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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 ...
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.
Work on the SSMCIS program began in 1965 [3] and took place mainly at Teachers College. [9] Fehr was the director of the project from 1965 to 1973. [1] The principal consultants in the initial stages and subsequent yearly planning sessions were Marshall H. Stone of the University of Chicago, Albert W. Tucker of Princeton University, Edgar Lorch of Columbia University, and Meyer Jordan of ...
These topics are basic to the field, either as prototypical examples, or as basic objects of study. Algebraic number field. Gaussian integer, Gaussian rational; Quadratic field; Cyclotomic field; Cubic field; Biquadratic field; Quadratic reciprocity; Ideal class group; Dirichlet's unit theorem; Discriminant of an algebraic number field ...
CM-field or J-field An algebraic number field which is a totally imaginary quadratic extension of a totally real field. [6] Linked field A field over which no biquaternion algebra is a division algebra. [7] Frobenius field A pseudo algebraically closed field whose absolute Galois group has the embedding property. [8]
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. *