n-dimensional Euclidean space
Normal curves in n dimensional Euclidean space
... between the curvatures for any unit speed curve to be congruent to a normal curve in the n-dimensional Euclidean space. Moreover, the differentiable function f (s) is introduced by using the ...
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On C integral in the n dimensional Euclidean space
... the n-dimensional Euclidean ...the n-dimensional Euclidean space are ...the n-dimensional Euclidean ...
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A note on the boundary behavior for a modified Green function in the upper-half space
... Motivated by (Xu et al. in Bound. Value Probl. 2013:262, 2013) and (Yang and Ren in Proc. Indian Acad. Sci. Math. Sci. 124(2):175-178, 2014), in this paper we aim to construct a modified Green function in the upper-half ...
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Translation surfaces according to a new frame
... in n-dimensional Euclidean space ...3- dimensional Euclidean space E 3 and 3-dimensional Minkowski space E 1 3 ...
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Some Study of a Cauchy Problem in Parabolic Integrodifferential Equations Class
... is a family of linear bounded operators defined on the space of all square integrable functions and is the n- dimensional Euclidean space.. We consider integrodifferential equation[r] ...
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Special Bertrand Curves in semi-Euclidean space E4^2 and their Characterizations
... semi-Euclidean space E 2 4 and investigate its ...semi-Euclidean space E 2 4 and then we obtain (N, B 2 ) -type quaternionic Bertrand curves ...
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Extension of n dimensional Euclidean vector space En over ℝ to pseudo fuzzy vector space over Fp1(1)
... vector space is discussed theoreti- ...vector space over K , where K is the space of real or complex ...vector space. In Das [1], E denotes a vector space over a field K ...
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Registration of Diffusion Tensor Images in Log-Euclidean and Euclidean Space
... ∈ N denote the number of spatial dimensions of the images we have R, T : R d → R , where T (x) gives the template image’s grey value at spatial position ...
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Almost Injective Mappings of Totally Bounded Metric Spaces into Finite Dimensional Euclidean Spaces
... most n + 1 elements of C ′ (the smallest n satis- fying this property is defined to be the dimension of ; if there are no such n , then is defined to be infinite ...finite dimensional ...
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On a residue of complex functions in the three dimensional Euclidean complex vector space
... dimensional Euclidean complex vector space r = + n as an ambient space of the two-dimensional Euclidean complex vector space ...
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A quantitative method for measuring and visualizing species' relatedness in a two-dimensional Euclidean space.
... is n then the size of the big square is d √ n e × d √ n e ...√ n e × d √ n e is generally greater than n, the big square contains more that n ...Green, N → ...
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On hyperspaces of max-plus and max-min convex sets
... Nadler, Quinn, and Stavrakas [14] proved that the hyperspace of compact convex subsets of the Euclidean space R n , n ≥ 2, is homeomorphic to the space Q \ {∗}, where Q is the Hilbert ...
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Surfaces of Constant Curvature in the Pseudo Galilean Space
... We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of ...
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Adaptive Scheme for Outliers Detection in Wireless Sensor Networks
... [1] proposed a technique that uses K-mean algorithm for clustering and then find outlier dataset. Manhattan and Euclidean distance are used in that algorithm to find mean of each cluster. The mean is then used to ...
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differential geometry
... flat Euclidean space, which I used to motivate the general definition of the covariant derivative, corresponds to a “pure gauge” connection, such that a vielbein basis exists in which A µ = ...
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A gap theorem for free boundary minimal surfaces in the three ball
... Proof. Let f : Σ → R be defined as in Lemma 1. We claim that C is a totally convex subset of Σ (recall that a subset A of a Riemannian manifold (M n , g) is totally convex when any geodesic in M n joining ...
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Fracture and Damage Behaviors of Concrete in the Fractal Space
... fractal space in this ...fractal space and Euclidean ...the Euclidean space is developed and generalized to fractal case according to the transformation rule of damage ...
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Studying Scalar Curvature of Two Dimensional Kinematic Surfaces Obtained by Using Similarity Kinematic of a Deltoid
... Abstract We consider a similarity kinematic of a deltoid by studying locally the scalar curvature for the corresponding two dimensional kinematic surfaces in the Euclidean space 5.. We[r] ...
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Linear right ideal nearrings
... ᏺ n , we require that there exist w i ∈ J i , 1 ≤ i ≤ n, such that w = w 1 + w 2 + ··· + w n and multiplication on the left of w yields the same result as multiplication by the same element on the ...
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Euclidean Model of Space and Time
... Minkowski based his thoughts on Maxwell’s equations of electrodynamic field and their intrinsic symmetry, which reveals itself particularly when the equations are written with time taken as an imaginary quantity. Here ...
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