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Systemic functional linguistics (SFL) is an approach to linguistics, among functional linguistics, [1] that considers language as a social semiotic system.. It was devised by Michael Halliday, who took the notion of system from J. R. Firth, his teacher (Halliday, 1961).
In topology, Urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function. [1] Urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces.
Hille was born in New York City.His parents were both immigrants from Sweden who separated before his birth. His father, Carl August Heuman, was a civil engineer.
Nakayama's lemma is used to prove a version of the inverse function theorem in algebraic geometry: Let f : X → Y {\textstyle f:X\to Y} be a projective morphism between quasi-projective varieties .
the instrumental function serves to manipulate the environment, to cause certain events to happen; the regulatory function of language is the control of events; the representational function is the use of language to make statements, convey facts and knowledge, explain, or report to represent reality as the speaker/writer sees it;
In number theory, Tate's thesis is the 1950 PhD thesis of John Tate () completed under the supervision of Emil Artin at Princeton University.In it, Tate used a translation invariant integration on the locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function, of a number field to a zeta integral and study its properties.
ALEX: I had a really hard time forcing myself to go in the room.I wasn’t going to go in. I just wouldn’t do it. My dad said, “If you don’t go in, you will regret it the rest of your life.”
The Bateman Manuscript Project was a major effort at collation and encyclopedic compilation of the mathematical theory of special functions. It resulted in the eventual publication of five important reference volumes, under the editorship of Arthur Erdélyi .