💡 Words with a Similar Meaning to "Hyperfield"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| semifieldnoun | Synonym of hemifield (“half of the field of vision”). |
| field of quotientsnoun | (algebra) A field all of whose elements can be represented as ordered pairs each of whose components belong to a given integral domain, such that the second component is non-zero, and so that the additive operator is defined like so: (a,b)+(a',b')=(ab'+a'b,bb'), the multiplicative operator is defined coordinate-wise, the zero is (0,1), the unity is (1,1), the additive inverse of (a,b) is (-a,b), equivalence is defined like so: (a,b)≡(a',b') if and only if ab'=a'b, and multiplicative inverse of a non-zero–equivalent element (a,b) is (b,a). |
| topological fieldnoun | (mathematics) A field that is also a topological space in which addition and multiplication are both continuous. |
| quasifieldnoun | (mathematics) An algebraic structure (Q,+,·) where + and · are binary operations on Q, much like a division ring, but with some weaker conditions. |
| algebra over a fieldnoun | (algebra) An algebra over a ring such that the ring is in fact a field. As a module over a field, such an algebra is in particular a vector space. |
| vector fieldnoun | (differential geometry) a function which associates, to each point on a surface, a vector in the tangent plane of that point |
| hardy fieldnoun | (mathematics) A field consisting of germs of real-valued functions at infinity that are closed under differentiation. |
| hypermatrixnoun | (mathematics) A generalization of a matrix to a multidimensional array |
| multivaluednessnoun | (mathematics) The property of being multivalued. |
| presemifieldnoun | (mathematics, algebra) A finite algebra satisfying all the axioms for a skew field except multiplicative associativity and the existence of a multiplicative identity. |
| multifunctionnoun | (mathematics) A multivalued function. |
| finite fieldnoun | (algebra) Synonym of Galois field. |
| hypergroupnoun | (mathematics) Any algebraic group equipped with a hyperoperation. |
| ordered fieldnoun | (algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides. |
| hypergroupoidnoun | (mathematics) A hyperstructure with a hyperoperation. |
| prime fieldnoun | (algebra, field theory) A field that contains no proper subfields. |
| hyperstructurenoun | (architecture) A very densely populated habitat, as in arcology. |
| multialgebranoun | (mathematics) An algebra composed of a set and a family of multioperations on that set |
| dual spacenoun | (mathematics) The vector space which comprises the set of linear functionals of a given vector space. |
| fieldnoun | A land area free of woodland, cities, and towns; an area of open country. |
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