uncertainty$86541$ - перевод на итальянский
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uncertainty$86541$ - перевод на итальянский

IN INFORMATION THEORY, THE SUM OF THE TEMPORAL AND SPECTRAL SHANNON ENTROPIES
Hirchman uncertainty; Hirschman uncertainty

uncertainty      
n. insicurezza, incertezza, dubbio; incerto
Fear Uncertainty and Doubt         
TACTIC USED TO INFLUENCE OPINION BY DISSEMINATING NEGATIVE, DUBIOUS, OR FALSE INFORMATION
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Timore Incertezza e Dubbio (termini usati da Gene Amdahl per criticare la società IBM sostenendo che questa si acquisisce clienti intimidendoli)
Fear Uncertainty Doubt         
TACTIC USED TO INFLUENCE OPINION BY DISSEMINATING NEGATIVE, DUBIOUS, OR FALSE INFORMATION
Fear, Uncertainty, and Doubt; Fear, Uncertainty and Doubt; FUD factor; Fear, Uncertainty, Doubt; Fear, uncertainty, doubt; FUD; Fear uncertainty and doubt; Fear, uncertainty and doubt; FUD tactics; FUD tactic; FUD campaign; FUD war; FUD monger; Fears, uncertainties, and doubts; Fears, uncertainties and doubts; Fears, Uncertainties, and Doubts; Fears, Uncertainties and Doubts; Fears, uncertainties, doubts; Fears, Uncertainties, Doubts; Doubt, fear, and uncertainty; Doubt, fear and uncertainty; Doubt, Fear, and Uncertainty; Doubt, Fear and Uncertainty; Doubt, fear, uncertainty; Doubt, Fear, Uncertainty; Doubts, fears, uncertainties; Doubts, Fears, Uncertainties; Doubts, fears, and uncertainties; Doubts, fears and uncertainties; Doubts, Fears, and Uncertainties; Doubts, Fears and Uncertainties; Fear, uncertainty, and disinformation; Fear, uncertainty and disinformation; Fear, Uncertainty, and Disinformation; Fear, Uncertainty and Disinformation; Fear, uncertainty, disinformation; Fear, Uncertainty, Disinformation; Fear, uncertainty, and despair; Fear, uncertainty and despair; Fear, Uncertainty, and Despair; Fear, Uncertainty and Despair; Fear, uncertainty, despair; Fear, Uncertainty, Despair; Fear, uncertainty, doubt, and despair; Fear, Uncertainty, Doubt, and Despair; Fear, uncertainty, doubt and despair; Fear, Uncertainty, Doubt and Despair; Fear, uncertainty, doubt, despair; Fear, Uncertainty, Doubt, Despair; FUDD; Nobody ever got fired for buying IBM; Nobody ever got fired for buying an IBM; Nobody ever got fired for buying IBM equipment; Fear uncertainty doubt
"timore, incertezza, dubbio" (tecnica di vendita che consiste nell"incutere timore, incertezza e dubbio del cliente per convincerlo ad acquistare un prodotto), FUD

Определение

uncertainty principle
¦ noun Physics the principle, stated by Werner Heisenberg, that the momentum and position of a particle cannot both be precisely determined at the same time.

Википедия

Entropic uncertainty

In quantum mechanics, information theory, and Fourier analysis, the entropic uncertainty or Hirschman uncertainty is defined as the sum of the temporal and spectral Shannon entropies. It turns out that Heisenberg's uncertainty principle can be expressed as a lower bound on the sum of these entropies. This is stronger than the usual statement of the uncertainty principle in terms of the product of standard deviations.

In 1957, Hirschman considered a function f and its Fourier transform g such that

g ( y ) exp ( 2 π i x y ) f ( x ) d x , f ( x ) exp ( 2 π i x y ) g ( y ) d y   , {\displaystyle g(y)\approx \int _{-\infty }^{\infty }\exp(-2\pi ixy)f(x)\,dx,\qquad f(x)\approx \int _{-\infty }^{\infty }\exp(2\pi ixy)g(y)\,dy~,}

where the "≈" indicates convergence in L2, and normalized so that (by Plancherel's theorem),

| f ( x ) | 2 d x = | g ( y ) | 2 d y = 1   . {\displaystyle \int _{-\infty }^{\infty }|f(x)|^{2}\,dx=\int _{-\infty }^{\infty }|g(y)|^{2}\,dy=1~.}

He showed that for any such functions the sum of the Shannon entropies is non-negative,

H ( | f | 2 ) + H ( | g | 2 ) | f ( x ) | 2 log | f ( x ) | 2 d x | g ( y ) | 2 log | g ( y ) | 2 d y 0. {\displaystyle H(|f|^{2})+H(|g|^{2})\equiv -\int _{-\infty }^{\infty }|f(x)|^{2}\log |f(x)|^{2}\,dx-\int _{-\infty }^{\infty }|g(y)|^{2}\log |g(y)|^{2}\,dy\geq 0.}

A tighter bound,

was conjectured by Hirschman and Everett, proven in 1975 by W. Beckner and in the same year interpreted as a generalized quantum mechanical uncertainty principle by Białynicki-Birula and Mycielski. The equality holds in the case of Gaussian distributions. Note, however, that the above entropic uncertainty function is distinctly different from the quantum Von Neumann entropy represented in phase space.