A similarity of crystalline form between substances of similar composition, as between the sulphates of barium (BaSO4) and strontium (SrSO4). It is sometimes extended to include similarity of form between substances of unlike composition, which is more properly called homœomorphism.
A one-to-one mapping of one set onto another set which preserves the relations between the elements of the domains of the sets.
a state (or a quality) of being identical or similar in form, shape, or structure; example: crystalline forms of similar composition.
Isomorphism is the existence of two or more substances that have the same crystal structure, so that they form solid solutions.
A mapping between mathematical strucures of the same type that preserves the structure and is both injective (1-to-1) and surjective (onto). Isomorphic objects are essentially the same with respect to the preserved structure.
Relationship between parties' frames when they are basically the same - i.e. have the same underlying structure - but may be described differently because of parties' differing perspectives and value systems.
(biology) similarity or identity of form or shape or structure
a bijective continuous map that commutes with the shift operation on bi infinite words
a homomorphism which is also a bijection (one-to-one and onto)
a linear map that is one-to-one and onto
an information preserving transformation
a one-to-one and onto mapping between anatomical structures at a given granularity (in this case, Organ level) across species
a one-to-one onto mapping which has an inverse and is order preserving in the sense that any relation the holds in the first structure holds for the images of the objects mapped into the second structure
a structure preserving one-to-one mapping
Having the same crystal form, meaning that the molecular arrangement is identical, except for the fact that different elements are present. If two minerals are isomorphous to each other, than they contain different elements arranged in the same arrangement and number, such as Calcite (CaCO3) and Siderite (FeCO3).
An isomorphism is a one-to-one correspondence between the elements of two or more sets that preserves the structural properties of the domain.
In mathematics, an isomorphism (Greek:isos "equal", and morphe "shape") is a bijective map f such that both f and its inverse f −1 are homomorphisms, i.e. structure-preserving mappings.
In sociology, an isomorphism is a similarity of the processes or structure of one organization to those of another, be it the result of imitation or independent development under similar constraints. There are three main types of isomorphism: normative, coercive and mimetic.
In biology, an isomorphism is a similarity of form or structure between organisms. The term isomorphism is borrowed from mathematical usage, where it refers to a one-to-one mapping between the elements of two sets. Biologists generally use the term to characterize a relationship between organisms with independent ancestries, e.g. after convergent evolution.
In computer science, an isomorphism is a strict one-to-one correspondence between two sets of entities. This usage is a generalization of the more rigorous mathematical concept of isomorphism; most computer science isomorphisms would be called bijections by mathematicians.