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An operator that has a unique self-adjoint extension is said to be essentially self-adjoint; equivalently, an operator is essentially self-adjoint if its closure (the operator whose graph is the closure of the graph of ) is self-adjoint. In general, a symmetric operator could have many self-adjoint extensions or none at all.
In functional analysis, the Friedrichs extension is a canonical self-adjoint extension of a non-negative densely defined symmetric operator. It is named after the mathematician Kurt Friedrichs . This extension is particularly useful in situations where an operator may fail to be essentially self-adjoint or whose essential self-adjointness is ...
Then F*P(D)F is essentially self-adjoint and its unique self-adjoint extension is the operator of multiplication by the function P. More generally, consider linear differential operators acting on infinitely differentiable complex-valued functions of compact support.
In field theory, a branch of algebra, a field extension / is said to be regular if k is algebraically closed in L (i.e., = ^ where ^ is the set of elements in L algebraic over k) and L is separable over k, or equivalently, ¯ is an integral domain when ¯ is the algebraic closure of (that is, to say, , ¯ are linearly disjoint over k).
Tupper's self-referential formula in Rosetta Code, implementation in several programming languages; TupperPlot, an implementation in JavaScript; Tupper self referential formula, an implementation in Python; The Library of Babel function, a detailed explanation of the workings of Tupper's self-referential formula
He then offered an impromptu self-evaluation: “All I can say is I’m a f*king God,” the employee is heard saying on the call. “I’m a f*king alpha.” ...
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Self Extracting Archive Commodore 64, Commodore 128 Commodore 64, Commodore 128 Yes SFX is a Self Extracting Archive which uses the LHArc compression algorithm. It was originally developed by Chris Smeets on the Commodore platform, and runs primarily using the CS-DOS extension for the Commodore 128.