3-dimensional Euclidean space
Parallel Transport Frame in 4 -dimensional Euclidean Space
... in 3−dimensional Euclidean space ...in Euclidean 3−space [1, 5]. In Euclidean 4−space E 4 , we have the same problem for a curve like being in ...
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Translation surfaces according to a new frame
... E 3 [1]. C ¸ etin et al. have investigated the translation surfaces in 3-dimensional Euclidean space by using the non-planar space curves and they gave the differential geometric ...
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On the Transformations Preserving Asymptotic Directions of Hypersurfaces in the Euclidean Space
... the Euclidean space, the projective transformation preserves the asymptotic lines of a surface [ 3 ] ...in 3-dimensional Euclidean space is the projective ...
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A quantitative method for measuring and visualizing species' relatedness in a two-dimensional Euclidean space.
... This method represents a DNA sequence in a big square that contains small squares of di ff erent colors for di ff erent nucleotides [ZSZ + 12]. ColorSquare has several advantages: (1) no degen- eracy, (2) no loss of ...
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Corresponding developable ruled surfaces in Euclidean 3-space E3
... airplane wings, and a tinsmith uses them to connect two tubes of different shapes with planar segments of metal sheets. A developable surface is a surface that can be (locally) unrolled onto a flat plane without tearing ...
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Almost Injective Mappings of Totally Bounded Metric Spaces into Finite Dimensional Euclidean Spaces
... Thus, is a completely bounded metric space if and only if for all positive γ ∈ there exists a finite γ -net in . In addition, as it is well known, is compact if and only if it’s metric is totally bounded ...
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Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space
... three-dimensional space under a mapping from the points of the curve onto the center of unit sphere keeping its direction in space by any of the following unit vectors: the principal normal, the ...
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On a residue of complex functions in the three dimensional Euclidean complex vector space
... three-dimensional Euclidean complex vec- tor space and which are more general with respect to the fundamental results of Cauchy’s calculus of residues of both analytic and nonanalytic functions, have ...
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Registration of Diffusion Tensor Images in Log-Euclidean and Euclidean Space
... Given a reference image R and a template image T , we must first decide upon how to represent them. While computer science commonly represents an image as array of color values, from a mathematical standpoint we are ...
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Normal curves in n dimensional Euclidean space
... and they find a simple relationship between rectifying curves and the notion of centrodes in mechanics [3]. Furthermore, in [4] and [5], the characterization of a rectifying curve is given in Minkowski ...
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On C integral in the n dimensional Euclidean space
... [a, c] ∪ [c, b] [4]. In this paper, we generalize the works of [1-3] to the n-dimensional Euclidean space. Four contributions of this work are as follows: Firstly, the definition of C integral ...
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differential geometry
... In order for a manifold M to be a true generalization of a flat Euclidean space, it needs to be equipped with a notion of distance. Naively, one might want to define distance of two points as the length of ...
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Adaptive Scheme for Outliers Detection in Wireless Sensor Networks
... We consider a model of WSN with N sensors scattered in a 2-dimensional environment. Each sensor has a unique identifier i 1, N . We assume that all sensors are stationary and homogeneous. In addition, ...
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Fracture and Damage Behaviors of Concrete in the Fractal Space
... fractal space and a apparent damage variable in the Euclidean space is obtained by adopting the pe- rimeter-area ...under 3-point bending test is simulated to verify the efficiency of the ...
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First eigenvalue of submanifolds in Euclidean space
... a Euclidean space of sufficiently large ...the Euclidean space. For ex- ample, in the case of an n-dimensional compact hypersurface immersed in the sphere S n+1 (c) with constant ...
6
Super parallel immersions in Euclidean space
... Two submanifolds of Euclidean n-space E n are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal ...
5
Euclidean Model of Space and Time
... between space and time known as Special Theory of Relativity (STR) in his work Zur Elektro- dynamik bewegter Körper (On the Electrodynamics of Moving Bodies) ...
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A gap theorem for free boundary minimal surfaces in the three ball
... There are classifications theorems that single out the flat equatorial disk and the critical catenoid among free boundary minimal surfaces in B 3 . Some of them will be reviewed in Section 2. In this work, we ...
10
Minimal Hypersurfaces in Euclidean Space and Applications
... Observe that there is no real need to suppose that the surface is two-dimensional, and the same equation would result for higher dimensional minimal surfaces. The geometric quantity on the left hand side is ...
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Surfaces of Constant Curvature in the Pseudo Galilean Space
... Galilean space and to study surfaces of constant ...Minkowski space 12, two classes of surfaces are introduced, spacelike and timelike surfaces, and for them the Gaussian curvature is ...the ...
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