Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections by Weiyan Yu, Ran Wang, Chen Zhang

“…Let H be a complex separable Hilbert space and BH be the algebra of all bounded linear operators from H to H. …”
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Nonlinear Stability of the Bipolar Navier-Stokes-Poisson System with Boundary by Tiantian Yu, Yong Li

“…Based on the conormal energy estimates, we showed that the solutions for the original system converge strongly in H3 space towards the solutions of the one-fluid compressible Euler system as long as the amplitude of the boundary layers is small enough.…”
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Remote Sensing and Modeling of Atmospheric Dust and Studying Its Impact on Environment, Weather, and Climate by Hesham El-Askary, Seon K. Park, Slobodan Nickovic, Mian Chin

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Tutorial activity as a mechanism of fses realization by V. . Adolf, N. . Pilipchevskaya

“…The authors adhere the opinion that while projecting the new educational programs it is necessary to apply education technologies, which can help students to enlarge the space of educational services. On the basis of the analysis of the contemporary trends in education theauthors formulate the concept “tutor competence” and mark out its structural components.…”
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The blue of the sky: Carlo Scarpa a Palermo by Santo Giunta

“…In particular, in the re-adaptation of Palazzo Abatellis, he proposed solutions and hypotheses for its re–use in order to redefine an organizational principle upon which to base the existing space and from which rules emerge which, in his treatment, give meaning to the entire physical and visible environment.…”
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Développement numérique des espaces ruraux by Jean-Pierre Jambes

“…It therefore explores the concept of digital local area meant as a space for cultivation of a socio-economy that better integrates online services and users expectations.…”
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A High-Order Melnikov Method for Heteroclinic Orbits in Planar Vector Fields and Heteroclinic Persisting Perturbations by Yi Zhong

“…Perturbations which have this property together form the heteroclinic persisting space. The Van der Pol system is analysed as an application.…”
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The Social Rewards of Online Gambling by Jani Kinnunen

“…The games and the ways of playing them  ave varied over time and space, but the core of gambling is always the same: players place a monetary bet on a possible outcome of some event. …”
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Strong Convergence Theorems for Solutions of Equations of Hammerstein Type by Chih-Sheng Chuang

“…We consider an auxiliary operator, defined in a real Hilbert space in terms of and , that is, monotone and Lipschitz mappings (resp., monotone and bounded mappings). …”
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The Spectral Method for the Cahn-Hilliard Equation with Concentration-Dependent Mobility by Shimin Chai, Yongkui Zou

“…Convergence analysis and error estimates are presented for the numerical solutions based on the spectral method for the space and the implicit Euler method for the time. …”
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A Stochastic Weakly Damped, Forced KdV-BO Equation by Guolian Wang

“…By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space H1(ℝ).…”
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General Principles of Formation and Transformation of Energy Fields of Different Nature by I. I. Gretchikhin

“…It is proposed to consider a magnetic charge as an imaginary one in the imaginary space and real time. Following this representation Lorentz’s equation is validated and on the basis of it Maxwell’s equations derive as a consequence with justification of magnetic and electromagnetic fields. …”
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A boundary value problem for cold plasma dynamics by Thomas H. Otway

“…Weak solutions are shown to exist in a weighted Hilbert space. This result extends the work of Yamamoto (1994).…”
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Weak Solutions for a Sixth Order Cahn-Hilliard Type Equation with Degenerate Mobility by Aibo Liu, Changchun Liu

“…An existence result for the problem with a concentration dependent diffusional mobility in three space dimensions is presented.…”
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The n-dimensional distributional Mellin transformation by Sunil Kumar Sinha

“…The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved. …”
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Fixed Point of Strong Duality Pseudocontractive Mappings and Applications by Baowei Liu

“…Let E be a smooth Banach space with the dual , an operator is said to be α-strong duality pseudocontractive if , for all , where α is a nonnegative constant. …”
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Solvability of integral equations via the technique of measures of noncompactness by Babak Mohammadi, Mohammad Mursaleen, Vahid Parvaneh

“….], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. …”
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Peculiarities of rendering of material in virtual computers' network course by Liudvikas Kaklauskas

“…Means, possibilities of their usage, according to selected topical themes, for rendering of course in virtual medium of Learning Space are analyzed. Worksheet for this course and problems of their selection are reviewed. …”
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p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2 by Tomonari Suzuki

“…Using these, we present some examples of Banach spaces. One of them is a uniformly convex Banach space which is not p-uniformly convex.…”
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Elements of Document Design by Ricky Telg

“…Where the principles of document design provide considerations for overall document layout, the elements of document design focus on these specific visual elements that make up the visual content of the document: text and typefaces, visuals, graphics, color, and white space. This 4-page fact sheet was written by Ricky Telg and published by the UF Department of Agricultural Education and Communication, June 2012. …”
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