In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

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...

and 93 "Compositum", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Roman, p. 42. Roman, Steven (2006). Field Theory. GTM. Vol. 158. New York: Springer-Verlag...

Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields....

engineering, economics, and mathematics); adds economics as a field STEMIE (science, technology, engineering, mathematics, invention, and entrepreneurship);...

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...

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...

In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ p q {\displaystyle {\tfrac {p}{q}}} ⁠ of two integers...

In mathematics, a ground field is a field K fixed at the beginning of the discussion. It is used in various areas of algebra: In linear algebra, the concept...

In mathematics, specifically the area of algebraic number theory, a cubic field is an algebraic number field of degree three. If K is a field extension...

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...

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...

of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased...

Look up near-field in Wiktionary, the free dictionary. Near field may refer to: Near-field (mathematics), an algebraic structure Near-field region, part...

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...

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...

Mathematical Physics defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such...

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

mathematics, a quasi-finite field is a generalisation of a finite field. Standard local class field theory usually deals with complete valued fields whose...

There are various mathematical descriptions of the electromagnetic field that are used in the study of electromagnetism, one of the four fundamental interactions...

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...

field, assignment of a tensor to each point in a mathematical space Vector field, assignment of a vector to each point in a mathematical space Field of...

In mathematics, a pseudo-finite field F is an infinite model of the first-order theory of finite fields. This is equivalent to the condition that F is...

In mathematics, an exponential field is a field with a further unary operation that is a homomorphism from the field's additive group to its multiplicative...

In mathematics, a Euclidean field is an ordered field K for which every non-negative element is a square: that is, x ≥ 0 in K implies that x = y2 for some...

In mathematics, a field K is called a non-Archimedean local field if it is complete with respect to a metric induced by a discrete valuation v and if its...

In mathematics, a quadratically closed field is a field of characteristic not equal to 2 in which every element has a square root. The field of complex...

In mathematics, a field F is called quasi-algebraically closed (or C1) if every non-constant homogeneous polynomial P over F has a non-trivial zero provided...

In mathematics, in particular in field theory and real algebra, a formally real field is a field that can be equipped with a (not necessarily unique)...