Oliy matematikaga oid // О высшей математике

Open AI Ўзбекистон учун Chat GPT’га рухсат берди Сунъий интеллектга асосланган сўровлар бўйича маълумот берувчи ChatGPT хизмати ўзбекистонлик фойдаланувчилар учун очилди. Бундан аввал мазкур хизматдан фақат VPN воситасида чет эл рақамлари орқали рўйхатдан ўтиш мумкин эди. Эндиликда Ўзбекистондаги алоқа операторлари рақамлари орқали ҳам рўйхатдан ўтиш мумкин бўлди. @pressuzb

Visual Group Theory, Lecture 6.2: Field automorphisms A field automorphism is a structure preserving map from a field F to itself. This means that it must be both a homomorphism of both the addtive group (F,+) and the multiplicative group (F-{0},*). We show that any automorphism of an extension of the rationals Q must fix Q element-wise. The set of automorphisms of a field F forms a group called the Galois group, denoted Gal(F). We see several examples of this, and look into an intriguing connection between the subfield lattice of F and the subgroup lattice of Gal(F). Course webpage (with lecture notes, HW, etc.): http://www.math.clemson.edu/~macaule/math4120-online.html