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field
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.
The best known fields are the field of rational numbers, the field of real numbers and the field of complex numbers. Many other fields, such as fields of rational functions, algebraic function fields, algebraic number fields, and p-adic fields are commonly used and studied in mathematics, particularly in number theory and algebraic geometry. Most cryptographic protocols rely on finite fields, i.e., fields with finitely many elements.
The relation of two fields is expressed by the notion of a field extension. Galois theory, initiated by Évariste Galois in the 1830s, is devoted to understanding the symmetries of field extensions. Among other results, this theory shows that angle trisection and squaring the circle cannot be done with a compass and straightedge. Moreover, it shows that quintic equations are, in general, algebraically unsolvable.
Fields serve as foundational notions in several mathematical domains. This includes different branches of mathematical analysis, which are based on fields with additional structure. Basic theorems in analysis hinge on the structural properties of the field of real numbers. Most importantly for algebraic purposes, any field may be used as the scalars for a vector space, which is the standard general context for linear algebra. Number fields, the siblings of the field of rational numbers, are studied in depth in number theory. Function fields can help describe properties of geometric objects.
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Field grades have yellow barrack numbers. Add $90 if you want a winchester trigger pack installed (the field grades currently have the winchester trigger packs)
Service grades have cmp wood in very good condition...
For sale is a hard to find Holosun 512C. This sight is packed with features. Wide field of view, similar to an eotech, but fully enclosed, switchable 2 moa red dot or circle dot reticle, up to 50,000 hours battery life, solar panel backup, shake awake auto on, extremely durable. Sight is in...
For sale or trade Charles Daly model 600 Field shotgun 20ga. black. Comes with modified and improved cylinder chokes and choke key. Will sell for trade for cash, H4831, H4895, .270/.308 Sierra Gamking bullets. Make me a reasonable offer and I will give you a reasonable deal. You pay fees at FFL...