n-dimensional vector field
A Note on Nearly Quasi-Einstein Manifolds
... Einstein field equations as well as during considerations of quasi-umbilical ...(M n , g)(n > 2) is said to be quasi-Einstein manifold [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16] if its Ricci tensor ...
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On the Rotation of a Vector Field in a Four Dimensional Space
... There is no difficulty in extending the ideas about rotations presented in this work to higher dimensions, simply just utilize the aforementioned systematic increase of coordinates for points and vectors, as well as rows ...
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On related vector fields of capillary surfaces
... the first and second fundamental forms satisfy the condition 2.10, the related vector field 1.3 generates a local one-parameter group of motions in the n-dimensional domain.. In the case[r] ...
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a, N is the length of vector
... categories are also four dimensional row vectors. First and second columns represent x and y control outputs, the third and fourth columns represent their corresponding complement codes. The trained fuzzy ARTMAP ...
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Multivariate zero-truncated/adjusted Charlier series distributions with applications
... In this paper, we first proposed the multivariate ZTCS distribution and studied its distri- butional properties. Since the joint marginal distribution of any r-dimensional sub-vector of the multivariate ...
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A Tour of T duality: Geometric and Topological Aspects of T dualities
... Non-isometric T-duality, as introduced in [36, 35], was shown here and in [15] to be equivalent to the standard notion of non-abelian T-duality. In this chapter, we have suggested that a modified notion of gauging, ...
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A construction of 3-dimensional lattice sieve for number field sieve over F_{p^n}
... characteristic p has been improved substantially [8, 1]. Thus we are interested in the pairing constructed over finite field of large characteristic in this paper. For example, the optimal ate pairing [21] that ...
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Parallel Vector Field Embedding
... Specifically, we work with the CMU PIE face data set (Sim et al., 2003). This data set contains 68 subjects with 41,368 face images as a whole. The face images were captured by 13 synchronized cameras and 21 flashes, ...
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polynomialEquations
... Since in this case, the reduced Gr¨ obner basis contains polynomials of positive degree, V (I ) 6= ∅. Note also that, from the Gr¨ obner basis given above, it is clear that in(y 5 − x 4 ) = y 5 and in(x 8 − x 3 y 3 ) = x ...
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Totally real submanifolds of a complex space form
... In this section, we assume that M is an m-dimensional totally real submanifold of a complex space form Mc of real dimension 2m A normal vector field is said to be parallel if 7 - 0 for [r] ...
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Submanifolds of Dimension in a Quaternionic Projective Space under Some Curvature Conditions
... denoted by 𝑆 𝑛+𝑝+3 . Let ̃𝜋 : 𝑆 𝑛+𝑝+3 → QP (𝑛+𝑝)/4 be the natural projection of 𝑆 𝑛+𝑝+3 onto QP (𝑛+𝑝)/4 defined by the Hopf fibration 𝑆 3 → 𝑆 𝑛+𝑝+3 → QP (𝑛+𝑝)/4 . As is well known (cf. [10, 11, 20]), 𝑆 𝑛+𝑝+3 admits a ...
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INTERACTING THROUGH DISCLOSING: PEER INTERACTION PATTERNS BASED ON SELF DISCLOSURE LEVELS VIA FACEBOOK
... The novelty of the proposed approach is as follows: a Fuzzy C-Means Algorithm (FCM) from the data mining field is applied to sentiment analysis. A Fuzzy C-Means Algorithm is applied to classify semantics of ...
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Topics in Supersymmetry Breaking and Gauge/Gravity Dualities
... and N = 2 super-Schr¨ odinger symmetry cannot have more than six ...the field theory may break some of the supersymmetries present in the ...when N/k > 1, which includes the parameter region where ...
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The number of equilibria of smooth infinite economies with separable utilities
... a vector field on the price space, and that is a Fredholm map for which we know its index, we would like to give it the structure of a Z-Rothe vector field as developed by Tromba ...a ...
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Vector bundles over three dimensional spherical space forms
... In this section we give a complete enumeration of the real vector bundles of ranks 1,2, and 3 over the 3-dimensional spherical space forms. The enumeration is given in Tables 5.1 and 5.2, where we use the ...
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Particle based simulation of charge transport in discrete charge nano scale systems: the electrostatic problem
... It is worth noting that the advantage of ICC is even more significant in numerical simulations in which the dielectric boundaries do not change during a simulation run. In such a case, the matrix must be inverted only ...
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A Simple and Improved Algorithm for Integer Factorization with Implicit Hints
... In Sect. 2, we summarize basic notations and terminology, as well as some properties of Gaussian reduction algorithm for two-dimensional lattice. In Sect. 3, we clarify our problem setting, describe our proposed ...
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The Existence of Concurrent Vector Fields in a Finsler Space-I
... concurrent vector fields [7] in Definition ...a vector field which we shall call P-concurrent vector field in a Finsler ...P-concurrent vector field shall be different ...
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Lifting ordered surfaces : ellipsoidal nematic shells
... director field m into a surface tangential director field ...director field m lifted into the actual order descriptor n is just a formal artifice to represent n, precisely as is the ...
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Optimization Generation Expansion Planning by HBMO
... total cost, $; N-dimensional vector of newly introduced units in the stage 1stag=2years the number of newly introduced units of type i in stage t; cumulative capacity vector of existing [r] ...
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