Euclidean space
On four dimensional Dupin hypersurfaces in Euclidean space
... Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally ...
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Cones in the euclidean space with vanishing scalar curvature
... Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of ...
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S Curvature in the Euclidean Space
... hyperbolic space does not permit to give an intrinsic concept of translation surface as in the Euclidean ...hyperbolic space, López (2011), introduced the concept of translation surface and presented ...
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Ray Tracing in Non-Euclidean Spaces
... of space- meshes which represent piecewise linear approximations of 3D non-Euclidean spaces isometrically embeddable in 4D Euclidian ...any space with a natural topology because it does not depend on ...
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Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold
... In this paper we generalize and extend to any Riemannian manifold maximum principles for hypersurfaces of the Euclidean space with vanishing curvature function, obtained by Hounie-Leite (1995 and 1999). In ...
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Rational Thinking and Reasonable Thinking in Physics
... For example, let’s consider multi-dimensional time. Within the limits of existenting models that assume multi- dimensional time, there is a set of the parallel worlds (various spatial sections intersecting each other at ...
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On the index of constant mean curvature 1 surfaces in hyperbolic space
... In a seminal paper [By], R. Bryant has shown that the geometry of surfaces with constant mean curvature 1 in hyperbolic 3-space H 3 (−1) has many similarities with the geometry of minimal surfaces in ...
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Immersions of finite geometric type in euclidean spaces art jlmbarbosa Imm
... We discuss now the main results of this paper. A well-known theorem of Osser- man [7] states that the Gauss map of a nonflat, complete minimal surface of finite total curvature omits at most three points. As a first ...
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The Euclidean Steiner Ratio and the measure of chirality of biomacromolecules
... in Euclidean Space stresses the importance of the ratio of the length of the Steiner Minimal Tree to the length of the Minimum Spanning Tree (Smith and MacGregor Smith, 1995; Du and Smith, 1996) defined in ...
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Constructions of algebraic lattices
... in Euclidean space with optimal center density in dimensions 2, 3, 4, 6, 8 and 12, which are rotated versions of the lattices 3 n , for n = 2, 3, 4, 6, 8 and K 12 ...
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Embedded positive constant r-mean curvature hypersurfaces in M
... the Euclidean space must be a standard round ...the Euclidean space and the other space forms with constant mean curvature or higher order constant r-mean curvatures have been studied ...
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Geometric Analogy and Products of Vectors in n Dimensions
... in Euclidean space IR 3 is an operation in which two vectors are associated to generate a third vector, also in space IR 3 ...n-dimensional space with Euclidean norm, we can associate n ...
6
Learning to Detect Spam: Naive-Euclidean Approach
... Abstract. A method is proposed for learning to classify spam and non- spam emails. It combines the strategy of the Best Stepwise Feature Se- lection with a classifier of Euclidean nearest-neighbor. Each text email ...
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Isometric immersions of Riemannian products revisited
... HARTMAN, On isometric immersions in Euclidean space o f manifolds with nonnegative sectional.. curvatures II, Trans.[r] ...
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Space Propulsion: a Survey Study About Current and Future Technologies
... The solar sail is another concept of propulsion. It is basically a big photon reflector surface. The power source for the solar sail is the Sun and it is external to the vehicle (Sutton, 2000). Solar sail propulsion uses ...
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Interior-exterior connection in architectural design based on the incorporation of spatial in between layers. Study of four architectural projects
... of space incorporation or space ...one space inside ...holy space (the most holy space is in the heart of the building, like for example in Temple C in Selinunte, an ancient Greek city ...
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Change of Measure between Light Travel Time and Euclidean Distances
... As space between the photon and the observer expands, this expansion is added to the overall distance the photon has to travel in order to reach the observer; therefore, the Eu- clidean Distance between the photon ...
3
Untitled space
... A minha pintura é composta quase no seu todo pelos tons de cinza logo, ela transporta todas estas características que são indissociáveis a este registo cromático[r] ...
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General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
... We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also ...
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Involving users to successfully meet the challenges of the digital library: a 30 year personal reflection
... physical space “Academic libraries can retain their position as critical partners in the research enterprise by anticipating, understanding and addressing the challenges and opportunities inherent in new research ...
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