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On the meaning of gauge invariance

Il Nuovo Cimento, 1962
The role of the gauge invariance is analysed. Such an invariance guarantees that the given vector field (of electromagnetic or Yang-Mills kind) describes spin 1 only. Contrary to the statement of many authors (1–13) it is shown that the requirement of the gauge invariance cannot be a principle for obtaining nontrivial interactions and for deducing the ...
Ogievetski, V. I., Polubarinov, I. V.
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Illumination invariant Mean-shift tracking

2013 IEEE Workshop on Applications of Computer Vision (WACV), 2013
Visual tracking is a critical task in surveillance and activity analysis. One of the major issues in visual target tracking is variations in illumination. In this paper, we propose a novel algorithm based on discrete cosine transform (DCT) to handle illumination variations, since illumination variations are mainly reflected in the low-frequency band ...
Gargi S. Phadke, Rajbabu Velmurugan
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Invariance, Symmetry and Meaning

Foundations of Physics, 2000
The role of the concept of invariance in physics and geometry is analyzed, with attention to the closely connected concepts of symmetry and objective meaning. The question of why the fundamental equations of physical theories are not invariant, but only covariant, is examined in some detail.
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A Rotational Invariant Non-local Mean

2015
The image restoration and noise reduction are used to improve image quality and to develop more robust and high performance algorithms to solve denoising problems in the image processing. Every approach has their own limitations and more practicable properties with the specific conditions.
Rassulzhan Poltayev, Byung-Woo Hong
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Invariant Means on Semigroups

2019
Let S be a semigroup, that is, a set endowed with an associative product $$(s, t)\mapsto st.$$ We consider the (real) Banach space of all real-valued bounded functions on S, namely, $$\ell ^\infty (S)=\Big \{f:S\rightarrow {\mathbb R}\,\,\,\text { such that}\,\,\,\Vert f\Vert \doteq \sup _{s\in S}|f(s)|
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Invariant means on double coset spaces

Periodica Mathematica Hungarica, 2017
For a locally compact group \(G\) and a compact subgroup \(K\), the author introduces the definition of a \(K\)-invariant mean: it is a continuous positive linear functional \(M\) on the space \({\mathcal BC}(G//K)\), with \(M(1)=1\), which is invariant by the \(K\)-translation operators \(\tau_y\) (\(y\in G\)): \[ \tau_yf(x)=\int_K f(ykx)dk ...
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There is at most one continuous invariant mean

Aequationes Mathematicae, 2022
Paweł Pasteczka, Pasteczka Paweł
exaly  

Different Types of Invariant Means

Journal of the London Mathematical Society, 1981
Rosenblatt, Joseph, Talagrand, Michel
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Mean-square invariant manifolds for ill-posed stochastic evolution equations driven by nonlinear noise

Journal of Differential Equations, 2022
Caibin Zeng   +2 more
exaly  

On Invariant Means which are not Inversion Invariant

Journal of the London Mathematical Society, 1979
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