منابع مشابه
How is a vector rotated?
In an earlier series of articles1, we saw how very general arguments such as linearity, homogenity and symmetry could be used to derive a number of results in vector (and tensor) analysis. Moreover, generalizations of many of these results to an Euclidean space of an arbitrary number (n) of dimensions could be made quite readily. The special features of three dimensions (3D) were also brought o...
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Vector representation of words improves performance in various NLP tasks, but the high-dimensional word vectors are very difficult to interpret. We apply several rotation algorithms to the vector representation of words to improve the interpretability. Unlike previous approaches that induce sparsity, the rotated vectors are interpretable while preserving the expressive performance of the origin...
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15 صفحه اولConcurrent vector fields on Finsler spaces
In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fields. We also prove that an L-reducible Finsler metric admitting a concurrent vector field reduces to a Landsberg metric.In this paper, we prove that a non-Riemannian isotropic Berwald metric or a non-Riemannian (α,β) -metric admits no concurrent vector fi...
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We have already studied several kinds of functions of several variables: vector valued functions of a scalar variable – i.e., parameterized curves in the plane and in space; scalar-valued functions of two or more variables (the case of two variables z = f(x, y) giving the graph of a surface in space; and functions from the plane to space, parameterized surfaces. Here we consider functions V fro...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1993
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1044