Isomorphism

What do we mean by isomorphism?

Similarity in form, as in organisms of different ancestry. noun

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. noun

A close similarity in the crystalline structure of two or more substances of similar chemical composition. noun

A similarity of crystalline form: as, between substances of analogous composition or atomic proportions, as the members of a group of compounds like the sulphates of barium, strontium, and lead noun

Between compounds of unlike composition or atomic proportions. noun

In biology, the state or condition of being different in ancestry, but alike in appearance. See isomorphic, 2 . noun

In group-theory, the state or character of being isomorphic. noun

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. noun

A one-to-one mapping of one set onto another set which preserves the relations between the elements of the domains of the sets. noun

Similarity of form noun

(biology) similarity or identity of form or shape or structure noun

Here you will find one or more explanations in English for the word isomorphism. Define isomorphism, isomorphism synonyms, isomorphism pronunciation, isomorphism translation, English dictionary definition of isomorphism.

Abstract algebra: Take a group G, and a group H, with a group operation *. G is isomorphic to H if there exist a map f: G->H such that: 1: f is injective 2: f is surjective 3: f(a*b)=f(a)*f(b) for all a,b in G If f satisfies these three properties, f is called an isomorphism. Urban Dictionary

A JavaScript application which can be executed in both a browser and a non-browser runtime. This was the first term used to describe this concept, but "Universal JavaScript" now has wider acceptance. Mathematicians and functional programmers will scoff at you if you use "isomorphic" to describe JavaScript, so save face by using "universal" instead. Urban Dictionary

Words that are spelled similarly to isomorphism:
isomorphism, isomorphic, zoomorphism, isodimorphism, isomorphs, biomorphism, mesomorphism, idiomorphism, isomorphisms.

Words that are triggered by (strongly associated with) the word isomorphism:
bijection, isomorphic, sheaves, cotangent, pullback, abelian, sheaf, homology, commutative, equivalence, bilinear, adjoint, hom, quaternion, transpose, cardinality, quotient, divisor, projective, separable, irreducible, multiplicative, countable, modulo, theorem, tangent, duality, affine, algebra, bundle, psl, conjecture, embedding, bernoulli, inverse, canonical, graph, algebraic, boolean, finite, lemma, permutation, subgroup, vector, trivial, tensor, elliptic, reciprocity, polynomial, manifold, symmetric, weil, topology, integers, induced, generalization, riemann, vertex, multiplication, recursive, spaces, lattice, quadratic, vertices, formula, matrices, cyclic, converse, axioms, invariant, decomposition, maximal, suppose, hodge, denoted, commute, unitary, module, corresponds, precisely, dimension, generalized, linear, additive, euclidean, dual, diagram, classes, homogeneous, map, define, mapping, lie, maps, lambda, pairing, denotes, subset, infinite, rational.

Words that rhyme with isomorphism:
anthropomorphism, orphism, dimorphism, dwarfism, morphism.

Adjectives that are often used to describe isomorphism:
institutional, structural, mimetic, coercive, natural, normative, intensional, partial, organizational, complete, local, order, psychophysical, simple, functional, non, perfect, strict, formal, linear, canonical, subgraph, unique, mathematical, true, competitive, graph, anti, topological, assumed, quasi, logical, exact, psychological, spatial, desired, weak, necessary, isometric, apparent, extensional, imperfect, explicit, obvious, required, limited, striking, conceptual, semantic, presumed, intentional, polymeric, above, analytic, symbolic, close, dual, continuous, correcting, unitary, global, observed, temporal, perceptual, called, recursive, brain, synonymous, abstract, nomic, remarkable, behavioral, syntactic, stable, level.

Words that sound like isomorphism:
isomorphism, isomerism, anamorphism, dimorphism, zoomorphism, amorphism, isomorphic, centrism, samaritan, samarium.