Gauge and Lorentz Transformation Placed on the Same Foundation by Rein Saar, Stefan Groote, Hannes Liivat, Ilmar Ots

“…As a consequence, on this stage the (electromagnetic) gauge field has to be considered as classical field. Therefore, standard quantum field theory cannot be applied. …”
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A Fast Implicit Finite Difference Method for Fractional Advection-Dispersion Equations with Fractional Derivative Boundary Conditions by Taohua Liu, Muzhou Hou

“…Fractional advection-dispersion equations, as generalizations of classical integer-order advection-dispersion equations, are used to model the transport of passive tracers carried by fluid flow in a porous medium. …”
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A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order by Bo Chen, Qing-Hua Zou, Wen-Sheng Chen, Yan Li

“…By summarizing some classical active contour models from the view of level set representation, a simple energy function expression with the Gaussian kernel of fractional order is proposed, and then a novel region-based geometric active contour model is established. …”
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On the exact Maxwell evolution equation of resonator dynamics by Wu Tong, Zarouf Rachid, Lalanne Philippe

“…This new approach clarifies the origin of the temporal derivative in the excitation term of CMT and elucidates the approximations present in the classical CMT evolution equation through a straightforward argument.…”
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Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems by Jeong Ryeol Choi

“…An adiabatic invariant, which is a conserved quantity, is useful for studying quantum and classical properties of dynamical systems. Adiabatic invariants for time-dependent superconducting qubit-oscillator systems and resonators are investigated using the Liouville-von Neumann equation. …”
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Peridynamic Formulation for Coupled Thermoelectric Phenomena by Migbar Assefa, Xin Lai, Lisheng Liu, Yang Liao

“…Modeling of heat and electrical current flow simultaneously in thermoelectric convertor using classical theories do not consider the influence of defects in the material. …”
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Optimal isolation strategies of emerging infectious diseases with limited resources by Yinggao Zhou, Jianhong Wu, Min Wu

“…A classical deterministic SIR model is modified to take into accountof limited resources for diagnostic confirmation/medical isolation. …”
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Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems by Mohammed Al-Refai, Thabet Abdeljawad

“…Despite the fact that the properties of the fractional Sturm-Liouville problem with conformable derivative are very similar to the ones with the classical derivative, we find that the fractional problem does not display an infinite number of eigenfunctions for arbitrary boundary conditions. …”
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Low pass filter design with improved stop‐band suppression and synthesis with transformer‐free ladders by Serkan Yildiz, Ahmet Aksen, Sedat Kilinc, Siddik B. Yarman

“…It has been shown that the proposed method provides LP filters which have superior stop‐band suppression in comparison with classical transfer function‐based filters with same complexity. …”
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Statistical Characteristics and Security Analysis over Multi-Cascade κ-μ Shadowed Channels by Xiaohong Wang, Ming Ren, Yiwei Fang, Xinji Tian, Yanyang Zeng

“…In this paper, the statistical characteristics of the multi-cascade κ-μ shadowed fading channels are investigated and analyzed under the classic Wyner’s eavesdropping model. In particular, the general accurate expressions of the probability density function and the cumulative distribution function for amplitude and signal-to-noise ratio (SNR) are derived for the first time. …”
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Energy-Driven Image Interpolation Using Gaussian Process Regression by Lingling Zi, Junping Du

“…Image interpolation, as a method of obtaining a high-resolution image from the corresponding low-resolution image, is a classical problem in image processing. In this paper, we propose a novel energy-driven interpolation algorithm employing Gaussian process regression. …”
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Sum of Bernoulli Mixtures: Beyond Conditional Independence by Taehan Bae, Ian Iscoe

“…As well, some data from the area of credit risk are fit with the models, and comparisons are made between the new models and also the classical Beta-binomial model.…”
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THE TALE OF KIEU AND LOVE SONGS IN VIETNAMESE FOLK SONGS by La Mai Thi Gia

“…In this case, the characters of “The Tale of Kieu” are used as classical references in the songs. And third, which is also the most interesting aspect of the purpose of using “The Tale of Kieu” in response singing, the details, content, and characters in “The Tale of Kieu” are used for the two sides to test each other to see if the other person remembers, has memorized “The Tale of Kieu” or not, or knows how to use “The Tale of Kieu” in a flexible way.…”
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Gamma Kernel Estimators for Density and Hazard Rate of Right-Censored Data by T. Bouezmarni, A. El Ghouch, M. Mesfioui

“…The nonparametric estimation for the density and hazard rate functions for right-censored data using the kernel smoothing techniques is considered. The “classical” fixed symmetric kernel type estimator of these functions performs well in the interior region, but it suffers from the problem of bias in the boundary region. …”
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Lipschütz Genital Ulceration as Initial Manifestation of Primary Sjögren’s Syndrome by Filipa de Castro Coelho, Maria Amaral, Lúcia Correia, Maria João Nunes Campos, Tereza Paula, Augusta Borges, Jorge Borrego

“…Reactive acute genital ulcers (Lipschütz ulcers) should be considered as a possible manifestation of many autoimmune/inflammatory disorders, beyond the classic associations such as Behçet’s syndrome or Crohn’s disease.…”
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On the weak law of large numbers for normed weighted sums of I.I.D. random variables by André Adler, Andrew Rosalsky

“…An example is presented wherein the weak law holds but the strong law fails thereby generalizing a classical example.…”
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Contrary trends of grout consumption and water absorption at Sardasht by Mohammad Hassan Nazari, Ali Aalianvari, Mohamed El Tani

“…Abstract A new interpretation of contrary trends of water absorption rate and cement mix consumption in rock grouting is presented. The classical interpretation is either a higher consumption due to fracturing or a higher absorption due to thin fractures that cannot be grouted. …”
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New Joint Design to Create a More Natural and Efficient Biped by Giuseppina Gini, Umberto Scarfogliero, Michele Folgheraiter

“…We focus here on the knee, designed as a compliant human-like knee instead of a classical pin-joint, and on the foot, characterised by the mobility and lightness of the human foot. …”
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Bilateral Renal Hilar Nutcracker Phenomenon in a Male Cadaver by Dibakar Borthakur, Rajesh Kumar, Vidhu Dhawan, Rima Dada

“… Nutcracker phenomenon (NCP) typically refers to the entrapment of the left renal vein (LRV) between the aorta and the superior mesenteric artery. Similar to the classic NCP, the renal vein can also get entrapped between the segmental branches of the renal artery at the renal hilum, which has been referred to as ‘renal hilar nutcracker phenomenon (RHNP).’ …”
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Extended Macroscopic Study of Dilute Gas Flow within a Microcavity by Mohamed Hssikou, Jamal Baliti, Mohammed Alaoui

“…The results are compared with those obtained using the classical continuum theory of Navier-Stokes and Fourier (NSF).…”
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