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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 ...
Darkroom manipulation is a traditional method of manipulating photographs without the use of computers. Some of the common techniques for darkroom manipulation are dodging, burning , and masking , which though similar conceptually to digital manipulations, involve physical rather than virtual techniques.
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).
Semantic completeness is the converse of soundness for formal systems. A formal system is complete with respect to tautologousness or "semantically complete" when all its tautologies are theorems, whereas a formal system is "sound" when all theorems are tautologies (that is, they are semantically valid formulas: formulas that are true under every interpretation of the language of the system ...
For example, Ansel Adams used darkroom exposure techniques to darken and lighten photographs. Other techniques include retouching using ink or paint, airbrushing, double exposure, piecing photos or negatives together in the darkroom, and scratching instant films. Software for digital image manipulation ranges from casual to professional skillsets.
The completeness of the real numbers, which implies that there are no "gaps" in the real numbers; Complete metric space, a metric space in which every Cauchy sequence converges; Complete uniform space, a uniform space where every Cauchy net in converges (or equivalently every Cauchy filter converges) Complete measure, a measure space where ...
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 .
Brainwashing [a] is the controversial idea that the human mind can be altered or controlled against a person's will by manipulative psychological techniques. [1] Brainwashing is said to reduce its subject's ability to think critically or independently, to allow the introduction of new, unwanted thoughts and ideas into their minds, [2] as well as to change their attitudes, values, and beliefs.