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1

KOWALSKI, ZBIGNIEW S. "Quasi-Markovian transformations." Ergodic Theory and Dynamical Systems 17, no. 4 (1997): 885–97. http://dx.doi.org/10.1017/s0143385797086264.

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Let $(f,\alpha)$ be the process given by an endomorphism $f$ and by a finite partition $\alpha=\{A\}_{i=1}^{s}$ of a Lebesgue space. Let $E(f,\alpha)$ be the set of densities of absolutely continuous invariant measures for skew products with the base $(f,\alpha)$. We prove that a process $(f,\alpha)$ is Markovian if and only if $E(f,\alpha)\subset \{g: g=\sum_{i=1}^{s} 1_{A_{i}}\otimes g_{i}\}$. If $f$ is the Lasota–Yorke or Misiurewicz type map with the Markovian partition $\alpha$, then $(f,\alpha)$ is quasi-Markovian, i.e. $E(f,\alpha)\subset \{g:\supp g=\bigcup_{i=1}^{s} A_{i}\times B_{i}\
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2

Patrick Udoudo, Unyime, and Ette Harrison Etuk. "Alpha power transformed quasi lindley distribution." International Journal of Advanced Statistics and Probability 9, no. 1 (2021): 6. http://dx.doi.org/10.14419/ijasp.v9i1.31208.

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In this study, we proposed and studied the alpha power transformed quasi Lindley distribution. The new model has three sub models, namely, Lindley, quasi Lindley and alpha power transformed Lindley distributions. The pdf, hazard rate function, quantile function, mo-ments, Rényi entropy, stochastic ordering and distributions of order statistics were derived based on the new model. The maximum like-lihood method of estimating the model parameters was considered. A simulation study was conducted to investigate the behavior of the maximum likelihood estimates. It was observed that the average bias
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3

Noor, Khalida Inayat. "Some classes of alpha-quasi-convex functions." International Journal of Mathematics and Mathematical Sciences 11, no. 3 (1988): 497–501. http://dx.doi.org/10.1155/s0161171288000584.

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LetC[C,D],−1≤D<C≤1denote the class of functionsg,g(0)=0,g′(0)=1, analytic in the unit diskEsuch that(zg′(z))′g′(z)is subordinate to1+CZ1+DZ,z∈E. We investigate some classes of Alpha-Quasi-Convex Functionsf, withf(0)=f′(0)−1=0for which there exists ag∈C[C,D]such that(1−α)f′(z)g′(z)+α(zf′(z))′g′(z)is subordinate to1+AZ1+BZ′,−1≤B<A≤1. Integral representation, coefficient bounds are obtained. It is shown that some of these classes are preserved under certain integral operators.
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4

Abdel-Gawad, H. R. "On the Fekete-Szego problem for alpha-quasi-convex functions." Tamkang Journal of Mathematics 31, no. 4 (2000): 251–56. http://dx.doi.org/10.5556/j.tkjm.31.2000.381.

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5

Meftah, B., and A. Souahi. "Cebyšev inequalities for co-ordinated \(QC\)-convex and \((s,QC)\)-convex." Engineering and Applied Science Letters 4, no. 1 (2021): 14–20. http://dx.doi.org/10.30538/psrp-easl2021.0057.

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In this paper, we establish some new Cebyšev type inequalities for functions whose modulus of the mixed derivatives are co-ordinated quasi-convex and \(\alpha \)-quasi-convex and \(s\)-quasi-convex functions.
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6

Royer, G. "Alpha emission and spontaneous fission through quasi-molecular shapes." Journal of Physics G: Nuclear and Particle Physics 26, no. 8 (2000): 1149–70. http://dx.doi.org/10.1088/0954-3899/26/8/305.

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7

Mahmood, Shahid, Sarfraz Nawaz Malik, Sumbal Farman, S. M. Jawwad Riaz, and Shabieh Farwa. "Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions." Journal of Function Spaces 2018 (2018): 1–7. http://dx.doi.org/10.1155/2018/6049512.

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In this work, we aim to introduce and study a new subclass of analytic functions related to the oval and petal type domain. This includes various interesting properties such as integral representation, sufficiency criteria, inclusion results, and the convolution properties for newly introduced class.
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8

Littin Curinao, Jorge. "Asymptotic behavior and quasi-limiting distributions on time-fractional birth and death processes." Journal of Applied Probability 59, no. 4 (2022): 1199–227. http://dx.doi.org/10.1017/jpr.2022.14.

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AbstractIn this article we provide new results for the asymptotic behavior of a time-fractional birth and death process $N_{\alpha}(t)$ , whose transition probabilities $\mathbb{P}[N_{\alpha}(t)=\,j\mid N_{\alpha}(0)=i]$ are governed by a time-fractional system of differential equations, under the condition that it is not killed. More specifically, we prove that the concepts of quasi-limiting distribution and quasi-stationary distribution do not coincide, which is a consequence of the long-memory nature of the process. In addition, exact formulas for the quasi-limiting distribution and its rat
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9

Nicolopoulos, Anouk, Martin Campos Pinto, Bruno Després, and Patrick Ciarlet. "Degenerate elliptic equations for resonant wave problems." IMA Journal of Applied Mathematics 85, no. 1 (2020): 132–59. http://dx.doi.org/10.1093/imamat/hxaa001.

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Abstract The modelling of resonant waves in 2D plasma leads to the coupling of two degenerate elliptic equations with a smooth coefficient $\alpha $ and compact terms. The coefficient $\alpha $ changes sign. The region where $\{\alpha>0\}$ is propagative, and the region where $\{\alpha <0\}$ is non propagative and elliptic. The two models are coupled through the line $\varSigma =\{\alpha =0\}$. Generically, it is an ill-posed problem and additional information must be introduced to get a satisfactory treatment at $\varSigma $. In this work, we define the solution by relying on th
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10

Basar, E., and M. Schurmann. "Alpha Rhythms in the Brain: Functional Correlates." Physiology 11, no. 2 (1996): 90–96. http://dx.doi.org/10.1152/physiologyonline.1996.11.2.90.

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Experimental evidence suggests a functional significance of electroencephalographic (EEG) alpha rhythms. Event-related, evoked, and induced alpha rhythms may have functional correates in primary sensory processing and preparatory processes. These results are in accord with the view that spontaneous and induced EEG alpha rhythms have quasi-deterministic properties.
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11

Assoul, M., A. El Jaouahiry, M. Echchadli, and S. Aniss. "Instability of a viscous interface under horizontal quasi-periodic oscillation." MATEC Web of Conferences 286 (2019): 07010. http://dx.doi.org/10.1051/matecconf/201928607010.

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We study the linear stability of two superposed layers of viscous, immiscible fluids of different densities. The whole system is subject to horizontal quasi-periodic oscillation with two incommensurates frequencies ω1 and ω2. The spectral method and Floquet’s theory combined with Runge-Kutta method are used to solve numericelly the linear problem. We analyse the influence of the frequencies ratio$ \omega = {{{\omega _1}} \over {{\omega _2}}} $, on the mariginal stability. The numerical solution shows that the quasi-periodic excitation has a stabilizing or a destabilizing effect on the Kelvin-Hel
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12

Zhou, Ping, Dawu Xiao, Wenyuan Wang, et al. "Twinning behavior of polycrystalline alpha-uranium under quasi static compression." Journal of Nuclear Materials 478 (September 2016): 83–90. http://dx.doi.org/10.1016/j.jnucmat.2016.05.041.

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13

Manzoor, Raheela, Asghar Khan, Faisal Yousafzai, and Venus Amjad. "Fuzzy quasi-ideals with thresholds \((\alpha ,\beta ]\) in ordered semigroups." International Journal of Algebra and Statistics 2, no. 1 (2013): 72. http://dx.doi.org/10.20454/ijas.2013.690.

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14

Chamorro, Diego, and Pierre Gilles Lemarié-Rieusset. "Quasi-geostrophic equations, nonlinear Bernstein inequalities and $\alpha$-stable processes." Revista Matemática Iberoamericana 28, no. 4 (2012): 1109–22. http://dx.doi.org/10.4171/rmi/705.

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15

Montalto, Riccardo. "The Navier–Stokes Equation with Time Quasi-Periodic External Force: Existence and Stability of Quasi-Periodic Solutions." Journal of Dynamics and Differential Equations 33, no. 3 (2021): 1341–62. http://dx.doi.org/10.1007/s10884-021-09944-w.

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AbstractWe prove the existence of small amplitude, time-quasi-periodic solutions (invariant tori) for the incompressible Navier–Stokes equation on the d-dimensional torus $$\mathbb T^d$$ T d , with a small, quasi-periodic in time external force. We also show that they are orbitally and asymptotically stable in $$H^s$$ H s (for s large enough). More precisely, for any initial datum which is close to the invariant torus, there exists a unique global in time solution which stays close to the invariant torus for all times. Moreover, the solution converges asymptotically to the invariant torus for
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16

Şengül, Hacer, Hüseyin Çakallı, and Mikail Et. "A variation on strongly ideal lacunary ward continuity." Boletim da Sociedade Paranaense de Matemática 38, no. 7 (2019): 99–108. http://dx.doi.org/10.5269/bspm.v38i7.46136.

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The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (alpha,beta) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (alpha,beta) is also investigated. Interesting results are obtained.
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17

Dai, Songsong. "Quasi-MV algebras for complex fuzzy logic." AIMS Mathematics 7, no. 1 (2021): 1416–28. http://dx.doi.org/10.3934/math.2022083.

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<abstract><p>Complex fuzzy logic (CFL) is an emerging topic of research in fuzzy logic. Due to the circle structured codomain of the complex membership function, algebraic structure (including MV-algebra) in traditional fuzzy logic cannot be easily transplanted to CFL. Quasi-MV algebras are almost identical to MV algebras, except $ \alpha\oplus\textbf{0} = \alpha $ does not always hold. In this paper, our goal is to derive some algebraic structures for CFL. We first construct a quasi-MV algebra in complex fuzzy logic by introducing negation and truncated sum in the unit disc of the
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18

Landreman, M., S. Buller, and M. Drevlak. "Optimization of quasi-symmetric stellarators with self-consistent bootstrap current and energetic particle confinement." Physics of Plasmas 29, no. 8 (2022): 082501. http://dx.doi.org/10.1063/5.0098166.

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Quasi-symmetry can greatly improve the confinement of energetic particles and thermal plasma in a stellarator. The magnetic field of a quasi-symmetric stellarator at high plasma pressure is significantly affected by the bootstrap current, but the computational cost of accurate stellarator bootstrap calculations has precluded use inside optimization. Here, a new efficient method is demonstrated for optimization of quasi-symmetric stellarator configurations such that the bootstrap current profile is consistent with the geometry. The approach is based on the fact that all neoclassical phenomena i
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19

Рогонов, Степан Алексеевич, Илья Сергеевич Солдатенко, and Арина Александровна Шмелева. "Construction of a quasi-efficient frontier of a set of optimal portfolios under conditions of hybrid uncertainty with allowed short sales." Fuzzy Systems and Soft Computing, no. 1 (August 12, 2022): 59–75. http://dx.doi.org/10.26456/fssc88.

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В настоящей работе описаны методы построения квазиэффективной границы портфеля минимального риска в условиях гибридной неопределенности при допустимых коротких продажах в двух случаях - когда приемлемый для инвестора уровень ожидаемой доходности портфеля задан в четкой и нечеткой формах. Полученные результаты проиллюстрированы на модельном примере. Исследовано поведение квазиэффективной границы в зависимости от значения $\alpha $-уровня. This paper describes methods for constructing a quasi-efficient frontier of minimum risk portfolio under conditions of hybrid uncertainty with allowed short s
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20

Außenhofer, Lydia. "On quasi-convex null sequences in infinite cyclic groups." Forum Mathematicum 30, no. 4 (2018): 867–76. http://dx.doi.org/10.1515/forum-2017-0079.

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21

Albert, C. G., K. Rath, R. Babin, R. Buchholz, S. V. Kasilov, and W. Kernbichler. "Resonant transport of fusion alpha particles in quasisymmetric stellarators." Journal of Physics: Conference Series 2397, no. 1 (2022): 012009. http://dx.doi.org/10.1088/1742-6596/2397/1/012009.

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Abstract In modern, highly optimized stellarator configurations where prompt fusion alpha particle losses from the plasma core are absent, alpha particles can still be lost due to stochastic orbits which result in delayed losses. One mechanism leading to stochastic orbits are changes in the particle trapping class during drift motion along the contours of the parallel adiabatic invariant J ∥ leading to jumps in J ∥ when crossing class boundaries. Another mechanism, which is of main interest here, is the resonance between particle drift and bounce motion (drift-orbit resonance). The first mecha
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22

Trattner, K. J., and M. Scholer. "Diffuse alpha particles upstream of simulated quasi-parallel supercritical collisionless shocks." Geophysical Research Letters 18, no. 10 (1991): 1817–20. http://dx.doi.org/10.1029/91gl02084.

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23

Evans, Neal J. ,. II, and A. Natta. "New observations of Pa-alpha lines in two quasi-stellar objects." Astrophysical Journal 339 (April 1989): 943. http://dx.doi.org/10.1086/167348.

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24

Roulley, Emeric. "Periodic and quasi-periodic Euler-$\alpha$ flows close to Rankine vortices." Dynamics of Partial Differential Equations 20, no. 4 (2023): 311–66. http://dx.doi.org/10.4310/dpde.2023.v20.n4.a3.

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25

Trung, Nguyen Thoi, and Nguyen Xuan Hung. "About applying directly the alpha finite element method (\(\alpha\)FEM) for solid mechanics using triangular and tetrahedral elements." Vietnam Journal of Mechanics 32, no. 4 (2010): 235–46. http://dx.doi.org/10.15625/0866-7136/32/4/292.

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An alpha finite element method (\(\alpha\)FEM) has been recently proposed to compute nearly exact solution in strain energy for solid mechanics problems using three-node triangular (\(\alpha\)FEM-T3) and four-node tetrahedral (\(\alpha\)FEM-T4) elements. In the \(\alpha\)FEM, a scale factor \(\alpha \in [0, 1]\) is used to combine the standard fully compatible model of the FEM with a quasi-equilibrium model of the node-based smoothed FEM (NS-FEM). This novel combination of the FEM and NS-FEM makes the best use of the upper bound property of the NS-FEM and the lower bound property of the standa
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26

Dhagat, Vanita Ben, and Vijendra Singh Thakur. "Nonconvex minimization in generating space." Tamkang Journal of Mathematics 39, no. 3 (2008): 213–18. http://dx.doi.org/10.5556/j.tkjm.39.2008.13.

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27

Breit, Dominic, and Prince Romeo Mensah. "Space-time approximation of parabolic systems with variable growth." IMA Journal of Numerical Analysis 40, no. 4 (2019): 2505–52. http://dx.doi.org/10.1093/imanum/drz039.

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Abstract We study a parabolic system with $p(t,x)$-structure under Dirichlet boundary conditions. In particular, we deduce the optimal convergence rate for the error of the gradient of a finite element-based space-time approximation. The error is measured in the quasi norm and the result holds if the exponent $p(t,x)$ is $(\alpha _t,\alpha _x)$-Hölder continuous.
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28

Oda, A., J. F. Daley, J. Kang, M. Smith, J. A. Ware, and E. W. Salzman. "Quasi-simultaneous measurement of ionized calcium and alpha-granule release in individual platelets." American Journal of Physiology-Cell Physiology 260, no. 2 (1991): C242—C248. http://dx.doi.org/10.1152/ajpcell.1991.260.2.c242.

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The effect of alpha-thrombin and ADP on calcium mobilization and alpha-granule release in individual platelets was investigated by flow cytometry. alpha-Thrombin (4.5 nM) caused a uniform rise of free cytosolic calcium ([Ca2+]i) among indo-1-loaded human platelets. Despite the uniformity of this effect, approximately 20% of the cells failed to secrete alpha-granule content, as shown by binding of fluorescein isothiocyanate (FITC)-conjugated S12 monoclonal antibody. ADP (10 microM) caused a similar brisk and uniform rise of calcium but did not increase S12 binding to any platelets. On the other
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29

Schrader, Malcolm E. "Polypeptide formation on polar mineral surfaces: possibility of complete chirality." International Journal of Astrobiology 16, no. 1 (2015): 10–13. http://dx.doi.org/10.1017/s1473550415000427.

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AbstractIn the present work, it is shown that thermodynamically feasible polymerization of cyanomethanol, which can be formed from formaldehyde and hydrogen cyanide, can lead to synthesis of polypeptides as well as to the previously reported synthesis of RNA. If the polymerization takes place on a one-dimensional feature of a mineral, such as for example a crack on its surface, the concept of quasi-chirality is introduced to describe the adsorbed polypeptide. This, in principle, would lead to formation of proteins that are completely homochiral in their alpha carbon groups. The concept of quas
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30

Zireh, Ahmad, Ebrahim Analouei Adegani, and Mahmood Bidkham. "Faber polynomial coefficient estimates for subclass of bi-univalent functions defined by quasi-subordinate." Mathematica Slovaca 68, no. 2 (2018): 369–78. http://dx.doi.org/10.1515/ms-2017-0108.

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Abstract In this paper, we use the Faber polynomial expansion to find upper bounds for |an| (n ≥ 3) coefficients of functions belong to classes $\begin{array}{} H_{q}^{\Sigma}(\lambda,h),\, ST_{q}^{\Sigma}(\alpha,h)\,\text{ and} \,\,M_{q}^{\Sigma}(\alpha,h) \end{array}$ which are defined by quasi-subordinations in the open unit disk 𝕌. Further, we generalize some of the previously published results.
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31

Barbato, E., and F. Santini. "Quasi-linear absorption of lower hybrid waves by fusion generated alpha particles." Nuclear Fusion 31, no. 4 (1991): 673–85. http://dx.doi.org/10.1088/0029-5515/31/4/005.

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32

Tan, L. C., G. M. Mason, G. Gloeckler, and F. M. Ipavich. "Downstream energetic proton and alpha particles during quasi-parallel interplanetary shock events." Journal of Geophysical Research 93, A7 (1988): 7225. http://dx.doi.org/10.1029/ja093ia07p07225.

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33

Murphy, J. B., and S. L. Kramer. "First Observation of Simultaneous Alpha Buckets in a Quasi-Isochronous Storage Ring." Physical Review Letters 84, no. 24 (2000): 5516–19. http://dx.doi.org/10.1103/physrevlett.84.5516.

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34

Bartelmann, Matthias, and Abraham Loeb. "Gravitational Lensing of Quasi-stellar Objects by Their Damped LY alpha Absorbers." Astrophysical Journal 457 (February 1996): 529. http://dx.doi.org/10.1086/176749.

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35

Cakalli, Huseyin. "Variations on statistical quasi Cauchy sequences." Boletim da Sociedade Paranaense de Matemática 38, no. 3 (2019): 141–50. http://dx.doi.org/10.5269/bspm.v38i3.39991.

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In this paper, we introduce a concept of statistically $p$-quasi-Cauchyness of a real sequence in the sense that a sequence $(\alpha_{k})$ is statistically $p$-quasi-Cauchy if $\lim_{n\rightarrow\infty}\frac{1}{n}|\{k\leq n: |\alpha_{k+p}-\alpha_{k}|\geq{\varepsilon}\}|=0$ for each $\varepsilon>0$. A function $f$ is called statistically $p$-ward continuous on a subset $A$ of the set of real umbers $\mathbb{R}$ if it preserves statistically $p$-quasi-Cauchy sequences, i.e. the sequence $f(\textbf{x})=(f(\alpha_{n}))$ is statistically $p$-quasi-Cauchy whenever $\boldsymbol\alpha=(\alpha_{n})$
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36

Tuncer, A. Nihal. "Factors for absolute Cesaro summability." Tamkang Journal of Mathematics 32, no. 1 (2001): 21–25. http://dx.doi.org/10.5556/j.tkjm.32.2001.363.

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In this paper using $ \delta $-quasi-monotone sequences a theorem on $ | C, \alpha, \beta; \delta |_k $ summability factors of infinite series, which generalizes a theorem of Mazhar[6] on $ | C, 1 |_k $ summability factors, has been proved.
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37

Chinnadurai, Veerappan, and Sambanthamoorthy Kadalarasi. "Characterizations of near-rings by (\overline(\alpha),\overline(\beta) )-fuzzy ideals." International Journal of Algebra and Statistics 6, no. 1-2 (2017): 42. http://dx.doi.org/10.20454/ijas.2017.1197.

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In this paper, we define the notion of (\overline(\alpha),\overline(\beta))-fuzzy subnear-rings and ideals of near-rings wherealpha and beta are any two of {e,qk ,evqk ,e^qk}(e-belongingness; qk-k quasi-coincidence) and discussed some of its properties.
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38

Keitel, Christian, Christopher S. Y. Benwell, Gregor Thut, and Joachim Gross. "No changes in parieto-occipital alpha during neural phase locking to visual quasi-periodic theta-, alpha-, and beta-band stimulation." European Journal of Neuroscience 48, no. 7 (2018): 2551–65. http://dx.doi.org/10.1111/ejn.13935.

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39

Liu, Xiao-Song, and Ming-Sheng Liu. "Quasi-convex mappings of order $\alpha$ on the unit polydisk in $C^n$." Rocky Mountain Journal of Mathematics 40, no. 5 (2010): 1619–44. http://dx.doi.org/10.1216/rmj-2010-40-5-1619.

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40

YANG, ShouZhi, YouFa LI, YanFeng SHEN, and DeHui YUAN. "Quasi-<italic>α</italic>-pseudo spline and its properties." SCIENTIA SINICA Mathematica 42, no. 2 (2012): 165–80. http://dx.doi.org/10.1360/012011-365.

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41

Nurwahyu, Budi. "FIXED POINT THEOREMS FOR GENERALIZED CONTRACTION MAPPINGS IN QUASI \alpha b-METRIC SPACE." Far East Journal of Mathematical Sciences (FJMS) 101, no. 8 (2017): 1813–32. http://dx.doi.org/10.17654/ms101081813.

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42

Lowenthal, James D., Craig J. Hogan, Richard F. Green, et al. "Imaging and Spectroscopy of Damped LY alpha Quasi-stellar Object Absorption-Line Clouds." Astrophysical Journal 451 (October 1995): 484. http://dx.doi.org/10.1086/176237.

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43

Wang, Jack C., Loren C. Chang, Jia Yue, Wenbin Wang, and D. E. Siskind. "The quasi 2 day wave response in TIME-GCM nudged with NOGAPS-ALPHA." Journal of Geophysical Research: Space Physics 122, no. 5 (2017): 5709–32. http://dx.doi.org/10.1002/2016ja023745.

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44

Nielsen, Frank. "Generalizing the Alpha-Divergences and the Oriented Kullback–Leibler Divergences with Quasi-Arithmetic Means." Algorithms 15, no. 11 (2022): 435. http://dx.doi.org/10.3390/a15110435.

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The family of α-divergences including the oriented forward and reverse Kullback–Leibler divergences is often used in signal processing, pattern recognition, and machine learning, among others. Choosing a suitable α-divergence can either be done beforehand according to some prior knowledge of the application domains or directly learned from data sets. In this work, we generalize the α-divergences using a pair of strictly comparable weighted means. Our generalization allows us to obtain in the limit case α→1 the 1-divergence, which provides a generalization of the forward Kullback–Leibler diverg
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45

Wang, JinRong, Akbar Zada, and Wajid Ali. "Ulam’s-Type Stability of First-Order Impulsive Differential Equations with Variable Delay in Quasi–Banach Spaces." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 5 (2018): 553–60. http://dx.doi.org/10.1515/ijnsns-2017-0245.

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AbstractIn this paper, Ulam’s-type stabilities are studied for a class of first-order impulsive differential equations with bounded variable delays on compact interval with finite number of impulses. Results of stability are proved via newly established integral inequality of Bellman–Grönwall–Bihari type with delay for discontinuous functions. Using this inequality for the first time and assumption of $\alpha$-H$\ddot{o}$lder’s condition instead of common Lipschitz condition is novelty of this paper. Moreover, solution is obtained in quasi–Banach spaces which is best suited for obtaining resul
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46

Płotka, Hanna, and David G. Dritschel. "Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability." Journal of Fluid Mechanics 723 (April 16, 2013): 40–68. http://dx.doi.org/10.1017/jfm.2013.104.

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AbstractWe examine the form, properties, stability and evolution of doubly-connected (two-vortex) relative equilibria in the single-layer $f$-plane quasi-geostrophic shallow-water model of geophysical fluid dynamics. Three parameters completely describe families of equilibria in this system: the ratio $\gamma = L/ {L}_{D} $ between the horizontal size of the vortices and the Rossby deformation length; the area ratio $\alpha $ of the smaller to the larger vortex; and the minimum distance $\delta $ between the two vortices. We vary $0\lt \gamma \leq 10$ and $0. 1\leq \alpha \leq 1. 0$, determini
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47

Eselevich, Viktor, and Vladimir Parhomov. "Role of alpha particles in penetration of solar wind diamagnetic structures into the magnetosphere." Solar-Terrestrial Physics 9, no. 3 (2023): 10–20. http://dx.doi.org/10.12737/stp-93202302.

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Abstract:
We present the results of studies showing the presence of simultaneous jumps in the density of protons (N2/N1)p and alpha particles (N2/N1)α at the boundaries of diamagnetic structures (DS) of various types both in the quasi-stationary slow solar wind (SW) and in sporadic SW. For DS of quasi-stationary slow SW, associated with streamer belt or chains, in the statistics considered in the paper there is a single linear dependence of (N2/N1)α on (N2/N1)p. This means that these jumps have the same physical nature and are related to diamagnetism at the boundaries of DS of quasi-stationary SW stream
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48

Eselevich, Viktor, and Vladimir Parhomov. "Role of alpha particles in penetration of solar wind diamagnetic structures into the magnetosphere." Solnechno-Zemnaya Fizika 9, no. 3 (2023): 12–22. http://dx.doi.org/10.12737/szf-93202302.

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Abstract:
We present the results of studies showing the presence of simultaneous jumps in the density of protons (N2/N1)p and alpha particles (N2/N1)α at the boundaries of diamagnetic structures (DS) of various types both in the quasi-stationary slow solar wind (SW) and in sporadic SW. For DS of quasi-stationary slow SW, associated with streamer belt or chains, in the statistics considered in the paper there is a single linear dependence of (N2/N1)α on (N2/N1)p. This means that these jumps have the same physical nature and are related to diamagnetism at the boundaries of DS of quasi-stationary SW stream
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49

KETOV, SERGEI V. "THE BRST CHARGE FOR THE $\hat D (2, 1; \alpha)$ NONLINEAR QUASI-SUPERCONFORMAL ALGEBRA." Modern Physics Letters A 10, no. 01 (1995): 79–90. http://dx.doi.org/10.1142/s0217732395000090.

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Abstract:
The quantum BRST charge for the most general, two-dimensional, nonlinear, N = 4 quasi-superconformal algebra [Formula: see text], whose linearization is the so-called 'large' N = 4 superconformal algebra, is constructed. The [Formula: see text] algebra has [Formula: see text] Kač–Moody component, and α = k−/k+. As a pre-requisite to our construction, we check the [Formula: see text] Jacobi identities and construct a classical BRST charge. Then, we analyze the quantum BRST charge nilpotency conditions and find the only solution, k+ = k− = −2. The [Formula: see text] algebra is actually isomorph
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50

Markovskii, S. A., and Bernard J. Vasquez. "Proton Heating by a Proton–Alpha Drift Instability with an Anisotropic Alpha-particle Temperature in a Turbulent Solar-wind Plasma." Astrophysical Journal 930, no. 2 (2022): 120. http://dx.doi.org/10.3847/1538-4357/ac6507.

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Abstract The proton–alpha drift instability is a possible mechanism of the alpha-particle deceleration and the resulting proton heating in the solar wind. We present hybrid numerical simulations of this instability with particle-in-cell ions and a quasi-neutralizing electron fluid for typical conditions at 1 au. For the parameters used in this paper, we find that fast magnetosonic unstable modes propagate only in the direction opposite to the alpha-particle drift and do not produce the perpendicular proton heating necessary to accelerate the solar wind. Alfvén modes propagate in both direction
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