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Analysis of polarization characteristics of freeform surface optical system [PDF]
ITM Web of Conferences, 2022 Freeform surfaces are widely used in off-axis optical systems with large aperture, large field of view, and long focal length. The polarization effect caused by the non-rotationally symmetrical shape has an impact on the system’s polarization imaging ...
Zhang Yilan, Shi Haodong, Jiang Huilin
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Results in Physics, 2022 The absorption of linearly polarized light by 133Cs atoms is desired to be well known in many applications of atomic physics. For implementing this requirement, a simplified analytical form for the absorption of linearly polarized light by 133Cs atoms ...
Zhichao Ding, Jie Yuan
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Study of Polarized Structure Functions of 3He and 3H in NNLO Approximation [PDF]
مجله علوم و فنون هستهای, 2018 Experiments utilizing the deep inelastic scattering of leptons from nucleons have been one of the modern tools to understand the complex structure of nucleons in recent and future lepton and hadron colliders.
H Khanpour +2 more
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Polar Codes: Speed of Polarization and Polynomial Gap to Capacity [PDF]
2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 2013 We prove that, for all binary-input symmetric memoryless channels, polar codes enable reliable communication at rates within $ε> 0$ of the Shannon capacity with a block length, construction complexity, and decoding complexity all bounded by a {\em polynomial} in $1/ε$.
Venkatesan Guruswami, Patrick Xia 0001
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Some Bounds for the Polar Derivative of a Polynomial [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 The polar derivative of a polynomial p(z) of degree n with respect to a complex number α is a polynomial np(z)+α-zp′(z), denoted by Dαp(z). Let 1≤R≤k. For a polynomial p(z) of degree n having all its zeros in z≤k, we investigate a lower bound of modulus of Dαp(z) on z=R.
Jiraphorn Somsuwan +1 more
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Sensors, 2021 An improved spectral reflectance estimation method was developed to transform captured RGB images to spectral reflectance. The novelty of our method is an iteratively reweighted regulated model that combines polynomial expansion signals, which was ...
Zhen Liu +6 more
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On Length of Boolean Functions of a Small Number of Variables in the Class of Pseudo-Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2020 Minimization of Boolean functions in their various representations is required in logic design of digital devices. EXOR sums (polynomial forms) are considered among other representations.
S.N. Selezneva, A. A. Lobanov
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An Algorithm for Minimization of Boolean Functions in the Class of Toffoli Reversible Logic Circuits [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 In this paper, the problem of Boolean function's representation by the reversible circuits constructed of the Toffoli gates is considered. Interest in this problem is connected with actual studies of the possibility for realization of "cold" computations.
A.S. Frantseva
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Polynomials with polar derivatives [PDF]
Functiones et Approximatio Commentarii Mathematici, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mir, Abdullah, Wani, Ajaz
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Sensors, 2020 Micro absolute distance measurement (MADM) is widely used in industrial and military fields. To achieve high accuracy and frequency response, a polarized low-coherence interferometry (PLCI)-based method for MADM is proposed.
Xun Sun +5 more
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