dimensional euclidean space
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 and ...
14
A quantitative method for measuring and visualizing species' relatedness in a two-dimensional Euclidean space.
... two-dimensional Euclidean space, wherein the geometric distance between any two points is approximate to the di ff erences between their respective DNA sequence ...
109
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 ...
12
Parallel Transport Frame in 4 -dimensional Euclidean Space
... 4−dimensional Euclidean space. The relation which is well known in Euclidean 3−space is generalized for the first time in 4−dimensional Euclidean ...4−dimensional ...
13
PROPOSITION. If Eis a finte-dimensional Euclidean space andF is an isometry from Eto
... vector space and T is a linear transformation, then the zero vector is a fixed point, and a nonzero vector is a fixed point if and only if +1 is an eigenvalue of T and the vector itself is an eigenvector for this ...
13
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 ...
16
Almost Injective Mappings of Totally Bounded Metric Spaces into Finite Dimensional Euclidean Spaces
... infinite dimensional). Clearly, if can be embedded into a finite dimensional Euclidean space, then is ...metrizable space the followings are equivalent: ...
12
Lorentz Transform in Multi Dimensional Space
... six- dimensional Euclidean space, spin and isotopic spin are treated as projections of the total momentum on the sub- space X and subspace Y, respectively, while the proper magnetic moment is ...
8
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 ...
14
The existence and characterisation of duality of Markov processes in the Euclidean space
... Part I of this thesis presented the criterion for a dual Markov process to exist in a finite dimensional Euclidean space. At this point a natural question is; are we able to explicitly characterise ...
109
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 ] ...3-dimensional Euclidean space is the projective ...
10
2. On Bertrand Supercurves in Super-Euclidean Space
... three- dimensional Euclidean space R 3 and a second curve can exist which has for this prin- cipal normals of the given ...the space R n were given in ...
17
19. Position vectors of general helices in Euclidean 3-space
... In Euclidean space E 3 , it is well known that to each unit speed curve with at least four continuous derivatives, one can associate three mutually orthogonal unit vector fields T, N and B which are ...
8
Smoothed analysis for partitioning algorithms for d dimensional Euclidean optimization problems
... The Euclidean functionals that we will use in this paper are all connected to certain optimization ...of Euclidean functionals above, the functional of a problem maps a point set to the value of its optimal ...
20
A new extragradient method for generalized variational inequality in Euclidean space
... where ·, · stands for the Euclidean inner product of vectors in R n . The solution set of problem (.) is denoted by X ∗ . Certainly, the GVI reduces to the classical variational in- equalities (VI) when F is a ...
11
AN APPLICATION OF FACTORABLE SURFACES IN EUCLIDEAN 4-SPACE E4 (2)
... A factorable surfaces (also known homotethical surfaces) in E 3 , which can be parametrized, locally, as X(u, v) = (u, v, f (u)g(v)), where f and g are smooth functions [8]. Some au- thors have considered factorable ...
7
The topology of asymptotically Euclidean static perfect fluid space-time
... In this chapter we apply our maln theorem to prove that a complete, asymptotically Euclidean, static perfect fluid space-time with connected fluid region and satisfying "timelike converg[r] ...
102
Value-at-Risk Modeling with Conditional Copulas in Euclidean Space Framework
... In Euclidean space there is an orthogonal basis and the Gram-Schimdt process allows to build ...a Euclidean space, any orthogonal family can be completed in an orthogonal ...a euclidean ...
14
Quaternionic representation of the moving frame for surfaces in Euclidean three space and Lax pair
... The study of surfaces in three- and higher-dimensional spaces has seen a resurgence of interest recently due to various applications of these surfaces to various areas of mathematical physics, especially to the ...
8
Quaternions applied to physics in non euclidean space 1 The mathematical methods
... Tlie terms "similarly directed" and 'oppoand site " give different meanings for the two axes except when the centre or axis of symmetry is given the terms ought not to be used in ellipti[r] ...
19