In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on... 87 KB (10,335 words) - 00:50, 14 March 2024 |
and their fields of application. The contemporary Mathematics Subject Classification lists more than sixty first-level areas of mathematics. The word... 167 KB (16,258 words) - 04:40, 30 April 2024 |
A composite field or compositum of fields is an object of study in field theory. Let L be a field, and let F, K be subfields of L. Then the (internal)... 1 KB (155 words) - 18:10, 22 October 2023 |
Rational number (redirect from Rational field) algebraic number fields, and the algebraic closure of Q {\displaystyle \mathbb {Q} } is the field of algebraic numbers. In mathematical analysis, the rational... 24 KB (3,494 words) - 12:24, 28 April 2024 |
In mathematics, a near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws. Alternatively... 12 KB (1,726 words) - 22:14, 5 November 2023 |
Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields.... 90 KB (4,917 words) - 17:04, 1 May 2024 |
In mathematics, a field F is algebraically closed if every non-constant polynomial in F[x] (the univariate polynomial ring with coefficients in F) has... 13 KB (1,673 words) - 09:47, 2 March 2024 |
karst topography Field (mathematics), type of algebraic structure Number field, specific type of the above algebraic structure Scalar field, assignment of... 5 KB (668 words) - 14:48, 21 March 2023 |
Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,... 21 KB (2,163 words) - 14:59, 13 April 2024 |
Mathematics is a field of study that investigates topics such as number, space, structure, and change. Definitions of mathematics – Mathematics has no... 16 KB (1,429 words) - 13:22, 23 April 2024 |
Characteristic (algebra) (redirect from Characteristic of a field) In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest positive number of copies of the ring's multiplicative... 10 KB (1,266 words) - 15:15, 15 April 2024 |
In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of... 21 KB (2,974 words) - 05:47, 20 April 2024 |
In mathematics, the field trace is a particular function defined with respect to a finite field extension L/K, which is a K-linear map from L onto K. Let... 10 KB (1,555 words) - 14:56, 19 March 2023 |
Look up near-field in Wiktionary, the free dictionary. Near field may refer to: Near-field (mathematics), an algebraic structure Near-field region, part... 782 bytes (122 words) - 17:44, 19 May 2022 |
limited to work in a particular field, such as topology or analysis, while others are given for any type of mathematical contribution. "CRM-SSC Prize in... 39 KB (162 words) - 21:46, 9 April 2024 |
Cambridge Studies in Advanced Mathematics, vol. 8 (2nd ed.) Serre, Jean-Pierre (1979), Local fields, Graduate Texts in Mathematics, vol. 67 (2 ed.), Springer-Verlag... 8 KB (1,103 words) - 11:50, 24 January 2024 |
In mathematics, an algebraic function field (often abbreviated as function field) of n variables over a field k is a finitely generated field extension... 7 KB (914 words) - 17:44, 21 April 2022 |
Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for... 16 KB (2,063 words) - 21:47, 28 October 2023 |
coordinate vector space. Many vector spaces are considered in mathematics, such as extension fields, polynomial rings, algebras and function spaces. The term... 10 KB (2,010 words) - 16:02, 9 April 2024 |
In mathematics, a field K is called a (non-Archimedean) local field if it is complete with respect to a topology induced by a discrete valuation v and... 12 KB (1,670 words) - 11:06, 18 February 2024 |
In field theory, a branch of mathematics, the minimal polynomial of an element α of an extension field of a field is, roughly speaking, the polynomial... 10 KB (1,432 words) - 22:12, 14 January 2024 |
In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and... 54 KB (5,759 words) - 17:24, 21 April 2024 |
In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are... 4 KB (540 words) - 11:07, 18 February 2024 |
In mathematics, a global field is one of two types of fields (the other one is local fields) that are characterized using valuations. There are two kinds... 8 KB (1,045 words) - 10:15, 18 February 2024 |
In mathematics, an algebraic number field (or simply number field) is an extension field K {\displaystyle K} of the field of rational numbers Q {\displaystyle... 52 KB (8,365 words) - 00:03, 7 February 2024 |