Unit sphere
Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere
... on sphere while Temam and Ziane [43], see also [4], proved that the NSEs on a 2-dimensional sphere is a limit of NSEs defined on a spherical shell ...on sphere, Fengler and Freeden [25] obtained some ...
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Curvature Motion on Dual Hyperbolic Unit Sphere H20
... Real spherical curvature motion had been introduced by A. Karger and J. Novak [8]. Also, a dual spherical curvature motion has been defined by Z. Yapar [9]. In recent years, study about the real spherical motion has been ...
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Direct and converse results in the Ba space for Jackson Matsuoka polynomials on the unit sphere
... the unit sphere in the Ba space, establish their relations and obtain the direct and converse theorem of approximation in the Ba space for Jackson-Matsuoka polynomials on the unit sphere of R ...
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2. Curvature and rigidity theorems of submanifolds in a unit sphere
... Theorem 1.5. Let M n be an n-dimensional complete submanifold in a unit sphere S n+p (1) with constant scalar curvature n(n − 1)R and R ¯ = R − 1 > 0. If the nor- malized mean curvature vector is ...
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A representation function for a distribution of points on the unit sphere—with applications to analyses of the distribution of virtual geomagnetic poles
... The problem of analyzing the spatial distribution of a set of points on the unit sphere arises in many fields of physi- cal and natural science (Fisher et al., 1987). Frequently the points represent the ...
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Interior fixed points of unit-sphere-preserving Euclidean maps
... the unit sphere in Euclidean n-space with the property that any smooth self-map of the unit ball that extends a map of that class must have at least one fixed point in the interior of the ...the ...
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The characterization of moebius sectional curvature of submanifolds on unit Sphere
... Since Wang (cf. [1] )using conformal differential geometry to establish the theory of conformal differential geometry of submanifolds, and submanifolds are obtained fully invariant system under the conformal group, the ...
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Determinants of the Laplacians on the n dimensional unit sphere Sn
... During the last three decades, the problem of evaluation of the determinants of the Lapla- cians on Riemann manifolds has received considerable attention from many authors in- cluding (among others) D’Hoker and Phong [, ...
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On the accuracy of surface spline interpolation on the unit sphere
... Hubbert, Simon and Morton, Tanya M. (2004) On the accuracy of surface spline interpolation on the unit sphere. In: Neamtu, M. and Saff, E.B. (eds.) Advances in Constructive Approximation: Vanderbild 2003. ...
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Spatio-spectral analysis on the unit sphere
... the unit sphere, g(ˆ x) is corresponding SLSHT distribution in the spatio-spectral domain, v(ˆ x) is the modi- fied SLSHT distribution under the operator K with kernel ζ(ˆ x, y) in ˆ the spatio-spectral ...
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Constructible circles on the unit sphere
... In the special case of d=0, the plane will be passing through the origin of the sphere and the set of points of intersection would form a great circle on the sphere. Our next Step is t[r] ...
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On uniform Kadec Klee properties and rotundity in generalized Cesàro sequence spaces
... A Banach space X is said to have the Kadec-Klee property or H-property if every weakly convergent sequence on the unit sphere is convergent in norm.. Every UKK Banach space has H-propert[r] ...
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Steinhaus’ lattice point problem for Banach spaces
... We translate condition (S), formulated above, into three equivalent statements concerning the geometry of the unit ball of a Banach space. Roughly speaking, they require that, locally, the unit ...
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Spherical Spline Solution of the Heat Equation
... 30,000 points on the unit sphere. The maximal relative error values over [0, 1] are recorded in Table 6 together with the time it takes the program to calculate the approximation. The time increases ...
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On Dual Curves of DAW(k)-Type and Their Evolutes
... γ(t) = U(t) = α(t) + εγ(t) ∧ α(t) = α(t) + εα ∗ (t), (4.4) where α ∗ is the moment of α about the origin in E 3 , and ε is an indeterminate subject to the relation ε 2 = 0. Hence, ruled surfaces and dual curves are ...
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Some geometric properties of a new modular space defined by Zweier operator
... A Banach space X is said to satisfy the weak fixed point property if every nonempty weakly compact convex subset C and every nonexpansive mapping T : C → C(Tx–Ty ≤ x – y, ∀x, y ∈ C) have a fixed point, that is, there ...
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Exact solutions of the vorticity equation on the sphere as a manifold
... rotating unit sphere as a compact differ- entiable manifold without boundary, which are zonal flows, homogeneous spherical polynomial flows, Rossby-Haurwitz waves and generalized solutions named modons, ...
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Numerical Approximation to Spherical Functions by Regularization method
... optimization problem over the unit sphere. Based on variant regularization operators, we set up a class of spherical regularization least squares approximation model. We illustrate the algorithm, includes ...
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Spiral Tessellation on the Sphere
... the unit sphere in the 3 -dimensional space realized using a spiral joining the north and the south ...whole sphere and to a 1 -dimensional natural ordering on the set of tiles of the ...the ...
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Convexity and Toeplitz Quantization: Kostant’s Theorem For The symplectomorphism Group Of The Sphere
... the unit sphere and we also give another proof of the infinite dimensional version of Schur and Horn theorem for the sphere based on Schur and Horn theorem for Hermitian ...
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