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Nature, 1949
MR. W. L. COWLEY1 raises a point of some importance to a popular presentation of quantum theory. The understanding of the Uncertainty Principle is confused by there being two quite distinct ideas associated with the one name. Mr. Cowley's discussion of Heisenberg's uncertainty principle relates to the form of it which could be derived from the old ...
H V, STOPES-ROE, W L, COWLEY
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MR. W. L. COWLEY1 raises a point of some importance to a popular presentation of quantum theory. The understanding of the Uncertainty Principle is confused by there being two quite distinct ideas associated with the one name. Mr. Cowley's discussion of Heisenberg's uncertainty principle relates to the form of it which could be derived from the old ...
H V, STOPES-ROE, W L, COWLEY
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Relativistic generalized uncertainty principle
Annals of Physics, 2019 The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for testing the ...
Vasil Todorinov +2 more
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Half-Life and the Uncertainty Principle
Problems of Information Transmission, 2023An attempt is made to give an accurate mathematical interpretation of the energy–time uncertainty relation.
E. N. Petrova, Sergey A. Pirogov
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An uncertainty principle for quaternion Fourier transform [PDF]
Computers and Mathematics With Applications, 2008 We review the quaternionic Fourier transform(QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT.This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion ...
Mawardi Bahri +2 more
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Uncertainty Principle on Graphs
2018Graph Signal Processing (GSP) is a mathematical framework that aims at extending classical Fourier harmonic analysis to irregular domains described using graphs. Within this framework, authors have proposed to define operators (e.g. translations, convolutions) and processes (e.g. filtering, sampling).
Pasdeloup, Bastien +3 more
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The Uncertainty Principle in Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1984The uncertainty principle is recognized as one of the fundamental results in signal processing. Its role in inference is, however, less well known outside of quantum mechanics. It is the aim of this paper to provide a unified approach to the problem of uncertainty in image processing.
Roland Wilson, Gösta H. Granlund
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SIAM Journal on Mathematical Analysis, 1984
On estime, à l'aide de certaines normes locales, la différence \(\hat f\)-ĝ des transformées de Fourier des fonctions f et g, f étant à support compact. Ceci permet la construction d'approximations locales effectives de \(\hat g\) par de telles fonctions \(\hat f\), tandis que le principe d'incertitude ne donne que des approximations globales.
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On estime, à l'aide de certaines normes locales, la différence \(\hat f\)-ĝ des transformées de Fourier des fonctions f et g, f étant à support compact. Ceci permet la construction d'approximations locales effectives de \(\hat g\) par de telles fonctions \(\hat f\), tandis que le principe d'incertitude ne donne que des approximations globales.
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Uncertainty principle and uncertainty relations
Foundations of Physics, 1985It is generally believed that the uncertainty relation Δq Δp≥1/2ħ, where Δq and Δp are standard deviations, is the precise mathematical expression of the uncertainty principle for position and momentum in quantum mechanics. We show that actually it is not possible to derive from this relation two central claims of the uncertainty principle, namely, the
J. B. M. Uffink, J. Hilgevoord
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A medical uncertainty principle
The American Journal of Gastroenterology, 2001Acquisition of diagnostic knowledge and improvement of patient health often are mutually exclusive goals. A perfect understanding of a disease process is only obtained through unrestricted testing that exposes the patient to adverse events and discomfort.
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