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An academic discipline or field of study is known as a branch of knowledge. It is taught as an accredited part of higher education. A scholar's discipline is commonly defined and recognized by a university faculty. That person will be accredited by learned societies to which they belong along with the academic journals in which they publish ...
Pages in category "Fields of mathematics" The following 5 pages are in this category, out of 5 total. This list may not reflect recent changes. *
Finite fields (also called Galois fields) are fields with finitely many elements, whose number is also referred to as the order of the field. The above introductory example F 4 is a field with four elements. Its subfield F 2 is the smallest field, because by definition a field has at least two distinct elements, 0 and 1.
Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers. This glossary is alphabetically sorted.
Classification of Instructional Programs (CIP 2000): Developed by the U.S. Department of Education's National Center for Education Statistics to provide a taxonomic scheme that will support the accurate tracking, assessment, and reporting of fields of study and program completions activity.
Mathematics is a field of study that discovers and ... For example, in mathematics, ... which could theoretically be done automatically by a computer program. This ...
Field theory is a branch of mathematics which studies the properties of fields ... List of number fields with class number one; Local field; Lüroth's theorem; M.
For example, the rational numbers, the real numbers and the p-adic numbers have characteristic 0, while the finite field Z p with p being prime has characteristic p. Subfield A subfield of a field F is a subset of F which is closed under the field operation + and * of F and which, with these operations, forms itself a field.