps ''Gn'' into the kernel of ''G''''n''+1.
The relationship, between elements, of being in the same group of the table.
The relationship, between compounds, of being in the same series.
(senseid) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin; specifically, a correspondence between structures in separate forms having a common evolutionary origin, such as that between mammalian flippers and hands.
(cot)
2000, Julie A. Hawkins, ''Chapter 2: A survey of primary homology assessment'', Robert Scotland, R. Toby Pennington (editors), ''Homology and Systematics'', Taylor & Francis, (w), page 22,
- The objective of this study is to classify approaches to primary homology assessment, and to quantify the extent to which different approaches are found in the literature by examining variation in the ways characters are defined and coded in a data matrix.
The presence of the same series of bases in different but related genes.
The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.