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The real numbers can be defined synthetically as an ordered field satisfying some version of the completeness axiom.Different versions of this axiom are all equivalent in the sense that any ordered field that satisfies one form of completeness satisfies all of them, apart from Cauchy completeness and nested intervals theorem, which are strictly weaker in that there are non Archimedean fields ...
Video manipulation is a type of media manipulation that targets digital video using video processing and video editing techniques. The applications of these methods range from educational videos [ 1 ] to videos aimed at ( mass ) manipulation and propaganda , a straightforward extension of the long-standing possibilities of photo manipulation .
Redefining events to downplay their significance can be an effective way of preserving one's self-esteem. [12] One of the problems of depression (found in those with clinical, bipolar, and chronic depressive mood disorders, as well as cyclothymia) is the tendency to do the reverse: minimising the positive, discounting praise, [13] and dismissing one's own accomplishments. [14]
Video manipulation is a variant of media manipulation that targets digital video using a combination of traditional video processing and video editing techniques and auxiliary methods from artificial intelligence like face recognition. In typical video manipulation, the facial structure, body movements, and voice of the subject are replicated ...
In computability theory, a system of data-manipulation rules (such as a model of computation, a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if it can be used to simulate any Turing machine [1] [2] (devised by English mathematician and computer scientist Alan Turing).
Completeness (order theory), a notion that generally refers to the existence of certain suprema or infima of some partially ordered set; Complete variety, an algebraic variety that satisfies an analog of compactness; Complete orthonormal basis—see Orthonormal basis#Incomplete orthogonal sets; Complete sequence, a type of integer sequence ...
Completeness occurs in the Lehmann–Scheffé theorem, [1] which states that if a statistic that is unbiased, complete and sufficient for some parameter θ, then it is the best mean-unbiased estimator for θ.
The techniques used to win the minds of crowds were examined and developed notably by Quintilian in his training book, Institutio oratoria and by Aristotle in Rhetoric. Known origins of crowd manipulation go as far back as the 5th century BC, where litigants in Syracuse sought to improve their persuasiveness in court. [9] [10]